If a commuter backs her car out of her garage with a constant acceleration of 1.9 m/s^2 and her initial motion is in the positive direction, we can use kinematic equations to calculate the position, velocity, and time of her car.
The first equation we can use is the position equation:
x = x0 + v0 * t + 0.5 * a * t^2
where x is the final position, x0 is the initial position (which is 0 in this case since she is backing out of the garage), v0 is the initial velocity (which is 0 m/s since she is starting from rest), t is the time, and a is the acceleration (1.9 m/s^2).
The next equation we can use is the velocity equation:
v = v0 + a * t
where v is the final velocity.
To solve for t, we can use either equation and substitute the known values. For example, using the velocity equation:
v = v0 + a * t
t = (v - v0) / a
t = (v - 0) / 1.9
Once we have t, we can use it in the position equation to solve for x:
x = x0 + v0 * t + 0.5 * a * t^2
x = 0 + 0 * t + 0.5 * 1.9 * t^2
x = 0.5 * 1.9 * t^2
The above equation can thus be used to calculate the car's position as a function of time. The velocity and position of the car at any given time can be calculated by plugging the value of t into the velocity and position equations, respectively.
To Learn More About velocity Click
https://brainly.com/question/18084516
#SPJ4
which one of the following statements is true concerning the strength of the electric field between two oppositely charged parallel plates? group of answer choices it is a maximum near the negatively charged plate. it is zero midway between the plates. it is a maximum midway between the plates. it is a maximum near the positively charged plate. it is constant between the plates except near the edges.
The electric field is constant between the plates except near the edges.
Electric field can be considered as an electric property associated with each point in the space where a charge is present in any form. An electric field is also described as the electric force per unit charge.Electric fields are usually caused by varying magnetic fields or electric charges. Electric field strength is measured in the SI unit volt per meter (V/m).The direction of the field is taken as the direction of the force which is exerted on the positive charge. The electric field is radially outwards from positive charge and radially in towards negative point charge.The electric field is generated by the electric charge or by time-varying magnetic fields. In the case of atomic scale, the electric field is responsible for the attractive forces between the atomic nucleus and electrons which hold them together.To know more about electric field visit:
https://brainly.com/question/30490892
#SPJ4
a long thin rod of length l has a linear density λ(x)=ax where x is the distance from the left end of the rod. (a) how far is the center of mass of the rod from the left end of the rod?
The rod's center of mass is measured from the left end of the rod is X=(2/3)l.
As we know that the linear density of a rod is as λ(x)= dM/dx.
So, dM = λ(x)dx
Integrate the above equation with the interval [0, l], and we get:
[tex]M=\int\limits^l_0 {\lambda(x)} \, dx \\M=\int\limits^l_0 {A(x)} \, dx \\M = A(\dfrac{x^2}{2} )\limits^l_0[/tex]
M = Al²/2 .....(1)
The rod's center of mass is measured from the left end of the rod expressed as follows:
[tex]X=\frac{1}{M} \int\limits^l_0 {x \lambda(x)} \, dx\\X = \frac{1}{M} \int\limits^l_0 {x (Ax)} \, dx\\X=\frac{1}{M}A(\frac{x^3}{3} )_0^l[/tex]
X = (1/M)Al³/3
Substitute the value of M = Al²/2 in the above equation,
X = [1/(Al²/2)]Al³/3
X = (2/3)l
Therefore, the rod's center of mass is measured from the left end of the rod is X=(2/3)l.
Learn more about the center of mass here:
https://brainly.com/question/16977674
#SPJ12
for a spacecraft going directly from the earth to the moon, beyond what point will lunar gravity begin to dominate? that is, where will the lunar gravitational force be equal in magnitude to the earth's gravitational force?
The point where the lunar gravitational force becomes equal in magnitude to the Earth's gravitational force is called the "Lagrange point," and it is located approximately 1.5 million kilometers from the Moon in the direction of Earth.
At this point, the gravitational forces of the Earth and the Moon balance each other out, and a spacecraft can remain in a stable position without using any fuel. This makes the Lagrange point an ideal location for a spacecraft to rest or make observations, as it requires minimal effort to maintain position.
