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 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 3.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 4.🏋️ Pushing a crate 3 m took 840 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 6.🏋️ 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)
- 7.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A force of 120 N did 240 J of work. How many metres did the object move?
- 9.🏋️ A force of 210 N did 420 J of work. How many metres did the object move?
- 10.🏋️ A force of 410 N did 2460 J of work. How many metres did the object move?
- 11.🏋️ Pushing a crate 2 m took 880 J of work. What force was used, in newtons?
- 12.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 150 N did 600 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 370 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 450 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 17.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 10 N did 20 J of work. How many metres did the object move?
- 19.🏋️ A force of 50 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 20.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 21.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 3 m took 480 J of work. What force was used, in newtons?
- 23.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A force of 360 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 25.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 26.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 6 m took 360 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 32.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 440 N did 880 J of work. How many metres did the object move?
- 35.🏋️ Pushing a crate 3 m took 240 J of work. What force was used, in newtons?
- 36.🏋️ A force of 300 N did 900 J of work. How many metres did the object move?
- 37.🏋️ A force of 330 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 70 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 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.🏋️ Pushing a crate 6 m took 720 J of work. What force was used, in newtons?
Answer key
- 120
- less effort
- through a distance
- 280
- 2
- 1000
- 20
- 2
- 2
- 6
- 440
- 2
- 4
- 550
- 1480
- 2700
- 6
- 2
- 250
- load ÷ effort
- 200
- 160
- 800
- 1080
- no, work stays the same
- 40
- 550
- 750
- 340
- 60
- 3
- 350
- 450
- 2
- 80
- 3
- 2310
- 280
- 150
- 120
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