A bullet of mass m is moving horizontally with speed
vo when it hits a block of mass 100m that is at rest on a
horizontal frictionless table, as shown. The surface of the
table is a height h above the floor. After the impact, the
bullet and the block slide off the table and hit the floor a
distance x from the edge of the table. Derive expressions
for the following quantities in terms of m. h. vo, and
appropriate constants: (a) the speed of the block as it
leaves the table, (b) the change in kinetic energy of the
bullet-block system during impact, and (c) x.
Suppose that the bullet passes through the block instead of
remaining in it. (d) State whether the time required for the
block to reach the floor from the edge of the table would
now be greater, less, or the same. Justify your answer.
(e) State whether the distance x for the block would now be
greater, less, or the same. Justify your answer.