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 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 2.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 4.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 5.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 6.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load × effort (d) load + effort
- 7.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A force of 20 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 9.🏋️ 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)
- 10.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 11.🏋️ Pushing a crate 6 m took 2280 J of work. What force was used, in newtons?
- 12.🏋️ Pushing a crate 10 m took 600 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 180 N did 1440 J of work. How many metres did the object move?
- 15.🏋️ Pushing a crate 9 m took 810 J of work. What force was used, in newtons?
- 16.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 17.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 8 m took 3600 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 400 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 22.🏋️ Pushing a crate 1 m took 350 J of work. What force was used, in newtons?
- 23.🏋️ A force of 90 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 60 N did 120 J of work. How many metres did the object move?
- 25.🏋️ A force of 330 N did 2640 J of work. How many metres did the object move?
- 26.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 8 m took 240 J of work. What force was used, in newtons?
- 28.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A force of 300 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 3 m took 780 J of work. What force was used, in newtons?
- 31.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) no, work stays the same (d) only on Mondays
- 32.🏋️ 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?
- 33.🏋️ A force of 320 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 34.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 50 N did 200 J of work. How many metres did the object move?
- 36.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 360 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 370 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 10 m took 1800 J of work. What force was used, in newtons?
Answer key
- 6
- 700
- 6
- through a distance
- 4
- load ÷ effort
- 480
- 80
- 750
- 2
- 380
- 60
- 6
- 8
- 90
- 3
- 550
- 150
- 450
- 6
- 2800
- 350
- 720
- 2
- 8
- 300
- 30
- 120
- 3000
- 260
- no, work stays the same
- 80
- 2880
- 360
- 4
- 300
- 360
- 2
- 3330
- 180
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