LONG BRANCH HIGH SCHOOL
AP Physics-1 Summer
Assignment
2015
Instructions:
1. Solve all problems on separate paper making certain to show all work. This means that all givens
should be listed, appropriately selected equations, manipulation of these equations to isolate
the unknown, substitute in known values and then solve. All units must be shown.
No credit is awarded for just providing the correct answer.
2. This assignment is due the first scheduled class of the 2015-2016 school year.
3. Separately there is an equation sheet and answer key for your use. Make sincere attempts at a
solution prior to sending an email requesting help. If you do require assistance state what
question you are working on and specifically what steps/thoughts you have toward a solution.
a.
www.njctl.org; courses/science/algebra-based physics.
b. email:
i.
Mr. Keagle @ jkeagle@longbranch.k12.nj.us
ii. Dr. Cartegna @ ncartegna@longbranch.k12.nj.us
AP Physics-1 Summer Assignment 2015
Kinematics
1. An object is traveling at a constant velocity of 11 m/s when it experiences a constant acceleration of
1.5 m/s2 for a time of 14 s. What will its velocity be after that acceleration?
2. An object is thrown vertically up with a velocity of 35 m/s. What was the maximum height it reached?
3. A boy throws a ball vertically up and catches it after 3 s. What height did the ball reach?
4. An object is moving at a velocity of 5.8 m/s. It accelerates to a velocity of 25 m/s over a time of 3.3 s.
What acceleration did it experience?
5. A car which is traveling at a velocity of 9.6 m/s undergoes an acceleration of 4.2 m/s2 over a distance
of 450 m. How fast is it going after that acceleration?
6. A marble is projected vertically up by a spring gun, and reaches the maximum height of 9.8 m. What
is the initial speed of the marble? How long was the marble in the air?
7. An arrow is shot vertically up by a bow, and after 8 s returns to the ground level. What is the initial
velocity of the arrow? How high did it go?
8. Starting at the position, x0 = 10 m, you travel at a velocity of 4 m/s for 2 s.
a. Determine your position at the times of 0s; 0.5s; 1s; and 1.5s.
b. Draw the Position versus Time for your travel during this time.
c. Draw the Velocity versus Time graph for your trip.
9. The velocity versus time graph,
right, describes the motion of
three different cars moving along
the x-axis.
a. Describe, in words, the
velocity of each of the
cars. Make sure you
discuss each car’s speed
and direction.
b. Calculate the
displacement of each car
during its 6 s trip.
c. Calculate the distance
traveled by each car
during its 6 s trip.
2
AP Physics-1 Summer Assignment 2015
Dynamics
10. A 12 kg load hangs from one end of a rope that
passes over a small frictionless pulley. A 15 kg
counterweight is suspended from the other end
of the rope. The system is released from rest.
a. Draw a free-body diagram for each
object showing all applied forces in relative scale. Next to each diagram show the
direction of the acceleration of that object.
b. Find the acceleration each mass.
c. What is the tension force in the rope?
d. What distance does the 12 kg load move in the first 3 s?
e. What is the velocity of 15 kg mass at the end of 5 s?
11. A 500 g block lies on a horizontal tabletop.
The coefficient of kinetic friction between
the block and the surface is 0.25. The block
is connected by a massless string to the
second block with a mass of 300 g. The
string passes over a light frictionless pulley
as shown above. The system is released
from rest.
a. Draw clearly labeled free-body diagrams for each of the 500 g and the 300g masses.
Include all forces and draw them to relative scale. Draw the expected direction of
acceleration next to each free-body diagram.
b. Use Newton’s Second Law to write an equation for the 500 g mass.
c. Use Newton’s Second Law to write an equation for the 300 g mass.
d. Find the acceleration of the system by simultaneously solving the system of two
equations.
e. What is the tension force in the string?
