Engineering Worksheet: Mechanical Advantage and Work
Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.
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- 1.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 250 N did 1250 J of work. How many metres did the object move?
- 3.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A force of 140 N did 280 J of work. How many metres did the object move?
- 5.🏋️ A force of 90 N did 270 J of work. How many metres did the object move?
- 6.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 7.🏋️ Pushing a crate 7 m took 770 J of work. What force was used, in newtons?
- 8.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ Pushing a crate 2 m took 380 J of work. What force was used, in newtons?
- 10.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 11.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 490 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 490 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 120 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 16.🏋️ Pushing a crate 7 m took 210 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 10 m took 2000 J of work. What force was used, in newtons?
- 18.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 22.🏋️ Pushing a crate 9 m took 3960 J of work. What force was used, in newtons?
- 23.🏋️ A force of 420 N did 840 J of work. How many metres did the object move?
- 24.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Pushing a crate 8 m took 3680 J of work. What force was used, in newtons?
- 26.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 27.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Pushing a crate 10 m took 1800 J of work. What force was used, in newtons?
- 31.🏋️ A force of 60 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 340 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 470 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 290 N did 2900 J of work. How many metres did the object move?
- 35.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 36.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 350 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 9 m took 3600 J of work. What force was used, in newtons?
- 39.🏋️ A force of 500 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 40.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 3
- 5
- 50
- 2
- 3
- 6
- 110
- 360
- 190
- through a distance
- 200
- 100
- 490
- 3430
- 960
- 30
- 200
- 800
- 50
- 360
- 3
- 440
- 2
- 700
- 460
- no, work stays the same
- 60
- 800
- 350
- 180
- 180
- 2380
- 1410
- 10
- 2
- 250
- 1050
- 400
- 2000
- 80
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