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.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 2.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 3.🏋️ A force of 10 N did 40 J of work. How many metres did the object move?
- 4.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 6.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 7.🏋️ Pushing a crate 2 m took 860 J of work. What force was used, in newtons?
- 8.🏋️ 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?
- 9.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 10.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 11.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ Pushing a crate 10 m took 2900 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 4 m took 560 J of work. What force was used, in newtons?
- 14.🏋️ A force of 70 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 15.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 17.🏋️ 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?
- 18.🏋️ Pushing a crate 10 m took 1700 J of work. What force was used, in newtons?
- 19.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 24.🏋️ Pushing a crate 5 m took 1600 J of work. What force was used, in newtons?
- 25.🏋️ A force of 420 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 26.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 27.🏋️ An 11 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 force of 240 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 110 N did 660 J of work. How many metres did the object move?
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 220 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 5 m took 850 J of work. What force was used, in newtons?
- 33.🏋️ A force of 400 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 140 N did 1260 J of work. How many metres did the object move?
- 35.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 200 N did 1800 J of work. How many metres did the object move?
- 37.🏋️ 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?
- 38.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ Pushing a crate 2 m took 160 J of work. What force was used, in newtons?
- 40.🏋️ A force of 150 N did 1350 J of work. How many metres did the object move?
Answer key
- joule (J)
- through a distance
- 4
- 3
- no, work stays the same
- load ÷ effort
- 430
- 190
- 4
- 6
- 550
- 290
- 140
- 210
- 300
- 3
- 80
- 170
- 50
- 400
- 50
- 150
- 2
- 320
- 2940
- 4
- 330
- 1440
- 6
- 1000
- 1100
- 170
- 3600
- 9
- 800
- 9
- 50
- 450
- 80
- 9
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