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 h 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.   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?

University Physics Volume 1
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Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 37P: The figure below shows a bullet of mass 200 g traveling horizontally towards the east with speed 400...
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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 h 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.

 

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?

A rifle bullet with mass m is fired horizontally with speed v, when it hits a wooden block of mass 100m resting on a horizontal
frictionless table, with height h 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.
8.
100m
а.
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.
с.
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 v, when it hits a wooden block of mass 100m resting on a horizontal frictionless table, with height h 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. 8. 100m а. 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. с. 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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