Question 1

A car moves forward or backward along a straight track. Which of the following position vs. time graphs represents a car moving with a constant velocity away from the origin?

Accepted Answer

A straight line with positive slope

Question 2

A ball is thrown straight up with an initial velocity $$v_0. $$Neglecting air resistance, what is the velocity of the ball at its maximum height?

Accepted Answer

$$0$$

Question 3

A 2.0 kg block slides down a frictionless incline of height $$h = 5.0\ \mathrm{m}. $$What is its speed at the bottom of the incline?

Accepted Answer

$$\sqrt{2gh}$$

Question 4

Which of the following is NOT one of the four fundamental forces of nature?

Accepted Answer

Frictional force

Question 5

A mass $$m$$ attached to a spring oscillates with amplitude $$A. $$What is the total mechanical energy of the system?

Accepted Answer

$$\frac{1}{2}kA^2$

Question 6

A 1000 kg truck and a 1500 kg car are sliding horizontally on a flat, icy road and collide inelastically. If the truck was moving at $$10\ \mathrm{m/s}$$ and the car at $$-5\ \mathrm{m/s}$$, what is their final velocity after collision?

Accepted Answer

$$1\ \mathrm{m/s}$$

Question 7

A wheel of radius $$r$$ rotates at a constant angular speed $$\omega. $$What is the linear speed $$v of a $$point on the rim?

Accepted Answer

$$v = \omega r$$

Question 8

A 2.5 kg mass is attached to a spring with spring constant $$k = 50\ \mathrm{N/m}. $$What is the frequency of oscillation?

Accepted Answer

$$f = \frac{1}{2\pi}\sqrt{\frac{k}{m}}$$

Question 9

A buoy with a mass of $$225\ \mathrm{kg}$$ floats in seawater (density $$1025\ \mathrm{kg/m^3$}). $$What is the minimum volume the buoy must have to float?

Accepted Answer

$$0.22\ \mathrm{m^3$}$$

Question 10

A string of length $$L is $$fixed at both ends. What is the wavelength of the fundamental mode?

Accepted Answer

$$\lambda = 2L$$

Question 11

A boat moves at $$3.0\ \mathrm{m/s}$$ north relative to the water, and the river flows east at $$4.0\ \mathrm{m/s}. $$What is the magnitude of the boat's velocity relative to the ground?

Accepted Answer

$$5.0\ \mathrm{m/s}$$

Question 12

A mass $$m is $$dropped from a height $$h. $$What is its speed just before hitting the ground (neglecting air resistance)?

Accepted Answer

$$\sqrt{2gh}$$

Question 13

A block slides down a frictionless incline of angle $$	heta$$ and height $$h. $$What is the distance traveled along the incline?

Accepted Answer

$$d = \frac{h}{\sin	heta}$$

Question 14

A 0.5 kg mass attached to a spring oscillates with amplitude $$A = 0.1\ \mathrm{m}$$ and $$k = 20\ \mathrm{N/m}. $$What is the maximum speed of the mass?

Accepted Answer

$$v_{max} = A\sqrt{\frac{k}{m}}$$

Question 15

A 2.0 kg object is moving at $$4.0\ \mathrm{m/s}. $$What is its kinetic energy?

Accepted Answer

$$8\ \mathrm{J}$$

Question 16

A 1.0 kg object is lifted to a height of $$10\ \mathrm{m}$$ above the ground. What is its gravitational potential energy relative to the ground? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$98\ \mathrm{J}$$

Comprehensive Study Guide: Fundamental Physics Concepts and Applications

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