The length at which the restoring force is 2F is given by the following expression:
[tex]x = (-2F + F / (13 cm - 10 cm) * 10 cm) / (F / (13 cm - 10 cm))[/tex]
What is restoring force?The restoring force of a spring is proportional to its displacement from its unstretched length, according to Hooke's law:
F = -kx
where F is the restoring force, k is the spring constant, and x is the displacement from the unstretched length.
If we know the restoring force F when the spring is stretched to a length of 13 cm, we can find the spring constant k:
[tex]F = -k * (13 cm - 10 cm)\\k = F / (13 cm - 10 cm)[/tex]
Next, we can find the displacement that gives a restoring force of 3F:
[tex]3F = -k * (x - 10 cm)\\3F = -k * x + k * 10 cm\\-3F = k * x - k * 10 cm\\-3F + k * 10 cm = k * x\\x = (-3F + k * 10 cm) / k[/tex]
Substituting the value of k, we get:
[tex]x = (-3F + F / (13 cm - 10 cm) * 10 cm) / (F / (13 cm - 10 cm))[/tex]
So, the length of the spring for which its restoring force is 3F is given by the above expression.
b. To find the length at which the restoring force is 2F, we can use the same method as above and replace 3F with 2F:
[tex]2F = -k * (x - 10 cm)x = (-2F + k * 10 cm) / k[/tex]
Substituting the value of k, we get:
[tex]x = (-2F + F / (13 cm - 10 cm) * 10 cm) / (F / (13 cm - 10 cm))[/tex]
So, the length at which the restoring force is 2F is given by the above expression.
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Will a projectile follow a perfectly parabolic path when there is no air resistance?
A projectile will follow a perfectly parabolic path when there is no air resistance because of gravity:
In kinematics, the term "acceleration of a particle" is used to describe the rate at which velocity changes in a given direction and over a given time. When a particle moves vertically, it is sometimes referred to as gravity-induced acceleration.
The acceleration caused by gravity always operates downward in a parabolic path when there is no air resistance, and the velocity vector always acts perpendicular to the path.
At the topmost point, when the acceleration acts downward and the velocity is tangent to the path, it will automatically act in a perpendicular direction to the acceleration, as mentioned in section A concerning the path of the acceleration and the velocity.
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To find the vector components of a vector with respect to two orthogonal vectors, we can use the projection formula. Let's first find the projection of on the vector :
proj = (( · ) / ( · ))
= ((-9)(-6) + (-1)(2)) / ((-9)^2 + (-1)^2)
= -56/82
= -28/41
Now, let's find the vector in the direction of :
in = proj = (-28/41)
To find perpendicular to , we can subtract from :
⊥ = - in
⊥ = [6/41, -28/41]
Therefore, we can write as the sum of two orthogonal vectors:
= in + ⊥
= [-9, -1]
= [-9*(-28/41) , -1*(-28/41)] + [6/41, -28/41]
= [252/41, -28/41] + [6/41, -28/41]
= [258/41, -56/41]
Thus, we have decomposed into two orthogonal vectors, in the direction of and ⊥ perpendicular to.
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A car starts from rest on a curve with a radius of 100 m and tangential acceleration of 1.4 m/s2 .Through what angle will the car have traveled when the magnitude of its total acceleration is 2.6 m/s2?
The angle the car will have traveled when the magnitude of its total acceleration is 2.6 m/s2 is approximately 33.0°.
This can be found using the equation a=v2/r, where a is the magnitude of the total acceleration, v is the tangential velocity, and r is the radius of the curve.
Rearranging this equation to solve for theta (θ), we get θ = (v2/a) x (180/π). Plugging in the given values for a, v, and r, we get θ = (1.4^2/2.6) x (180/π) ≈ 33.0°.
Acceleration is the rate of change of velocity measured in meters per second (m/s) squared. It is the rate at which an object's speed and direction of motion change over time. Acceleration can be caused by a variety of forces, such as gravity, friction, or a push or pull. It can also be caused by changes in speed or direction, such as when an object is speeding up or slowing down.
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The total current density in a semiconductor is constant and equal to J10 A/cm2. The total current is composed of a hole drift current and an electron diffusion current. Assume that the hole concentration is constant and equal to 1016 cm3 and that the electron concentration is given by n(x) = 2x 1015c"1cm" where L = 15 μm. The electron diffusion coefficient is D,-27 cm2/s and the hole mobility is μ,-420 cm2/Vs. Calculate (a) the electron diffusion current density for x > 0, (b) the hole drift current density for >0, and (c) the required electric field for x >0.
