Question

In: Physics

A 0.454-kg block is attached to a horizontal spring that is at its equilibrium length, and...

A 0.454-kg block is attached to a horizontal spring that is at its equilibrium length, and whose force constant is 25.0 N/m. The block rests on a frictionless surface. A 5.80×10−2-kg wad of putty is thrown horizontally at the block, hitting it with a speed of 8.96 m/s and sticking. How far does the putty-block system compress the spring?

Solutions

Expert Solution

Step 1 of 2

The speed of the putty-block system just after the collision can be determined using law of conservation of linear momentum.

The initial momentum of the putty-block system = Final momentum of the system putty-block system

where,

Step 2 of 2

We know that from the law of conservation of energy the potential energy of the spring after compression is equal to the kinetic energy of the putty-block system.

  

Therefore, the putty-block system compresses the spring by 14.5 cm.

genius_generous answered 1 year ago
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