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?

1 Answer
Nov 22, 2017

The power is #=1274.4W#

Explanation:

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#

According to Newton's Second Law

#F-F_r=ma#

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

The power is

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