AP PHYSICS

Warm-Up Exercises

1D KINEMATICS

1D KINEMATICS

1-D KINEMATICS

1-D KINEMATICS

1-D KINEMATICS

1-D KINEMATICS

1-D KINEMATICS

C BD

A E

1-D KINEMATICS

3 E

5 B

1 F

2 A

4 C

6 D

FREE FALL

FREE FALL

Draw three graphs (position versus time, velocity versus time and

acceleration versus time) depicting the motion of the rocket from lab.

GRAPHS OF MOTION

Complete the chart below.

FORCES

FORCES

FORCES

TENSION

TA = 1163 N TB = 1212 N

1 kg = 2.2 lb

FORCES

FORCES

FORCES

FORCES

An object is moving east at a constant speed. Three forces

act on the object. One force is 3 N directed east and 4 N is

directed north. What is the magnitude and direction of the

third force if the object continues moving at a constant

speed?

5 N, southwest

FORCES

You are standing on a spring scale in an elevator that is moving

upward with a constant speed. The reading of this scale

(A) cannot be determined without knowing the speed of

the elevator

(B) is the same when the elevator was at rest

(C) is less than when the elevator was at rest

(D) is greater than when the elevator was at rest

FRICTION

µk = 0.32

FRICTION

a = 2 m/s2

FRICTION

Determine the acceleration of the blocks and the

tension T assuming the following values: m1 = 4 kg;

m2 = 1 kg; µs = 0.15; and µk = 0.12.

a = 1.04 m/s2

T = 8.96 N

FRICTION

If the man pushes the lawn

mower at a constant speed

with a force of 85 N at an

angle of 35 degrees, what is

the coefficient of kinetic

friction between the 40 kg

mower and the grass?

µk = 0.16

INCLINED PLANES

INCLINED PLANES

Calculate the acceleration of the blocks if m1 = 3 kg and m2 = 2 kg and the

coefficient of kinetic friction between m1 and the inclined plane is 0.12.

a = 0.54 m/s2

INCLINED PLANES

Calculate the acceleration of the load if its mass is 2 kg,

the applied force is 30 N, the angle of inclination is 300,

and the µk is 0.10.

a = 9.1 m/s2

INCLINED PLANES

Calculate the acceleration of the block if m = 2 kg, α = 300, T = 3O N, β = 150,

the coefficient of kinetic friction between m1 and the inclined plane is 0.12.

a = 8.9 m/s2, up the incline

CIRCULAR MOTION

CIRCULAR MOTION

CIRCULAR MOTION

UNIVERSAL GRAVITATION

WORK AND ENERGY

F = 20 N

F = 35 N

a = 1.5 m/s2

WORK AND ENERGY

A roller coaster car of mass m = 200 kg is released from rest at the top

of a 60 m high hill (position A), and rolls with negligible friction down

the hill, through a circular loop of radius 20 m (positions B, C, and D),

and along a horizontal track (to position E).

A.What is the velocity of the car at position B?

B.What is the velocity of the car at position D?

vB = 35 m/s

vD = 20 m/s

WORK AND POWER

ELASTICS

ELASTICS

ELASTICS

A block of mass 2.0 kg is hung from a spring, causing it to stretch 10 cm at

equilibrium. The 2.0 kg block is then replaced by a 5.0 kg block, and the new

block is released from the spring’s equilibrium, at which the spring is not

stretched. How far will the 5.0 kg block fall before its direction is reversed?

50 cm

IMPULSE

A ball with a mass of 0.50 kg and a speed of 6 m/s collides perpendicularly with a

wall and bounces off with a speed of 4 m/s in the opposite direction. What is the

magnitude of the impulse acting on the ball?

(A) 1 Ns

(B) 5 Ns

(C) 2 Ns

(D) 10 Ns

IMPULSE

IMPULSE

EXPLOSIONS

MOMENTUM

EXPLOSIONS

SHM

SHM

SHM

SHM

SHM

A block hanging vertically

from a spring undergoes

simple harmonic motion.

Which of the graphs to the

right could represent the

acceleration a as a function of

position x for this block, where

x = 0 is the midpoint of the

harmonic motion?

200 N

TORQUE

A uniform beam (mass = 22 kg) with a

25 kg sign attached to the end is

supported by a cable that is attached

to the center of the beam a shown in

the diagram. Find the tension in the

cable and the vertical and horizontal

forces the wall exerts on the hinge.

45o

25 kg

T = 1018 N

Fx = 720 N

Fy = 250 N

TORQUE

20 cm mark

5 kg

Determine the reading on the spring

scale and the tension in the string if the

meter stick weighs 2 N.

spring scale

string

spring scale = 11 N

string = 41 N

TORQUE

ROTATIONAL KINEMATICS

A ferris wheel takes 3 minutes to make one revolution. What

is the angular velocity of the ferris wheel?

A. 2.094 rad/s

B. 0.035 rad/s

C. 0.35 rad/s

D. 18.85 rad/s

MOMENT OF INERTIA

ROTATIONAL DYNAMICS

ANGULAR MOMENTUM

ROTATIONAL DYNAMICS

A solid cylinder of mass m and radius R has a string

wound around it. A person holding the string pulls it

vertically upward causing the cylinder to rotate and

accelerate upward. The tension in the string is T and

the moment of inertia of the cylinder is ½MR2.

A. In terms of the given quantities, what is the linear

acceleration of the cylinder?

B. What is the angular acceleration?

C. What quantities would you graph to determine

the torque on the cylinder?

a = 2T/m

α = 2T/mR

α and I (area)

ROLLING

WAVES

HARMONICS

RESONATORS

RESONATORS

Some police forces have used whistles that have two chambers of different

lengths. A model of the whistle chamber is shown below.

The fundamental frequencies for the two chambers are 2136 Hz and 1904 Hz.

If the speed of sound in air is 343 m/s, what is the length of the longer

chamber?

SHORTER CHAMBER

LONGER CHAMBER

1. What is the highest harmonic

shown in the diagram?

7th

2. If the length of the string is 5 m,

what is the wavelength of the 5th

harmonic?

2 m

3. If the fundamental frequency is

15 Hz, what is the frequency of

the 3rd harmonic?

45 Hz

HARMONICS

HARMONICS

If the speed of the following wave is 8 m/s, what is

the frequency of this wave?

A. 2 Hz

B. 4 Hz

C. 5 Hz

D. 10 Hz

10 m

CIRCUITS

a. 6 V

b. 3 Ωc. 6 Ω