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 350 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 2.🏋️ A 13 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 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)
- 4.🏋️ Pushing a crate 8 m took 1040 J of work. What force was used, in newtons?
- 5.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 6.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 7.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 8.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 9.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
- 10.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A force of 40 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 220 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 360 N did 1440 J of work. How many metres did the object move?
- 14.🏋️ A force of 330 N did 330 J of work. How many metres did the object move?
- 15.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 30 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 130 N did 1170 J of work. How many metres did the object move?
- 18.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 19.🏋️ A force of 280 N did 2240 J of work. How many metres did the object move?
- 20.🏋️ A 4 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 470 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 22.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 260 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Pushing a crate 5 m took 2500 J of work. What force was used, in newtons?
- 26.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 27.🏋️ A force of 470 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 28.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 20 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 31.🏋️ 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?
- 32.🏋️ A force of 40 N did 240 J of work. How many metres did the object move?
- 33.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ 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)
- 36.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 10 m took 1000 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 3 m took 780 J of work. What force was used, in newtons?
- 39.🏋️ A force of 420 N did 2520 J of work. How many metres did the object move?
- 40.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 350
- 130
- 450
- 130
- through a distance
- 6
- load ÷ effort
- 4
- 60
- 300
- 320
- 1320
- 4
- 1
- 4
- 60
- 9
- no, work stays the same
- 8
- 120
- 1410
- 3
- 2600
- 500
- 500
- joule (J)
- 2820
- 550
- 3
- 100
- 160
- 6
- 250
- 400
- 500
- 150
- 100
- 260
- 6
- 700
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