Question
Medium
Solving time: 3 mins
A bullet is fired horizontally with a speed of into a block sitting on a table top; the bullet lodges in the block . If the coefficient of kinetic friction between the block and the table top is , what is the distance the block will slide?
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Text solutionVerified
By conservation of momentum, the momentum of the block bullet system just after the interaction is
where, is the mass of bullet and is its velocity before striking the block.
Hence, the kinetic energy of the system just after the lodging of bullet into the block is
The friction force does work
In stopping the block, where is the distance traversed by block-bullet system on the tabletop.
From work-energy theorem,
where, is the mass of bullet and is its velocity before striking the block.
Hence, the kinetic energy of the system just after the lodging of bullet into the block is
The friction force does work
In stopping the block, where is the distance traversed by block-bullet system on the tabletop.
From work-energy theorem,
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Question Text | A bullet is fired horizontally with a speed of into a block sitting on a table top; the bullet lodges in the block . If the coefficient of kinetic friction between the block and the table top is , what is the distance the block will slide? |
Topic | Motion in a Plane |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 |
Upvotes | 93 |