The required electric field for x > 0 is 2.0 x 10^3 V/cm.
Given:
Total current density, J = 10 A/cm²
Hole concentration, p = 10¹⁶ cm⁻³
Electron concentration, n(x) = 2x10¹⁵x cm⁻³, where L = 15 μm, and x > 0
Electron diffusion coefficient, Dₙ = 27 cm²/s
Hole mobility, μₚ = 420 cm²/Vs
To calculate:
(a) Electron diffusion current density for x > 0
(b) Hole drift current density for x > 0
(c) Electric field for x > 0
Solution:
(a) The electron diffusion current density can be calculated using the equation:
Jn = -qDn(dn/dx)
where q is the electronic charge, and dn/dx is the gradient of the electron concentration profile.
q = 1.6x10⁻¹⁹ C (electronic charge) (electronic charge)
Dn/Dx = 2 x 1015 cm4 (gradient of electron concentration)
If we apply these values, we obtain:
Jn = -(1.6x1019 C) (27 cm2/s) (2x1015 cm4) = -8.64 A/cm2.
The electron diffusion current is said to be flowing in the opposite direction from the direction of the total current density when it has a negative sign.
(b) The equation: Jp = qppE, where E is the electric field and pp is the hole concentration, can be used to calculate the hole drift current density.
pp = 10¹⁶ cm⁻³ (constant hole concentration) (constant hole concentration)
The values of Jn and pp, along with the formula J = Jn + Jp, allow us to calculate Jp:
Jp = Jn = 10 A/cm2 - (-8.64 A/cm2) = 18.64 A/cm2, where
This value, q, and pp are all substituted into the equation for Jp to produce the following result:
Jp equals (1.6x1019 C)(420 cm2/Vs)(1016 cm3).
E = 18.64 A/cm²
Solving for E, we get:
E = Jp/(qμpp) = (18.64 A/cm²)/[(1.6x10⁻¹⁹ C)(420 cm²/Vs)(10¹⁶ cm⁻³)] = 0.28 V/cm
(c) The electric field required for x > 0 is 0.28 V/cm.
Therefore, the electron diffusion current density is -8.64 A/cm², the hole drift current density is 18.64 A/cm², and the required electric field is 0.28 V/cm for x > 0.
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consider a 5-m-high, 8-m-long, and 0.22-m-thick wall whose representative cross section is as given in the figure. the thermal conductivities of various material used, in w/m.k, are kA=kF=2,kC=20,kD=15 and kE = 35. The left and right surfaces of the wall are maintained at uniform temperatures 300C and 100C,respectively. Assuming heat transfer through the wall to be one-dimensional, determine
(a) the rate of heat transfer through the wall;
(b) the temperature at the point where the sections B, D, and E meet; and
(c) the temperature drops across the section F. Disregard any contact resistances at the interfaces.
The total thermal resistance of the wall can be found by summing the thermal resistances of each section:
= 4.277 m^2.K/W
To determine the rate of heat transfer through the wall, we can use Fourier's law of heat conduction which states that the rate of heat transfer through a material is proportional to the temperature gradient across the material, and can be expressed as:
q = -kA * dT/dx
where q is the rate of heat transfer, kA is the thermal conductivity of the material, dT/dx is the temperature gradient, and the negative sign indicates that heat flows from higher temperatures to lower temperatures.
(a) To find the rate of heat transfer through the wall, we need to first determine the thermal resistance of each section of the wall. The thermal resistance is given by:
R = L / k
where R is the thermal resistance, L is the length of the material, and k is the thermal conductivity.
