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) effort ÷ load (c) load + effort (d) load ÷ effort
- 2.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 3.🏋️ Pushing a crate 2 m took 340 J of work. What force was used, in newtons?
- 4.🏋️ 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?
- 5.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 6.🏋️ A force of 350 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 7.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 8.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 9.🏋️ A force of 500 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 10.🏋️ Pushing a crate 5 m took 1050 J of work. What force was used, in newtons?
- 11.🏋️ 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?
- 12.🏋️ Pushing a crate 7 m took 2170 J of work. What force was used, in newtons?
- 13.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 14.🏋️ A force of 470 N did 4700 J of work. How many metres did the object move?
- 15.🏋️ A force of 110 N did 1100 J of work. How many metres did the object move?
- 16.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 460 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 30 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 20.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 21.🏋️ Pushing a crate 10 m took 1600 J of work. What force was used, in newtons?
- 22.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 23.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A force of 30 N did 210 J of work. How many metres did the object move?
- 25.🏋️ A force of 50 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 230 N did 1840 J of work. How many metres did the object move?
- 27.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 29.🏋️ 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)
- 30.🏋️ A force of 390 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 31.🏋️ Pushing a crate 3 m took 450 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 8 m took 3920 J of work. What force was used, in newtons?
- 33.🏋️ A 3 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 machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 35.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 9 m took 1260 J of work. What force was used, in newtons?
- 37.🏋️ A force of 460 N did 4600 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 340 N did 1360 J of work. How many metres did the object move?
- 40.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
Answer key
- load ÷ effort
- 5
- 170
- 90
- joule (J)
- 1400
- through a distance
- less effort
- 1000
- 210
- 130
- 310
- no, work stays the same
- 10
- 10
- 900
- 3220
- 3
- 150
- 3
- 160
- 6
- 200
- 7
- 500
- 8
- 540
- 3
- 150
- 3510
- 150
- 490
- 150
- 4
- 150
- 140
- 10
- 2
- 4
- 3
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