A 10.0-g bullet is fired into, and embeds itself in, a 1.95-kg block attached to a spring with a force constant of 23.9 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block and the block slides on a frictionless surface

0.43 m

Explanation:

Given

mass of bullet

mass of block

The Force constant of spring is

Speed of bullet is

Conserving the energy i.e. kinetic energy of the bullet and box is converted into Elastic potential energy of spring

Conserving linear momentum

Put the value of we get

Thus, spring will be compressed to a distance of

the device is called “ rocket engine”

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