It is important to note that beyond this point, the Moon's gravitational force begins to dominate, and the spacecraft would be pulled towards the Moon. However, by using the right combination of velocity and trajectory, a spacecraft can be sent directly from the Earth to the Moon and land on the lunar surface.
You can learn more about spacecraft at
https://brainly.com/question/24571549
#SPJ4
8. A statistician tells a coach that his team has a 32% chance of making it to the World Series. Which of these terms best describes their probability of making
it?
O A. Certain
OB.
Unlikely
O C. Likely
OD. Impossible
The term best describes their probability of making it Unlikely.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, A statistician tells a coach that his team has a 32% chance of making it to the World Series.
Since,
Impossible means there's no chance that an event will happen. It will never happen. also denotes 0% probability.Unlikely means there's a small chance that an event will happen. also denotes 0 - 50% probability.Likely means there's a big chance that an event will happen. also denotes 50 - 100% probability.Certain means an event is going to happen, for sure. It will always happen. also denotes 100% probability.Thus in our case,
The term best describes their probability of making it Unlikely.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ1
A mass m moves in a plane under a force F = -F0rn where n and F0 are positive constants, and r the distance from the origin. Choose U=0 at r=0, and write the Lagrangian and the Euler-Lagrange equation of motion. What quantities are conserved? What is the effective potential energy of the system?
The Lagrangian of the system can be written as L = T - U, where T is the kinetic energy of the mass and U is the potential energy. The kinetic energy T is given by [tex]T = \frac{1}{2}mv^2[/tex]
where v is the velocity of the mass. The potential energy U is given by
[tex]U = -F_0r^n[/tex]
The Euler-Lagrange equation of motion is given by d/dt (dL/dq) = dL/dq, where q is a generalized coordinate. In this case, q = r, so the equation of motion becomes:
[tex]\frac{d}{dt} \left(\frac{dL}{dr}\right) = \frac{dL}{dr} = \left(\frac{d}{dt}\right) \left(mv\right) = F = -F_0 r^n[/tex]
Conserved quantities in this system are the total energy E = T + U and the radial component of angular momentum, L = rp, where p is the radial momentum.
The effective potential energy of the system is given by
[tex]U_e_f_f = U + L^2/(2mr^2)[/tex]
The effective potential energy helps to understand the motion of the mass by including the effects of both the potential energy and angular momentum. It acts as an effective potential barrier, and the mass will move towards the origin if its total energy E is less than the minimum of the effective potential energy [tex]U_e_f_f[/tex].
Find more about Euler-Lagrange equation
brainly.com/question/15859582
#SPJ4
A pendulum has its greatest velocity at the bottom of its swing. At that point, its speed is contant (it is neither accelerating nor decelerating). Draw a diagram to show why there is no acceleration at that point. Explain in terms of the pendulum's energy and the forces acting on it.
A basic pendulum consists of a large object suspended from a fixed support by a string.
What is Pendulum?It usually hangs vertically when it is in equilibrium. The pendulum bob is the loving name for the large object. The bob starts vibrating back and forth about its fixed equilibrium point when it is pulled out of equilibrium and subsequently released.
The motion is periodic because it is regular and keeps repeating. In an earlier section of this lesson, we discussed pendulum motion in an effort to better grasp how vibrating things work.
We revisited the topic of the oscillation of a pendulum while examining the mathematical characteristics of periodic motion.
Therefore, A basic pendulum consists of a large object suspended from a fixed support by a string.
To learn more about Pendulum, refer to the link:
https://brainly.com/question/14759840
#SPJ1
Three Identical Metallic Conducting Spheres Carry The Following Charges: Q1 = +7.8 ΜC, Q2 = −1.4 ΜC, And Q3 = −4.0 ΜC. The Spheres That Carry The Charges?
Charge on third sphere is 5.1MC after making a contact with the other two metallic conducting spheres.
Specifically, in the event that a metal sphere is charged, since charge can stream unreservedly through a metal, the self-shock of charges will bring about all the charge living on the outer layer of the sphere, which then, at that point, acts as an empty circular accuse dispersion of zero electric field inside.
From the given data, Q1 and Q2 are brought into contact as they are both conductors, as such there will be evenly distribution of charges.
