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.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 2.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
- 5.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 450 N did 1800 J of work. How many metres did the object move?
- 7.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 8.🏋️ Pushing a crate 9 m took 3510 J of work. What force was used, in newtons?
- 9.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 10.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 11.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 390 N did 1170 J of work. How many metres did the object move?
- 13.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 15.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A force of 60 N did 600 J of work. How many metres did the object move?
- 17.🏋️ A force of 60 N did 360 J of work. How many metres did the object move?
- 18.🏋️ A force of 470 N did 4230 J of work. How many metres did the object move?
- 19.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 20.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 360 N did 2880 J of work. How many metres did the object move?
- 22.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 230 N did 1380 J of work. How many metres did the object move?
- 28.🏋️ A force of 190 N did 190 J of work. How many metres did the object move?
- 29.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 32.🏋️ Pushing a crate 3 m took 1140 J of work. What force was used, in newtons?
- 33.🏋️ A force of 50 N did 150 J of work. How many metres did the object move?
- 34.🏋️ A force of 200 N did 400 J of work. How many metres did the object move?
- 35.🏋️ A force of 140 N did 140 J of work. How many metres did the object move?
- 36.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ 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?
- 39.🏋️ Pushing a crate 8 m took 1520 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- through a distance
- 500
- 500
- 340
- 150
- 4
- no, work stays the same
- 390
- load ÷ effort
- 3
- 6
- 3
- 800
- 3
- 260
- 10
- 6
- 9
- joule (J)
- 60
- 8
- 5
- 350
- 650
- 300
- 850
- 6
- 1
- 240
- 60
- less effort
- 380
- 3
- 2
- 1
- 130
- 50
- 100
- 190
- 700
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