# 89. A 5.00-g bullet mov-AMT ing withM speed of v; = 400 m/sis fired into and passesVian initial1.00-kgblock as shown in Fig-ure P9.89. The block,initially at rest on africtionless, horizontalsurface, is connectedto a spring with forceN/m.throughaFigure P9.89900constantThe block moves d = 5.00 cm to the right after impactbefore being brought to rest by the spring. Find (a) thespeed at which the bullet emerges from the block and(b) the amount of initial kinetic energy of the bulletthat is converted into internal energy in the bullet-block system during the collision.

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Step 1

Consider the bullet’s mass be m, the block’s mass be M, the initial speed of the block be vbi, and the initial speed of the block be vbf.

The given values are,

Step 2

(a)

After the bullet enters the block, the kinetic energy of the block will conserve into the spring.

Apply energy conservation on spring block system after the bullet enters the block, and solve for the final speed of the block.

Step 3

Apply momentum conservation on the bullet-block system, and solve f...

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