The speed 10.3 m/s is impact of the velocity after the collision.
How to calculate the speed of velocity?Conservation of energy and momentum can be used to solve this problem.
First, we can calculate the gravitational potential energy of block A at the top of the ramp. This is converted into kinetic energy at the bottom of the lamp.
mgh = (2.0 kg)(9.81 m/s^2)(3.6 m) sin(30 degrees) = 105.6 J
Then, using energy conservation, he can find the final kinetic energy of the two blocks after the collision. All the kinetic energy goes back to block A because block B is at rest before the collision.
105.6 J = (1/2)(2.0kg)v^2 + (1/2)(3.0kg)(0m/s)^2
where v is the velocity of block A after the collision. Solving for v gives:
v = square (211.2/2) = 10.3 m/s
Therefore, the velocity after impact is 10.3 m/s.
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why does a blue star and red star able to have the same luminosity??
If a reddish and a bluish star have the same luminosity, then the reddish star must be larger than the bluish star. This is again due to the Stefan-Boltzmann law; since the cooler, red star must have more surface area than a hot blue star to produce the same luminosity.
in astronaut simulation training, a 5.00 m long horizontal arm spins around like a centrifuge. what velocity would be needed to have the trainee experience 5 g's of acceleration?
The velocity needed to have the trainee experience 5 g's of acceleration is approximately 15.74 m/s.
What is the acceleration ?
Acceleration is the rate of change of velocity of an object over time. The SI unit of acceleration is meters per second squared (m/s2). Acceleration can be positive, negative, or zero. Positive acceleration means the object is speeding up, negative acceleration indicates the object is slowing down, and zero acceleration indicates the object is not changing speed or direction.
The acceleration experienced by an object moving in uniform circular motion is given by:
[tex]\mathbf{a = v^2 / r}[/tex]
where a is the acceleration, v is the velocity, and r is the radius of the circular path.
In this case, we want the trainee to experience an acceleration of 5 g's, which is 5 times the acceleration due to gravity
(g) = 5 × 9.81 m/s²
= 49.05 m/s²
The radius of the circular path is half the length of the horizontal arm, or
r = 5.00m/2
= 2.50 m.
Substituting these values into the equation for acceleration, we get:
49.05 m/s² = v² / 2.50 m
Solving for v, we get:
[tex]\mathrm{v = \sqrt{49.05 m/s^2 \times 2.50 m} }[/tex]
v = 15.74 m/s
Therefore, the velocity needed to have the trainee experience 5 g's of acceleration is approximately 15.74 m/s.
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how fast must a plane fly along the earth's equator so that the sun stands still relative to the passengers? the earth's radius is 6400 km k m . part a give your answer in km/h k m / h .
The earth's radius is 6400 km. The plane must fly at a speed of approximately 464.8 km/h along the earth's equator for the sun to appear stationary to the passengers.
The speed of the plane required to make the sun appear stationary to the passengers is known as the Synchronous Orbital Speed. It can be calculated using the following formula:
V = (2 . pi . R) / T
where,
V = the orbital speed
pi = approximately equal to 3.14
R = the radius of the earth (6400 km)
T = the time it takes for the earth to complete one rotation around its axis, which is 24 hours or 86,400 seconds.
Substituting the values in the formula, we get:
V = (2 . pi . 6400 km) / 86,400 s
V = (2 . pi . 6400 km) / 86,400 s . 3600 s/h
V = (2 . pi . 6400 km) / 24 h
V = (2 . pi . 6400 km) / 24 h = 464.8 km/h
So, the plane must fly at a speed of approximately 464.8 km/h along the earth's equator for the sun to appear stationary to the passengers.
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If the radius of earth 6400 km, the plane must fly along the earth's equator so that the sun stands still relative to the passengers with velocity:
A. 1675.51 km/h
B. 1041.11 mph
C. The aircraft must fly from east to west.
The formula used to explain the relationship between speed/ velocity, distance, and time is speed distance time.