Firstly,charge on each sphere(Q) = Q1 + Q2 / 2
= +7.8 MC + (- 1.4 MC) / 2
=>+7.8 MC + (-0.7)MC = 7.1MC
Now, one of those two spheres is brought into contact with the third sphere ; Q is brought into contact with Q4 = Q + Q3 / 2
= 7.1MC - 4 MC /2
=7.1MC -2MC
= 5.1 MC
Hence,5.1MC is the final charge on the third sphere.
To know more about charge,visit here:
https://brainly.com/question/27134390
#SPJ4
(Complete question) is:
Three identical metallic conducting spheres carry the following charges: Q1 = +7.8 MC, Q2 = −1.4 MC, and Q3 = −4,0 MC. The spheres that carry the charges Q1 and Q2 are brought into contact. Then they are separated. After that, one of those two spheres is brought into contact with the third sphere that carries the charge Q3. What is the final charge on the third sphere?
Please help me by 7! Thank you so much!!
The technique in the above image is a form of asexual reproduction (option A).
What is asexual reproduction?Reproduction is the act of making copies of new individuals biologically.
Asexual reproduction is a type of reproduction which a new offspring is produced by a single parent. The new individuals produced are genetically and physically identical to each other.
Asexual reproduction is observed in both multicellular and unicellular organisms. According to the image attached above, a cutting of a parent plant is used to produce a new organism, hence, is a form of asexual reproduction.
Learn more about asexual reproduction at: https://brainly.com/question/4100787
#SPJ1
Acid rain is precipitation that has become acidic over time. It is caused by pollution from human activities. Acid rain is harmful to aquatic environments and forests. Which of these could be used to determine the amount of acid rain that might occur in the hydrologic cycle of an area?.
Answer:
A device that measures the amount of chemicals released into the air by a factory.
for f = 52 lb, compute the combined moment of the two forces about (a) point o, (b) point c, (c) point d. the moments are positive if counterclockwise, negative if clockwise.
The combined moment of the two forces about ;Moment about point O = 0
,Moment about point C = 52 lb · 8 ft = 416 lb · ft,Moment about point D = 52 lb · 4 ft = 208 lb · ft.
What is the forces ?Force is an influence that causes an object to move, stop, or change its direction. It can be a push or pull, and can result from interaction with another object, person, or object of nature. Force can also be caused by non-contact interactions such as electric fields, magnetic fields, and gravitational forces. Force can be measured in Newtons, which is the amount of force required to accelerate a one-kilogram mass by one meter per second squared.
To learn more about forces
https://brainly.com/question/12970081
#SPJ4
A loudspeaker on a tall pole broadcasts sound waves equally in all directions. What is the speaker's power output if the sound intensity level is 108 dB at a distance of 17m?
So the speaker's power output is approximately 2773.99 watts.
The power output of a speaker can be calculated from the sound intensity level and distance using the equation:
P = 10^(I/10) / (4 * pi * d^2)
where P is the power output in watts, I is the sound intensity level in dB, and d is the distance in meters. Substituting the given values, we get:
P = 10^(108/10) / (4 * pi * 17^2)
P = 10^10.8 / (4 * pi * 289)
P = 3162277.7 / (4 * pi * 289)
P = 3162277.7 / 1140
P = 2773.99 W
A motor's output power is calculated by multiplying its torque output by the angular velocity of its output shaft. The power lost by an electrical component in a circuit is also a function of the voltage across the component and the current that flows through it.
For such more question on output power
https://brainly.com/question/20038729
#SPJ4
the mass of a proton is 1.00728 amu and that of a neutron is 1.00867 amu. what is the mass defect of a nickel-60 nucleus?
Nickel-60 is made of 28 protons and 32 neutrons.
The mass defect = [tex]9.14 x 10^-25 grams.[/tex]
What is mass ?The mass of a body is a natural property. It was widely believed, prior to the discovery of the atom and particle physics, to be connected to the volume of matter in a physical body. It was found that different atoms and elementary particles, although theoretically having the same amount of matter, have different masses.
