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 40 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 2.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Pushing a crate 1 m took 420 J of work. What force was used, in newtons?
- 4.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 5.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Pushing a crate 9 m took 3600 J of work. What force was used, in newtons?
- 7.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 450 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 470 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 11.🏋️ Pushing a crate 2 m took 940 J of work. What force was used, in newtons?
- 12.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 13.🏋️ A force of 130 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 14.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 15.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 16.🏋️ A force of 460 N did 4140 J of work. How many metres did the object move?
- 17.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 18.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 180 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 21.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 320 N did 2560 J of work. How many metres did the object move?
- 23.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 10 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 2 m took 660 J of work. What force was used, in newtons?
- 27.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 330 N did 2640 J of work. How many metres did the object move?
- 29.🏋️ A force of 300 N did 1500 J of work. How many metres did the object move?
- 30.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ Pushing a crate 3 m took 480 J of work. What force was used, in newtons?
- 32.🏋️ 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
- 33.🏋️ A force of 440 N did 4400 J of work. How many metres did the object move?
- 34.🏋️ A force of 70 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 35.🏋️ 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?
- 36.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 37.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 170 N did 1020 J of work. How many metres did the object move?
- 39.🏋️ A force of 460 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 30 N did 90 J of work. How many metres did the object move?
Answer key
- 160
- 140
- 420
- less effort
- 400
- 400
- 550
- 650
- 1350
- 940
- 470
- joule (J)
- 1170
- 3
- load ÷ effort
- 9
- through a distance
- 680
- 50
- 1260
- 350
- 8
- 900
- 2
- 10
- 330
- 800
- 8
- 5
- 1000
- 160
- no, work stays the same
- 10
- 560
- 380
- 5
- 40
- 6
- 460
- 3
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