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.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 2.🏋️ A force of 290 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 400 N did 3600 J of work. How many metres did the object move?
- 4.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 5.🏋️ A force of 450 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 6.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 7.🏋️ Pushing a crate 8 m took 160 J of work. What force was used, in newtons?
- 8.🏋️ 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?
- 9.🏋️ A force of 350 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 200 N did 2000 J of work. How many metres did the object move?
- 11.🏋️ A force of 130 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 12.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 13.🏋️ A force of 360 N did 720 J of work. How many metres did the object move?
- 14.🏋️ Pushing a crate 4 m took 880 J of work. What force was used, in newtons?
- 15.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 170 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 6 m took 780 J of work. What force was used, in newtons?
- 18.🏋️ Pushing a crate 7 m took 2590 J of work. What force was used, in newtons?
- 19.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 20.🏋️ Pushing a crate 3 m took 1320 J of work. What force was used, in newtons?
- 21.🏋️ A force of 410 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 200 N did 800 J of work. How many metres did the object move?
- 23.🏋️ A force of 170 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 210 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 1 m took 350 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 470 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 29.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A force of 10 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 32.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 33.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 7 m took 2310 J of work. What force was used, in newtons?
- 35.🏋️ A force of 130 N did 520 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 2 m took 420 J of work. What force was used, in newtons?
- 37.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- load ÷ effort
- 2900
- 9
- joule (J)
- 900
- through a distance
- 20
- 200
- 1050
- 10
- 520
- no, work stays the same
- 2
- 220
- 3
- 510
- 130
- 370
- less effort
- 440
- 2870
- 4
- 850
- 800
- 2100
- 350
- 950
- 2350
- 90
- 300
- 80
- 4
- 2
- 330
- 4
- 210
- 100
- 150
- 80
- 650
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