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A 0.76 kg ball is dropped from a height of 22 m. It strikes the ground with an impact speed of 15.6 m/s. The acceleration of gravity is 9.8 m/s². How much mechanical energy is lost to non- conservative forces? Answer in units of J. Answer in units of J.​

User Executifs
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1 Answer

7 votes

Answer:

71 J

Step-by-step explanation:

You want the energy lost to non-conservative forces when a 0.76 kg ball is dropped from a height of 22 m and impacts the ground at 15.6 m/s.

Potential energy

The potential energy of the ball is ...

PE = mgh

PE = (0.76 kg)(9.8 m/s²)(22 m) = 163.856 J

Kinetic energy

The kinetic energy the ball has when it strikes the ground is ...

KE = 1/2mv²

KE = 1/2(0.76 kg)(15.6 m/s)² = 92.4768 J

Lost Energy

The energy lost during the fall is ...

PE -KE = lost energy

163.856 -92.4768 = 71.3792 . . . joules

About 71 joules of mechanical energy is lost.

A 0.76 kg ball is dropped from a height of 22 m. It strikes the ground with an impact-example-1
User Jojje
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