Different but physically equivalent conceptual definitions of mass are used in modern physics. Experimental definitions state that a body's mass is a measure of its inertia, or resistance to acceleration (change in velocity), when a net force is applied. An object's mass also affects the gravitational pull it exerts on other bodies.
There are 28 protons and 32 neutrons in nickel-60.
28 x 1.00728 = 28.20384 amu
32 x 1.00867 = 32.27744 amu
adding above = 60.48128 amu
subtract Ni = -59.9308 amu
mass defect = 0.55048 amu
1 amu =[tex]1.66053886 × 10^-24 grams[/tex]
So the mass defect = [tex]9.14 x 10^-25 grams[/tex]
To learn more about nucleus follow the given link: https://brainly.com/question/141626
#SPJ4
What gravitational force does the moon produce on the Earth if their centers are 3.88x108 m apart? The moon has a mass of 7.34x1022 kg and the earth has a mass of 5.97x1024 kg.
Explanation:
The gravitational force between two masses, m1 and m2, separated by a distance, r, can be calculated using the formula:
F = G * (m1 * m2) / r^2
where
F is the gravitational force,
G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2),
m1 is the mass of the first object,
m2 is the mass of the second object,
r is the distance between the centers of the two objects.
Plugging in the values:
F = G * (7.34 x 10^22 kg * 5.97 x 10^24 kg) / (3.88 x 10^8 m)^2
= (6.67 x 10^-11 Nm^2/kg^2) * (4.36 x 10^47 kg^2) / (15.0244 x 10^16 m^2)
= 2.80 x 10^22 N
So, the moon produces a gravitational force of 2.80 x 10^22 N on the Earth when their centers are 3.88 x 10^8 meters apart.
what will happen if high temperature gas enters compressor
If high temperature gas enters compressor, than although the compressor's capacity declines with increasing superheat, its current consumption reduces because less vapour is drawn in during the suction stroke.
A compressor is a mechanical device that lowers a gas's volume while raising its pressure. An air compressor is one distinct case of gas compressor. Two very different pumps and compressors can convey a fluid through a pipe while increasing the fluid's pressure.
The molecules in a hot gas move more quickly than those in a cold gas; while the mass of the gas doesn't change, the kinetic energy does, which raises the temperature.
To learn more about compressor here
brainly.com/question/9131351
#SPJ4
2 The man who set up the first psychology laboratory was answer : Wilhelm Wundt and John Watson and Abraham Maslow and Edward Tichener ?
The man who set up the first psychology laboratory was Wilhelm Wundt
What is a Psychology Laboratory?The psychology laboratories are specially designed spaces where psychology students can gather data from human subjects using the same tools as licensed psychologists.
It can be noted that in 1879, Wundt founded the first psychological laboratory of the world in Leipzig, Germany, where he mainly studied sensations and feelings by employing experimental methods.
Read more about the laboratory here:
https://brainly.com/question/27748008
#SPJ1
starting at room temperature (25℃), approximately what temperature change is needed for diffusivity of a gas inside another gas (assuming gases are dilute and ideal) to go up by a factor of 10?
The diffusivity of a gas in another gas is a measure of the rate at which the two gases mix. At room temperature (25℃), the diffusivity of a gas in another gas can be increased by a factor of 10 by raising the temperature.
The diffusivity of a gas in another gas is proportional to the square root of the temperature. This relationship is known as Graham's law of effusion. Graham's law states that the rate of effusion of a gas is inversely proportional to the square root of its molecular weight. This can be extrapolated to diffusivity by assuming that the molecular weight of the two gases is similar, and that the effusion rate is proportional to the diffusivity.
Therefore, to increase the diffusivity of a gas in another gas by a factor of 10, the temperature must be increased by a factor of 10^2 = 100. This would require a temperature increase of 100 * 25℃ = 2500℃.
It is important to note that this calculation assumes that the gases are dilute and ideal, meaning that they obey the ideal gas law and do not interact with each other. In real-world situations, the diffusivity of a gas in another gas can be affected by factors such as pressure, molecular weight, and intermolecular interactions.
Here you can learn more about the diffusivity of a gas
https://brainly.com/question/23804077#
#SPJ11
An ATV professional can race around the track in record time. If the pro raced down 19
meters of track in 30 seconds, what speed was he going? Please help
The ATV professional was going at a speed of approximately 2.3 km/h.
