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.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 2.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 3.🏋️ A force of 260 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 4.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 5.🏋️ Pushing a crate 1 m took 190 J of work. What force was used, in newtons?
- 6.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 8.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ Pushing a crate 1 m took 330 J of work. What force was used, in newtons?
- 10.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 11.🏋️ Pushing a crate 10 m took 3800 J of work. What force was used, in newtons?
- 12.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 80 N did 240 J of work. How many metres did the object move?
- 14.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 380 N did 380 J of work. How many metres did the object move?
- 18.🏋️ Pushing a crate 7 m took 1190 J of work. What force was used, in newtons?
- 19.🏋️ A force of 340 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 20.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 150 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 190 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 25.🏋️ An 8 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ Pushing a crate 3 m took 210 J of work. What force was used, in newtons?
- 27.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) watt hour (d) metre (m)
- 28.🏋️ A force of 70 N did 630 J of work. How many metres did the object move?
- 29.🏋️ A force of 320 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 80 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 31.🏋️ Pushing a crate 6 m took 1740 J of work. What force was used, in newtons?
- 32.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 140 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 9 m took 1260 J of work. What force was used, in newtons?
- 35.🏋️ A force of 30 N did 60 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 8 m took 4000 J of work. What force was used, in newtons?
- 37.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 60 N did 300 J of work. How many metres did the object move?
- 39.🏋️ A 19 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 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- through a distance
- less effort
- 520
- no, work stays the same
- 190
- 50
- load ÷ effort
- 240
- 330
- 4
- 380
- 5
- 3
- 800
- 760
- 550
- 1
- 170
- 2720
- 240
- 300
- 450
- 3
- 1520
- 320
- 70
- joule (J)
- 9
- 640
- 480
- 290
- 4
- 1400
- 140
- 2
- 500
- 900
- 5
- 380
- 650
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