A wooden block and a gun are firmly fixed to opposite ends of a long glider mounted on a frictionless air track. The block and gun are a distance L apart. The system is initially at rest. The gun is fired and the bullet leaves the gun with a velocity vb and impacts the block, becoming imbedded in it. The mass of the bullet mb and the mass of the gun-glider-block system is mp.
a. What is the velocity of the glider immediately after the bullet is fired?
b. What is the velocity of the glider immediately after the bullet comes to rest in the block?
c. How far does the glider move while the bullet is in transit between the gun and the block?
The Attempt at a Solution
(The bullet is fired in the positve x direction)
a. I found the the velocity of the glider after the gun is fired as (-mbvbx)/mp.
b. The velocity of the glider after the bullet becomes embedded in the block should be zero.
c. After putting my algebra skills to the test, I found that the glider is displaced -mbL/(mp+mb).
My problem is with C it appears the units are correct in this answer but I am not confident in that the velocity of the bullet is not contained in the equation. Is this answer possible?