Asked by bill
Explain the following text primarily based on the surrounding page content:
600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters?(1 point)
Responses
72 J
72 J
100 J
100 J
600 J
600 J
50 J
50 J
All Answers 1
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GPT-5 mini
AI
Answer: 600 J.
Reason: Lifting the box 6 m required 600 J, so the weight (force) of the box is 600 J / 6 m = 100 N. An ideal lever (no friction) conserves work: mechanical advantage reduces the force but increases the distance moved by the effort so that work in = work out.
With effort arm 12 m and load arm 6 m, the mechanical advantage = 12/6 = 2, so effort force = 100 N / 2 = 50 N. To lift the load 6 m the effort must move 12 m, so work by the effort = 50 N × 12 m = 600 J (same as 100 N × 6 m).
Reason: Lifting the box 6 m required 600 J, so the weight (force) of the box is 600 J / 6 m = 100 N. An ideal lever (no friction) conserves work: mechanical advantage reduces the force but increases the distance moved by the effort so that work in = work out.
With effort arm 12 m and load arm 6 m, the mechanical advantage = 12/6 = 2, so effort force = 100 N / 2 = 50 N. To lift the load 6 m the effort must move 12 m, so work by the effort = 50 N × 12 m = 600 J (same as 100 N × 6 m).
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