What length would the object have to slide along the ramp? (question 2)

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1 Answer
Mar 29, 2018

See below.

Explanation:

Item 1B)

Object potential energy

Ep=mgh0

Slide along the ramp

d0 such that h0d0=sinθ

Friction force

f=μmgcosθ

Friction work

Ef=f×d0=μmgcosθd0

Spring accumulated potential energy

Es=12Kx20

so we have

Ep=Ef+Es or

mgh0=μmgd0cosθ+12Kx20 or

mgd0sinθ=μmgd0cosθ+12Kx20

and finally

d0=(12Kx20)/(mg(sinθμcosθ))