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 force of 270 N did 810 J of work. How many metres did the object move?
- 2.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 190 N did 1710 J of work. How many metres did the object move?
- 4.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 5.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Pushing a crate 6 m took 1020 J of work. What force was used, in newtons?
- 7.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 8.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 130 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 10.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 12.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 13.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 14.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ 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
- 17.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 200 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 22.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 450 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 2 m took 940 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 7 m took 70 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 5 m took 1100 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 280 N did 840 J of work. How many metres did the object move?
- 32.🏋️ A force of 470 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 4 m took 240 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 35.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ 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)
- 37.🏋️ Pushing a crate 1 m took 200 J of work. What force was used, in newtons?
- 38.🏋️ A force of 30 N did 270 J of work. How many metres did the object move?
- 39.🏋️ A force of 370 N did 2590 J of work. How many metres did the object move?
- 40.🏋️ A 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 3
- 200
- 9
- 20
- 20
- 170
- through a distance
- 4
- 650
- 80
- joule (J)
- 5
- 6
- 850
- 220
- no, work stays the same
- 20
- 450
- 1600
- 100
- 4
- 5
- 1350
- 2
- 470
- 10
- 350
- 160
- 220
- 5
- 3
- 470
- 60
- 2
- 240
- 200
- 200
- 9
- 7
- 950
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