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 machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 2.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 3.🏋️ Pushing a crate 2 m took 280 J of work. What force was used, in newtons?
- 4.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 50 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 2 m took 740 J of work. What force was used, in newtons?
- 8.🏋️ A force of 90 N did 450 J of work. How many metres did the object move?
- 9.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 10.🏋️ 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)
- 11.🏋️ Pushing a crate 1 m took 450 J of work. What force was used, in newtons?
- 12.🏋️ Pushing a crate 8 m took 800 J of work. What force was used, in newtons?
- 13.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 14.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 17.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 18.🏋️ Pushing a crate 1 m took 340 J of work. What force was used, in newtons?
- 19.🏋️ Pushing a crate 8 m took 1600 J of work. What force was used, in newtons?
- 20.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 21.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 22.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 500 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Pushing a crate 7 m took 3430 J of work. What force was used, in newtons?
- 26.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 440 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 2 m took 780 J of work. What force was used, in newtons?
- 29.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 30.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Pushing a crate 2 m took 840 J of work. What force was used, in newtons?
- 33.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 8 m took 3600 J of work. What force was used, in newtons?
- 35.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 36.🏋️ A force of 200 N did 2000 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 300 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 230 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- 5
- 5
- 140
- 350
- 850
- 150
- 370
- 5
- less effort
- 700
- 450
- 100
- through a distance
- 360
- 350
- 4
- joule (J)
- 340
- 200
- load ÷ effort
- 5
- 4
- 1500
- 950
- 490
- 200
- 1320
- 390
- 2
- 180
- 100
- 420
- 240
- 450
- no, work stays the same
- 10
- 50
- 5
- 1800
- 1840
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