That is speed = distance / time. Alternatively, you can calculate the time by dividing the distance traveled by the speed.
The circumference of the earth = 2[tex]\pi[/tex]r
= 2 (3.14) (6400)
= 12800[tex]\pi[/tex]km
Hence, the speed of the plane:
Speed = distance / time
= 12800[tex]\pi[/tex]km / 24 hr
= 1675.51 km/h
Convert to mph:
= 1041.11 mph
C. The plane must fly from east to west.
The question is incomplete, it should be:
How fast must a plane fly along the earth's equator so that the sun stands still relative to the passengers? Give your answer in both km/h and mph. The radius of the earth is 6400 km.
part A km/h
part B mph
Part C In which direction must the plane fly, east to west or west to east?
Express your answer using two significant figures.
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how much work does the electric field do in moving a proton from a point at a potential of to a point at ? express your answer both in joules and electron volts.
The work done by the electric field in moving a proton from a point at 0 V to a point at 100 V is 1.602 × 10⁻¹⁷J or 100 eV.
What moves a charge when an electric field is present?
Charges in an electric field need to work their way around through some form of labour. In order to marginally counteract Q's repulsive force, we apply a force to it. Now let's fix this: The formula W = F·d states that the amount of labour is equal to the product of the force and the distance.
To find the work done by the electric field in moving a proton from one point to another, we can use the formula:
W = qΔV
where W is the work done, q is the charge of the particle (in this case, the charge of a proton, which is 1.602 x 10⁻¹⁹ C),
Assuming that the potential at the initial point is V1 = 0 V, and the potential at the final point is V2 = 100 V, we have:
ΔV = V2 - V1 = 100 V
W = (1.602 x 10⁻¹⁹ C) × (100 V) = 1.602 × 10⁻¹⁷ J
To express this answer in electron volts, we can use the conversion factor:
1 eV = 1.602 x 10⁻¹⁹ J
Dividing the work done by this conversion factor, we get:
[tex]$\mathrm{W = \frac{(1.602 \times 10^{-17} J)}{(1.602 \times 10^{-19 }J/eV)} = 100 eV}[/tex]
Therefore, the work done by the electric field in moving a proton from a point at 0 V to a point at 100 V is 1.602 × 10⁻¹⁷J or 100 eV.
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how do the energies of a flowing fluid and a fluid at rest compare? name the specific forms of energy associated with each case. (3 points)
The other response gave a description of the kinetic energy from flowing liquids. However, the energy or liquid at rest is not empty. the same concept as the potential energy underlying solids. Both can be converted into kinetic energy.
What precisely is kinetic energy?An object's kinetic energy is the power it has as a result of motion. It is described as the effort required to move a mass-based body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration, unless its speed changes.
Who made the discovery of kinetic energy?The idea of kinetic energy was first proposed in 1849 by William Thompson, later known as Lord Kelvin. We now relate the idea of an object's kinetic energy with the quantity of one half of its mass multiplied by its velocity squared.
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Stretch:
A) How many waves are on the diagram
diagram?
B) What is the time period of the wave
C) What is the frequency of the wave
(a) The number of waves on the diagram is 2.
(b) The period of the of the oscillation of the wave is 0.4 second.
(c) The frequency of the wave is 2.5 Hz.
How many waves are on the diagram?
The number of waves on the diagram is determined by calculating the number of cycles.
number of waves = 2
The period of the of the oscillation of the wave or the time taken to make a complete cycle is calculated as;
T = 0.4 seconds
The frequency of the wave is the reciprocal of the period of the wave and it is calculated as follows;
f = 1/T
f = 1 / 0.4
f = 2.5 H
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Which of the following is true for an open system?
I Matter is able to freely enter or exit the system.
II Heat is able to freely enter or exit the system.
III Work is able to freely enter or exit the system.
Group of answer choices
I, II, or III
II only
I only
None of the above
In an open system, Matter, heat and work are able to freely enter or exit the system. Hence, option (A) is correct.
