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.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 2.🏋️ Pushing a crate 8 m took 3360 J of work. What force was used, in newtons?
- 3.🏋️ Pushing a crate 5 m took 550 J of work. What force was used, in newtons?
- 4.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 6.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 7.🏋️ Pushing a crate 4 m took 2000 J of work. What force was used, in newtons?
- 8.🏋️ A force of 310 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ Pushing a crate 2 m took 740 J of work. What force was used, in newtons?
- 11.🏋️ A force of 430 N did 1720 J of work. How many metres did the object move?
- 12.🏋️ Pushing a crate 4 m took 960 J of work. What force was used, in newtons?
- 13.🏋️ 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?
- 14.🏋️ Pushing a crate 9 m took 3150 J of work. What force was used, in newtons?
- 15.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 16.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 17.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ Pushing a crate 3 m took 690 J of work. What force was used, in newtons?
- 19.🏋️ A force of 140 N did 1260 J of work. How many metres did the object move?
- 20.🏋️ A force of 130 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 21.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 22.🏋️ A force of 500 N did 3000 J of work. How many metres did the object move?
- 23.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A force of 350 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 460 N did 2300 J of work. How many metres did the object move?
- 26.🏋️ A 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 200 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ A 4 kg box is lifted straight up by 4 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.🏋️ Pushing a crate 5 m took 2500 J of work. What force was used, in newtons?
- 31.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 20 N did 20 J of work. How many metres did the object move?
- 33.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 34.🏋️ 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)
- 35.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 36.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 110 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 39.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 180 N did 1800 J of work. How many metres did the object move?
Answer key
- joule (J)
- 420
- 110
- 600
- less effort
- 6
- 500
- 2480
- 200
- 370
- 4
- 240
- 400
- 350
- 3
- no, work stays the same
- 340
- 230
- 9
- 1040
- load ÷ effort
- 6
- 100
- 2800
- 5
- 950
- 2000
- 160
- 330
- 500
- 840
- 1
- 4
- 750
- 5
- 850
- 110
- 2
- 210
- 10
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