AP Physics C- Mechanics Summer Assignment
Mrs. Jyothiraj, Physics Teacher
2013-2014
Welcome to the AP Physics C- Mechanics Course. As you might be aware, this AP course is
equivalent to an introductory course in Mechanics for College Physics or Engineering majors.
This is a challenge that would involve covering a lot of topics in a relatively short time. I would
like to assure you that with consistent effort and determination you will not only be able to
master the topics but will also unveil the fascinating world of Physics, which would lead you to
exciting careers in science and technology.
The following topics will be covered in the course: Physics- Measurement, Motion in One and
Two dimensions, Vectors, Newton’s laws of motion, Circular motion, Energy, Momentum,
Rotational kinematics, Angular momentum, Equilibrium, Universal Gravitation, Oscillations and
Waves. This year you will apply these concepts to more advanced level problems. The pace of
the course will be very different than what you had in the Physics 1 course.
During the course of the summer you will complete a number of problems from the textbook
and also from previous College Board exams. All problems in the summer assignment packet
are a review of previously learned material in Physics 1 course. This packet contains two
sections. Section A contains questions from the first three chapters of the course text book.
Answers to all odd number problems are given at the end of the text book and for even number
problems are given with this assignment packet.
Section B contains questions from the previous College Board exams.
When completing problems, do not just put the answer; you must show all givens, what you are
looking for (unknown), equations you are using for a solution, and the plug-in with answer. (See
example problem)
When working problems follow this format:
A drag racer starts from rest, and accelerates at 7.40-m/s2. How far has it traveled in
2.00-s?
a = 7.40-m/s2
Given: vo = 0
Unknown: distance
Equation: d = vot + ½ at2
Solution:
d = (0)(2) + ½(7.4)(2)2
d = 0 + 14.8 = 14.8 m
t = 2.00-s
Due Date:
Assignment is due on September 4, 2013
Please note that hand written or typed assignments are welcome. Hand written assignments
must be legible and neat. Please email me at sjyothiraj@ucvts.tec.nj.us if you have any
questions.
We will review Chapter 1 on the first day of class, Chapter 2 on the second and third day of
class and the first test will be on the fourth day of class.
Late assignments will not be accepted.
Student who do not complete the assignments over the summer have typically not done well in
class and will be encouraged to drop out of this course.
I am looking forward to an exciting year in the AP Physics class. Have a great summer. See you
in September.
Mrs. Jyothiraj
Assignment: Answer all questions in a separate paper
Section A:
Chapter 1: Physics and Measurement
Problems # 1, 9, 12, 14, 16, 17, 21, 22, 26, 33, 34
Chapter 2: Motion in One Dimension
Problems # 1, 2, 3, 5, 7, 8, 10, 11, 18, 19, 20, 21, 25, 27, 38
Chapter 3: Vectors
Problems # 1, 2, 3, 6, 8, 11, 13, 15, 16
Section B: Show all work to get full credit
1.
A ball of mass 0.5 kilogram, initially at rest, is kicked directly toward a fence from a point 32
meters away, as shown above. The velocity of the ball as it leaves the kicker's foot is 20 meters
per second at an angle of 37° above the horizontal. The top of the fence is 2.5 meters high. The
kicker's foot is in contact with the ball for 0.05 second. The ball hits nothing while in flight and
air resistance is negligible.
a.
Determine the magnitude of the average net force exerted on the ball during the kick.
b.
Determine the time it takes for the ball to reach the plane of the fence.
c.
Will the ball hit the fence? If so, how far below the top of the fence will it hit? If not, how
far above the top of the fence will it pass?
Answers: a) F= 200 N
b) t= 2 sec
c) yes, d= 4m
2.
A 2.0 kg frictionless cart is moving at a constant speed of 3.0 m/s to the right on a horizontal
surface, as shown above, when it collides with a second cart of undetermined mass m that is
initially at rest. The force F of the collision as a function of time t is shown in the graph below,
where t = 0 is the instant of initial contact. As a result of the collision, the second cart acquires a
speed of 1.6 m/s to the right. Assume that friction is negligible before, during, and after the
collision.
(a) Calculate the magnitude and direction of the velocity of the 2.0 kg cart after the collision.
(b) Calculate the mass m of the second cart.
After the collision, the second cart eventually experiences a ramp, which it traverses with no
frictional losses. The graph below shows the speed v of the second cart as a function of time t for
the next 5.0 s, where t = 0 is now the instant at which the carts separate.
(c)
Calculate the acceleration of the cart at t = 3.0 s.
(d) Calculate the distance traveled by the second cart during the 5.0 s interval after the collision
(0 s < t < 5.0 s).
(e)
State whether the ramp goes up or down and calculate the maximum elevation (above or
below the initial height) reached by the second cart on the ramp during the 5.0 s interval after the
collision (0 s < t < 5.0 s).
Answers: a) v = 0.5 m/s to the right b) m = 3.1 kg c) a = - 0.73 m/s2 d) d = 5.5 m e) h =
0.12 m
3.
A child pulls a 15 kg sled containing a 5.0 kg dog along a straight path on a horizontal surface.
He exerts a force of 55 N on the sled at an angle of 20° above the horizontal, as shown in the
figure above. The coefficient of friction between the sled and the surface is 0.22.
(a) On the dot below that represents the sled-dog system, draw and label a free-body diagram for
the system as it is pulled along the surface.
(b) Calculate the normal force of the surface on the system.
(c) Calculate the acceleration of the system.
(d) Calculate the work done by the child's pulling force as the system moves a distance of 7.0 m.
(e) At some later time, the dog rolls off the side of the sled. The child continues to pull with the
same force. On the axes below, sketch a graph of speed v versus time t for the sled. Include both
the sled's travel with and without the dog on the sled. Clearly indicate with the symbol tr the time
at which the dog rolls off.
Answers: a) FN = 177 N
b) a = 0.64 m/s2 c) W = 360 J
Answers to even number questions in Section A
Chapter 1
12.
a) 3.39*105 ft3
14.
a) 7.14*10-2 gal/s
16.
667 lb/s
22.
a) 13.4 b) 49.1
26.
107 rev
b) 2.54*104 lb
b) 2.70*10-4 m3/s
c) 1.03 h
34. 31556926.0 s
Chapter 2
2.
a)
2.30 m/s
b) 16.1 m/s c) 11.5 m/s
8.
a) 5 m/s b) -2.5 m/s c) 0
10.
1.34*104 m/s2
20.
a) 6.61 m/s b) -0.448 m/s2
38.
1.79 s
d) +5 m/s
Chapter 3
2.
a. (x1, y1)= ( 2.17, 1.25 ) m,
(x2, y2) = (-1.90, 3.29) m
b. d = 4.55 m
6.
–R = 310 km at 57 deg. S of W
8.
9.5 N 57 deg. above the x axis
16.
1.31 km north, 2.81 km east