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 force of 490 N did 980 J of work. How many metres did the object move?
- 2.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 3.🏋️ A 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A force of 360 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 5.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 6.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 340 N did 2720 J of work. How many metres did the object move?
- 8.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 9.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 30 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 11.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 16.🏋️ Pushing a crate 7 m took 630 J of work. What force was used, in newtons?
- 17.🏋️ A force of 430 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 18.🏋️ 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
- 19.🏋️ 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?
- 20.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Pushing a crate 2 m took 780 J of work. What force was used, in newtons?
- 22.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 10 N did 30 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 5 m took 450 J of work. What force was used, in newtons?
- 27.🏋️ A force of 220 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 50 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 29.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 31.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ Pushing a crate 2 m took 960 J of work. What force was used, in newtons?
- 35.🏋️ A force of 20 N did 20 J of work. How many metres did the object move?
- 36.🏋️ A 6 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 260 N did 2600 J of work. How many metres did the object move?
- 38.🏋️ A force of 190 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 2 m took 260 J of work. What force was used, in newtons?
- 40.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
Answer key
- 2
- through a distance
- 150
- 2160
- joule (J)
- 550
- 8
- less effort
- 50
- 60
- 550
- 700
- 200
- 150
- 4
- 90
- 4300
- no, work stays the same
- 1000
- 250
- 390
- 350
- 150
- 4
- 3
- 90
- 1540
- 450
- 50
- 3
- 100
- 750
- 300
- 480
- 1
- 240
- 10
- 570
- 130
- load ÷ effort
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