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.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 3.🏋️ Pushing a crate 8 m took 640 J of work. What force was used, in newtons?
- 4.🏋️ A force of 270 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 5.🏋️ 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?
- 6.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 7.🏋️ A force of 250 N did 1750 J of work. How many metres did the object move?
- 8.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A force of 430 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 350 N did 1050 J of work. How many metres did the object move?
- 11.🏋️ Pushing a crate 7 m took 140 J of work. What force was used, in newtons?
- 12.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 110 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 16.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ 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)
- 18.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 19.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 20.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 21.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 22.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) effort ÷ load (d) load × effort
- 23.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 50 N did 450 J of work. How many metres did the object move?
- 25.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 26.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 400 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 28.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 29.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 230 N did 690 J of work. How many metres did the object move?
- 31.🏋️ A force of 490 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 10 m took 200 J of work. What force was used, in newtons?
- 33.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 10 m took 700 J of work. What force was used, in newtons?
- 35.🏋️ A force of 400 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 8 m took 880 J of work. What force was used, in newtons?
- 37.🏋️ A force of 130 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 310 N did 310 J of work. How many metres did the object move?
- 39.🏋️ Pushing a crate 10 m took 1000 J of work. What force was used, in newtons?
- 40.🏋️ A force of 60 N did 360 J of work. How many metres did the object move?
Answer key
- through a distance
- no, work stays the same
- 80
- 2700
- 550
- joule (J)
- 7
- 60
- 860
- 3
- 20
- 600
- 800
- 5
- 440
- 40
- 400
- 2
- 3
- 5
- 3
- load ÷ effort
- 2
- 9
- 3
- 300
- 2000
- less effort
- 350
- 3
- 490
- 20
- 6
- 70
- 2800
- 110
- 1170
- 1
- 100
- 6
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