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?

Answer 1

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#

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#
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Answer 2

The power required to accelerate the object at 3 m/s^2 is 135 watts.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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