What is open system?A system that interacts with the outside world is an open system. Depending on the field that defines the term, these interactions can involve the transfer of information, energy, or materials into or out of the system border.
An isolated system, which does not exchange energy, matter, or information with its surroundings, is contrasted with an open system. A flow system is another name for an open system. Hence, option (A) is correct.
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A swimmer swimming 2.30 m/s jumps out horizontally from the starting blocks and reaches the water below 1.50s later. How far from the base of the starting block does the swimmer land in the water?
Answer:
Explanation:
We know that distance can be calculated using the formula:
d = v0 * t + 0.5 * g * t^2
where v0= intial velocity
t=fall time
g= free fall acceleration
Now as per the question:
initial velocity v0 = 2.30 m/s
time t = 1.50 s
Free fall acceleration g = 9.8 m/s^2
d= v0 * t + 0.5 * g * t^2
distance = 2.30 * 1.50 + 0.5 * 9.8 * 1.50^2
distance = 3.45 + 14.7
d = 18.15 m
Therefore, the swimmer lands 18.15 meters from the base of the starting block.
How to do physcis?
Please answer correctly
Physics is a challenging field that requires perseverance and a strong work ethic, but it can also be incredibly rewarding as you learn about the fundamental laws of the universe and how they govern our world.
What is physics?Physics is a natural science that studies matter, energy, and their interactions in the physical universe.
Physics is the study of matter and energy and their interactions in the physical universe. To study physics, you need to:
Develop a strong foundation in mathematics, especially calculus, as physics often involves mathematical modeling and problem-solving.Acquire a basic understanding of the key concepts, including mechanics, thermodynamics, electromagnetism, and quantum mechanics.Read and understand physics textbooks, articles, and research papers.Engage in hands-on experimentation and observation, either in a lab or through computer simulations.Practice solving problems and working through physics examples to deepen your understanding.Collaborate with others, including teachers, mentors, and classmates, to gain new perspectives and learn from others.Learn more about physics here:
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a block of unknown material has a mass of 887.6 g. it measures 7.31 cm x 4.24 cm x 2.15 cm. what is the density of the block? give answer in units of g/cm3 and remember correct significant figures.
The density of the block can be calculated using the equation density = mass / volume.
In this case, the mass is 887.6 g and the volume is 7.31 cm x 4.24 cm x 2.15 cm, which results in a density of 89.9 g/cm3.
The density of a material can be used to identify what it is made of, and can also be used to estimate its strength and other properties. It is an important factor to consider when designing and constructing objects, as the density of a material affects how much it weighs, how much it can support, and how much it will cost. The density of a material varies depending on factors such as temperature, pressure, and composition.
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a block with a mass of 0.3 kg is attached to one end of an ideal spring the other end is attached to a wall. when the block is at 0.24m, its acceleration is -12 m/s2 and its velocity is 4 m/s. find:
1. The spring force constant that attach a block with a mass of 0.3 kg = 15 N/m
2. The amplitude of the motion = 1.85 m
3. The maximum speed of the block during its motion = 6.9 m/s
4. The maximum magnitude acceleration of the block's acceleration during its motion = 92.5 m/s²
The force a spring applies to objects fastened to its ends is proportional to the distance the spring travels from its equilibrium length and is always pointed in the direction of equilibrium. F = -kx. The term "spring constant" refers to the proportional constant k.
The block's weight and the spring's force are equal:
F = -kx
ma = -kx
Hence,
1.
The spring force constant (k) = - (ma) / x
= - (0.3 x (-12) / 0.24
= 15 N/m
The total energy system:
E = [tex]\frac{1}{2}[/tex] (mv² + kx²)
= [tex]\frac{1}{2}[/tex] {(0.3 x 4)² + (15 x 0.24)²}
= 7.2 J
2.
