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 430 N did 860 J of work. How many metres did the object move?
- 2.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 4.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 5.🏋️ 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
- 6.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 7.🏋️ Pushing a crate 1 m took 310 J of work. What force was used, in newtons?
- 8.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 10.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A force of 350 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 12.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 390 N did 2340 J of work. How many metres did the object move?
- 14.🏋️ A force of 480 N did 1440 J of work. How many metres did the object move?
- 15.🏋️ A force of 350 N did 1400 J of work. How many metres did the object move?
- 16.🏋️ A force of 140 N did 420 J of work. How many metres did the object move?
- 17.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 19.🏋️ A 12 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 480 N did 480 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 1 m took 230 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 10 m took 800 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 7 m took 3360 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 6 m took 2460 J of work. What force was used, in newtons?
- 28.🏋️ A force of 450 N did 900 J of work. How many metres did the object move?
- 29.🏋️ Pushing a crate 1 m took 440 J of work. What force was used, in newtons?
- 30.🏋️ 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?
- 31.🏋️ 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?
- 32.🏋️ A force of 50 N did 150 J of work. How many metres did the object move?
- 33.🏋️ A 9 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.🏋️ A force of 180 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 470 N did 4700 J of work. How many metres did the object move?
- 37.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 38.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Pushing a crate 9 m took 630 J of work. What force was used, in newtons?
- 40.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
Answer key
- 2
- 760
- load ÷ effort
- 2
- no, work stays the same
- 5
- 310
- 150
- joule (J)
- 420
- 1400
- 5
- 6
- 3
- 4
- 3
- 600
- through a distance
- 480
- 900
- 600
- 5
- 1
- 230
- 80
- 480
- 410
- 2
- 440
- 450
- 60
- 3
- 270
- 360
- 550
- 10
- less effort
- 100
- 70
- 6
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