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 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 2.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 4.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 5.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 6.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 7.🏋️ 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?
- 8.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) no, work stays the same (d) only on Mondays
- 9.🏋️ A force of 90 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 10.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 11.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 160 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 130 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 16.🏋️ Pushing a crate 9 m took 1710 J of work. What force was used, in newtons?
- 17.🏋️ A force of 270 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 18.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) effort ÷ load (d) load × effort
- 19.🏋️ A force of 100 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 70 N did 140 J of work. How many metres did the object move?
- 21.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 22.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 80 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 440 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 28.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 1 m took 330 J of work. What force was used, in newtons?
- 30.🏋️ A force of 150 N did 1500 J of work. How many metres did the object move?
- 31.🏋️ A force of 440 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 6 m took 2880 J of work. What force was used, in newtons?
- 33.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 34.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 35.🏋️ A force of 140 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 200 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 220 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 40.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 3
- 80
- 2
- 4
- 3
- through a distance
- 190
- no, work stays the same
- 450
- less effort
- 850
- 6
- 320
- 260
- 2
- 190
- 1350
- load ÷ effort
- 1000
- 2
- 6
- 6
- 1000
- 750
- 240
- 320
- 880
- 420
- 330
- 10
- 440
- 480
- 5
- joule (J)
- 1120
- 600
- 750
- 3
- 1320
- 40
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