AP Free Response Question
2002 Form B - B1
Printer Friendly Version
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).
Topic Formulas
Description
Published Formula
impulse
linear momentum
Related Documents
Lab:
Labs -
A Battering Ram
Labs -
A Photoelectric Effect Analogy
Labs -
Air Track Collisions
Labs -
Ballistic Pendulum
Labs -
Ballistic Pendulum: Muzzle Velocity
Labs -
Bouncing Steel Spheres
Labs -
Collision Pendulum: Muzzle Velocity
Labs -
Conservation of Momentum
Labs -
Conservation of Momentum in Two-Dimensions
Labs -
Impulse
Labs -
Inelastic Collision - Velocity of a Softball
Labs -
Rube Goldberg Challenge
Labs -
Spring Carts
Labs -
Video LAB: Ball Re-Bounding From a Wall
Labs -
Video Lab: Blowdart Colliding with Cart
Labs -
Video Lab: Cart Push #2 and #3
Labs -
Video Lab: M&M Collides with Pop Can
Labs -
Video Lab: Marble Collides with Ballistic Pendulum
Resource Lesson:
RL -
A Further Look at Impulse
RL -
Famous Discoveries: The Franck-Hertz Experiment
RL -
Linear Momentum
RL -
Momentum and Energy
RL -
Springs and Blocks
RL -
Symmetries in Physics
Worksheet:
APP -
Puppy Love
APP -
The Jogger
APP -
The Pool Game
APP -
The Raft
CP -
Conservation of Momentum
CP -
Momentum
CP -
Momentum and Energy
CP -
Momentum and Kinetic Energy
CP -
Momentum Practice Problems
CP -
Momentum Systems and Conservation
NT -
Ice Boat
NT -
Momentum
WS -
Advanced Properties of Freely Falling Bodies #1
WS -
Advanced Properties of Freely Falling Bodies #2
WS -
Advanced Properties of Freely Falling Bodies #3
WS -
Charged Projectiles in Uniform Electric Fields
WS -
Force vs Displacement Graphs
WS -
Practice: Momentum and Energy #1
WS -
Practice: Momentum and Energy #2
CB-ETS
Copyright © 1970-2022
All rights reserved.
Used with
permission
Mainland High School
Daytona Beach, FL 32114