Q: A force of $$10 N $$acts at an angle of $$60^\circ to $$the direction of displacement of $$5 m. $$What is the work done by the force?

$$10 \times 5 \times \cos 60^\circ = 25 J$$

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 with a speed of $$32.0 m/s. $$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 $$2.0$$ seconds? (Assume $$g = 9.8 m/s$^2$$ and initial velocity is zero.)

Accepted Answer

$$19.6 m$$

Question 4

Which of the following statements about the cat's movement in the position vs. time graph is NOT true?

Accepted Answer

The cat's velocity is zero at point B.

Question 5

A block sits at rest and stays at rest on a slide with rough surfaces. Which of the following best describes the correct free-body diagram for all forces acting on the block?

Accepted Answer

The diagram with three forces: gravity, normal force, and friction, all correctly oriented.

Question 6

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 7

Which equation correctly expresses the work done by a constant force $$\vec{F}$$ acting over a displacement $$\Delta \vec{r} at an $$angle $$	heta$$?

Accepted Answer

$$W = F \Delta r \cos 	heta$$

Question 8

A car of mass $$65 kg is $$moving at $$20.0 m/s $$and crashes into a tree, coming to rest in $$0.0030 s. $$What is the magnitude of the average force acting on the passenger (not wearing a seat belt)?

Accepted Answer

$$4.3 	imes 10^4$ N

Question 9

Which of the following best describes the effect of positive net work done on an object?

Accepted Answer

The object's speed will increase.

Question 10

A block of mass $$m is at $$rest on a horizontal table. Which of the following is the correct equation for the normal force $$N$$ acting on the block?

Accepted Answer

$$N = mg$$

Question 11

A car turns a corner on a level road. Which force is responsible for providing the centripetal force that keeps the car moving in a circle?

Accepted Answer

Friction force

Question 12

Which of the following is the correct formula for the frequency $$f of a $$point moving in uniform circular motion with period $$T$$?

Accepted Answer

$$f = 1/T$$

Question 13

A $$1400 N $$chest is lifted straight up $$1.0 m at $$constant speed. How much work is done by the movers?

Accepted Answer

$$1400 J$$

Question 14

A block slides down a frictionless ramp of length $$4.0 m $$and height $$1.0 m. $$What is the work done by gravity on the block?

Accepted Answer

$$mg 	imes 1.0 m$

Question 15

Which of the following is the correct expression for the kinetic energy $$K of an $$object of mass $$m$$ moving at speed $$v$$?

Accepted Answer

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

Question 16

A car of mass $$m is $$moving at velocity $$v. $$What is its momentum $$p$$?

Accepted Answer

$$p = mv$$

Question 17

A force of $$10 N $$acts at an angle of $$60^\circ to $$the direction of displacement of $$5 m. $$What is the work done by the force?

Accepted Answer

$$10 	imes 5 	imes \cos 60^\circ = 25 J$$

Question 18

A car of mass $$1000 kg is $$moving at $$10 m/s. $$What is its kinetic energy?

Accepted Answer

$$50000 J$$

Question 19

A $$2 kg $$object is moving at $$3 m/s. $$What is its momentum?

Accepted Answer

$$6 kg$$\,m/s$

Question 20

A $$5 kg $$object is acted on by a net force of $$20 N. $$What is its acceleration?

Accepted Answer

$$4$$ $$m/s^2$

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

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