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 machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 2.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Pushing a crate 8 m took 2400 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 6.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 20 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 8.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ 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?
- 10.🏋️ A force of 20 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 250 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 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.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 15.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 170 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 9 m took 90 J of work. What force was used, in newtons?
- 18.🏋️ A force of 440 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 19.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 24.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 80 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 26.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 27.🏋️ Pushing a crate 4 m took 1560 J of work. What force was used, in newtons?
- 28.🏋️ A force of 150 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 8 m took 720 J of work. What force was used, in newtons?
- 30.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 31.🏋️ A force of 170 N did 510 J of work. How many metres did the object move?
- 32.🏋️ A force of 170 N did 1700 J of work. How many metres did the object move?
- 33.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 34.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 35.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 36.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A 12 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.🏋️ Pushing a crate 9 m took 1980 J of work. What force was used, in newtons?
- 39.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 120 N pushes a cart 10 m along the floor. How much work is done, in joules?
Answer key
- 4
- 300
- 950
- 300
- 2
- 4
- 180
- 200
- 130
- 40
- 250
- 360
- 800
- no, work stays the same
- 430
- 1360
- 10
- 1760
- 4
- 1000
- 720
- 1000
- joule (J)
- 840
- 560
- load ÷ effort
- 390
- 600
- 90
- through a distance
- 3
- 10
- less effort
- 4
- 5
- 600
- 360
- 220
- 600
- 1200
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