Q: A projectile is launched with initial velocity $$v_0 at an $$angle $$\theta$$ above the horizontal. What is the time of flight?

$$t = \frac{2 v_0$ \sin \theta}{g}$$

Question 1

A car accelerates from rest with a constant acceleration $$a$$ for a time $$t. $$What is the displacement $$x of $$the car after time $$t$$?

Accepted Answer

$$x = v_0$ t + \frac{1}{2} a t^2$

Question 2

A ball is thrown vertically upward with initial velocity $$v_0. $$Neglecting air resistance, what is the maximum height $$h_{max}$$ reached by the ball?

Accepted Answer

$$h_{max} = \frac{v_0$^2}{2g}$$

Question 3

A block slides down a frictionless incline of height $$h. $$What is its speed $$v at $$the bottom?

Accepted Answer

$$v = \sqrt{2gh}$$

Question 4

Which of the following statements about Newton's Third Law is correct?

Accepted Answer

For every action, there is an equal and opposite reaction.

Question 5

A 2 kg object is acted upon by a net force of 10 N. What is its acceleration?

Accepted Answer

$$a = 5\ \mathrm{m/s^2$}$$

Question 6

A spring with spring constant $$k is $$compressed by a distance $$x. $$What is the elastic potential energy stored in the spring?

Accepted Answer

$$E_{elastic} = \frac{1}{2} k x^2$

Question 7

A 5 kg object is dropped from a height of 10 m. What is its kinetic energy just before hitting the ground? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$KE = 490\ \mathrm{J}$$

Question 8

A car moves in a circle of radius $$r at $$constant speed $$v. $$What is the magnitude of its centripetal acceleration?

Accepted Answer

$$a_c = \frac{v^2$}{r}$$

Question 9

A 0.2 kg ball moving at 10 m/s collides elastically with a stationary 0.8 kg ball. What is the velocity of the 0.2 kg ball after the collision?

Accepted Answer

$$v = -8\ \mathrm{m/s}$$

Question 10

Which of the following is true for a completely inelastic collision?

Accepted Answer

The colliding objects stick together after the collision.

Question 11

A force $$F$$ acts on an object over a displacement $$d at an $$angle $$	heta to $$the direction of displacement. What is the work done by the force?

Accepted Answer

$$W = F d \cos 	heta$$

Question 12

A projectile is launched with initial velocity $$v_0 at an $$angle $$	heta$$ above the horizontal. What is the time of flight?

Accepted Answer

$$t = \frac{2 v_0$ \sin 	heta}{g}$$

Question 13

A rotating disk has an angular velocity $$\omega$$ and a radius $$r. $$What is the linear speed $$v of a $$point on the rim?

Accepted Answer

$$v = \omega r$$

Question 14

Which of the following best describes the law of conservation of energy?

Accepted Answer

Energy cannot be created or destroyed, only transformed from one form to another.

Question 15

A person jumps off a diving board. At the highest point of the jump, which of the following is true?

Accepted Answer

Kinetic energy is zero and potential energy is maximum.

Question 16

A block of mass $$m is $$pulled across a rough surface with coefficient of kinetic friction $$\mu_k by a $$force $$F at $$constant speed. What is the magnitude of $$F$$?

Accepted Answer

$$F = \mu_k m g$$

Question 17

A ball of mass $$m_1$$ moving at velocity $$v_1$$ collides elastically with a stationary ball of mass $$m_2. If$$ $$m_1$$ \ll $$m_2$$, what is the velocity of $$m_1$$ after the collision?

Accepted Answer

$$v_1$$' \approx -$$v_1$$

Question 18

A force acts on a particle for a time $$\Delta t$$, changing its momentum by $$\Delta p. $$What is the impulse delivered to the particle?

Accepted Answer

$$J = \Delta p$$

Question 19

A car's speedometer needle rotates around a fixed axis. What is the angular displacement $$	heta$$ after time $$t if $$the angular velocity is $$\omega$$?

Accepted Answer

$$	heta = \omega t$$

Fundamental Concepts in College Physics: Motion, Forces, Energy, and Momentum

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