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5) Consider pushing a 50.0 kg box through a 5.00m displacement on both a flat surface and up a
ramp inclined to the horizontal by 15.0°. In both cases, you apply a force of 100. N parallel to the
surface (parallel to the floor or parallel to the ramp). Calculate the work done by:

a) the gravitational force as the box is pushed across the flat ground

b) the gravitational force as the box is pushed up the ramp

c) the force you apply as the box is pushed across the flat ground

d) the force you apply as the box is pushed up the ramp

Answer :

MathPhys

Explanation:

Work equals the force times the parallel distance.

a) Force gravity is in the downward direction.  The box is moving on flat ground, so there's no displacement in that direction.

W = Fd

W = (50 kg) (-9.8 m/s²) (0 m)

W = 0 J

b) This time, there is a displacement in the vertical direction.

W = Fd

W = (50 kg) (-9.8 m/s²) (5.00 m sin 15.0°)

W = -634 J

c) The force is parallel to the displacement.

W = Fd

W = (100. N) (5.00 m)

W = 500. J

d) Again, the force is parallel to the displacement.

W = Fd

W = (100. N) (5.00 m)

W = 500. J

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