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As a boy pulls a sled carrying his sister, he exerts a force of 2.6 lbs.at an angle of 30 degrees with the ground. How much work does he do if he pulls her at a constant speed for exactly one-half mile (2640 ft)?

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Eduard22sly

The amount of work done by the boy in pulling the sled is 8064.41 J

Definition of work done

Workdone is defined as the product of force and distance moved in the direction of the force. It can be expressed mathematically as:

Workdone (Wd) = force (F) × distance (d)

Wd = Fd

Considering angle projection,

Wd = FdCosθ

How to determine the workdone

  • Force (F) = 2.6 lb = 2.6 × 4.448 = 11.5648 N
  • Distance (d) = 2640 ft = 2640 × 0.305 = 805.2 m
  • Angle (θ) = 30°
  • Workdone (Wd) =?

Wd = FdCosθ

Wd = 11.5648 × 805.2 × Cos 30

Wd = 8064.41 J

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