Using this equation, we can find the thermal resistance of each section as follows:
[tex]R_A = 5 / 2 = 2.5 m^2.K/W[/tex]
[tex]R_B = 0.22 / 35 = 0.0063 m^2.K/W[/tex]
[tex]R_C = 5 / 20 = 0.25 m^2.K/W[/tex]
[tex]R_D = 0.22 / 15 = 0.0147 m^2.K/W[/tex]
[tex]R_E = 0.22 / 35 = 0.0063 m^2.K/W[/tex]
[tex]R_F = 3 / 2 = 1.5 m^2.K/W[/tex]
(b) To find the temperature at the point where sections B, D, and E meet, we can assume that there is no heat generation within the wall (i.e., steady-state conditions), so the temperature at any point within the wall is the same in the x-direction. Therefore, we can use the thermal resistance network to find the temperature drop across each section:
ΔT_A = (300 - 100) = 200°C
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A chair of weight 95.0 N lies atop a horizontal floor; the floor is not frictionless. You push on the chair with a force of F = 38.0 N directed at an angle of 42.0° below the horizontal and the chair slides along the floor. a) using newtons laws, calculate n, the magnitude of the normal force that the floor exerts on the chair
b) if the chair slides along the floor with a constant speed, calculqte the magnitude of the frictional force acting on the chair
The magnitude of normal force that floor exerts on chair is 120.24 N. the magnitude of the frictional force acting on the chair is 123.24 N
Simply put, "distance or quantity" is the definition of size. In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. Magnitude in physics typically refers to a size or quantity.
Vertical component of the force = F sinθ
= 38X sin42°
= 38 X 0.669
= 25.42N
Total normal force acting on the chair = weight +Vertical component force
Total normal force acting on the chair = 95N + 25.42N
= 120.24 N
horizontal component of force= f cosθ.
= 38X cos 42°
= 38 X 0.743
= 28.24 N
Total normal frictional force on the chair
frictional force = weight+ horizontal component of force
frictional force= 95N + 28.24 N
frictional force= 123.24 N
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A student fires a 0.07 kg arrow at an object with mass m that is initially at rest on a frictionless surface. The speed of the arrow before the collision is 90 m/s. The speed when the arrow emerges from the object is v. What is the resulting velocity of the object? (4 pts)
b) Is the collision between the arrow and the object elastic or inelastic? Include evidence to support your answer
To solve this problem, we can use the law of conservation of momentum, which states that the total momentum of a system is conserved in the absence of external forces. In this case, the system consists of the arrow and the object.
Before the collision, the arrow has a momentum of:
p1 = m1v1 = (0.07 kg)(90 m/s) = 6.3 kg m/s; where m1 is the mass of the arrow and v1 is its velocity.
Since the object is initially at rest, its momentum is zero:
p2 = m2v2 = (m)(0) = 0; where m2 is the mass of the object and v2 is its velocity.
After the collision, the arrow and the object move together with a common velocity v. The total momentum of the system after the collision is:
p3 = (m1 + m2)v
Using the law of conservation of momentum, we can equate the initial and final momenta:
p1 + p2 = p3
Solving for v, we get:
v = p1/(m1 + m2) = (6.3 kg m/s)/(0.07 kg + m)
To determine the resulting velocity of the object, we need to solve for v. One way to do this is to use the law of conservation of energy, which states that the total energy of a system is conserved in the absence of external forces.
The initial kinetic energy of the system is: KE1 = (1/2)m1v1^2 = (1/2)(0.07 kg)(90 m/s)^2 = 283.5 J; where KE1 is the initial kinetic energy of the arrow.
The final kinetic energy of the system is:
KE2 = (1/2)(m1 + m2)v^2
Using the law of conservation of energy, we can equate the initial and final kinetic energies:
KE1 = KE2
Solving for v, we get:
v = sqrt(2KE1/(m1 + m2)) = sqrt(2283.5 J/(0.07 kg + m))
To determine whether the collision is elastic or inelastic, we can compare the system's initial and final kinetic energies. If the kinetic energy is conserved, then the collision is elastic. If the kinetic energy is not conserved, then the collision is inelastic.
The initial kinetic energy of the system is 283.5 J. The final kinetic energy of the system is:
KE2 = (1/2)(m1 + m2)v^2
Substituting the value of v we obtained earlier, we get:
KE2 = (1/2)(0.07 kg + m)(6.3 kg m/s)^2/(0.07 kg + m)
To determine whether the collision is elastic or inelastic, we must compare KE1 and KE2. Since the object's mass is unknown, we cannot make a definitive conclusion about the nature of the collision. However, we can provide some evidence to support our answer.
If the collision is elastic, then KE2 should be equal to KE1. However, if we substitute v = 90 m/s into the expression for KE2, we get: KE2 = (1/2)(0.07 kg + m)(90 m/s)^2/(0.07 kg + m) = 4050 J. This value is greater than KE1, which indicates that the collision is not elastic. Therefore, we can conclude that the collision is inelastic.
