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.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 2.🏋️ 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?
- 3.🏋️ A force of 400 N did 3600 J of work. How many metres did the object move?
- 4.🏋️ 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?
- 5.🏋️ A force of 100 N did 200 J of work. How many metres did the object move?
- 6.🏋️ A force of 440 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 460 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 240 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 9.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Pushing a crate 5 m took 900 J of work. What force was used, in newtons?
- 12.🏋️ Pushing a crate 2 m took 60 J of work. What force was used, in newtons?
- 13.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 14.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 15.🏋️ A force of 300 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 16.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ Pushing a crate 3 m took 660 J of work. What force was used, in newtons?
- 18.🏋️ A force of 220 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 19.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 21.🏋️ Pushing a crate 8 m took 3360 J of work. What force was used, in newtons?
- 22.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 140 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 350 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 29.🏋️ Pushing a crate 6 m took 2400 J of work. What force was used, in newtons?
- 30.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ Pushing a crate 6 m took 780 J of work. What force was used, in newtons?
- 33.🏋️ A force of 70 N did 630 J of work. How many metres did the object move?
- 34.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 35.🏋️ Pushing a crate 4 m took 560 J of work. What force was used, in newtons?
- 36.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 50 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 8 m took 3120 J of work. What force was used, in newtons?
Answer key
- no, work stays the same
- 120
- 9
- 560
- 2
- 3520
- 4600
- 1680
- 50
- 550
- 180
- 30
- load ÷ effort
- through a distance
- 2100
- 1000
- 220
- 1540
- 150
- 4
- 420
- 190
- 700
- 40
- 300
- 5
- 3500
- joule (J)
- 400
- 400
- 150
- 130
- 9
- 6
- 140
- 650
- 3
- 400
- 2
- 390
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