How much power,( answer given in both watts and HP ), must you exert horizontall

Question

How much power,( answer given in both watts and HP ), must you exert horizontally to drag a 25kg table, 10m across a brick floor in 30s at a constant speed if the coefficient of kinetic friction is 0.550 ? b) If the table were accelerated by 0.5m/s^2 while being dragged, what would be the maximum HP needed?

Explanation / Answer

a) THE WORK DONE WILL BE GIVEN BY >>W=coefficient of kinetic friction*N*d where N=mg=250 Newton;; d=10m => W=1375 J; Power=W/t=45.833 watt=0.0614 HP b) If acceleration=0.5m/s^2 ; at the end of 30s the distance covered will be given by d=1/2 *a *t^2 d= 1/2*0.5*900=225m...............so work done W=coefficient of kinetic friction*N*d=250*225*0.55=30937.5J; ......Power=W/t=1031.25 watt=1.3818 HP(maximum HP needed)

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