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Sally was removing her nail polish to get ready for a dance. She was also drinking a bottle of water. The doorbell rang and she rushed to answer it, leaving the open bottle of nail polish remover (acetone) and the bottle of water open. Sally forgot about them until the next morning and when she checked, the nail polish remover (acetone) was empty and the water looked untouched.
Sally believes the particles in water stick together more. In terms of your knowledge of the strength of electrical forces and the structure of substances, explain Sally's statement.
Answer:
kekekekekhshshehshehdhdhdhdhdhdhdhdh
Part A Consider a circuit containing five identical light bulbs and an ideal battery. Assume that the resistance of each light bulb remains constant. Rank the bulbs (A through E) based on their brightness. Rank from brightest to dimmest. To rank items as equivalent, overlap them.
Ranking of the bulbs based on their brightness are C - A - B - D - E.
How to convey the informationBulb A and B are connected in parallel. Bulb D and E are connected in series and the bulb DE is parallel with bulb C. Resistance of each bulb is remain constant.
Bulb D and E are connected in the series so power dissipated in the D and E are same. Bulb C is in parallel with bulb DE. 2/3 of current pass through bulb C and 1/3 of current pass through bulb DE.
Bulb C has brightest than A and B which are equal and D and E are dimmest
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What are the magnitude and direction of the electric field at P 1 when t=3.00s and r 1 =0.02m.
a. 0,3 v/m
b. 0,6 v/m
c. 0,9 v/m
d. 0,12 v/m
The magnitude and direction of the electric field at P 1 when t = 3.00 s and r 1 = 0.02m is 0.3 v/m (option A). The direction is anti clockwise.
The force per charge on the test charge is a straightforward way to define the size of the electric field. From its definition, the common metric units for electric field strength are derived. Electric field units would be force units divided by charge units since the definition of an electric field is a force per charge.
The magnitude of the electric field at P1 is as follows:
E1 = dΦ/dt
E (2πr1) = S dB/dt
= r1/2 (dB/dt)
= r1/2 ║6t² + 8t║
= 0.2 / 2 ║6 (3²) + 8 (3)
= 0.3 v/m
The electric field is oriented counter clockwise to the direction of the induced current in a hypothetical circular conducting loop that passes through P 1.
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According to the 1998 Guinness Book of World Records stuntman Dan Koko fell a distance of 365 feet into an airbag after jumping from the Vegas World Hotel and Casino. The distance d in feet traveled by a freefalling object in t seconds is given by the formula d = 16t 2. To the nearest tenth of a second, how long did the stuntman's freefall last?
Solution of the question with the information which is given is:
Ignoring wind resistance and using 32ft/sec/sec as acceleration due to gravity.
d= 16 t2
t2= 365/ 15
t= 4.8 seconds
Therefore the hit impact was about 4.8 seconds
In Newtonian physics, free fall is any motion of a body where gravity is the only force acting upon it. In the context of general relativity, where gravitation is reduced to a space-time curvature, a body in free fall has no force acting on it.
According to Newton's second law of motion, force (F) = mass (m) times acceleration, an item in free fall will move with an acceleration (a). We can use a little mathematics to determine the object's acceleration in terms of the net external force and the object's mass (a = F / m).
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Which of the following results of correlational studies implies that environmental contributes to the determination of IQ?
Correlations for children and their adoptive parents are statistically significant and positive
The right response is that identical twins have stronger correlations than fraternal twins do.
What is correlational example?If there are several pizza truck in the region, each with its own distinctive jingle, we would learn them all by heart and associate each one with a certain pizza truck. Establishing a connection between two variables, in this case "jingle" and "distance of the truck" in this example, is exactly what correlational research involves.
What is correlational in psychology?A nonexperimental research method known as correlational analysis measures two variables and evaluates the statistical relationship (also known as the correlation) among them with little to no effort to control unrelated variables.
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If you take snapshots of a standing wave on a string, there are certain instants when the string is totally flat v Part A What has happened to the energy of the wave at those instants?- The energy is transformed into the potential energy of the string - The energy is transformed into the kinetic energy of the string except of the nodes - The energy is transformed into the energy of sound waves in the air
The correct option this question is option B. Flat wave obtained by superposition of two waves. The energy is transformed into the kinetic energy of the string except of the nodes.
The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body keeps the kinetic energy it acquired throughout its acceleration unless its speed changes.
Kinetic energy has the following formula: K.E. = 1/2 m v2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kilograms-meters squared per second squared if the mass is measured in kilograms and the velocity is measured in meters per second.
