W P = J W f = J W N = J W mg = J A 54-kg box is being pushed a distance of 6.7 m

Question

WP= J

Wf= J

WN= J

Wmg= J

A 54-kg box is being pushed a distance of 6.7 m across the floor by a force whose magnitude is 165 N. The force is parallel to the displacement of the box. The coefficient of kinetic friction is0.21. Determine the work done on the box by each of the four forces that act on the box. Be sure to include the proper plus or minus sign for the work done by each force. (The floor is level and horizontal. Forces that act on the box: pushing force P, frictional force f, normal force N, and weight mg.)

Explanation / Answer

applied force = fdcos(0)

165 N x6.7 m x cosine 0 deg = 1105.50 J

frictional force = u mg dcos(pi)

0.21x 529.2 N x 6.7 m x cos 180 deg = -744.584 J

normal force = 0 (since cosine 90deg = 0)

gravity = 0

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