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) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 2.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Pushing a crate 4 m took 1840 J of work. What force was used, in newtons?
- 5.🏋️ 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?
- 6.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 7.🏋️ Pushing a crate 6 m took 60 J of work. What force was used, in newtons?
- 8.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 10.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 11.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 180 N did 540 J of work. How many metres did the object move?
- 13.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 50 N did 400 J of work. How many metres did the object move?
- 15.🏋️ A force of 290 N did 2610 J of work. How many metres did the object move?
- 16.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 17.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 18.🏋️ Pushing a crate 3 m took 810 J of work. What force was used, in newtons?
- 19.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 20.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 21.🏋️ Pushing a crate 9 m took 1620 J of work. What force was used, in newtons?
- 22.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 130 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 250 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 31.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 32.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ Pushing a crate 8 m took 2720 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 35.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 36.🏋️ A force of 500 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 37.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 340 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 2 m took 1000 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 5 m took 2450 J of work. What force was used, in newtons?
Answer key
- joule (J)
- 200
- 850
- 460
- 50
- 2
- 10
- 600
- load ÷ effort
- 2
- 2
- 3
- 450
- 8
- 9
- 6
- through a distance
- 270
- no, work stays the same
- 2
- 180
- 330
- 750
- 180
- 130
- 1170
- 850
- 800
- 2
- 1250
- 2
- 180
- 340
- 5
- less effort
- 2500
- 4
- 340
- 500
- 490
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