(A) An object of mass 2.7kg is moving in the negative x direction at a velocity
ID: 1348263 • Letter: #
Question
(A) An object of mass 2.7kg is moving in the negative x direction at a velocity of 2.5m/s. It experiences the force shown above for 3s. What is the final velocity after the object has experienced the impulse?
(B) A superball and a clay ball are droped from a height of 10cm above a table top. They have the same mass 0.05kg and the same size. The superball bounces off the table and rises back to the same height. The clay ball sticks to the table. Match the shapes of the forces exerted on the superball and the clay ball by the table as a function of time.
- Superball a- Blue dotted line (right)
- Clay ball b-Red dashed line (right)
c-Black dotted line (left)
d-Black dot-dash line (left)
e-Black dot-dash line (left)
f-Green solid line (right)
g-Yellow solid line (left)
h-Cyan dashed line (left)
(C) For the superball in the previous question, if it was in contact with the table for 31ms, calculate the average force exerted on the ball by the table.
Hint: First calculate the momentum before and after hitting the table. Don't forget the gravitational force.
(D) For the clay ball in the previous question, calculate the magnitude of the impulse exerted on the clay ball. (Please don't use a sign, which hasn't been defined anyway, and don't enter units, you did that in the first question.)
(E) If the collision of the clay ball with the table takes the same time as the collision of the superball, compare the average force exerted by the table on the clay ball to that exerted on the superball. Which is larger or are they the same?
a-Not enough information
b-The average force on superball is larger
c-The forces are the same
d-The average force on clay ball is larger
(F) Suppose that the clay has twice the mass and is dropped from the same height. Compare the impulse exerted on the ball by the table to that with the smaller clay ball.
a-The heavier clay ball has the larger impulse.
b-Not enough information.
c-They have the same impulse because the height is the same
d-The smaller clay ball has the larger impulse.
(G) Suppose that the original clay ball is dropped from twice the height. Compare the impulse exerted on the ball by the table to that for the smaller height.
a-The impulse will be 4 times smaller.
b-The impulse will be 1.41 times larger
c-The impulse will be 2 times smaller
d-The impulse will be 2 times larger.
e-The impulse will be 1.41 times smaller
f-The impulse will be 4 times larger
LL L Time (s) Time (s)Explanation / Answer
A.
mass m = 2.7 kg, Initial velocioty u = -2.5 m / s, force F = 4 N, and time t= 3 s
The impulse is,
J = Ft = 12 N s
m ( v - u ) = 12
Therefore, the final velocity is,
v = ( 12 / m) + u = 1.94 m/ s
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