To determine the speed of the ATV professional who is racing around the track we can use the distance formula.
Distance = speed × time
Rearranging the equation we get the equation for speed as
Speed = Distance ÷ Time
Given that the ATV professional raced down 19 meters in 30 seconds time, we can calculate his speed as follows
distance = 19 meters
time = 30 seconds
Speed = 19 meters ÷ 30 seconds
Which is equal to 0.633 meters/second
This speed is expressed in meters per second (m/s). To convert this to kilometers per hour (km/h), you can multiply by 3.6 hence the final result can be formulated as
0.633 m/s x 3.6 = 2.3 km/h
Learn more about speed:
https://brainly.com/question/28224010
#SPJ4
a bright and tightly focused laser point emits 1.2 mw of light power into a beam that is 0.90 mm in diameter. what is the intensity of the laser beam?
The required intensity of laser beam when light power and diameter are given is calculated to be 1.875 × 10³ w/m².
Power of light is given as 1.2 mw = 1.2 × 10⁻³ w
Diameter of the beam is given as 0.90 mm = 0.9 × 10⁻³ m
So, area = (π d²)/4 = π (0.9 × 10⁻³)²/4 = 0.64 × 10⁻⁶ m²
Now let us calculate the intensity of the beam, it is given by the formula, I = P/A
where, P is power
A is area
Putting values in the above equation, we have,
I = P/A = (1.2 × 10⁻³)/(0.64 × 10⁻⁶) = 1.875 × 10³ w/m²
To know more about intensity:
https://brainly.com/question/13088128
#SPJ4
you are given a thin rod of length 1.6 m and mass 2.2 kg, a small lead weight of 0.25 kg, and a not-so-small lead weight of 1.0 kg. the rod has three holes, one in each end and one through the middle, which may either hold a pivot point or one of the lead weights. how do you arrange these objects so that the resulting system has the maximum possible moment of inertia?
The moment of inertia of a rod with respect to an axis perpendicular to its length and passing through its end can be calculated as follows:
I = (1/12) * mL^2,
where m is the mass of the rod and L is its length.
The moment of inertia of a point mass at a distance r from the axis of rotation can be calculated as follows:
I = mr^2.
In this case, the maximum moment of inertia occurs when the two larger weights are placed at the ends of the rod and the pivot point is placed at the middle. This way, both weights are located as far away from the axis of rotation as possible and thus contribute the maximum amount to the moment of inertia.
The moment of inertia in this case can be calculated as:
I = (1/12) * mL^2 + m_1 * (L/2)^2 + m_2 * (L/2)^2
= (1/12) * 2.2 * 1.6^2 + 0.25 * (1.6/2)^2 + 1.0 * (1.6/2)^2
= 0.53 kg m^2.
This is the maximum possible moment of inertia for this system.
Learn more about the moment of inertia here: https://brainly.com/question/29353886
#SPJ4
place one of the positive charges in the center of the screen. notice the electric field? move the charge around and note what the field does.
Placing a positive charge in the center of a screen will produce an electric field, which can be observed as lines of force that radiate away from the charge. Moving the charge around will cause the electric field to change direction and magnitude.
An electric field is a field of force that exists around a charged object and affects other charged objects within the field. The electric field can be visualized as lines of force that radiate away from the charge, and the direction of the lines of force indicates the direction of the force that the electric field will exert on another charged object.
When a positive charge is placed in the center of a screen, the electric field will radiate away from the charge in all directions. The strength of the electric field will be greatest close to the charge and will decrease as you move further away from the charge. You can observe the electric field by drawing the lines of force, or by using a simulation to visualize the electric field.
To learn more about electric field, visit:
https://brainly.com/question/15800304#
#SPJ11
what is the maximum dc current that can be drawn from an i/o pin on a kl46z processor?
The KL46Z processor's unique datasheet and specs will determine the maximum DC current that can be pulled from an I/O pin.