3
AP Physics-1 Summer Assignment 2015
12. A 2000 kg car travels in a straight line on a
horizontal road. The relationship between
car’s velocity and the time are given by the
above graph.
a. What is the car’s acceleration
during first 20 s?
b. What is the net force applied
by the engine during the first
20 s?
c. What is the car’s acceleration
from 20 s to 40 s?
d. What is the net force applied
by the engine during this
time?
e. What is the car’s acceleration from 40 s to 50 s?
f. What is the net force applied by an engine during this time?
Uniform Circular Motion
13. A 0.65 kg ball is attached to the end of a string. It is swung in a vertical circle of radius 0.50 m. At the
top of the circle its velocity is 2.8 m/s.
a. Draw a free body diagram for the ball when it is at the top of the circle. Next to that
diagram indicate the direction of its acceleration.
b. Use that free body diagram to set up the equations needed to determine the Tension in
the string.
c. Solve those equations for the Tension in the string.
14. A 0.65 kg ball is attached to the end of a string. It is swung in a vertical circle of radius 0.50 m. At the
bottom of the circle its velocity is 2.8 m/s.
a. Draw a free body diagram for the ball when it is at the bottom of the circle. Next to that
diagram indicate the direction of its acceleration.
b. Use that free body diagram to set up the equations needed to determine the Tension in
the string.
c. Solve those equations for the Tension in the string.
4
AP Physics-1 Summer Assignment 2015
Work and Energy
15. A small block, with a mass of 250 g, starts from rest at the top of the apparatus shown above. It then
slides without friction down the incline, around the loop and then onto the final level section on the
right. The maximum height of the incline is 80 cm, and the radius of the loop is 15 cm.
a. Find the initial potential energy of the block
b. Find the velocity the block at the bottom of the loop
c. Find the velocity of the block at the top of the loop.
d. What is the normal force on the block at the lowest point of the loop?
e. What is the normal force on the block at the highest point of the loop?
16. A 0.8 kg block is attached to the end of a spring whose spring constant is 85 N/m. The block is placed
on a frictionless tabletop, given an initial displacement of 3.5 cm and then released.
a. What type of energy did the block-spring system initially have?
b. Find the magnitude of this energy.
c. How does the total energy of the block-spring system change as the block is pushed across the
frictionless surface? Explain.
d. Find the maximum velocity of the block.
5
AP Physics-1 Summer Assignment 2015
Momentum
17. A track consists of a frictionless incline plane, which is a height of 0.5 m, and a rough horizontal
section with a coefficient of kinetic friction 0.02. Block A, whose mass is1.5 kg, is released from
the top of the incline plane, slides down and collides instantaneously and inelastically with
identical block B at the lowest point. The two blocks move to the right through the rough section
of the track until they stop.
a.
b.
c.
d.
e.
f.
Determine the initial potential energy of block A.
Determine the kinetic energy of block A at the lowest point, just before the collision.
Find the speed of the two blocks just after the collision.
Find the kinetic energy of the two blocks just after the collision.
How far will the two blocks travel on the rough section of the track?
How much work will the friction force do during this time?
18. A bullet of mass 0.01 kg is moving horizontally with a speed of 100 m/s when it hits a block of
mass 2 kg that is at rest on a horizontal surface with a coefficient of friction of 0.4. After the
collision the bullet becomes embedded in the block.
a.
b.
c.
d.
e.
f.
g.
What is the net momentum of the bullet-block system before the collision?
What is the net momentum of the bullet-block system after the collision?
What is the speed of the bullet-block system after the collision?
Find the total energy of the bullet-block system before the collision?
Find the total energy of the bullet-block system after the collision?
Is the total energy conserved during the collision?
Find the maximum traveled distance of the bullet-block after the collision?
6
AP Physics-1 Summer Assignment 2015
Electric Charge and Force
19. A positive charge Q1 = 7.4 μC is located at a point X1 = -2 m, a negative charge Q2 = -9.7 μC is located
at a point X2 = 3 m and a positive charge Q3 = 2.1 μC is located at a point X3 = 9 m.
a.
b.
c.
d.
e.
f.
g.
