Question 1

A 2 kg block slides down a frictionless incline from a height of 5 m and compresses a spring with spring constant $$k = 400 \ \mathrm{N/m} at $$the bottom. What is the maximum compression $$\Delta s of $$the spring?

Accepted Answer

$$\Delta s = 0.25 \ \mathrm{m}$$

Question 2

A 0.15 kg baseball is pitched horizontally at 40 m/s and is hit straight back at 60 m/s. What is the magnitude of the impulse delivered to the ball?

Accepted Answer

$$15 \ \mathrm{kg \cdot m/s}$$

Question 3

A car of mass 1000 kg moves in a circle of radius 50 m at a constant speed of 10 m/s. What is the magnitude of the net force acting on the car?

Accepted Answer

$$2000 \ \mathrm{N}$$

Question 4

A 5 kg object is moving at 4 m/s. What is its kinetic energy?

Accepted Answer

$$40 \ \mathrm{J}$$

Question 5

A 2 kg block slides 3 m across a horizontal surface with a coefficient of kinetic friction $$\mu_k = 0.2. $$How much work is done by friction?

Accepted Answer

$$-11.8 \ \mathrm{J}$$

Question 6

A 0.5 kg ball is attached to a string and swung in a horizontal circle of radius 2 m at a speed of 3 m/s. What is the tension in the string?

Accepted Answer

$$3.75 \ \mathrm{N}$$

Question 7

A 3 kg cart moving at 2 m/s collides elastically with a stationary 1 kg cart. What is the velocity of the 1 kg cart after the collision?

Accepted Answer

$$3.0 \ \mathrm{m/s}$$

Question 8

A force $$\vec{F} = (3 \hat{i} + 4 \hat{j}) \ \mathrm{N}$$ acts on a particle that moves from the origin to the point $$(2, 1) \ \mathrm{m}. $$What is the work done by the force?

Accepted Answer

$$11 \ \mathrm{J}$$

Question 9

A 0.2 kg puck slides on ice and is stopped by a constant friction force of 0.1 N over a distance of 4 m. What was the puck's initial speed?

Accepted Answer

$$2.0 \ \mathrm{m/s}$$

Question 10

A 60 kg person runs at 5 m/s and jumps onto a stationary 20 kg sled on frictionless ice. What is their final speed together?

Accepted Answer

$$3.75 \ \mathrm{m/s}$$

Question 11

A 1.5 kg mass is attached to a spring ($$k = 200 \ \mathrm{N/m}) $$and pulled 0.1 m from equilibrium, then released. What is the maximum speed of the mass?

Accepted Answer

$$1.63 \ \mathrm{m/s}$$

Question 12

A 2 kg object moves in a circle of radius 3 m at a constant speed. If the net force toward the center is 8 N, what is the object's speed?

Accepted Answer

$$3.46 \ \mathrm{m/s}$$

Question 13

A 0.5 kg ball is dropped from a height of 10 m. What is its speed just before hitting the ground? (Neglect air resistance.)

Accepted Answer

$$9.9 \ \mathrm{m/s}$$

Question 14

A 1 kg block is pushed by a constant force of 5 N over a distance of 4 m at an angle of $$60^\circ$$ above the horizontal. What is the work done by the force?

Accepted Answer

$$10 \ \mathrm{J}$$

Question 15

A 2 kg mass moving at 3 m/s collides inelastically with a 1 kg mass at rest. What is their final velocity?

Accepted Answer

$$2 \ \mathrm{m/s}$$

Question 16

A 10 kg box is pulled up a 5 m ramp inclined at $$30^\circ to $$the horizontal by a force parallel to the ramp. If $$\mu_k = 0.1$$, what is the total work done by the pulling force?

Accepted Answer

$$343 \ \mathrm{J}$$

Question 17

A 0.3 kg ball moving at 6 m/s strikes a wall and rebounds at 4 m/s in the opposite direction. What is the change in momentum of the ball?

Accepted Answer

$$-1.8 \ \mathrm{kg \cdot m/s}$$

Question 18

A 2 kg block is attached to a spring ($$k = 100 \ \mathrm{N/m}) $$and slides on a frictionless surface. If the block is compressed 0.2 m from equilibrium and released, what is the block's speed as it passes through equilibrium?

Accepted Answer

$$3.16 \ \mathrm{m/s}$$

Question 19

A 0.5 kg object is acted on by a net force that varies with time as $$F(t) = 2t (in N$$, with $$t in $$seconds) from $$t=0 to$$ $$t=3 s. $$What is the change in velocity of the object during this interval?

Accepted Answer

$$6 \ \mathrm{m/s}$$

Question 20

A 1 kg block slides down a frictionless track and collides with a stationary 1 kg block. If the collision is perfectly inelastic, what fraction of the initial kinetic energy is lost?

Accepted Answer

$$0.5$$

Physics Study Guide: Dynamics, Work, Energy, and Momentum (Chapters 8–11)

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