Kinematics
True or False: Displacement is a vector quantity that refers to the change in position of an object.
True
Finish the sentence: For every action (force) in nature, there is ________________.
an equal and opposite reaction
True or False: Unless the system is deemed open, energy is always conserved.
True
Torque is the rotational analogue of _______.
Force
What is Isaac Newton's universal law of gravitation?
F = (GMm) / r2
A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.
8.10 m/s2
A particle of mass m moves along a straight path with a speed v defined by the function v = bt4 + c, where b and c are constants and t is time. What is the magnitude F of the net force on the particle at time t = t1?
4mbt31
The force exerted by a spring is given by: F = (kx4) / 2. If k is 100 N/m, find the work done by the spring on a mass from x = 0 m to x = 2 m.
320 J
A wheel with rotational inertia I is placed on an axle and is free to rotate without friction. The angular speed ω of the wheel is increased from zero to ωf in a time interval t. What is the average net torque on the wheel during this time interval?
(I ⋅ ωf) / t
Two large objects of equal mass m are separated by a distance r and exert a gravitational pull of magnitude F. If the distance between the two objects is reduced to r/4, what is the new gravitational force acting on each object?
16F
A tennis ball is thrown off a cliff 10 m above the ground with an initial horizontal velocity of 5 m/s. The time between the ball leaving the cliff and hitting the ground is:
√2 seconds
An elevator car weighs 5500 N. If the car accelerates upwards at a rate of 4.0 m/s2, what is the tension in the support cable lifting the car? Use g = 10 m/s2.
7700 N
Two blocks are on a frictionless surface and have the same mass m. Block 2 is initially at rest. Block 1 moves to the left with speed 4v. Block 1 collides inelastically with block 2. Which of the following choices is closest to the final speed of the system of two blocks?
2v
A baseball player swings his bat with his arms fully extended. If his arms are pulled in closer to the body, and he swings again, what is true about the angular momentum and kinetic energy of the player?
Angular momentum remains constant while kinetic energy increases.
Planet β has 2 times the mass of the Earth and ½ of the radius. The acceleration due to gravity at the surface is closest to:
80 m/s2
The velocity as a function of time of a moving particle is given by formula v = vo𝑒-αt, where vo and α are constants. What is the acceleration of the particle as a function of time?
a = -αvo𝑒-αt
A block of mass m is pulled along a horizontal surface at constant speed v by a force Fapp, which acts at an angle of θ with the horizontal. The normal force exerted on the block by the surface is:
mg - Fappsinθ
The potential energy of a spring is given by the following formula: U(x) = (1/3)αx3 – (1/2)βx2, where α and β are positive constants. What is the location(s) of the equilibrium points?
x = 0 and x = β/α
Three objects of the same mass and radius are released at the top of an inclined plane: a disk with moment of inertia (1/2) MR2, a hoop with moment of inertia MR2, and a sphere with moment of inertia (2/5)MR2. How will the speed at the bottom of the incline be different for all three objects as they roll down without slipping?
The sphere will travel faster than the disk and hoop.
A rocket ship is sitting on the surface of a planet with a mass of 1x1027 kg and a radius of 6.67x1012 m. What is the planet’s escape velocity?
100√2 m/s
A projectile is launched from the ground with an initial velocity vo at an angle Ɵ above the horizontal. What is the maximum height of the projectile?
(vo2sinθ2) / 2g
A block slides down (at a constant velocity) an inclined plane that makes an angle Ɵ with the horizontal. Which of the following expressions represents the coefficient of kinetic friction between the block and the inclined surface?
tanƟ
A bullet of mass M1 is fired from a gun that is initially at rest. The combined mass of the gun and bullet is M2. If after the bullet is fired its kinetic energy is KE, what is the kinetic energy of the gun when it recoils?
[M1 / (M2 - M1)]⋅ KE
A rubber-band ball of mass M, radius R, and a moment of inertia equal to (2/5)MR2, rolls up an incline with an initial speed v. The ball reaches a maximum vertical height of:
7v2 / 10g
A satellite orbiting around Jupiter at a distance r from its center has a period of T1. What would the period of an identical satellite be if it orbits at a distance (1/4)r from Jupiter’s center?
T2 = T1/8