Draw free body diagrams for the electric force acting on Q1, Q2 and Q3.
Find the magnitude of the force between Q1 and Q2.
Find the magnitude of the force between Q1 and Q3.
Find the magnitude of the force between Q2 and Q3.
Find the magnitude and direction of the net electric force on charge Q1.
Find the magnitude and direction of the net electric force on charge Q2.
Find the magnitude and direction of the net electric force on charge Q3.
20. Two identical balls (B and C) with a mass of 0.5 g are suspended from two strings as show above.
The balls carry equal charges +10 nC each and are separated by a distance of 4 cm.
a. Draw free-body diagram and show all forces applied to ball C.
b. Find the tension force in the string BC.
c. Draw free-body diagram and show all forces applied on ball B.
d. Find the tension force in string AB.
e. Answer questions a, b, c, d for the situation when the balls have equal but opposite
charges (charge on B is positive and charge on C is negative).
7
AP Physics-1 Summer Assignment 2015
Magnetic Force
21. A thin 2.4 m long aluminum wire has a mass of 0.15 kg and is suspended by a magnetic force due to
a uniform magnetic field of 1.2 T.
a. On the diagram above show all the applied forces on the wire.
b. What is the net force on the wire if it is in equilibrium?
c. On the diagram above show the direction of the magnetic field.
d. What is the magnitude of the current flowing through the wire?
22. A proton is traveling horizontally at a constant speed of 7.4*106 m/s when it enters a uniform
magnetic field of 0.46 T (see figure above).
a. On the diagram above show the direction of the magnetic force on the proton as it
enters the magnetic field.
b. On the diagram above show an approximate path of the proton.
c. Calculate the magnitude of the magnetic force on the proton.
d. Calculate the acceleration of the proton.
e. Calculate the radius of the path that the proton follows in the magnetic field.
8
AP Physics-1 Summer Assignment 2015
Simple Harmonic Motion
23. A bullet m = 0.001 kg moves with a speed of 500 m/s and strikes a block M = 2 kg at rest. After the
collision the bullet becomes embedded into the block. The block is attached to the end of a spring k
= 120 N/m.
a.
b.
c.
d.
e.
f.
What is the initial kinetic energy of the bullet?
What is the speed of the bullet-block system after the collision?
What is the kinetic energy of the bullet-block system after the collision?
What is the maximum elastic potential energy when the block comes to rest?
What is the maximum compression of the spring?
What is the period of oscillations?
24. A piece of clay m = 0.04 kg has a speed of 15 m/s as shown above. The clay strikes a pendulum bob
M = 0.5 kg and sticks to it. The pendulum bob is attached to a string that is 0.5 meters long. As a
result of the collision the pendulum swings to the right and the bob moves up by distance h.
a.
b.
c.
d.
e.
f.
What is the initial kinetic energy of the clay?
What is the speed of the clay-bob system after the collision?
What is the kinetic energy of the clay-bob system after the collision?
What is the maximum gravitational potential energy of the clay-bob system?
Find the maximum height of the bob after the collision.
What is the period of oscillations?
9
AP Physics-1 Summer Assignment 2015
25. A 0.5 mass is attached to a horizontal spring which undergoes SHM. The graph of EPE as a function
of position show above. The total energy of the oscillating system is 0.8 J.
a.
b.
c.
d.
e.
f.
g.
Draw the graph of total energy as a function of position.
Draw the graph of kinetic energy as a function of position.
What is the maximum displacement of the oscillating mass?
What is the potential energy at the position of 2 cm?
What is the kinetic energy at the position of 2 cm?
Find the location of the oscillating mass when its potential energy is 0.7 J.
What is the period of oscillations?
Geometric Optics
26. A candle is placed at a distance of 15 cm from of a concave mirror with a focal length of 10 cm. The
candle is 4 cm tall.
a. On the diagram below use ray-tracing to show the image produced by the
mirror.
b. Find the image distance. Is the image real or virtual?
c. Find the size of the image. Is the image upright or inverted?
