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.🏋️ Pushing a crate 3 m took 810 J of work. What force was used, in newtons?
- 2.🏋️ 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
- 3.🏋️ A force of 160 N did 1280 J of work. How many metres did the object move?
- 4.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 6.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 7.🏋️ 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?
- 8.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 8 m took 3760 J of work. What force was used, in newtons?
- 10.🏋️ A force of 220 N did 1100 J of work. How many metres did the object move?
- 11.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 440 N did 3520 J of work. How many metres did the object move?
- 13.🏋️ Pushing a crate 7 m took 1540 J of work. What force was used, in newtons?
- 14.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 15.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) very slowly (d) only upwards
- 16.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 17.🏋️ A force of 150 N did 300 J of work. How many metres did the object move?
- 18.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 19.🏋️ 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?
- 20.🏋️ A force of 200 N did 400 J of work. How many metres did the object move?
- 21.🏋️ A force of 370 N did 2960 J of work. How many metres did the object move?
- 22.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 280 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 10 m took 4900 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 6 m took 1680 J of work. What force was used, in newtons?
- 26.🏋️ 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?
- 27.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 3 m took 1350 J of work. What force was used, in newtons?
- 29.🏋️ A force of 270 N did 1350 J of work. How many metres did the object move?
- 30.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 32.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 34.🏋️ A force of 270 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 460 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 37.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 170 N did 850 J of work. How many metres did the object move?
- 39.🏋️ Pushing a crate 3 m took 510 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 270
- no, work stays the same
- 8
- 600
- load ÷ effort
- joule (J)
- 400
- 200
- 470
- 5
- 850
- 8
- 220
- 2
- through a distance
- 10
- 2
- 2
- 420
- 2
- 8
- 6
- 1120
- 490
- 280
- 450
- 450
- 450
- 5
- 720
- 4
- 300
- less effort
- 810
- 1380
- 4
- 50
- 5
- 170
- 950
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