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 force of 80 N did 720 J of work. How many metres did the object move?
- 2.🏋️ 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)
- 3.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 4.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 100 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 6.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 8.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 9.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 10.🏋️ Pushing a crate 9 m took 2430 J of work. What force was used, in newtons?
- 11.🏋️ Pushing a crate 8 m took 3200 J of work. What force was used, in newtons?
- 12.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ Pushing a crate 4 m took 280 J of work. What force was used, in newtons?
- 14.🏋️ A force of 120 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 15.🏋️ Pushing a crate 8 m took 3520 J of work. What force was used, in newtons?
- 16.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 3 m took 600 J of work. What force was used, in newtons?
- 18.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 460 N did 1840 J of work. How many metres did the object move?
- 20.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ 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
- 22.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 350 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 10 m took 1100 J of work. What force was used, in newtons?
- 25.🏋️ A force of 250 N did 2500 J of work. How many metres did the object move?
- 26.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 27.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 100 N did 200 J of work. How many metres did the object move?
- 29.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 40 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 30 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 50 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 33.🏋️ A 19 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.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 35.🏋️ A force of 370 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 39.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 9
- 850
- joule (J)
- 500
- 200
- 300
- 5
- 4
- less effort
- 270
- 400
- 550
- 70
- 120
- 440
- 3
- 200
- 950
- 4
- 450
- no, work stays the same
- 5
- 2450
- 110
- 10
- 4
- 5
- 2
- 3
- 120
- 180
- 500
- 570
- load ÷ effort
- 1480
- 900
- 800
- through a distance
- 150
- 750
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