1. Two carts are on a frictionless and horizontal air track, with the +
x
direction to the right as shown. Cart
A1
x
A2
x
A has an initial velocity
v
= 9.00 m/s and a final velocity of
v
, while cart B is initially stationary. The
AB
mass of cart A is onefifth that of cart B,
m
=
m
/5. For parts a) and b) the collision is completely
inelastic, while for parts c) and d) the collision is elastic.
x
a) Find
v
for the completely inelastic collision.
1.50 m/s
b) What percentage of the initial kinetic energy is lost during this completely inelastic collision?
83.3 %
x
c) Find
v
for the elastic collision.
!
6.00 m/s
d) Now assume that the elastic collision is caused by a rubber band between the carts that has a spring
AA
constant
k
= 15,000
m
(N/m), where
m
is the mass of cart A.
Determine the maximum compression of
the rubber band during the elastic collision.
0.0671 m
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View Full Document2. Fill in the blank with the most appropriate answer to the following questions.
a) A bullet of mass 5.00 g traveling horizontally with a speed of 420 m/s, is fired into a wooden block
with mass of 0.620 kg that is initially at rest on a level surface. The bullet passes through the block and
emerges with its speed reduced to 320 m/s. The block slides a distance of 25.0 cm along the surface from
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 Spring '08
 Chamberlin
 Physics, Friction, Kinetic Energy, Mass, Velocity, completely inelastic collision

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