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 machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 2.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 3.🏋️ Pushing a crate 6 m took 2040 J of work. What force was used, in newtons?
- 4.🏋️ A 13 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 6.🏋️ An 11 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.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 8.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ Pushing a crate 8 m took 3920 J of work. What force was used, in newtons?
- 10.🏋️ A force of 320 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ Pushing a crate 5 m took 1300 J of work. What force was used, in newtons?
- 12.🏋️ A force of 390 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 13.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 14.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 15.🏋️ A force of 70 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 120 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 310 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 1 m took 40 J of work. What force was used, in newtons?
- 19.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A force of 370 N did 1110 J of work. How many metres did the object move?
- 21.🏋️ 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?
- 22.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 24.🏋️ A force of 300 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 100 N did 600 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 2 m took 220 J of work. What force was used, in newtons?
- 27.🏋️ A force of 120 N did 360 J of work. How many metres did the object move?
- 28.🏋️ Pushing a crate 7 m took 280 J of work. What force was used, in newtons?
- 29.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 470 N did 1880 J of work. How many metres did the object move?
- 31.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ 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?
- 33.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 60 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 10 m took 3200 J of work. What force was used, in newtons?
- 36.🏋️ A force of 340 N did 2720 J of work. How many metres did the object move?
- 37.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 38.🏋️ Pushing a crate 4 m took 600 J of work. What force was used, in newtons?
- 39.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 80 N did 480 J of work. How many metres did the object move?
Answer key
- 5
- 3
- 340
- 520
- less effort
- 550
- through a distance
- 40
- 490
- 1920
- 260
- 2340
- 2
- no, work stays the same
- 420
- 1080
- 1240
- 40
- 10
- 3
- 240
- 200
- load ÷ effort
- 300
- 6
- 110
- 3
- 40
- 80
- 4
- 300
- 150
- 800
- 180
- 320
- 8
- joule (J)
- 150
- 950
- 6
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