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) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 2.🏋️ A force of 410 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 3.🏋️ 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?
- 4.🏋️ A force of 70 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 5.🏋️ Pushing a crate 2 m took 900 J of work. What force was used, in newtons?
- 6.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 7.🏋️ Pushing a crate 3 m took 1050 J of work. What force was used, in newtons?
- 8.🏋️ A force of 120 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 9.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 10.🏋️ Pushing a crate 6 m took 120 J of work. What force was used, in newtons?
- 11.🏋️ A force of 390 N did 3900 J of work. How many metres did the object move?
- 12.🏋️ A force of 100 N did 800 J of work. How many metres did the object move?
- 13.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 110 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 15.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 16.🏋️ A force of 290 N did 870 J of work. How many metres did the object move?
- 17.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 18.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 300 N did 2100 J of work. How many metres did the object move?
- 20.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ 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)
- 22.🏋️ A force of 170 N did 850 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 24.🏋️ Pushing a crate 10 m took 4400 J of work. What force was used, in newtons?
- 25.🏋️ 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?
- 26.🏋️ Pushing a crate 10 m took 1300 J of work. What force was used, in newtons?
- 27.🏋️ A force of 370 N did 2960 J of work. How many metres did the object move?
- 28.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ 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?
- 30.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 31.🏋️ 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)
- 32.🏋️ A force of 150 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 1 m took 200 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 35.🏋️ Pushing a crate 8 m took 800 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 130 N did 1170 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 6 m took 720 J of work. What force was used, in newtons?
- 39.🏋️ A force of 50 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 8 m took 3200 J of work. What force was used, in newtons?
Answer key
- joule (J)
- 410
- 380
- 490
- 450
- load ÷ effort
- 350
- 1200
- through a distance
- 20
- 10
- 8
- 50
- 550
- less effort
- 3
- no, work stays the same
- 5
- 7
- 10
- 400
- 5
- 6
- 440
- 160
- 130
- 8
- 500
- 950
- 5
- 450
- 1200
- 200
- 6
- 100
- 5
- 9
- 120
- 150
- 400
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