10
AP Physics-1 Summer Assignment 2015
27. An object is placed at a distance of 80 cm from a converging lens with a focal length of 30 cm.
a. On the diagram below use ray-tracing to show the image formed by the lens.
b. Calculate the image distance. Is the image virtual or real?
c. If the object is 8 cm tall, what is the size of the image?
11
AP Physics-1 Summer Assignment 2015
Kinematics
Energy
1
x  x o  v o t  at 2
2
v  v o  at
W  Fd parallel
v-velocity
GPE  mgh
1
KE  mv 2
2
W
P
t
P  Fv parallel
t-time
Eo  W  E f
v 2  v o2  2a( x  x o )
x-displacement
a-acceleration
Dynamics
F  ma
f   k FN
w  mg
Fspring  kx
EPE 
1 2
kx
2
W-work
F-force
d-distance
F-force
GPE-gravitational potential
m-mass
energy
a-acceleration
m-mass
f-friction
k-coefficient of
kinetic
friction
FN-normal force
g-acceleration due to gravity
h-height
KE-kinetic energy
v-velocity
w-weight
P-power
g-acceleration due to
gravity
t-time
Centripetal
Acceleration
E-energy
Fspring-force of a spring
k-spring constant
x-extension or compression
EPE-elastic potential energy
Fluids
Electric Current
F
A
m

V
P  gh
Q
t
V  IR
P
SG 

 water
Pin  Pout
Pabs  Patm  Pgauge
FB  m fluid g
FB  gV
P-pressure
F-force
A-area
-density
I
R
P
l
A
UE
t
P  IV  I 2 R 
V2
R
I- current
Q-charge
t-time
V-voltage
R-resistance
-resistivity
m-mass
V-volume
g-acceleration due to gravity
h-height
SG-specific gravity
Pabs-absolute pressure
Patm-atmospheric
pressure
l-length
A-area
P-power
UE-electric potential energy
Resistors in Series
VT  V1  V 2  V3 ...
I T  I 1  I 2  I 3 ...
R Eq  R1  R 2  R3 ...
Pgauge-gauge pressure
VT-total voltage
FB-buoyant force
V1, V2, V3-voltage
mfluid-mass of fluid
IT-total current
Electrostatics, Fields and
Potential
I1, I2, I3-current
REq-equivalent resistance
R1, R2, R3-resistance
12
AP Physics-1 Summer Assignment 2015
v2
r
t
1
T

N
f
N 1
f 

t
T
2r
v
 2rf
T
Momentum
a-acceleration
p-momentum
v-velocity
m, m1, m2-mass
r-distance
v-velocity
T-period
v1, v2-initial velocity
t-elapsed time
v1, v2-final velocity
f-frequency
I-impulse
N-number of cycles
F-force
Universal
Gravitation
t-time
a
FG 
Gm1 m 2
p  mv
p  m1v1  m2v2  ...
m1v1  m2v2  m1v1  m2v2
v1  v1  v2  v2
I  p
I  mv
I  Ft
kq1q2
r2
F
E
q
kq
E po int  2
r
kq1q2
UE 
r
U E   qV
FE 
kq
V po int 
r
V
Euniform 
r
U E   qEr
Resistors in Parallel
VT  V1  V 2  V3 ...
I T  I 1  I 2  I 3 ...
1
1
1
1



...
R EQ R1 R 2 R3
VT-total voltage
V1, V2, V3-voltages
IT-total current
I1, I2, I3-current
REq-equivalent resistance
FE-electric force
R1, R2, R3-resistance
k-electric constant
EMF
r- distance
  IR  Ir
VT    Ir
E-electric field
-emf
F-force
I-current
Epoint- point charge electric
field
R-resistance
q, q1, q2, Q-charge
2
r
GM
g 2
r
GM
v
r
2
T
4 2

r 3 GM
UE-electric potential energy
r-internal resistance
VT-teminal voltage
∆V-potential difference or
Voltage
Vpoint-voltage due to a point
FG-gravitational force
charge
G-gravitational
constant
Euniform-uniform electric field
m1, m2, M-mass
r-distance
g- acceleration due to
gravity
13
AP Physics-1 Summer Assignment 2015
T-period
14
AP Physics-1 Summer Assignment 2015
15
AP Physics-1 Summer Assignment 2015
Solutions
1.
