An object with a mass of #5 kg# is moving at #9 m/s# over a surface with a kinetic friction coefficient of #4 #. How much power will it take to accelerate the object at #3 m/s^2?

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Answer 1 · 2017-05-20T17:04:33

The power is #=1899W#

The normal reaction is #N=mg=5gN#

The frictional force

#F_r=mu_k.N#

#F_r=4*5g N#

Let the force necessary to accelerate the object be #F#

Then,

#F=F_r+m*a#

#=20g+5*3#

#=211N#

The power is

#P=Fv#

#=211*9#

#=1899W#