High School

A 16 kg block is dragged over a rough, horizontal surface by a constant force of 143 N acting at an angle of 29.1° above the horizontal. The block is displaced 64.1 m, and the coefficient of kinetic friction is 0.127.

Is the work done by the 143 N force greater than the work done by the friction force?

True/False

Answer :

Final answer:

If the work done by the 143 N force is greater than the work done by the friction force, then the statement is true; otherwise, it is false.

Explanation:

The work done by the force of 143 N is greater than the work done by the friction force, we need to compare the magnitudes of these two forces.

First, let's calculate the work done by the force of 143 N. We can use the equation:

Work = Force x Distance x cos(theta)

where theta is the angle between the force and the displacement.

Next, let's calculate the work done by the friction force. We can use the equation:

Work = Force x Distance x cos(180°)

Now, compare the magnitudes of the two calculated works. If the work done by the 143 N force is greater than the work done by the friction force, then the statement is true; otherwise, it is false.

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