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 170 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 500 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 3.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 5.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 6.🏋️ 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?
- 7.🏋️ A force of 480 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 8.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 9.🏋️ A force of 70 N did 140 J of work. How many metres did the object move?
- 10.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 11.🏋️ Pushing a crate 5 m took 150 J of work. What force was used, in newtons?
- 12.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 380 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Pushing a crate 2 m took 120 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ Pushing a crate 2 m took 520 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 19.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 260 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 1 m took 90 J of work. What force was used, in newtons?
- 22.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 23.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 24.🏋️ Pushing a crate 7 m took 1330 J of work. What force was used, in newtons?
- 25.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) no, work stays the same (d) yes, by half
- 26.🏋️ A force of 180 N did 180 J of work. How many metres did the object move?
- 27.🏋️ 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?
- 28.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 270 N did 2160 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 3 m took 1080 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 2 m took 560 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 2 m took 480 J of work. What force was used, in newtons?
- 33.🏋️ A force of 110 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 10 m took 3900 J of work. What force was used, in newtons?
- 35.🏋️ A force of 170 N did 850 J of work. How many metres did the object move?
- 36.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 9 m took 3780 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 1 m took 130 J of work. What force was used, in newtons?
- 39.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 40.🏋️ 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?
Answer key
- 1360
- 4000
- 750
- less effort
- joule (J)
- 160
- 3360
- through a distance
- 2
- load ÷ effort
- 30
- 3
- 760
- 200
- 60
- 300
- 260
- 2
- 4
- 2080
- 90
- 2
- 4
- 190
- no, work stays the same
- 1
- 40
- 200
- 8
- 360
- 280
- 240
- 880
- 390
- 5
- 3
- 420
- 130
- 2
- 90
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