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 did 1050 J of work. How many metres did the object move?
- 2.🏋️ 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)
- 3.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A force of 460 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 6.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 7.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 8.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 230 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 10.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 11.🏋️ Pushing a crate 8 m took 2400 J of work. What force was used, in newtons?
- 12.🏋️ A force of 60 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ 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?
- 15.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 10 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 500 N did 3000 J of work. How many metres did the object move?
- 18.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Pushing a crate 3 m took 1050 J of work. What force was used, in newtons?
- 20.🏋️ A force of 490 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 21.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 22.🏋️ Pushing a crate 4 m took 440 J of work. What force was used, in newtons?
- 23.🏋️ 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)
- 24.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
- 26.🏋️ A force of 370 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 27.🏋️ Pushing a crate 8 m took 2960 J of work. What force was used, in newtons?
- 28.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 120 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 390 N did 2340 J of work. How many metres did the object move?
- 31.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 33.🏋️ A 10 kg box is lifted straight up by 1 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 machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 1 m took 230 J of work. What force was used, in newtons?
- 37.🏋️ 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?
- 38.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Pushing a crate 10 m took 4400 J of work. What force was used, in newtons?
- 40.🏋️ A 4 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
- 3
- 300
- 850
- 60
- 2300
- 5
- no, work stays the same
- 500
- 460
- 6
- 300
- 120
- 300
- 360
- 800
- 10
- 6
- 390
- 350
- 2450
- through a distance
- 110
- 550
- 180
- 60
- 370
- 370
- 350
- 600
- 6
- 750
- 2
- 100
- load ÷ effort
- 3
- 230
- 30
- 750
- 440
- 200
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