A rifle bullet with mass m is fired horizontally with speed v0 when it hits a wooden block of mass 100m resting on a horizontal frictionless table, with heighth above the floor. The bullet embedded to the block, slides off the table and hits the floor a distance x from the edge of the table. 100m

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A rifle bullet with mass m is fired horizontally
with speed v0 when it hits a wooden block of
mass 100m resting on a horizontal frictionless
table, with height ʼn above the floor. The bullet
embedded to the block, slides off the table
and hits the floor a distance x from the edge of
the table.
m
100m
a. Derive an expression for the speed of the
bullet-block system as it leaves the table.
b. Derive an expression for the change in
kinetic energy of the bullet-block system
during impact.
c. Find the distance x.
d. Suppose that the bullet passes through the
block instead of being embedded. Is the
distance x for the block would now be greater,
less, or the same from [c]? Why?
Transcribed Image Text:A rifle bullet with mass m is fired horizontally with speed v0 when it hits a wooden block of mass 100m resting on a horizontal frictionless table, with height ʼn above the floor. The bullet embedded to the block, slides off the table and hits the floor a distance x from the edge of the table. m 100m a. Derive an expression for the speed of the bullet-block system as it leaves the table. b. Derive an expression for the change in kinetic energy of the bullet-block system during impact. c. Find the distance x. d. Suppose that the bullet passes through the block instead of being embedded. Is the distance x for the block would now be greater, less, or the same from [c]? Why?
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