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) newton (N) (c) metre (m) (d) joule (J)
- 2.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 3.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 180 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 5.🏋️ 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?
- 6.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 7.🏋️ 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?
- 8.🏋️ A force of 170 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 9.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 10.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 11.🏋️ 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?
- 12.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Pushing a crate 8 m took 80 J of work. What force was used, in newtons?
- 14.🏋️ A force of 10 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 15.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 16.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A force of 130 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 19.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 380 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 23.🏋️ Pushing a crate 5 m took 1450 J of work. What force was used, in newtons?
- 24.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 25.🏋️ An 8 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 7 m took 630 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 1 m took 350 J of work. What force was used, in newtons?
- 29.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 100 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 20 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 6 m took 300 J of work. What force was used, in newtons?
- 34.🏋️ A force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 35.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 37.🏋️ A 15 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.🏋️ Pushing a crate 9 m took 630 J of work. What force was used, in newtons?
- 39.🏋️ A force of 70 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 10 m took 700 J of work. What force was used, in newtons?
Answer key
- joule (J)
- through a distance
- 4
- 1800
- 140
- no, work stays the same
- 800
- 680
- 3
- load ÷ effort
- 80
- 160
- 10
- 90
- less effort
- 300
- 200
- 1170
- 5
- 1000
- 390
- 760
- 290
- 4
- 80
- 90
- 800
- 350
- 900
- 500
- 100
- 600
- 50
- 130
- 4
- 2
- 600
- 70
- 70
- 70
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