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 8 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 470 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 3.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A 10 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.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 6.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 7.🏋️ A force of 40 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 240 N did 2400 J of work. How many metres did the object move?
- 9.🏋️ Pushing a crate 6 m took 2340 J of work. What force was used, in newtons?
- 10.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 11.🏋️ A force of 60 N did 600 J of work. How many metres did the object move?
- 12.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 13.🏋️ Pushing a crate 4 m took 680 J of work. What force was used, in newtons?
- 14.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 16.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 17.🏋️ A force of 130 N did 520 J of work. How many metres did the object move?
- 18.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 19.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 20.🏋️ Pushing a crate 3 m took 450 J of work. What force was used, in newtons?
- 21.🏋️ A force of 220 N did 1320 J of work. How many metres did the object move?
- 22.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 200 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 420 N did 3360 J of work. How many metres did the object move?
- 26.🏋️ A force of 30 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 28.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 29.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A force of 230 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 5 m took 1000 J of work. What force was used, in newtons?
- 34.🏋️ A force of 50 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 10 m took 4500 J of work. What force was used, in newtons?
- 36.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 2 m took 320 J of work. What force was used, in newtons?
- 38.🏋️ A force of 110 N did 1100 J of work. How many metres did the object move?
- 39.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 150
- 3290
- 90
- 300
- 3
- less effort
- 80
- 10
- 390
- load ÷ effort
- 10
- joule (J)
- 170
- 250
- 3
- no, work stays the same
- 4
- 5
- 6
- 150
- 6
- 3
- 600
- 800
- 8
- 90
- through a distance
- 6
- 150
- 300
- 460
- 450
- 200
- 250
- 450
- 600
- 160
- 10
- 20
- 950
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