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 330 N did 2970 J of work. How many metres did the object move?
- 2.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 4.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 6.🏋️ A force of 350 N did 700 J of work. How many metres did the object move?
- 7.🏋️ A force of 180 N did 540 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 9.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 130 N did 780 J of work. How many metres did the object move?
- 12.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 210 N did 840 J of work. How many metres did the object move?
- 14.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 15.🏋️ A 6 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.🏋️ A force of 130 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 17.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 18.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A force of 200 N did 1000 J of work. How many metres did the object move?
- 21.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 22.🏋️ Pushing a crate 1 m took 220 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 30 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 270 N did 1620 J of work. How many metres did the object move?
- 26.🏋️ A force of 140 N did 840 J of work. How many metres did the object move?
- 27.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, by half (d) yes, always
- 28.🏋️ Pushing a crate 9 m took 2070 J of work. What force was used, in newtons?
- 29.🏋️ Pushing a crate 4 m took 1600 J of work. What force was used, in newtons?
- 30.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 31.🏋️ A force of 260 N did 2600 J of work. How many metres did the object move?
- 32.🏋️ A force of 270 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 1 m took 80 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 9 m took 270 J of work. What force was used, in newtons?
- 36.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ Pushing a crate 7 m took 3430 J of work. What force was used, in newtons?
- 38.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 39.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 9
- 50
- 6
- 850
- through a distance
- 2
- 3
- 3
- 50
- 130
- 6
- 3
- 4
- less effort
- 120
- 260
- 2
- 360
- 100
- 5
- joule (J)
- 220
- 450
- 30
- 6
- 6
- no, work stays the same
- 230
- 400
- load ÷ effort
- 10
- 1350
- 2
- 80
- 30
- 10
- 490
- 3
- 550
- 350
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