The amplitude of the motion =
E = [tex]\frac{1}{2}[/tex] (mv² + kA²)
A = [tex]\sqrt{E^{2}/k }[/tex]
= [tex]\sqrt{\frac{(7.2)^{2} }{15} }[/tex]
= 1.85 m
3. The maximum speed of the block during its motion
E = [tex]\frac{1}{2}[/tex] mv² + 0
v = [tex]\sqrt{\frac{2E}{m} }[/tex]
= [tex]\sqrt{\frac{2(7.2)}{0.3} }[/tex]
= 6.9 m/s
4. The maximum magnitude acceleration of the block's acceleration during its motion =
ma = kA
a = kA/m
= (15 x 1.85) / 0.3
= 92.5 m/s²
The question is incomplete, it should be:
A block with a mass of 0.3 kg is attached to one end of an ideal spring the other end is attached to a wall. when the block is at 0.24m, its acceleration is -12 m/s2 and its velocity is 4 m/s. find:
1. What is the spring's force constant k?2. What is the amplitude of the motion?3. What is the maximum speed of the block during its motion?4. What is the maximum magnitude of the block's acceleration during its motion?
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A charge of 0. 00005 C and a charge of 0. 00003 C are separated by 1. 8 m What is the force between the two charges?
The required force between the two charges, when the distance between them is specified is calculated to be 416.67 N.
The charge q₁ is given as 0. 00005 C.
The charge q₂ is given as 0. 00003 C.
The separation (r) between the two charges is given as, 1.8 m.
The expression to find out the force between two charges is given as,
F = k q₁ q₂/r²
where,
k is relative permittivity (9 × 10⁹N)
q₁, q₂ are charges
r is separation between charges
Substituting the known values,
F = k q₁ q₂/r² = (9 × 10⁹× 5 × 10⁻⁴ × 3 × 10⁻⁴)/1.8² = 1350/1.8² = 416.67 N
Thus, the required force is calculated to be 416.67 N.
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5. A mixture of fuel and air is enclosed in an engine cylinder fitted with a piston. The gas pressure is maintained at 7.07 × 10^5 Pa as the piston moves slowly inward. If the gas volume decreases by 1.1 × 10^−4 m^3 and the internal energy of the gas increases by 62 J, how much energy is added to or removed from the system as heat?
The energy that is removed from the system as heat is 139.8 J.
What is the internal energy?
Internal energy is the total energy of a thermodynamic system, including the kinetic energy of its constituent particles and their potential energy due to their relative positions and interactions. It is a measure of the total thermal energy of a system and is a function of temperature, pressure, and volume.
We know that the work done can be obtained by the use of the equation;
w = PΔV
Then
w = 7.07 × 10^5 * 1.1 × 10^−4
w = 77.8 J
Then we have that;
E = q + w
-62 J = q + 77.8
q = 77.8 + 62
= 139.8 J
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Similarities and differences between thermionic emission and liquid evaporation
Thermionic emission is the thermally convinced inflow of charge carriers and vaporization is the process in which the liquid state changes into the vapor state.
Thermionic emission is the thermally convinced inflow of charge carriers from a face or over an implicit- energy barrier. This occurs as we know that the thermal energy which is given to the carrier overcomes the work function of the material.
Vaporization is the process in which the liquid state changes into the vapor state. Also when the temperature increases, the kinetic energy of the molecules increases. Due to this increase in kinetic energy, the force of attraction between the molecules reduces, which in turn escape into the surrounding in the form of vapors.
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you are testing a jet back pack on a dummy. you start it rising with an upward acceleration of 3 m/sec/sec. after 9 seconds the jetpack fails (upward acceleration stops, gravity takes over). how fast is the dummy moving when it hits the ground?
The dummy was moving at a velocity of approximately 93 m/s (or 335 km/h) just before hitting the ground.
