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 220 N did 660 J of work. How many metres did the object move?
- 2.🏋️ 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
- 3.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 4.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 5.🏋️ A force of 110 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 6.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 7.🏋️ Pushing a crate 7 m took 630 J of work. What force was used, in newtons?
- 8.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 9.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 10.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 11.🏋️ Pushing a crate 5 m took 2400 J of work. What force was used, in newtons?
- 12.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 13.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 16.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 5 m took 1600 J of work. What force was used, in newtons?
- 18.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 190 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Pushing a crate 6 m took 1020 J of work. What force was used, in newtons?
- 24.🏋️ A force of 490 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 25.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 100 N did 1000 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 5 m took 1100 J of work. What force was used, in newtons?
- 29.🏋️ Pushing a crate 8 m took 960 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 10 m took 3300 J of work. What force was used, in newtons?
- 31.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 140 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 450 N did 1800 J of work. How many metres did the object move?
- 35.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 5 m took 350 J of work. What force was used, in newtons?
- 37.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 40 N did 360 J of work. How many metres did the object move?
- 39.🏋️ A force of 410 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 10 N pushes a cart 7 m along the floor. How much work is done, in joules?
Answer key
- 3
- no, work stays the same
- 3
- 2
- 110
- less effort
- 90
- 5
- 5
- joule (J)
- 480
- 3
- 400
- 300
- load ÷ effort
- 3
- 320
- 160
- 600
- 30
- 760
- 450
- 170
- 4900
- 380
- 10
- 400
- 220
- 120
- 330
- 120
- 800
- 420
- 4
- 6
- 70
- 750
- 9
- 2870
- 70
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