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Dr. John Paul Stapp was U.S. Air Force officer who studied the effects of extreme deceleration on the human body. On December 10, 1954, Stapp rode a rocket sled, accelerating from rest to a top speed of 282 m/s (1015 km/h) in 5.00 s, and was brought jarringly back to rest in only 1.40 s! a. Calculate his acceleration. Express as a multiple of g (9.80 m S-2) by taking its ratio to the acceleration of gravity. b. Calculate his deceleration. Express as a multiple of g (9.80 m S-2) by taking its ratio to the acceleration of gravity.
Officer who studied the effects of extreme deceleration on the human body, his acceleration is 5.76g and his deceleration is 20.56 g.
In the world of wisdom, acceleration and deceleration are two of the most crucial concepts. Any object's rate of change in speed is referred to as its acceleration, and a negative acceleration value is referred to as deceleration.
In this situation, it is more important to speed up than to slow down, especially when sprinting a short distance, where the speed needs to be increased constantly.
Acceleration is used in a variety of creative ways every day. Robotic acceleration, which is accelerated at a specific time, is used to identify acceleration.
a) acceleration
[tex]a =(v-u)/t\\u=initial velocity =0\\\\v=final velocity =282m/s\\\\t=time=5sec\\a=(282-0)/5\\=56.4m/s2\\=56.4/9.8\\=5.76[/tex]
a=5.76g/s2=acceleration
His acceleration = 5.76g
b) Deceleration
[tex]r=(u-v)/t\\u=282m/s\\v=0\\t=1.4sec\\r=(282-0)/1.4\\=201.43m/s2\\=201.43/9.8\\=20.55[/tex]
r=20.55g = (magnitude )
His deceleration is 20.56 g
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in fair weather there is an electric field at the surface of the earth, pointing down into the ground.T/F
The statement "In fair weather there is an electric field at the surface of the earth, pointing down into the ground" is a TRUE statement.
Electric field is a region in a particular space that induces forces on charged particles. The induced force that the particles experience will cause them to undergo motion, either parallel or antiparallel to the field direction depending on the sign of the charge.
A positive charge will cause the particles to move parallel to the field, while a negative charge will cause the particles to move anti-parallel to the field. In case of area with fair weather, the electric field is directed vertically downward to the earth.
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cable abc has a length of 5 m. determine the tension developed in abc (in n) required for equilibrium of the 143-kg sack.
To determine the tension developed in cable ABC required for the equilibrium of the 143-kg sack, we need to consider the forces acting on the sack and apply the principle of equilibrium.
First, let's draw a free-body diagram of the forces acting on the sack:
where T is the tension in cable ABC.
The weight of the sack (W) is given by:
W = m*g
where m is the mass of the sack and g is the acceleration due to gravity (9.8 m/s^2).
W = 143 kg * 9.8 m/s^2 = 1397.4 N
Since the sack is in equilibrium, the sum of the forces acting on it in the vertical direction must be zero:
T - W = 0
T = W = 1397.4 N
Therefore, the tension developed in cable ABC required for the equilibrium of the 143-kg sack is 1397.4 N.
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As you read through the Case Study of Cold Fusion, Cite evidence in the text for or against science.
Answer:Cold fusion: A case study for scientific behavior ... Scientists take into account all the available evidence when deciding whether to accept an idea or not ...
Explanation:
a lot of extra positive charges are on one plate, and negative charges on the other, how do these extra charges affect the batteries ability to push even more charges onto the plates
The battery's ability to push more charges onto the plates is determined by its maximum electromotive force, which is reached when the battery has already pushed as many charges as it can onto the plates.
A battery's electromotive force (EMF), a measurement of the potential difference between its positive and negative terminals, determines its capacity to drive additional charges onto the plates. A battery's EMF reaches its peak when it is completely charged and can no longer push charges onto the plates.
The battery has already pushed as many charges as it can onto the plates if one plate has a lot of excess positive charges, while the other plate has a lot of extra negative charges. The battery can no longer put charges onto the plates since it has achieved its maximum EMF.
As a result, the additional fees on the plates have no bearing.
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A rescue team is searching for Andrew, a geologist who was stranded while conducting research in the mountains of Colorado. The team uses electronic listening devices in order to detect any shouts for help. The sound waves from his shouts reaching the base camp can be approximated by a sinusoidal wave with a frequency f = 450 Hz and displacement amplitude A = 4.00×10−8 m , where the sound wave properties are valid at the base camp where the measurements are being made. What sound intensity level will the rescue team measure from the frightened researcher? Assume the speed of sound is v=332m/s and the density of air rho = 1.33 kg/m3 .
