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.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 2.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 3.🏋️ Pushing a crate 6 m took 540 J of work. What force was used, in newtons?
- 4.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 5.🏋️ Pushing a crate 1 m took 40 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 7.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) watt hour (d) metre (m)
- 8.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 380 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 13.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 14.🏋️ Pushing a crate 2 m took 580 J of work. What force was used, in newtons?
- 15.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 340 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 19.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 330 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 22.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 230 N did 460 J of work. How many metres did the object move?
- 24.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Pushing a crate 4 m took 320 J of work. What force was used, in newtons?
- 26.🏋️ A 12 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 400 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 28.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 450 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 340 N did 1020 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 10 m took 300 J of work. What force was used, in newtons?
- 33.🏋️ A force of 150 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 360 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 36.🏋️ 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?
- 37.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 130 N did 260 J of work. How many metres did the object move?
- 39.🏋️ Pushing a crate 4 m took 1440 J of work. What force was used, in newtons?
- 40.🏋️ A 13 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
- through a distance
- load ÷ effort
- 90
- 6
- 40
- 6
- joule (J)
- 800
- 340
- 420
- 4
- 380
- no, work stays the same
- 290
- 450
- 300
- 300
- 2040
- 450
- 2
- 660
- 4
- 2
- 100
- 80
- 600
- 2000
- 150
- 900
- 3
- 3
- 30
- 150
- 2
- 1080
- 80
- 950
- 2
- 360
- 650
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