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 100 N did 500 J of work. How many metres did the object move?
- 2.🏋️ A force of 310 N did 310 J of work. How many metres did the object move?
- 3.🏋️ A force of 180 N did 1260 J of work. How many metres did the object move?
- 4.🏋️ A 12 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.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 6.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 7.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 8.🏋️ A force of 370 N did 1480 J of work. How many metres did the object move?
- 9.🏋️ Pushing a crate 10 m took 1400 J of work. What force was used, in newtons?
- 10.🏋️ A force of 430 N did 1290 J of work. How many metres did the object move?
- 11.🏋️ A force of 440 N did 880 J of work. How many metres did the object move?
- 12.🏋️ A force of 160 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 13.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 14.🏋️ Pushing a crate 5 m took 850 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 7 m took 1680 J of work. What force was used, in newtons?
- 16.🏋️ Pushing a crate 8 m took 2080 J of work. What force was used, in newtons?
- 17.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 18.🏋️ Pushing a crate 3 m took 840 J of work. What force was used, in newtons?
- 19.🏋️ A force of 400 N did 800 J of work. How many metres did the object move?
- 20.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 22.🏋️ A force of 500 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 24.🏋️ Pushing a crate 3 m took 720 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 8 m took 1200 J of work. What force was used, in newtons?
- 26.🏋️ A force of 180 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 28.🏋️ Pushing a crate 8 m took 400 J of work. What force was used, in newtons?
- 29.🏋️ A force of 400 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 2 m took 320 J of work. What force was used, in newtons?
- 32.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 34.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 35.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 100 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 3 m took 1230 J of work. What force was used, in newtons?
- 38.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 39.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 5
- 1
- 7
- 360
- 5
- 6
- no, work stays the same
- 4
- 140
- 3
- 2
- 1600
- 5
- 170
- 240
- 260
- 2
- 280
- 2
- 20
- joule (J)
- 1500
- through a distance
- 240
- 150
- 900
- 4
- 50
- 2400
- 4
- 160
- 800
- 6
- load ÷ effort
- 300
- 700
- 410
- less effort
- 100
- 300
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