AP Physics C
AP Physics 2
Summer Assignment
2016
Begin this packet after you confirm your placement with guidance.
This assignment is being handed out to all students who have requested AP Physics C or AP Physics 2 in 2016-17. Receiving this assignment in no way guarantees or indicates that you will be placed in the AP Physics C or AP Physics 2 class in 2016-17. The exact schedule of each student will only be known after the master schedule is completed in summer. Start working on this packet only after you receive confirmation from Guidance that you are indeed in the 2016-17 AP Physics C or AP Physics 2 class.
Enjoy your summer!
OBJECTIVE:
The purpose of this assignment is to reinforce the Physics concepts you learned last year.
PROCEDURE:
- You will review thoroughly the following Physics topics:
I. KINEMATICS
II. NEWTON'S LAWS
III. WORK, POWER AND ENERGY
IV. MOMENTUM AND COLLISIONS
V. CIRCULAR MOTION
- All the information needed to answer the questions and solve the problems in the packet is in the Holt Physics Textbook.
- Also consult the www.physicsclassroom.com website. You will be able to review basic physics concepts through these tutorials. They have very nice animations and explanations especially geared toward high school students. Each tutorial has additional problems for you to practice and attain mastery over the material
- It is in your best interest to complete ALL questions and problems. If there is a particular problem that you cannot complete, be sure to show all your work for the problem.
- Practice drawing neat free-body diagrams and other diagrams wherever necessary.
HOW DOES THIS ASSIGNMENT COUNT?
-On the second day of classes after the summer vacation, you will be given a test based upon this Summer Assignment. Expect the questions on the test to be very reminiscent of the Summer Assignment. In short, those of you who did the summer assignment can expect to receive a great grade, since you will be well prepared. Those who did not-well, you will be taking your chances.
EXTRA HELP:
You may email me at if you have any questions or need help with the assignment.
Kinematics Problems-Velocity
1) At a recent regatta in California, The San Diego Crew Classic, results from the Men's Cal-Visitors Cup Grand Final with their times are as follows:
The course is 2000m long. Assuming constant velocity for all boats, how far behind OSU was each boat when OSU crossed the finish line? (UCSD=39m, Columbia=45m, UCI=53m, WSU=68m, UCSB=74m)
2) At a track meet at Bushman Field, a runner does one quarter-mile lap in 1.25 minutes. Assuming she starts and stops at the same point:
a. What was her average speed during this lap? (5.4m/s)
b. What was her average velocity for this lap? ( 0 m/s)
3) A train is moving towards a collapsed bridge. The velocity of the train remains constant at 20m/s. A person inside the train realizes that they will die unless they run to the back of the train and jump out. If the person is 15m from the back of the train and the back of the train is 50m from the break in the track, what velocity must the person run with to make it to the back of the train just as the back of the train goes over the break in the bridge...
a. relative to the train? (-6.0m/s)
b. relative to the ground? (14 m/s)
4) Train A starts at 4 km South of a bridge and heads North at a constant speed of 30 km per hour. Train B starts 6 km North of the bridge.
a. What velocity must Train B have so that the two trains cross the bridge at the same time? (-45.1 Km/h)
b. If Train B goes at 35 miles per hour, South, how far away from the bridge do they cross? (.62 km N of bridge)
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1D Kinematics-Constant Acceleration
1) You are asked to conduct an experiment to measure g. You set up a device which drops a metal ball from rest from a height of 1.650m. Using an accurate timing device which detects the release of the ball and its landing on the floor, you measure the average time of the falling ball to be 0.585s.
a. What do you measure the value of g as? (-9.64m/s2)
b. Can you give an explanation as to the error from the accepted value of 9.8 meters per square second?
2) A van starts from rest and travels for 10 seconds with a constant acceleration of 3.0 m/s2 The driver then applies the brakes causing a constant negative acceleration of -4.0 m/s2. Assuming the brakes are applied for 2.0 seconds:
a. How fast is the van going at the end of braking? (22 m/s)
b. How far has the van gone at the end of braking? (202 m)
3) A rock is thrown straight up in the air and passes a certain window 0.30s after being released. It passes the same window on its way back down 1.50s later. What was the initial velocity of the rock?(10.3 m/s)
4) A toy rocket is launched from rest and its engine delivers a constant acceleration of 8.2 meters per square second for 5.0s after which the fuel is used up. Assuming the rocket was launched straight up into the air and assuming no air resistance
a. Find the maximum altitude reached by the rocket. (188m)
b. Find the total time the rocket is in flight. (15.4 s)
5) A runner with a constant velocity of 4.0 meters/second runs by a stationary dog. After 1 second, the dog decides to chase the runner. The dog accelerates at 1.5m/s2.
a. How long does it take the dog to catch the runner? (6.19 s)
b. How far away from the spot where the dog was sitting has the runner gone when she is caught by the dog? (28.7m)
Note: Assume the runner is listening to walkman and doesn't realize the dog chasing her until it's too late. In other words assume constant velocity for the runner.
6) A balloon is dropped from rest from the top of a 20.0m cliff. At the same time, a person at the bottom of the cliff shoots an arrow up towards the balloon. The arrow strikes the balloon after 0.300 seconds.
a. How far up the cliff does the arrow strike the balloon? (19.56 m)
b. What was the arrow's initial velocity? (66.7m/s)
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Two-dimensional Kinematics (Projectiles, etc.)
