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) the same effort (c) more effort (d) less effort
- 2.🏋️ A force of 250 N did 2500 J of work. How many metres did the object move?
- 3.🏋️ 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?
- 4.🏋️ Pushing a crate 8 m took 1600 J of work. What force was used, in newtons?
- 5.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Pushing a crate 1 m took 480 J of work. What force was used, in newtons?
- 7.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Pushing a crate 8 m took 1120 J of work. What force was used, in newtons?
- 9.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 10.🏋️ Pushing a crate 5 m took 250 J of work. What force was used, in newtons?
- 11.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 12.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 300 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 14.🏋️ 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?
- 15.🏋️ Pushing a crate 10 m took 400 J of work. What force was used, in newtons?
- 16.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 17.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 410 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 220 N did 2200 J of work. How many metres did the object move?
- 20.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 280 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 22.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 25.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 27.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 440 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 33.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 400 N did 2800 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ Pushing a crate 9 m took 4410 J of work. What force was used, in newtons?
Answer key
- less effort
- 10
- 10
- 200
- 110
- 480
- 100
- 140
- 4
- 50
- through a distance
- 350
- 300
- 150
- 40
- joule (J)
- 5
- 820
- 10
- 2
- 2800
- 2
- 250
- load ÷ effort
- 90
- no, work stays the same
- 4
- 880
- 1000
- 500
- 80
- 4
- 200
- 100
- 150
- 50
- 7
- 100
- 300
- 490
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