Exercise 7.26 A 3.00kg block on a horizontal floor is attached to a horizontal s

Question

Exercise 7.26

A 3.00kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0380m . The spring has force constant 815N/m . The coefficient of kinetic friction between the floor and the block is 0.39 . The block and spring are released from rest and the block slides along the floor.

Part A

What is the speed of the block when it has moved a distance of 0.0200m from its initial position? (At this point the spring is compressed 0.0180m .)

Express your answer with the appropriate units.

.87ms

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Exercise 7.26

A 3.00kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0380m . The spring has force constant 815N/m . The coefficient of kinetic friction between the floor and the block is 0.39 . The block and spring are released from rest and the block slides along the floor.

Part A

What is the speed of the block when it has moved a distance of 0.0200m from its initial position? (At this point the spring is compressed 0.0180m .)

Express your answer with the appropriate units.

.87ms

SubmitMy AnswersGive Up

Incorrect; One attempt remaining; Try Again

Explanation / Answer

By conservation of energy and the work-energy theorem...

The initial PE will equal the final PE + KE + work lost by friction...

.5kx2 = .5kx'2 + .5mv2 + umgd

(.5)(815)(.038)2 = (.5)(815)(.018)2 + (.39)(3)(9.8)(.02) + .5(3)(v2)

v = .389 m/s

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