Name_
Date_per_
AP Physics: Newtons Second Law and the Atwoods Machine
Purpose: To GRAPHICALLY determine the TOTAL MASS of a system.
Materials: Atwoods machine, string, stopwatch, paperclips, known masses
An Atwood's machine is a device
where two masses,
LeversandStaticEquilibrium
1) Intheleversystemshownbelow,theplankhasamassof10kgandlengthof5m.
60kg
m
2.6m
0.9m
0.9m
0.3 m
a) Forwhatrangeofmasses,m,willthesystemremainbalanced?
b) Determinethenormalforceexertedbyeachofthefulcrumsforthecasewherem=30
kg.
AN
Name:
Forest Hills High School
AP Physics C
Date:
AP Physics HW # 2- Dot Products
1. For A=4 + 3 and B = - + 3, find
a) AB
b) Find the angle between vectors A and B.
2. Recall that work is the dot product between a force and displacement vector.
As a part
Name:
Forest Hills High School
AP Physics C
Date:
Homework#5- Methods of Motion
1. An airplane takes off 550 miles north of K-town and undergoes a displacement of 225 miles
north to its first stop. It then undergoes another displacement of 880 miles south
Name:
Forest Hills High School
AP Physics C
Date:
AP Physics HW #3-Cross Products
1. Given u = i - 2j + k and v = 3i + j - 2k, find each of the following.
a. u v
b. v u
c. v v
2. Given the vectors
this vector is orthogonal to
and
and
. Also, find the vect
Name:
Forest Hills High School
AP Physics C
Date:
Homework#5- Methods of Motion
1. An airplane takes off 550 miles north of K-town and undergoes a displacement of 225 miles
north to its first stop. It then undergoes another displacement of 880 miles south
Name:
Forest Hills High School
HW#14
1. Suppose there is a stack of ten books on the floor. Each book has a mass of 1.40 kg. (a) Determine
the force that the eighth book exerts on the ninth book. (count up from the bottom) (b) Determine the
force that the
Name:
Forest Hills High School
AP Physics C
Date:
AP Physics C Kinematics HW#7
1. Starting from rest a cyclist coasts down a long hill with a uniform acceleration of 0.50 m/s2. At a
particular point the cyclists notes his speed is 5.0 m/s. (a) How far had
Name:
Forest Hills High School
AP Physics C
9/14/12
Homework # 4
Find the derivative of the following functions:
(In class, we differentiated position functions of time x(t). These functions are just general functions.
Dont let the change in letters confu
Name:
Forest Hills High School
AP PHYSICS C HW # 8 Integration
1. An object moves along the y-axis in such a way that its acceleration in an upward direction is given by:
a = 5 t 2, where a is acceleration in m/s and t is time in seconds. At t = 4.0 s, th
1. Starting from rest a cyclist coasts down a long hill with a uniform acceleration of 0.50 m/s2. At a
particular point the cyclists notes his speed is 5.0 m/s. (a) How far had he rolled at that point? (b) How
far does the he move in the next 10.0 s?
2. I
1. An object with mass 3.00 kg moves along the x-axis and is subject to a net force in newtons given by:
F(x) = 2x 4x3, where x is position in meters. The object is placed at x = 1.00 m and released from rest.
(a) Determine a potential energy function U(x
HW#27-AP Physics C-Keplers Laws (Questions 1-2), Gravitation (Questions 3-7)
1. Two planets travel in circular orbits around a star. Planet A has speed v and planet B has speed 3v. (a)
Find the ratio of the two planets orbital radii. (b) Find the ratio of
AP Physics C HW # 18-Drag Forces
1. A rock of mass 0.400 kg is released from the surface and sinks in the ocean. As the rock descends it is
acted upon by three forces: gravity, buoyancy, and drag. The buoyancy is an upward force equal to half
its weight.
