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 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 2.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 3.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ 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?
- 5.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 6.🏋️ A 1 kg box is lifted straight up by 2 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) through a distance (c) without moving it (d) only upwards
- 8.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 9.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 170 N did 1360 J of work. How many metres did the object move?
- 11.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 12.🏋️ 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?
- 13.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 390 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 17.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 18.🏋️ Pushing a crate 10 m took 2600 J of work. What force was used, in newtons?
- 19.🏋️ A force of 270 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 10 m took 2300 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 150 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 26.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 5 m took 2150 J of work. What force was used, in newtons?
- 28.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 29.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 370 N did 3330 J of work. How many metres did the object move?
- 31.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 340 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 420 N did 3360 J of work. How many metres did the object move?
- 35.🏋️ Pushing a crate 3 m took 1020 J of work. What force was used, in newtons?
- 36.🏋️ A force of 450 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 37.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 490 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 40.🏋️ 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?
Answer key
- 4
- joule (J)
- 200
- 150
- less effort
- 20
- through a distance
- no, work stays the same
- 2
- 8
- load ÷ effort
- 330
- 250
- 850
- 4
- 1170
- 3
- 260
- 1620
- 400
- 850
- 230
- 500
- 650
- 600
- 1000
- 430
- 3
- 550
- 9
- 6
- 340
- 4
- 8
- 340
- 3150
- 150
- 600
- 2450
- 900
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