The maximum DC current that may be pulled from an I/O pin on a KL46Z CPU varies based on the individual device's specs, which are shown in the datasheet for the processor. The maximum DC current that can be pulled from an I/O pin is technical information on the electrical properties and specifications of the processor included in the KL46Z datasheet. The maximum DC current is affected by a number of variables, including the power supply voltage, the processor's internal resistance, and the amount of power used by other parts. It's critical to read the datasheet in its entirety .
Learn more about current here:
https://brainly.com/question/13076734
#SPJ4
How high a hill can a car coast up (engine disengaged) if the work done by friction is negligible and its initial speed is 94 km/h?
The required height a car can coast up if the work done by friction is negligible and its initial speed is specified is calculated to be 33.90 m.
Initial speed of the car is given as 94 km/h.
We know that, 1 km/h = 0.277 m/s
So, u = 94 km/h = 94(0.277) = 26.038 m/s
Let the height gained by the car be h.
The final speed of the car will be zero at the height h.
v² = u²- 2 g h
So, v = 0 m/s
g = 10 m/s²
0² = 26.04²- 2 × 10 × h
20 h = 678.08
h = 33.90 m
To know more about speed:
https://brainly.com/question/13771760
#SPJ4
what orientation of the dipole has the greatest electric potential energy?
When they are anti-parallel to one another, the dipole has the highest electric potential energy.
Think about a dipole with charges q1 = +q and q2 = -q that is set up in the same uniform electric field as in the previous figure. There is a gap between the charges, and the electric field's strength is E.
As shown in the figure, the charges' respective forces are given as -qE and +qE.
Knowing that a dipole experiences a torque equal to, which can be expressed as = p*E, when it is placed in a uniform electric field rather than a force,
Taking into account that the potential energy is located at the initial angle
To know more about dipole visit;
brainly.com/question/13612849
#SPJ4
Awanita is placing items on a shelf that is 200 cm above the ground. She exerts a force of 20 N to lift a box from the floor to the shelf. She does this in 5 s.
Awanita's power output is 8watts
What is Power Output?
When expressed as an hourly rate of electric energy delivery, power output refers to the average rate of electric energy supply during one metering interval.
To find the power output:
First we find workdone= Force × distance
Given: F=20N , d= 200cm converting to meter: (200/100)m=2m
W= 20×2=40Joules
Power,P= workdone/ time
Given: time=5seconds
P= 40/5= 8 watts
Read more about power (watts) here:
https://brainly.com/question/25781540
#SPJ1
nasa's ames research center in mountain view, california, houses a 20g centrifuge used to conduct research and training to solve real world problems related to the effects of acceleration on systems. it consists of a horizontal rail system with a 58-foot diameter mounted on a central axis, as shown in the figure below. an astronaut is using the centrifuge for training on high accelerations during spaceflight. the astronaut is seated 29.0 ft from the axis of rotation. at what rotation rate, in revolutions per second, will the astronaut experience a centripetal acceleration of 15.9g?
Rotating objects are subject to centripetal and centrifugal forces. An object is kept moving in a circle by the centripetal force, which is always directed toward the center of the circle.
What is Centripetal force?As an illustration, the centripetal force of the sun's gravitational field maintains the Earth rotating around it. The centrifugal force, meanwhile, is an apparent outward force acting on a rotating object.
The sensation you get while riding a merry-go-round that makes you want to fly outwards is an illustration of centrifugal force.
Centrifugal force is felt by passengers when they turn a corner in an automobile or when an aircraft banks into a turn. When kids ride on a merry-go-round or during a washing machine spin cycle, it happens.
Therefore, Rotating objects are subject to centripetal and centrifugal forces. An object is kept moving in a circle by the centripetal force, which is always directed toward the center of the circle.
