Question 1

A physical quantity $$p is $$defined as $$p = F v / a$$ where $$F is $$force, $$v is $$velocity, and $$a is $$acceleration. Which of the following has the correct units for $$p$$?

Accepted Answer

$$\mathrm{kg} \; \mathrm{m}^2 / \mathrm{s}$$

Question 2

You travel 30 miles South for 2 hours, then 140 miles North for 3 hours. What was your average velocity for the entire trip?

Accepted Answer

34 mph North

Question 3

A rocket-propelled car starts from rest and moves to the right with constant acceleration of $$15 \; \mathrm{m/s}^2$$ for $$7 \; \mathrm{s}$$ until the fuel is exhausted. It then continues with constant velocity. What is the car's velocity at the moment the fuel runs out?

Accepted Answer

$$v = 105 \; \mathrm{m/s}$$

Question 4

A block is pulled by a tension force of $$50.0 \; \mathrm{N} at an $$angle of $$26^\circ$$ above the horizontal. What is the horizontal component of the tension force?

Accepted Answer

$$T_x = 50.0 \cos 26^\circ = 44.9 \; \mathrm{N}$$

Question 5

Two masses $$m_1 = 3.5$$ \; \mathrm{kg}$$ and m_2$ = 4.2 \; \mathrm{kg}$$ are connected by a string on a frictionless table. $$m_1 is $$pulled by a tension force of $$54.0 \; \mathrm{N} at an $$angle of $$28^\circ$$ above the horizontal. What is the magnitude of the acceleration of $$m_1$$?

Accepted Answer

$$a = \dfrac{54.0 \cos 28^\circ}{3.5} = 13.7 \; \mathrm{m/s}^2$$

Question 6

A car starts from rest and accelerates at $$a$$ for time $$t_1$$, then continues at constant velocity for time $$t_2. $$What is the total distance traveled?

Accepted Answer

$$d = \dfrac{1}{2} a t_1$^2 + a t_1$ t_2$

Question 7

Which of the following correctly expresses Newton's Second Law for a system of two connected masses $$m_1$$ and $$m_2$$ being pulled by a force $$F on a $$frictionless surface?

Accepted Answer

$$F = (m_1$ + m_2$) a$$

Question 8

A block slides down a frictionless incline of angle $$	heta. $$What is the acceleration of the block?

Accepted Answer

$$a = g \sin 	heta$$

Question 9

A car moves with constant acceleration $$a. $$Which graph best represents its velocity $$v$$ versus time $$t$$?

Accepted Answer

A straight line with positive slope

Question 10

A force $$F$$ acts on a mass $$m$$ for a time $$\Delta t. $$What is the change in velocity $$\Delta v of $$the mass?

Accepted Answer

$$\Delta v = \dfrac{F \Delta t}{m}$$

Question 11

A ball is thrown vertically upward with initial velocity $$v_0. $$What is the maximum height reached?

Accepted Answer

$$h = \dfrac{v_0$^2}{2g}$$

Question 12

A car accelerates from rest at $$a = 4 \; \mathrm{m/s}^2$$ for $$5 \; \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$v = 20 \; \mathrm{m/s}$$

Question 13

A block of mass $$m is $$pulled by a force $$F at an $$angle $$	heta$$ above the horizontal. What is the vertical component of the force?

Accepted Answer

$$F_y = F \sin 	heta$$

Question 14

A car travels at $$v_0$$ for time $$t. $$What is the displacement $$\Delta x$$?

Accepted Answer

$$\Delta x = v_0$ t$$

Question 15

A block of mass $$m is $$connected to a spring with spring constant $$k. $$What is the force exerted by the spring when stretched by distance $$x$$?

Accepted Answer

$$F = -k x$$

Question 16

A car moves with velocity $$v$$ and covers a distance $$d in $$time $$t. $$Which equation relates these quantities?

Accepted Answer

$$v = \dfrac{d}{t}$$

Question 17

A block of mass $$m is $$acted on by a net force $$F. $$What is its acceleration?

Accepted Answer

$$a = \dfrac{F}{m}$$

Question 18

A car starts from rest and accelerates at $$a$$ for time $$t. $$What is the distance covered?

Accepted Answer

$$d = \dfrac{1}{2} a t^2$

Question 19

A block of mass $$m is $$pulled by a force $$F on a $$frictionless surface. If $$F is $$doubled, what happens to the acceleration?

Accepted Answer

It doubles

Fundamental Concepts in Kinematics and Dynamics: Study Notes and Problem Guide

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