2.
3.
4.
5.
6.
7.
8.
32 m/s
62.5 m
11 m
5.8 m/s2
62.2 m/s
13.9 m/s, 1.4 s
39.2 m/s
meters
a. 10m, 12m, 14m, 18m
b. and c.
0
0.5
1
20 2
15
10
5
0
0
10
4
position
Vs. time
plot
12
4
14
18
0.5
4
4
1
1.5
2
2.5
2
2.5
seconds
meters/second
velocity Vs time
6
4
2
0
0
0.5
1
1.5
seconds
9.
a. Series 1 car is initially traveling with a-4.0 m/s but undergoes a constant forward
acceleration of 1 m/s2 for 6 seconds. Series 2 cat has a constant forward velocity
of 4 m/s for 6 s. Series 3 car has an initial velocity of 4 m/s but experiences a
negative acceleration of –1 m/s2 for 6 seconds.
b. -6m, 24m, 6m
c. 10m, 24m, 10m
16
AP Physics-1 Summer Assignment 2015
10. Ss
a.
b.
c.
d.
e.
1.1 m/s2
131 N
4.9 m
3.3 m/s
11.
a.
b. FT –Ffr = m1a
c. FT – m2g = m2a
d. 2.1 m/s2
e. 2.3 N
12.
a.
b.
c.
d.
e.
f.
1 m/s2
2000 N
0 m/s2
0N
-2 m/s2
-4000 N
17
AP Physics-1 Summer Assignment 2015
13.
a.
b. FT = mv2/r –mg
c. 3.8 N
14.
a.
b. FT = mv2/r +mg
c. 16.5 N
15.
a. 1.96 J
b. 3.96m/s
c. 3.13 m/s
d. 28.59N
e. 22.69N
18
AP Physics-1 Summer Assignment 2015
16.
a. EPE
b. 0.0521J
c. When the block is released it begins to accelerate increasing the KE and
simultaneously reducing the compression in the spring thereby reducing the EPE.
So the total amount of energy stays the same.
d. 0.361m/s
17.
a. 7.35 J
b. 7.35 J
c. 1.56 m/s
d. 6.2 m
18.
a. 1 kg-m/s
b. 1 kg-m/s
c. 0.498 m/s
d. 50J
e. 0.249 J
No, this is an inelastic collision the KE before the collision is 50 J after the
collision it is only 0.249J.
g. 0.0316m
f.
19
AP Physics-1 Summer Assignment 2015
19.
a.
b. 2.58 x 10-2N
c. 1.16 x 10-3N
d. 5.09 x 10-3N
e. 2.64 x 10-2N
-2.07 x 10-2N
g. -3.93 x 10-2N
f.
20.
a.
b. 0.00546N
c.
d. 9.8 x10-3N
20
AP Physics-1 Summer Assignment 2015
21
AP Physics-1 Summer Assignment 2015
21.
a.
b. 0 N
c. Into the page.
d. 0.533A
22.
a.
b.
c. 5.446 x10-13 N
d. 3.26x1014 m/s2
e. 0.168 m
22
AP Physics-1 Summer Assignment 2015
23.
a. 4.5J
b. 1.11m/s
c. 0.333J
d. 0.333J
e. 0.0629m
f.
1.42s
24.
25.
a. and b.
c. 5 cm
d. 0.1J
e. 0.7J
x = 4.8cm or x = -4.8cm
g. 0.176s
f.
23
AP Physics-1 Summer Assignment 2015
26.
g.
h. 30 cm
i. 2 cm
24
AP Physics-1 Summer Assignment 2015
27.
a.
b. 48 cm
c. 4.8 cm
25