Find the velocity of the dummy when the jetpack fails,
v = u + at
where v is final velocity, u is initial velocity (which is 0 m/s in this case), a is acceleration (which is 3 m/s^2 in the upward direction), and t is time (which is 9 seconds).
v = 0 + (3 m/s^2)(9 s) = 27 m/s
Distance traveled,
s = (1/2)at^2
s = (1/2)(-9.8 m/s^2)(9 s)^2
s = -441 m (taking upward direction as positive)
Here, we have taken the upward direction as positive and the negative value of s indicates that the dummy fell a total distance of 441 meters after the jetpack failed.
v^2 = 0 + 2(-9.8 m/s^2)(-441 m)
v^2 = 8623.6 m^2/s^2
v = 93 m/s (approx)
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what is the momentum of a 20kg dog running at 12 meters per second
Answer:
Explanation:
Momentum (p) = mass(m) x velocity(v)
v = 12m/sec , m= 20kg
p=20*12 = 240 kg m s−1 or 240 Ns
a human expedition lands on an alien moon. one of the explorers is able to jump a maximum distance of 14.5 m with an initial speed of 3.10 m/s. find the gravitational acceleration on the surface of the alien moon. assume the planet has a negligible atmosphere. (enter the magnitude in m/s2.)
The gravitational acceleration on the surface of the alien moon can be calculated using the equation g = (2Ru2)/(R2 + u2), where R is the maximum jump distance (14.5 m), and u is the initial speed (3.10 m/s). Plugging these values in, we get g = 0.5137 m/s2.
Using this equation, we can calculate the gravitational acceleration on any other alien moon, as long as we know the maximum jump distance and the initial speed. For example, if the maximum jump distance is 18 m and the initial speed is 3.50 m/s, then the gravitational acceleration would be 0.6115 m/s2.
Additionally, if the initial speed is increased, the gravitational acceleration increases as well. This is because the equation takes into account the kinetic energy of the object, which increases as the velocity increases.
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Electrons moving through the circuit in the attached figure will go through the resistor from ?a) from b to a. b) from a to b.
To a from b Electrons through a circuit from of the negative to the positive end, slowing the movement of electrons as they circle the wire.
How can a resistor thwart current flow?A material's ability to oppose the electron flow that passes through it is referred to as resistance. It limits how much electrons may go through the substance. It is measured by ohms () and indicated by the symbol (R). Free electrons begin to accelerate when voltage is introduced across the resistor.
What happens when energy passes through a resistor?resistive energy dissipation A charge loses potential energy (Qu) as it passes through a resistor, where V is just the potential difference across the resistor force .
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wo identical particles of charge 1.6 mc and mass 37 g are fixed in space, separated by 5 m. if one particle is now released, calculate its speed at an infinite distance from the other fixed charge.
The speed of the released particle at an infinite distance from the other fixed charge is 8.07 * 10^3 m/s.
The speed of a particle at an infinite distance from another fixed charge can be calculated using the concept of electrostatic energy.
The initial electrostatic energy of the two particles is given by:
U = k * q1 * q2 / r
where k is Coulomb's constant (8.98 * 10^9 Nm^2/C^2), q1 and q2 are the charges of the particles (1.6 * 10^-6 C), and r is the distance between them (5 m).
The initial potential energy of the released particle is equal to its initial electrostatic energy:
U = (1/2) * m * v^2
where m is the mass of the particle (37 g) and v is its speed.
Solving for v, we have:
v = √(2 * U / m) = √(2 * k * q1 * q2 / (m * r)) = √(2 * 8.98 * 10^9 * 1.6 * 10^-6 * 1.6 * 10^-6 / (37 * 10^-3 * 5)) = 8.07 * 10^3 m/s
Therefore, the speed of the released particle at an infinite distance from the other fixed charge is 8.07 * 10^3 m/s.
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What is the speed of a moon with a period of 20 hours that is orbiting a planet of radius R at a distance 5 R from the planet's center?
A) 26,000/πR m/s
B) πR/36,000 m/s
C) R/3,600π m/s
D) πR/7,200 m/s
E) π^2R/720 m/s
*I know the answer is D, but could someone please show work on how they arrived at that conclusion? Thank you!
Answer:
D) πR/7,200 m/s
Explanation:
Let's call the speed of the moon "v".
