Question 1

A vector $\vec{A}$ has components $A_x = -5.0$ m and $A_y = 12.0$ m. What is the magnitude of $\vec{A}$?

Accepted Answer

$14$ m

Question 2

A car is moving at $32.0$ m/s. The driver sees an accident ahead and slams on the brakes, giving the car a deceleration of $3.50$ m/s$^2$. How far does the car travel after the driver puts on the brakes before it comes to a stop?

Accepted Answer

$146$ m

Question 3

You drop a ball from the top of a tower. How far will it fall in $2.00$ seconds? (Assume $g = 9.8$ m/s$^2$ and initial velocity is zero.)

Accepted Answer

$19.6$ m

Question 4

Which of the following is the correct formula for the work done by a constant force $\vec{F}$ acting on an object whose displacement is $\vec{\Delta r}$ at an angle $	heta$?

Accepted Answer

$W = F \Delta r \cos 	heta$

Question 5

A $65$ kg passenger in a car moving at $20.0$ m/s crashes into a tree and is brought to rest by a collision with the windshield and dashboard that lasts $0.0030$ s. What is the magnitude of the average force acting on the passenger?

Accepted Answer

$4.3 	imes 10^4$ N

Question 6

Which statement about the normal force $N$ and the weight $w$ for a box resting on a table is correct?

Accepted Answer

The normal force equals the magnitude of the weight.

Question 7

A block sits at rest on a slide with rough surfaces. Which free-body diagram most closely resembles the correct diagram for all forces acting on the block?

Accepted Answer

Diagram D

Question 8

Which equation correctly relates static friction $f_s$ and kinetic friction $f_k$ to the normal force $N$?

Accepted Answer

$f_s \leq \mu_s N$ and $f_k = \mu_k N$

Question 9

A baseball is thrown in projectile motion. At the top of its trajectory, which statement is true about its velocity?

Accepted Answer

The velocity at the top is equal to the $x$-component of the initial velocity.

Question 10

Which of the following is the correct formula for translational kinetic energy?

Accepted Answer

$K = \frac{1}{2}mv^2$

Question 11

A car runs in a straight line. The graph below shows its position as a function of time. Which statement about the car's movement is NOT true?

Accepted Answer

The car's velocity is zero at point B.

Question 12

The area under a velocity-time graph represents:

Accepted Answer

The object's displacement

Question 13

Which of the following is the correct kinematic equation relating velocity, acceleration, and time?

Accepted Answer

$v_f = v_0 + a t$

Question 14

When several forces act on an object, the total work is:

Accepted Answer

The sum of the work done by each force individually

Question 15

Which of the following statements is true about the effect of impulse on momentum?

Accepted Answer

Impulse is equal to the change in momentum.

Question 16

Earth rotates about its axis once every 24 hours. What is the angular speed $|\omega|$ in rad/s?

Accepted Answer

$|\omega| = \frac{2\pi}{86400}$ rad/s

Question 17

Which formula gives the frequency $f$ of uniform circular motion in terms of the period $T$?

Accepted Answer

$f = \frac{1}{T}$

Question 18

A variety of forces are applied to an object such that the net force does positive work on that object. What can you conclude about the speed of the object?

Accepted Answer

When the total work done on the object is positive, the object's speed will increase.

Question 19

A compact rod balances when suspended from its center of mass. If you cut the rod in two at its center of mass, how do the masses of the two pieces compare?

Accepted Answer

The masses are equal.

Physics Final Exam Study Guide: Vectors, Kinematics, Forces, Energy, Momentum, and Rotation

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