Name:
Forest Hills High School
AP Physics C
Date:
HW#10
1. A quarterback throws a football at 20.0 m/s, 50.0 which is caught in stride by a receiver running
directly away from him at 9.0 m/s. (a) Determine the time the ball is in the air. (b) Determine th
Name:
Forest Hills High School
AP Physics C
Date:
HW #11
1. Describe the type of path that must be followed by an object moving in the absence of force.
Explain.
2. Must an object always move in the direction of the net force acting upon it? Explain and g
Name:
Forest Hills High School
AP Physics C
Date:
AP Physics HW #1
1.If the magnitudes of three vectors are A = 10 m, B = 10 m, C = 10 m, draw a vector diagram to
illustrate how the magnitude of their resultant can be a) 0 m, b) 10 m, c) 20 m, d) 30 m.
2.
Rotational Motion HW#24
Rotational Kinematics and Torque
1. An old record turntable is set for 45.0 rpm. Starting from rest it takes 1.50 seconds for the
turntable to attain this rate. (a) Determine the angular speed of the turntable when it turns at 45.0
HW#16-Friction
1. Two boys stand on the surface of a frozen lake where s = 0.15 and k = 0.10. The 30.0 kg boy shoves
the 40.0 kg boy with a horizontal force of 50.0 N, 0.0. Find the resulting acceleration of each boy.
2. A man of mass 80.0 kg pushes horiz
HW#21
1. A lab cart A of mass 1.50 kg traveling at 3.00 m/s, 0 collides with a cart B of mass 0.50 kg traveling at
1.00 m/s, 0. After the collision, cart A has velocity 2.00 m/s, 0. (a) Find the total momentum of the
system. (b) Find the amount of momentu
HW#20
1. A boy kicks a rolling ball of mass 405 g such that its velocity changes from 2.00 m/s, 0.0 to 15.0 m/s,
0.0. The boys foot exerts an average force of 575 N, 0.0 on the ball during the kick. (a) Find the
change in momentum of the ball. (b) Find th
Name:
Forest Hills High School
AP Physics
Date:
HW#6-Motion Graphs
1. The following graph shows the motion of a skydiver. (a) Find average velocity during the 12 s
shown on the graph. (b) Find the speed at t = 2 s. (c) Find the maximum speed. (d) Does the
Name:
AP Physics C
Forest Hills High School
Date:
HW#9 Projectiles Launched Horizontally
1. A boy throws a pebble horizontally with speed 12 m/s from a bridge that is 8.0 m above the water. (a)
How much time is the pebble in the air? (b) How far is the pe
Name:
Forest Hills High School
HW #23
1. Two objects are located on the x-axis: mA = 2.0 kg, xA = 3.0 m; mB = 7.0 kg, xB = 4.0 m. (a) Find the
center of mass of the two objects. (b) An additional mass mC = 5.0 kg would need to be located where
in order to
Name:
Forest Hills High School
AP Physics C
Date:
HW#13
1. Two objects are connected by a cord of negligible mass that passes over a massless, frictionless
pulley as shown below. When the two objects are released, the object with mass 700.0 gram
accelerat
HW#28
GRAVITATIONAL FIELDS
1. (a) Calculate g for the surface of Mercury. (b) Repeat for Mars. (c) Explain in words how these values
can be so close to one another although Mars is much larger than Mercury.
2. Find the value of the gravitational field at
AP Physics C HW#30-Simple Pendulum
1. A pendulum is formed by hanging a small mass of 50.0 grams on the end of a string that is 2.50 m
long. The mass is pulled back so that the string forms a 5.0 angle with the vertical and then it is
released. (a) Find t
HW#26
1. A solid disk of mass 200.0 g and radius 10.0 cm is rotating freely about a vertical axis through its
center at 20.0 rpm. A ring of mass 100.0 g and radius 5.00 cm that is not rotating is centered above the
spinning disk and dropped onto it. The r
Study Guide Answers
Free Response # 1
a) Use a =v/t to find that a=2.4 m/s2
b) Find the distance the car travels using d=v it + 1/2at2 and d= 95 m
Now use v = d/t to find velocity of truck and find v = 19 m/s
Free Response # 2
a) Use vf =vi +at to find vf