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1. The lead female character in the movie Diamonds Are Forever is standing at th

ID: 1780757 • Letter: 1

Question

1. The lead female character in the movie Diamonds Are Forever is standing at the edge of an offshore oil rig. As she fires a gun, she is driven back over the edge and into the sea. Suppose the mass of a bullet is 0.008 kg, and its velocity is +722 m/s. Her mass (including the gun) is 56 kg.

2. A 0.029 kg bullet is fired straight up at a falling wooden block that has a mass of 4.0 kg. The bullet has a speed of 770 m/s when it strikes the block. The block originally was dropped from rest from the top of a building and had been falling for a time t when the collision with the bullet occured. As a result of the collision, the block (with the bullet in it) reverses direction, rises, and comes to a momentary halt at the top of the building. Find the time t.
s

3. A 1055-kg van, stopped at a traffic light, is hit directly in the rear by another car. Assume that the transmission of the van is in neutral, the brakes are not being applied, and the collision is elastic. If the final velocity of the van is 3 m/s, and the final velocity of the car is -0.4 m/s, what is the mass of the car
kg
and what was its initial velocity?
m/s

Explanation / Answer

conversation of momentum

inital momentum=0

final momentum=0.008*722m/s/56kg v=0

v=5.776/56kg

=0.103m/sec

b)v(f)=v(b)m(b)/m(f)

=722*5*10^-5/56

=0.0361/56

=6.44*10^-04

2)vi of block when the collision occurs=vi+gt=gt=-9.8t

this must equal the speed of the bullet plus block after because the system goes to the same height so vf=+9.8t

now use conversation of momentum=770*0.029+4(-9.8)=(4+0.029)(9.8)t

=-16.87=39.48t

t=0.4273

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