An object with a mass of #5 kg# is moving at #5 m/s# over a surface with a kinetic friction coefficient of #6 #. How much power will it take to accelerate the object at #3 m/s^2?

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Answer 1 · 2017-03-30T14:40:41

The power is #=1545W#

The frictional force is related to the normal force

#F_r=mu_k*N#

#N=5gN#

#mu_k=6#

#F_r=6*5g=30gN#

To accelerate the object, we need the force, #F#

#F-F_r=m*a#

#a=3ms^-2#

#F-30g=5*3=15#

#F=15+30g#

The power is related to the velocity

#P=F*v#

#v=5ms^-1#

#P=(15+30g)*5=1545W#