We know that the period (T) of the moon is given by: T = 20 hours = 20 hours * 3600 seconds/hour = 72000 seconds
We can relate the speed of the moon to its period and distance using the formula:
v = 2πR/T, where R is the distance of the moon from the center of the planet.
In this case, the distance is 5R, so:
v = 2π(5R)/T
= 2π(5R)/72000 seconds
= (πR)/7,200 seconds
So the speed of the moon is (πR)/7,200 m/s.
Therefore, the answer is D) πR/7,200 m/s.
Calculate the linear expensitivity of length 120m that assumed a new length of 120.0 on when heated through a temperature 100°c
Answer:
0
Explanation:
The linear expansivity of a material is the fractional increase in length for a unit increase in temperature. To calculate linear expansivity for a length of 120m that assumed a new length of 120.0 when heated through a temperature of 100°C, you would use the following formula:
Linear Expansivity = (New Length - Original Length) / (100°C - 0°C)
Therefore, the linear expansivity of the material in this example would be:
Linear Expansivity = (120.0 - 120.0) / (100°C - 0°C)
Linear Expansivity = 0.
Answer:
The linear expansivity of length 120m when heated through a temperature of 100°C can be calculated by using the following equation: ΔL/L × (1 / T) = α, where ΔL is the change in length, L is the original length, T is the temperature and α is the linear expansivity. In this case, ΔL would be 0, as the original and new length are the same. Therefore, the linear expansivity of length 120m when heated through a temperature of 100°C is 0. Here is a Brainly link that can provide you with more information on linear expansivity: https://brainly.com/question/5861312.
g you have a gun that shoots a bullet at a speed 144 m/s. you are standing at a distance of 33 m from a building, and your gun is 5.7 m above the ground. you aim your gun at an angle 33 degrees above the horizontal. how high (from the ground) will the bullet hit the wall of the building? ignore air resistance.
It is not speeding up. It will therefore move 6 meters per second. The speed would have increased by 6 m/s per second if the item had been accelerating and the speed had been in the plane of the speed.
Is anything moving at a steady rate accelerating?an object is moving at a constant speed, can it accelerate Yup Many individuals initially find this counter-intuitive because they overlook the fact that acceleration can still occur even when an object maintains a constant speed.
If constant acceleration, does that mean 1?A motion of an object that does not alter over time is referred to as a constant acceleration. A car's average speed increases if it goes from 20 mph to another 20 mph in a minute.
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the x component of vector is 25.0 m and the y component is 40.0 m. (a) what is the magnitude of ? (b) what is the angle between the direction of and the positive direction of x?
(a) The angle between the direction of and the positive direction of x is 60⁰.
(b) The magnitude of the vector is 47.2 m.
What is the angle between the two vectors?
The angle between the two vectors is calculated by applying the following formula as shown below.
θ = arc tan ( Vy / Vx )
where;
Vx is the horizontal component of the velocityVy is the vertical component of the velocityθ = arc tan ( 40.0 / 25.0 )
θ = arc tan ( 1.6 )
θ = 60⁰
The magnitude of the vector is calculated as;
V = √ ( 25² + 40² )
V = 47.2 m
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which type of door that rotates in a circular frame can be dangerous during a fire situation because it may prevent the movement of hose and equipment into the building?
Revolving doors have three or four leaves (or wings) that are centered on a vertically oriented central pivoting shaft. These are contained in a spherical enclosure having openings on the interior and outside to permit movement when the door rotates within the enclosure.
Revolving doors can be run either manually or mechanically.If something is a "revolving door," it means that people or other items are constantly coming and going rather than remaining in one place: Ten directors came and departed over a twelve-year period, making the department a revolving door for senior executives.
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what's the total spring constant of springs in parallel and in series? show this by deriving the equations
Whenever two massless springs that obey Hooke's Law are joined by a thin, vertical rod, they are linked in parallel. The spring constants for springs and were indeed denoted by 1 and 2 . A steady force F is applied to the rod, keeping it perpendicular to the force's orientation. If the force was reciprocated, the springs may likewise be squeezed.
