Forces
Work Energy Power
Gravitation
Rotation
Calculus Based Questions
100
A 75 kg man standing in an elevator notes that as the elevator rises the scale reads 825N. What is the acceleration of the elevator?
1m/s2
100
A constant horizontal 4.0 N force acts on a 300g cart on a horizontal track as the cart moves through a distance of 43cm. The cart decelerates as a result. What was the work performed on the cart by the force?
-1.72J
100
What is the surface gravity of the moon if Its radius is 1.7 x106 m and its mass is 7.4 x 1022 kg.
1.7m/s2
100
A circular disk of radius R, initally at rest, starts spinning with a constant angular acceleration (alpha), what is the angular speed of the disk after it completes 1 revolution is?
2*squareroot (pi *alpha)
100
A particle moves along the x-axis with a non-constant acceleration described by a(t) = 12t, where a is in meters per second squared and t is in seconds. If the particle starts from rest so that its speed v and position x are zero when t = 0, where is it located when t = 2 seconds?
16m
200
A 0.2 kg mass is hung on a vertical spring of negligible mass. It has a spring constant k=5.6N/m the mass is currently motionless on the spring how much did the spring stretch from its original length?
0.35m
200
A 50kg trolley initially moving at a speed of 15m/s along a rail track takes 20m to stop with the brakes on. What is the approximate coefficient of kinetic friction between the tracks and the wheels of the trolley?
0.57
200
What would be the surface gravity of a planet whose radius is double that of the Earth and whose mass is also double that of the Earth.
4.9 m/s2
200
A ballet dancer is spinning with her arms spread out with an angular speed of w(wumbo). The moment of inertia of the dancer in this state is I1. She slowly pulls her arms inward such that her moment of inertia changes to I2. The angular speed of the ballet dancer in this state is now.
(I1/I2)W
200
An object moving in a straight line has a velocity v in meters per second that varies with time t in seconds according to the following function. v(t) =4+0.5t2 The instantaneous acceleration of the object at t = 2 seconds is?
2m/s2
300
A boy coasts down a hill on a sled reaching a level surface at the bottom with a speed of 7.00m/s. If the coefficient of friction between the sled's runners and the snow is 0.050 and the boy and sled together weigh 60kg how far does the sled travel on the level surface before coming to rest?
~49m
300
A 40 N force accelerates a 20 kg mass through a distance of 16m. If there were no other forces acting on the mass and the mass started at rest, what was the power of the force?
160W
300
Mars has two moons Phobos and Deimos. What is the escape velocity of Deimos if its Mass is 1.4762 x 1015kg, and the radius of Deimos is 6200m
5.5 m/s
300
A basketball player makes the buzzer beating dunk to win the game, and after the dunk they are hanging on the edge of the rim. The far edge of the rim is 0.61m from the backboard, and the player has a mass of 105kg. How much torque is there on the rim when the player hangs on the outside edge of the rim.
630N*m
300
If a particle moves in such a way that its position x is described as a function of time t by x = t(3/2), then its kinetic energy is proportional to?
t
400
A 50kg acrobat is swinging on a rope with a length of 15m from one horizontal platform to another. Both platforms are at the same height. If the maximum tension the rope can support is 1200N what is the maximum velocity the acrobat can reach without breaking the rope?
15m/s
400
A following formula represents the force on the object expressed as a function of displacement. F(x)=6x2-2x-5 where F is in Newtons and x is in meters. The object has 32J of Kinetic Energy when it is at the origin. From there, it is displaced 4m. What is the final Kinetic Energy?
124 J
400
What is the orbital period of Deimos (hours) if it has an orbital radius of 2.35E7m and the mass of Deimos is 1.4762 x 1015kg, and the Mass of Mars is 6.39E23kg.
30 hours
400
A point particle of mass m, initially at rest, starts to move in a circle of radius r with a constant angular acceleration (alpha). After one revolution, what is the angular momentum of the particle around the center of the circle?
2mr2*square root (alpha*pi)
400
A 10 kilogram body is constrained to move along the x-axis. The potential energy U of the body in joules is given as a function of its position x in meters by U(x)=6x2 -4x+3. The force on the particle at x = 3 meters is?
32 N
500
At t=0s a 6000kg jet fighter was traveling along a horizontal runway at 150m/s. At t=5s, the jet was climbing at an angle of 60 degrees at 400m/s. What was the average net force acting on the jet between t=0 and t=5s?
420,000N
500
What is the minimum speed that a box needs in order to complete a loop de loop. The radius of the loop is R and the box is on a frictionless track.
Square root (5gR)
500
d
500
A soccer ball with a radius of 25cm, is kicked with an initial velocity of 15m/s and rolls without slipping across a level horizontal grass field. If the acceleration of the ball is -25.0m/s2. How many rotations does the ball make before coming to rest?
2.9 revolutions
500
A solid thin rod is rotated about its end, what is its moment of inertia?
1/3 ML2
or
1/3MR2