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.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 2.🏋️ A force of 90 N did 720 J of work. How many metres did the object move?
- 3.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 4.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 6.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 7.🏋️ 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)
- 8.🏋️ A force of 240 N did 720 J of work. How many metres did the object move?
- 9.🏋️ A force of 410 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 10.🏋️ Pushing a crate 5 m took 300 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 12.🏋️ 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?
- 13.🏋️ Pushing a crate 3 m took 900 J of work. What force was used, in newtons?
- 14.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 15.🏋️ A 7 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.🏋️ Pushing a crate 7 m took 1190 J of work. What force was used, in newtons?
- 17.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 220 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 5 m took 850 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 4 m took 800 J of work. What force was used, in newtons?
- 22.🏋️ A force of 170 N did 510 J of work. How many metres did the object move?
- 23.🏋️ 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
- 24.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 450 N did 1350 J of work. How many metres did the object move?
- 26.🏋️ A force of 110 N did 550 J of work. How many metres did the object move?
- 27.🏋️ Pushing a crate 6 m took 1980 J of work. What force was used, in newtons?
- 28.🏋️ 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?
- 29.🏋️ A force of 430 N did 430 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 10 m took 800 J of work. What force was used, in newtons?
- 31.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Pushing a crate 3 m took 210 J of work. What force was used, in newtons?
- 33.🏋️ A force of 480 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 280 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 360 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 290 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 37.🏋️ A 1 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.🏋️ Pushing a crate 8 m took 3600 J of work. What force was used, in newtons?
- 39.🏋️ A force of 90 N did 90 J of work. How many metres did the object move?
- 40.🏋️ 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?
Answer key
- load ÷ effort
- 8
- 3
- 750
- through a distance
- less effort
- 150
- 3
- 820
- 60
- 6
- 360
- 300
- joule (J)
- 140
- 170
- 80
- 50
- 1760
- 170
- 200
- 3
- no, work stays the same
- 300
- 3
- 5
- 330
- 80
- 1
- 80
- 320
- 70
- 1440
- 560
- 2880
- 580
- 10
- 450
- 1
- 150
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