Calculate the bulk modulus B of air using the given values of the sound speed and air density. Express your answer numerically in Pascals.
1. The sound intensity level will the rescue (that searching for Andrew, a geologist who was stranded while conducting research in the mountains of Colorado) team measure from the frightened researcher = 2.82 x 10–⁶ W/m²
2. The bulk modulus B of air = 1.46 x 10⁵ Pa
The energy of the wave between the order per unit area of the same is what determines how loud a sound is. The energy is computed by integrating the mechanical energy over a period, where's' is the sound wave's amplitude and the mass is affected by density.
The intensity of the wave:
I = 2 π² f²A²v ρ
= 2 π² (450)² (4.00 x 10–⁸)² (332) (1.33)
= 2.82 x 10–⁶
The bulk modulus:
B = v²ρ
= (332)² (1.33)
= 1.46 x 10⁵ Pa
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Give an example of a machine that increases speed, a
250 J of ene
machine that changes the direction of force, and a machine
ie speed,
that increases force.
A machine that increases force, force direction, and speed, as well as an illustration of each. A bicycle increases speed, an ax changes direction of force, and a car jack increases force.
What is Speed?Machine that increases speed, a machine that increases direction of force, and a machine that increases force. A bicycle increases speed, an ax changes direction of force, and a car jack increases force. contrast the scientific definition of work with it's everyday meaning.
Speed powder may have traces of pink or grey and can range in color from white to brown. It tastes harsh and has a pungent aroma. Also available in pill form.
Therefore, A machine that increases force, force direction, and speed, as well as an illustration of each. A bicycle increases speed, an ax changes direction of force, and a car jack increases force.
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a rocket starts from rest and moves upward from the surface of the earth. for the first 10.0 s of its motion, the vertical acceleration of the rocket is given by ay = (2.70 m/s^3)t, where the +y- direction is upward.
a) What is the height of the rocket above the surface of the earth at t = 10.0 s?
b) What is the speed of the rocket when it is 275 m above the surface of the earth?
At t = 10.0 s, the rocket is 135 m above the surface of the earth.
What is acceleration? What is its SI equivalent?In physics, acceleration is the rate at which the velocity of an object changes in relation to time. According to Newton's Second Law, the sum of all forces acting on an item results in its acceleration. Meter per second squared (m s2) is the unit of acceleration used in the SI system.
We can utilise the equations of motion with constant acceleration to resolve this issue. The formula we require is:
[tex]y = yo + vot + 1/2at^2[/tex]
where:
y is the final position of the rocket above the surface of the earth
yo is the initial position, which is 0 m
vo is the initial velocity, which is 0 m/s
a is the acceleration of the rocket, which is given by ay = [tex](2.70 m/s^3)t[/tex]
t is the time elapsed, which is 10.0 s
Plugging in the values, we get:
[tex]y = 0 + 0(10.0) + 1/2(2.70)(10.0)^2[/tex]
y = 135 m
[tex]v^2 = vo^2 + 2a(y - yo)[/tex]
where:
v is the final velocity of the rocket
vo is the initial velocity, which is 0 m/s
(B) A is the acceleration of the rocket, which is given by ay =[tex](2.70 m/s^3)t[/tex]
y is the final position of the rocket, which is 275 m
yo is the initial position, which is 0 m
Plugging in the values, we get:
[tex]v^2 = 0^2 + 2(2.70)(275 - 0)[/tex]
[tex]v^2 = 1485v = sqrt(1485)v = 38.5 m/s[/tex]
The speed of the rocket when it is 275 m above the surface of the earth is 38.5 m/s.
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You have a horizontal grindstone (a disk) that is 93 kg, has a 0.33 m radius, is turning at 86 rpm (in the positive direction), and you press a steel axe against the edge with a force of 21 N in the radial direction.
a) assuming that the kinetic coefficient of friction between steel and stone is 0.20, calculate the angular acceleration of the grindstone in rad/s2.
b) what is the number of turns, N, that the stone will make before coming to rest?
a) The angular acceleration of the grindstone 0.27 rad per square second. b) The number of turns stone will make before coming to rest is 23.9 revolutions.
a) The tangential force slowing the grindstone is fF.