1) Caught between the Dreamer foot bridge and the Wandering bridge, a good swimmer needs to cross the Aimless Brook river as fast as possible. His speed swimming is 1.50 meters per second. The current of the river is 1.00 meters per second and the river is 15 meters wide.
a. How long will it take him to swim across the river if he takes account of the current and swims so that his body remains at the same lateral position in the river while crossing it(ie. he travels exactly perpendicular to the bank), ending up on the far bank exactly across from where he started. (13.4 s)
b. If instead he lets his body be carried downstream by the current while just aiming his body for the other bank and swimming, how long will it take to get across the river, and how far downstream from his point of starting will he end up? (10 m)
2) A catapult can launch a brick at a speed vi, θ0 above the horizontal. You can use this device to measure the height of a building.
a. Given and the distance d that the brick lands from the building, find an equation for the height h of the building in terms of vi, θ0 and d. ( h= ½g[ d/vi cosθ]- dtanθ)
b. You use this catapult set at initial speed 10 m/s and θ=30 degrees. You find that the brick lands 18m away from the base of a building. How high is it? (10.8 m)
3) The farthest a person can throw a ball with no air resistance ( ) is s.
a. If they threw the ball with the same initial speed, but straight up, how high would it go as a fraction of s?(s/2)
b. If the max distance were 60.0m, what would be the max height? (30.0m)
4) A football is thrown to a moving football player. The football leaves the quarterback's hands 1.5m above the ground with a speed of 15 m/s at an angle 25 degrees above the horizontal. If the receiver starts 10m away from the quarterback along the line of flight of the ball when it is thrown, what constant velocity must he have to get to the ball at the instant it is 1.5m above the ground? (5.8 m/s)
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5) A relief plane with supplies is at an altitude h a distance over ground x from its drop point and the nose makes an angle θ below the horizontal.
a. What speed must the plane have at that moment to be able to release its supplies and have them land right on the drop zone? (√gx2/2cos2θ(h – xtanθ) )
b. When does this equation blow up (what are the limits of the variables)? Why? (h >= xtanθ)
Ignore air resistance and consider θ to be the direction of the velocity of the plane.
6) Two cannons, one aimed 450(left) from horizontal, the other aimed 600 (right) from horizontal, are simultaneously fired toward each other .
a. In order for the two projectiles to collide, at some point in time the y components of position must be the same. Since the cannons were fired simultaneously, show that this means the y components of their initial velocities must also be equal.
b. Given what you showed in part a, and that projectiles are fired from the left cannon at 100 m/s, determine the required initial velocity of projectiles fired out of the right cannon for an impact to occur. (81.6 m/s)
c. If the cannons are 1.3 km apart, when does this impact take place? (11.6 sec)
d. Where does it take place? (Give x,y coordinates relative to the left-hand cannon) (x=820.2m, y=160.9m)
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Newton’s Laws & Friction Problems
1) Let a force act on a mass m1. A mass m2 is added and you observe that the acceleration dropped to of its former level. Assuming the force remained the same, find the ratio of m1 to m2.
2) The terminal velocity of a skydiver (m=70kg) with arms and legs extended is about 120 mi/h (= 53.6 m/s).
a. What force does air resistance exert on the skydiver? (686 N)
b. If the skydiver pulls in their arms and aims their body downward, the terminal velocity can be increased to about 180 mi/h (= 80.5 m/s). What force does air resistance now exert on the skydiver? (686 N)
3) When a plane takes off, the combined actions of engines and wings on a plane produce a force of 90,000 N at an angle of 600 above the horizontal. The plane rises at a constant velocity in the vertical direction while continuing to accelerate in the horizontal direction. (HINT: In the vertical direction there is no acceleration, which means no net force. The weight of the plane balances the vertical component of the lift exactly. a) 7953 Kg & b) 5.66m/s2)
a. What is the mass of the plane?
b. What is the horizontal acceleration?
4) A 200 Newton block is suspended by 3 cables, as in the figure above. Find the tension in each cable.
(148.4 N, 79.0 N, 200N)
5) Two masses are connected by massless rope 1 going over a massless, frictionless pulley.
Mass 2 rests on a frictionless plane with an incline θ.
a. If rope 2 is attached to the ground, what is the tension in both ropes? { T1 = m1g , T2 = ( m1 - m2sinθ)g }
b. For what values of m1, m2 and θ are these equations valid?
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Newton’s Laws & Friction Problems (Contd.)
6) Find the normal forces acting on the ball at points A and B. The mass of the sphere is 10.0kg. (FA=56.6N , FB= 113N )
7) Fluffy dice of mass m hang from the rear view mirror of a car. Find the acceleration of the car (constant) given the angle the massless cord makes with the vertical. (Hint: What forces act on the dice to make them move? Given an angle theta, the dice move with the same acceleration as the car. ) (a = gtanθ)
8) The coefficient of static friction between your hand and a pie plate is about (0.8). If you want to put a cream pie in someone's face, what minimum acceleration do you need to keep it from sliding down your vertical hand? (Hint: There must be no motion in the y direction. ) (12.3m/s2)
9) The coefficient of kinetic friction between the block and the ramp is (0.20). The pulley is frictionless.
a. What is the acceleration of the system? (4.12 m/s2)
b. What is the Tension in the rope? (114 N)
10) What is the expression for the the acceleration of the blocks ''a'' and tension in the string ''T''? Assume:
1. m2>m1
2. System is in motion to the right
3. Coefficient of kinetic friction equal for both blocks (μ)
b. Show that the expression for acceleration obtained in part a. reduces to the proper equation if m1 = 0!