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December 20, 2014

December 20, 2014

Posted by **Drew** on Friday, May 30, 2014 at 10:23pm.

- Physics -
**MathMate**, Saturday, May 31, 2014 at 6:47ammass, m = 2.5 kg

spring constant, k = 320 N/m

compression of spring, Δx = 0.075 m

Coefficient of kinetic friction, μ_{k}= 0.25

acceleration due to gravity, g = 9.8 m/s²

Let

initial velocity of block, u =u m/s

final velocity of block, v = 0 m/s

Work done by block, W

= loss of KE

= (1/2)mu²

Work done by friction, Wf

= μ_{k}mgΔx

Work done by spring, Ws

= (1/2)kΔx²

Equate total work:

W=Wf+Ws

(1/2)2.5u²=0.25*2.5*9.8*0.075+(1/2)*320*0.075²

Solve for u=3.157 m/s

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