An object with a mass of #12 kg# is moving at #9 m/s# over a surface with a kinetic friction coefficient of #1 #. How much power will it take to accelerate the object at #3 m/s^2?

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Answer 1 · 2017-11-22T17:26:51

The power is #=1274.4W#

The mass of the object is #m=12kg#

The speed is #u=9ms^-1#

The acceleration is #a=2ms^-2#

The coefficient of kinetic friction is

#mu_k=F_r/N=1#

The normal force is #N=12gN#

The force necessary to accelerate the object is #FN#

#F-F_r=ma#

#F=ma+F_r=((12xx2)+(1xx12g))N=141.6N#

The power is

#P=Fxxv=141.6*9=1274.4W#