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 170 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 2.🏋️ A 9 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 430 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 220 N did 1540 J of work. How many metres did the object move?
- 5.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 460 N did 4140 J of work. How many metres did the object move?
- 7.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 8.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 9.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 380 N did 3800 J of work. How many metres did the object move?
- 13.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 15.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 16.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 18.🏋️ Pushing a crate 4 m took 1400 J of work. What force was used, in newtons?
- 19.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 10 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 21.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 23.🏋️ A force of 350 N did 1750 J of work. How many metres did the object move?
- 24.🏋️ A force of 270 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 30 N did 150 J of work. How many metres did the object move?
- 26.🏋️ 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?
- 27.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
- 28.🏋️ 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)
- 29.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 70 N did 140 J of work. How many metres did the object move?
- 32.🏋️ A force of 40 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 33.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 35.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 220 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 3 m took 1380 J of work. What force was used, in newtons?
- 40.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 1530
- 180
- 2580
- 7
- 500
- 9
- no, work stays the same
- 3
- 850
- 60
- 2
- 10
- 800
- less effort
- through a distance
- 1000
- joule (J)
- 350
- 500
- 80
- 680
- load ÷ effort
- 5
- 2430
- 5
- 180
- 340
- 1000
- 90
- 2
- 2
- 80
- 350
- 4
- 2
- 3
- 150
- 1100
- 460
- 550
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