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The problem involves a car with mass 4m and a block of mass m attached via a spring with spring constant k, initially at rest. A bullet of mass m is fired at the block, and the task is to determine the car's velocity at maximum spring compression and the maximum compression of the spring. The surfaces are frictionless, and the wheels are massless, simplifying the dynamics of the system.

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2 views1 page

Doc14

The problem involves a car with mass 4m and a block of mass m attached via a spring with spring constant k, initially at rest. A bullet of mass m is fired at the block, and the task is to determine the car's velocity at maximum spring compression and the maximum compression of the spring. The surfaces are frictionless, and the wheels are massless, simplifying the dynamics of the system.

Uploaded by

excellab101
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Problem 93.

A car of mass 4 m holds a block of mass m which is attached to


the former by means of a spring of spring constant k , as shown in the
diagram. All surfaces are frictionless and the wheels are massless. The
system is at rest. A bullet of mass m is fired at the first block with a
horizontal velocity v 0 and sticks to it. Find:
(a) the velocity of the car at the moment when the spring undergoes
maximum compression.
(b) the maximum compression of the spring.

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