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PHCC 141: Physics for Scientists and Engineers I  Fall 2007
8a. Momentum and Impulse
Due at 11:59pm on Friday, October 12, 2007
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Conservation of Momentum in one dimension
A OneDimensional Inelastic Collision
Block 1, of mass
= 5.30
, moves along a frictionless air track with speed
= 17.0
. It collides with block 2, of mass
= 11.0
, which was initially at rest. The blocks stick together after the collision.
Part A
Find the magnitude
of the total initial momentum of the twoblock system.
Hint A.1
How to approach the problem
Find the initial momentum of each block separately; then add the two momenta together. Recall that momentum is equal to
mass times velocity:
.
Express your answer numerically.
ANSWER:
=
90.1
Part B
Find
, the magnitude of the final velocity of the twoblock system.
Hint B.1
How to approach the problem
Apply conservation of momentum, keeping in mind that the mass after the collision is the sum of the individual blocks'
masses.
Express your answer numerically.
ANSWER:
=
5.53
Part C
What is the change
in the system's kinetic energy due to the collision?
Part C.1
Find the initial kinetic energy
Find
, the initial kinetic energy of the system.
Express your answer numerically in joules.
ANSWER:
=
766
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MasteringPhysics: Assignment Print View
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12/19/2007 2:45 AM
Express your answer numerically in joules.
ANSWER:
=
517
J
A Game of Frictionless Catch
Chuck and Jackie stand on separate carts, both of which can slide without friction. The combined mass of Chuck and his cart,
, is identical to the combined mass of Jackie and her cart. Initially, Chuck and Jackie and their carts are at rest.
Chuck then picks up a ball of mass
and throws it to Jackie, who catches it. Assume that the ball travels in a straight line
parallel to the ground (ignore the effect of gravity). After Chuck throws the ball, his speed relative to the ground is
. The speed
of the thrown ball relative to the ground is
.
Jackie catches the ball when it reaches her, and she and her cart begin to move. Jackie's speed relative to the ground after she
catches the ball is
.
When answering the questions in this problem, keep the following in mind:
The original mass
of Chuck and his cart does not include the mass of the ball.
1.
The speed of an object is the magnitude of its velocity. An object's speed will always be a nonnegative quantity.
2.
Part A
Find the relative speed
between Chuck and the ball after Chuck has thrown the ball.
Hint A.1
How to approach the problem
All this question is asking is: "How fast are Chuck and the ball moving away from each other?" If two objects are moving at
the same speed (with respect to the ground) in the same direction, their relative speed is zero. If they are moving at the same
speed,
, in opposite directions, their relative speed is
. In this problem, you are given variables for the speed of Chuck and
the ball with respect to the ground, and you know that Chuck and the ball are moving directly away from each other.
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 Physics, Kinetic Energy, Momentum, Assignment Print View, Jackie, chuck

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