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 smooth ramp is 9 m long and rises 3 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 3.🏋️ Pushing a crate 2 m took 700 J of work. What force was used, in newtons?
- 4.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 5.🏋️ Pushing a crate 7 m took 280 J of work. What force was used, in newtons?
- 6.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 8.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
- 9.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 10.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 11.🏋️ A force of 220 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 320 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 15.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) effort ÷ load (d) load × effort
- 16.🏋️ A 13 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 force of 80 N did 160 J of work. How many metres did the object move?
- 18.🏋️ A force of 470 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 240 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 22.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ 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?
- 24.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ Pushing a crate 1 m took 150 J of work. What force was used, in newtons?
- 26.🏋️ A force of 60 N did 120 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 480 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 30 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 190 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 250 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 3 m took 780 J of work. What force was used, in newtons?
- 33.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 290 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 3 m took 1410 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 350 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 60 N did 420 J of work. How many metres did the object move?
- 39.🏋️ A force of 300 N did 3000 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 7 m took 560 J of work. What force was used, in newtons?
Answer key
- 700
- 6
- 350
- 5
- 40
- 110
- through a distance
- no, work stays the same
- less effort
- joule (J)
- 220
- 640
- 900
- 2
- load ÷ effort
- 130
- 2
- 3760
- 720
- 550
- 5
- 80
- 720
- 570
- 150
- 2
- 700
- 480
- 90
- 570
- 750
- 260
- 90
- 870
- 470
- 6
- 700
- 7
- 10
- 80
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