To learn more about Centrifugal force, refer to the link:
https://brainly.com/question/13259103
#SPJ1
use any test to determine whether the series is absolutely convergent, conditionally convergent, or divergent. [infinity] (−1)n ln(9n) n = 2 absolutely convergent conditionally convergent divergent
The test to determine the convergence or divergence of a series is the Leibniz test for alternating series. The Leibniz test states that if the series has alternating signs.
and the terms decrease in absolute value, then the series converges. If the terms do not decrease in absolute value, the series diverges. In the series [infinity] (−1)n ln(9n) n = 2, the terms have alternating signs and the function ln(9n) increases as n increases.The test to determine the convergence or divergence of a series is the Leibniz test for alternating series. The Leibniz test states that if the series has alternating signs. This means that the terms do not decrease in absolute value, so the series diverges. Therefore, the series [infinity] (−1)n ln(9n) n = 2 is divergent.
learn more about divergent here:
https://brainly.com/question/13701343
#SPJ4
Luisa uses a nutcracker to crack walnuts. She has to squeeze the handles 12 centimeters to crack a walnut. The part of the arms holding the walnut only move 0. 3 centimeters. If luisa applies 21 newtons of force to crack the walnut, how much force would she need without the nutcracker?.
Without the nutcracker, Luisa would have to use significantly more force to crack the walnut. Because the nutcracker acts as a lever, the force applied to the handles is multiplied by the force applied to the walnut.
The mechanical advantage is 11.7 cm / 0.3 cm = 39 because the lever arm length is 12 cm - 0.3 cm = 11.7 cm.
This means that the force on the walnut is 39 times the force on the handles, or 21 N x 39 = 819 N. This is a much greater force than the 21 N applied to the handles with the nutcracker, implying that Luisa would have to work much harder to crack the walnut without it.
To Learn More About force click
https://brainly.com/question/26115859
#SPJ4
A car moves along a straight line whose equation of motion is given by s = 12t + 3t^2 − 2t^3, where s is in meters and t in seconds. The velocity of car at start will be
a. 7m/s
b. 9m/s
c. 12 m/s
d. 16m/s
A car moves along a straight line . The velocity of car at start will be 12m/s.
Option C is correct.
Calculating the problem:s = 12t + 3t² - 2t³
[tex]\frac{ds}{dt}[/tex] = 12 + 6t - 6t
so t = 0 then
[tex]\frac{ds}{dt}[/tex] = 12 m/s
What does velocity mean?
A vector representation of the time-dependent displacement experienced by an object or particle is velocity. The meter per second (m/s) is the standard unit of velocity magnitude, which is also known as speed. Alternately, the magnitude of a velocity can be expressed in centimeters per second (cm/s).
Why is velocity a unit of the vector?Because velocity has magnitude as well as direction, it is a vector quantity. Speed, on the other hand, is a scalar quantity because it only has a magnitude and no direction.
What kinds of speeds exist?Uniform velocity, variable velocity, average velocity, and instantaneous velocity are the various velocities
Learn more about velocity:
brainly.com/question/24445340
#SPJ4
The speed of sound in a particular fluid is 1480 m/s. What is the wavelength of sound waves of frequency 23 kHz that travel through the fluid?
6. 4 cm
5. 5 cm
2. 1 m
3. 2 cm
The wavelength of sound waves of frequency 23 kHz that travel through the fluid is 0.064 metres.
V = 1480 m/s
f = 23 kHz
We know the relation
V = f λ
V= velocity in a particular medium
f = frequency
λ = wavelength of sound wave
λ= [tex]\frac{1480}{23000}[/tex]
λ = 0.064 metre
To learn more about Wavelength
brainly.com/question/17310611
#SPJ4
A car travels on the entrance ramp to a freeway as it accelerates from 30 mph to the freeway speed of 70 mph for 4. 0 s. Suppose that the car moves with the constant acceleration.
Assuming that the car moves with a constant acceleration, the average acceleration over the 4 second period can be calculated as follows:
Average acceleration = (70 mph - 30 mph) / (4 s) = 15 mph / s
This means that the car accelerates from 30 mph to 70 mph in 4 seconds, with an average acceleration of 15 mph per second.
Furthermore, the acceleration can be used to calculate the velocity of the car at any given point in the 4 second period. The equation for this is:
Velocity = Initial Velocity + Acceleration * Time
Therefore, the velocity of the car at 1 second is 30 mph + 15 mph/s * 1s = 45 mph, and the velocity of the car at 2 seconds is 30 mph + 15 mph/s * 2s = 60 mph. This can be extended for the entire 4 second period.
Learn more about the velocity of the car:
https://brainly.com/question/25749514
#SPJ4