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.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 3.🏋️ Pushing a crate 2 m took 700 J of work. What force was used, in newtons?
- 4.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 5.🏋️ A force of 310 N did 2480 J of work. How many metres did the object move?
- 6.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 190 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 140 N did 560 J of work. How many metres did the object move?
- 9.🏋️ Pushing a crate 9 m took 1350 J of work. What force was used, in newtons?
- 10.🏋️ 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?
- 11.🏋️ A force of 480 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 390 N did 3900 J of work. How many metres did the object move?
- 13.🏋️ A force of 90 N did 630 J of work. How many metres did the object move?
- 14.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 15.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 16.🏋️ 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?
- 17.🏋️ A force of 480 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 7 m took 1540 J of work. What force was used, in newtons?
- 19.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ Pushing a crate 9 m took 180 J of work. What force was used, in newtons?
- 21.🏋️ A force of 430 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 23.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 25.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 26.🏋️ Pushing a crate 2 m took 1000 J of work. What force was used, in newtons?
- 27.🏋️ A force of 400 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 28.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 70 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 31.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 10 N did 80 J of work. How many metres did the object move?
- 33.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ Pushing a crate 2 m took 80 J of work. What force was used, in newtons?
- 35.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ Pushing a crate 1 m took 30 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- joule (J)
- no, work stays the same
- 350
- 2
- 8
- 900
- 1520
- 4
- 150
- 760
- 1440
- 10
- 7
- less effort
- load ÷ effort
- 550
- 4800
- 220
- 900
- 20
- 3440
- 2
- 6
- 2
- through a distance
- 500
- 3600
- 450
- 500
- 140
- 1000
- 8
- 270
- 40
- 40
- 650
- 350
- 600
- 30
- 100
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