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 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 2.🏋️ 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
- 3.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 4.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 5.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 50 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 7.🏋️ A 17 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 machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 280 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 380 N did 380 J of work. How many metres did the object move?
- 11.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 12.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 14.🏋️ A force of 110 N did 660 J of work. How many metres did the object move?
- 15.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 16.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 10 m took 1400 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 19.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ Pushing a crate 10 m took 900 J of work. What force was used, in newtons?
- 21.🏋️ A force of 220 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 22.🏋️ Pushing a crate 5 m took 1250 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 750 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 250 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 70 N did 700 J of work. How many metres did the object move?
- 26.🏋️ A 5 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 force of 450 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 1 m took 380 J of work. What force was used, in newtons?
- 29.🏋️ 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)
- 30.🏋️ Pushing a crate 9 m took 4050 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 6 m took 1500 J of work. What force was used, in newtons?
- 32.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 34.🏋️ 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?
- 35.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 36.🏋️ An 8 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 470 N did 470 J of work. How many metres did the object move?
- 38.🏋️ A force of 360 N did 3600 J of work. How many metres did the object move?
- 39.🏋️ A force of 160 N did 1440 J of work. How many metres did the object move?
- 40.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 3
- no, work stays the same
- 5
- through a distance
- 2
- 50
- 850
- 5
- 1680
- 1
- 2
- 700
- joule (J)
- 6
- 3
- 3
- 140
- 6
- 1000
- 90
- 880
- 250
- 250
- 2000
- 10
- 150
- 4500
- 380
- 50
- 450
- 250
- 500
- load ÷ effort
- 100
- 5
- 320
- 1
- 10
- 9
- 560
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