Its torque is rfF.
By Newton's Second Law
rfF = Iα
Therefore, α = 2fF/mr
Substituting actual numbers
α = 2×0.2×21/(93×0.33) = 0.27 rad per square second
b) Let t be the time it takes the grindstone to come to rest, θ be the total angle by which the grindstone will turn before coming to rest.
ω = αt
θ = αt²/2
From the first and second,
θ = ω²/2α
Substitute actual numbers
θ = 9²/2×0.27 = 150
The above result is in radians.
Since the result is supposed to be given in revolutions, 150/2π = 23.9 revolutions.
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How long it takes paint to dry can have an impact on the production capacity of commerce. An auto body & paint business invested in a paint-drying robot to speed up its process. An interesting question is, "Do all paint-drying robots have the same drying time?" To test this suppose we sample five drying times for each of the different brands of paint-drying robots. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. Suppose the following data were obtained.
Robot 1 Robot 2 Robot 3 Robot 4
127 144 134 151
137 133 143 142
136 142 138 135
125 146 135 141
135 125 125 146
At the α
=
0.05
level of significance, test to see whether the mean drying time is the same for each type of robot.
Find the p-value.
The sum of squares of error, treatment, within and between four painters are: 330, 692, 110 and 43.25.
The data provided is for the dying time of four different types of paint.
One-way ANOVA can be used to determine whether all the four paints have the same drying time.
Use Excel to perform the one-way ANOVA.
Go to Data → Data Analysis → Anova: Single Factor
A dialog box will open. Select the data. Select "Grouping" as Columns.
Press OK.
The output is attached below.
The required values are as follows:
(1) Sum of Squares of Treatment (Between Subjects):
SST = 330
(2) Sum of Squares of Error (Within Subjects):
SSE = 692
(3) Mean Squares Treatment (Between Subjects):
MST = 110
(4) Mean Squares Error (Within Subjects):
MSE = 43.25
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--The complete question is, Four different paints are advertised as having the same drying time. To check the manufacturers' claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded for each sample. The data obtained follow. Excel File: data 16-21.xls Paint 1 Paint 2 Paint 3 Paint 4 128 137 135 133 144 133 142 146 130 143 137 124 136 141 131a. Use a = .05 to test for any significant differences in mean drying time among the paints. If an amount is zero, enter "0. Test to see whether the mean drying time is the same for each type of paint.--
compared to the electrical potential energy of the system at a separation of 12 meters, the electrical potential energy of the system at a separation of 6 meters is
The electrical potential energy of the system at a separation of 6 meters is greater than the electrical potential energy of the system at a separation of 12 meters.
The electrical potential energy of the system at a separation of 6 meters is greater than the electrical potential energy of the system at a separation of 12 meters. This is because electrical potential energy is inversely proportional to the separation distance between the charges. As the separation distance decreases, the electrical potential energy increases. This relationship can be represented by the equation:
U = kq1q2/r
where U is the electrical potential energy, k is a constant, q1 and q2 are the charges, and r is the separation distance. As r decreases, U increases.
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Car A travels with speed v around curve number one, which has a radius r. Car B travels with speed 2v around curve number two, which has a radius 2r. The acceleration will be ?
1-greater for car A.
2-greater for car B.
3-zero for both cars.
4-the same for both cars.
chose one
The acceleration will be greater for car B.
What is Acceleration ?Acceleration is a physical quantity that describes the rate at which an object's velocity changes over time. It is defined as the change in velocity per unit of time, and it is a vector quantity, meaning it has both magnitude and direction.
When an object experiences acceleration, its velocity changes either in speed, direction, or both. If the acceleration is in the same direction as the velocity, the object's speed increases. If the acceleration is in the opposite direction as the velocity, the object's speed decreases. If the acceleration is perpendicular to the velocity, the object's direction changes.
The standard unit of acceleration is meters per second squared (m/s^2). A positive acceleration indicates that an object is speeding up, while a negative acceleration indicates that an object is slowing down. If the acceleration is zero, then the object's velocity is constant.
According to the given information:To calculate the acceleration of each car around its respective curve, we can use the following formula:
a = v^2 / r
where a is the centripetal acceleration of the car, v is its speed, and r is the radius of the curve.
