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 350 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 260 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 3.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 450 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 150 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 7.🏋️ 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?
- 8.🏋️ A force of 80 N did 480 J of work. How many metres did the object move?
- 9.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 10.🏋️ Pushing a crate 4 m took 160 J of work. What force was used, in newtons?
- 11.🏋️ A force of 240 N did 1440 J of work. How many metres did the object move?
- 12.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 13.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 320 N did 2880 J of work. How many metres did the object move?
- 15.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 16.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 17.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ 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)
- 20.🏋️ A force of 260 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 21.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A 1 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.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 24.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 9 m took 4410 J of work. What force was used, in newtons?
- 26.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 3 m took 660 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 9 m took 3060 J of work. What force was used, in newtons?
- 29.🏋️ 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?
- 30.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 31.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 50 N did 350 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 2 m took 680 J of work. What force was used, in newtons?
- 35.🏋️ A force of 460 N did 3680 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 6 m took 900 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 38.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 170 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
Answer key
- 2800
- 260
- 300
- 130
- 1350
- 750
- 80
- 6
- 3
- 40
- 6
- through a distance
- 550
- 9
- load ÷ effort
- joule (J)
- 280
- 400
- 450
- 2600
- 400
- 30
- no, work stays the same
- 4
- 490
- 4
- 220
- 340
- 330
- 920
- 750
- 4
- 7
- 340
- 8
- 150
- 5
- 2
- 1020
- 6
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