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 longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 2.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 3.🏋️ A force of 490 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 4.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 6.🏋️ A 6 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.🏋️ Pushing a crate 6 m took 960 J of work. What force was used, in newtons?
- 8.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 9.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 170 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 13.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 15.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ Pushing a crate 9 m took 1890 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 9 m took 630 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 19.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 230 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 8 m took 2240 J of work. What force was used, in newtons?
- 22.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 60 N did 120 J of work. How many metres did the object move?
- 24.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 25.🏋️ Pushing a crate 9 m took 4140 J of work. What force was used, in newtons?
- 26.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 9 m took 810 J of work. What force was used, in newtons?
- 28.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 370 N did 2220 J of work. How many metres did the object move?
- 31.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 3 m took 450 J of work. What force was used, in newtons?
- 33.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 35.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 2 m took 620 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 2 m took 300 J of work. What force was used, in newtons?
- 39.🏋️ A force of 150 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 40.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- less effort
- joule (J)
- 4410
- 140
- no, work stays the same
- 240
- 160
- 4
- 400
- 400
- 2
- 1530
- 100
- through a distance
- 550
- 210
- 70
- 5
- 250
- 230
- 280
- 3
- 2
- load ÷ effort
- 460
- 3
- 90
- 350
- 30
- 6
- 100
- 150
- 3
- 300
- 2
- 310
- 6
- 150
- 900
- 280
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