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 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 270 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 5.🏋️ A force of 440 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 6.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 150 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 8.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 9.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 10.🏋️ A force of 420 N did 1680 J of work. How many metres did the object move?
- 11.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 12.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 13.🏋️ Pushing a crate 4 m took 880 J of work. What force was used, in newtons?
- 14.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A 2 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 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?
- 17.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 30 N did 300 J of work. How many metres did the object move?
- 20.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 150 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 230 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 29.🏋️ A force of 20 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 200 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 200 N did 600 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 6 m took 120 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 5 m took 700 J of work. What force was used, in newtons?
- 34.🏋️ A force of 350 N did 1400 J of work. How many metres did the object move?
- 35.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
- 38.🏋️ A force of 390 N did 3510 J of work. How many metres did the object move?
- 39.🏋️ A force of 260 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 7 m took 1750 J of work. What force was used, in newtons?
Answer key
- 500
- 3
- 810
- 4
- 1760
- 650
- 1050
- no, work stays the same
- through a distance
- 4
- load ÷ effort
- 3
- 220
- 140
- 100
- 50
- 270
- 850
- 10
- 510
- 350
- 6
- 750
- 190
- 600
- 70
- 2300
- joule (J)
- 20
- 1400
- 3
- 20
- 140
- 4
- 6
- 5
- 340
- 9
- 1040
- 250
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