Such a system of two parallel springs is equal to a single Hookean spring with spring constant k.
What is spring constant?
A nanocantilever's spring constant (stiffness) changes with its characteristic linear size, l, and mass, m. With a result, the vibration's resonance frequency changes as v. This guarantees a quick response because nanomechanical devices are actually very rigid.To know more about spring constant, click the link given below:
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Help please!!!! Why is it especially important to not waste energy from fossil fuels?
They have a limited supply in nature, therefore if they are used excessively, they will become exhausted.
What is the fossile fuel?Today, we recognise that using fossil fuels has a negative impact on the environment. Fossil fuels produce and utilise local pollutants, and their continued use permanently alters the temperature of our entire world.
Wastes from combustion sources are those that result from carbon pollution (i.e., coal, oil, natural gas). Included in this are all ash and particles taken out of the flue gas.
The fossile fuel is limited in nature. So, it should not waste energy from fossil fuels.
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the force between two charges is 10 n. if the distance between the two charges is tripled and both of the charges are tripled, what is the resulting force between the two charges?
Coulomb's Law states that the force exerted between two electric charges is negatively correlated to their square of distance. As a result, if the range is doubled, its force will be nine times weaker.
What Exactly Is a Distance?Distance can be defined as the amount of space an object has covered, regardless of its start or ending position.
Keep in mind that distance between two points and the distance travelled between them are not the same.
How do forces work?A pressure is the modification of an object's state brought on by its surroundings. Forces will cause an object.
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the behavior of a non-linear spring is described by the relationship , where x is the displacement from the equlibrium position and f is the force exerted by the spring. how much potential energy is stored in the spring when it is displaced a distance x from equilibrium?
The potential energy stored in the spring when it is displaced a distance "x" from the equilibrium position is [tex]U = (k/4)x^4.[/tex]
The potential energy stored in a spring can be calculated using the work-energy theorem, which states that the work done on an object is equal to the change in its potential energy. If the spring is displaced a distance "x" from the equilibrium position, the force exerted by the spring is given by the equation[tex]f = kx^3[/tex], where "k" is a constant of proportionality. The work done on the spring as it is displaced a distance "x" is given by the equation [tex]W = ∫f dx = ∫kx^3 dx.[/tex]
To find the potential energy stored in the spring, we can evaluate the definite integral:
U =[tex]∫kx^3 dx = (k/4)x^4 + C,[/tex]
where "C" is a constant of integration. The constant "C" can be determined by specifying the potential energy to be zero when the spring is at its equilibrium position, so that U = 0 when x = 0. This gives us:
[tex]C = -(k/4) * 0^4 = 0[/tex],
So the potential energy stored in the spring when it is displaced a distance "x" from the equilibrium position is:
[tex]U = (k/4)x^4.[/tex]
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a car accelerates at 2 meters/s/s. assuming the car starts from rest, how far will it travel in 10 s?
Total distance is a term that is used to refer to the length of a physical route or journey between two points. The car will travel a total distance of 200 meters in 10 seconds.
What is total distance?It is usually calculated by adding up the individual distances between the starting point and each intermediate point along the route, and then adding the final distance from the last intermediate point to the destination.
Total distance can also be calculated by using a mapping or navigation system, which can provide an accurate measurement of the distance between two points.
This is because when something accelerates at 2 meters/s/s, it means that it will increase its velocity by 2 meters/second every second. Since the car starts from rest, it will have a velocity of 0 meters/second at the start.
Therefore, After 1 second, it will have a velocity of 2 meters/second, after 2 seconds it will have a velocity of 4 meters/second, after 3 seconds it will have a velocity of 6 meters/second, and so on. After 10 seconds, it will have a velocity of 20 meters/second.
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I need help in this
Answer:
D
Explanation:
I believe it is D, which is the resultant of the vector addition of B and E