A mass of 100 kg is being pushed along the floor at a constant velocity of 2 m/s. If the coefficient of kinetic friction is 0.25, at what rate is work (power) being done in watts, in horsepower?
Gives
Mass(m)=100kg
μ=0.25\mu=0.25μ=0.25
Velocity (v)=2m/secm/secm/sec
F=μR=μmgF=\mu R=\mu mgF=μR=μmg
F=0.25×100×9.8=245N0.25\times100\times 9.8=245N0.25×100×9.8=245N
Power
P=F.vP=F.vP=F.v
dWdt=P=245×2cos0°\frac{dW}{dt}=P=245\times2\cos0°dtdW=P=245×2cos0°
dWdt=P=490W\frac{dW}{dt}=P=490WdtdW=P=490W
dWdt=P=490746hp=0.6568hp\frac{dW}{dt}=P=\frac{490}{746} hp=0.6568hpdtdW=P=746490hp=0.6568hp
1 hp=746W
P=dWdt=0.6568hpP=\frac{dW}{dt}=0.6568hpP=dtdW=0.6568hp
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