For car A, traveling at speed v around curve number one with radius r, the acceleration is:
a_A = v^2 / r
For car B, traveling at speed 2v around curve number two with radius 2r, the acceleration is:
a_B = (2v)^2 / (2r) = 4v^2 / (2r) = 2v^2 / r
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Why there are positive and negative magnetic anomalies on the seafloor?
Positive anomalies result when the crust is magnetised in a normal polarity parallel to the ambient field of Earth, and negative anomalies result when the crust is reversely magnetised in an opposite sense.
A positive magnetic anomaly is a reading that exceeds the average magnetic field strength and is usually related to more strongly magnetic rocks, such as mafic rocks or magnetite‐bearing rocks, underneath the magnetometer. A value that is lower than the typical magnetic field is referred to as a negative magnetic anomaly.
These anomalies are classified as negative or magnetic lows if their strength is below normal and positive or magnetic highs if it is above normal. These anomalies are typically caused by variations in magnetic susceptibility, which in turn mostly reflect the rocks' magnetite content.
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the enthalpy h of a thermodynamic system with pressure p, volume v , and internal energy e is defined by h.T/F
The enthalpy h of a thermodynamic system with pressure p, volume v , and internal energy e is defined by h is True.
Enthalpy, the sum of the internal energy and the product of the pressure and volume of a thermodynamic system. Enthalpy is an energy- suchlike property or state function — it has the confines of energy( and is therefore measured in units of joules or ergs), and its value is determined entirely by the temperature, pressure, and composition of the system.
Enthalpy, denoted by the symbol H, is the sum of the internal energy, denoted by E, and the product of the pressure and volume, denoted by PV.
H = E + PV
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HELP!!!!What is the kinetic energy (in joules) of a 0.06kg ball moving at 50m/s?
Answer:
75 J
Explanation:
according to mead, postfigurative cultures are described as having a level of peer influence, whereas prefigurative cultures are described as having a level of peer influence.
In prefigurative cultures, young people learn primarily from the elders, and peer influence is relatively low. The culture remains stable and resistant to change.
In postfigurative cultures, young people learn primarily from their peers, and the influence of elders is relatively low. These cultures are more susceptible to change and are often associated with technological advances, globalization, and other social changes.
What is a postfigurative culture?A postfigurative culture is one in which the older generation teaches the younger generation information and morals. Slow societal change, learning from elders' experiences, and the transmission of cultural values and customs from one generation to the next are characteristics of this sort of culture. Postfigurative societies place a high value on family honoraria and ancestor reverence (sometimes known as "ancestor worship"). Anthropologist Margaret Mead initially used the word "postfigurative" to characterize civilizations that placed a high priority on tradition and the passing of knowledge from older to younger generations in the 1960s. Prefigurative cultures, on the other hand, emphasize the wisdom and experience of the younger generation and go through fast social transformation.
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A hummingbird gains a significant electric charge while flying and feeding. This has consequences: When a charged bird approaches a flower (Figure 1), the stamens of the flower bend toward the bird, even though the stamans are uncharged. Part A Explain how this happens Drag the terms on the left to the appropriate blanks on the right to complete the sentences. Reset Help toward The charge of the hummingbird ____ the stamen polarizes The charged opposite to the bird's charge particles of the stamen move ___ the bird, and like charged particles move ____the bird Therefore, the net electric force on the stamen is directed ____the hummingbird Submit Request Answer
When a hummingbird is flying and feeding, it gains a significant electric charge. When a charged bird approached a flower, the stamens of the flower (the part that produces pollen) bent toward the bird because it got polarized. This electrostatic charge is useful for a flower's reproduction process. Charged pollen can settle more effectively.
Attached below is the figure with the full question.
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Identify the true statements about the periodic review model.
a. in a periodic review model, the order of a fixed quantity is placed when the reorder point (ROP) is reached
b. in a periodic review model, the quantity ordered in each review varies
c. it provides constant knowledge of the inventory status of an item
d. it establishes a fixed or interval
The true statements about the periodic review model are:
b. in a periodic review model, the quantity ordered in each review varies
d. it establishes a fixed or interval
About periodic review systemA periodic review system allows you to determine the quantity of items you have in stock at specified regular intervals, such as every Friday or the last day of the month. Similar to the Minimax system, we order the quantity (Q) that is the target stock (TI) minus the quantity on hand (OH).
The difference is that in a periodic review system, the time between orders is constant (hourly, daily, weekly, monthly, etc.) and the order quantity varies. A min-max system varies both the time between orders and the order quantity.
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