physics 221
posted by Anonymous .
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An 8.61kg block slides with an initial speed of 1.72 m/s down a ramp inclined at an angle of 27.4° with the horizontal. The coefficient of kinetic friction between the block and the ramp is 0.73. Use energy conservation to find the distance the block slides before coming to rest.

ΔKE+ΔPE=W(fr)
m•v²/2+m•g•s•sinα = μ•m•g•s•cosα
s=v²/2g(μ•cosα sinα) = 1.72²/2•9.8(0.73•cos27.4 –sin27.4)=0.8 m