A block of mass 20 kg is moved with constant velocity along an inclined plane of inclination 37 degree with the help of a force of constant power 50 words if the coefficient of kinetic friction between block and surface is 0.25 then find the fraction of power is used against Gravity
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From equilibrium of forces along the incline,
mgsinθ + mgcosθ = F
⇒ F= 160N
Power=Fv=constant=50W
⇒ v= 5/16 m/s
Power used against gravity= Fv =mgsinθ v = 37.5W
Hence fraction of power used= 37.5/50 = 3/4
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