(ii) A bullet of mass m is fired vertically from below and into a thin block of wood of mass M that is initially at rest, supported by a thin sheet of paper. The bullet blasts through the block, and the block rises to a height of H above its initial position before falling. The bullet continues after passing through the block and rises a height of h before falling. In the questions below, the answers should be expressed only in terms of the parameters of m, M, h, H and g. Find expressions for the upward velocities of the bullet vm and the block VM immediately after the bullet exits the block. (a) Use conservation of momentum to express the speed of the bullet v, before it enters the block of wood. (b) Obtain expressions for the mechanical energies of the system E, before and Er after the inelastic collision between the bullet and the block. (c) (d) Express the energy dissipated in the block.

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Chapter9: Linear Momentum And Collisions
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help with part ii would be gr8

1. (1) A block and a handgun loaded with one bullet are firmly affixed to the opposite ends
of a massless cart that rests on a frictionless air table (see Figure 1 below). The
mass of the handgun is mg, the mass of the bullet is mb, and the mass of the block
is mok. The gun is aimed so that when fired, the bullet will go into the block. (Take
the fall of the bullet due to gravity to be negligible, and its penetration into the block
to be small.) When the bullet leaves the barrel of the handgun, it has a velocity Vo
relative to the frictionless air table.
Mass = myk
Mass = mg
Mass = 0
Figure 1
(a)
What is the velocity of the cart immediately after the bullet leaves the gun
barrel, and immediately after the bullet comes to rest in the block?
(b)
How far has the block moved from its initial position by the time the bullet
comes to strikes the block?
(ii) A bullet of mass m is fired vertically from below and into a thin block of wood of
mass M that is initially at rest, supported by a thin sheet of paper. The bullet blasts
through the block, and the block rises to a height of H above its initial position
before falling. The bullet continues after passing through the block and rises a
height of h before falling. In the questions below, the answers should be
expressed only in terms of the parameters of m, M, h, H and g.
Find expressions for the upward velocities of the bullet vm and the block VM
immediately after the bullet exits the block.
(a)
(b)
Use conservation of momentum to express the speed of the bullet v; before it
enters the block of wood.
(c)
Obtain expressions for the mechanical energies of the system E, before and
Er after the inelastic collision between the bullet and the block.
(d)
Express the energy dissipated in the block.
Transcribed Image Text:1. (1) A block and a handgun loaded with one bullet are firmly affixed to the opposite ends of a massless cart that rests on a frictionless air table (see Figure 1 below). The mass of the handgun is mg, the mass of the bullet is mb, and the mass of the block is mok. The gun is aimed so that when fired, the bullet will go into the block. (Take the fall of the bullet due to gravity to be negligible, and its penetration into the block to be small.) When the bullet leaves the barrel of the handgun, it has a velocity Vo relative to the frictionless air table. Mass = myk Mass = mg Mass = 0 Figure 1 (a) What is the velocity of the cart immediately after the bullet leaves the gun barrel, and immediately after the bullet comes to rest in the block? (b) How far has the block moved from its initial position by the time the bullet comes to strikes the block? (ii) A bullet of mass m is fired vertically from below and into a thin block of wood of mass M that is initially at rest, supported by a thin sheet of paper. The bullet blasts through the block, and the block rises to a height of H above its initial position before falling. The bullet continues after passing through the block and rises a height of h before falling. In the questions below, the answers should be expressed only in terms of the parameters of m, M, h, H and g. Find expressions for the upward velocities of the bullet vm and the block VM immediately after the bullet exits the block. (a) (b) Use conservation of momentum to express the speed of the bullet v; before it enters the block of wood. (c) Obtain expressions for the mechanical energies of the system E, before and Er after the inelastic collision between the bullet and the block. (d) Express the energy dissipated in the block.
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