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 smooth ramp is 9 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 3.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) only on Mondays (d) yes, always
- 4.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 5.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 7.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Pushing a crate 4 m took 680 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 10 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.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 12.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 13.🏋️ Pushing a crate 6 m took 2160 J of work. What force was used, in newtons?
- 14.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 250 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 3 m took 1080 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 19.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 20.🏋️ A 3 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 220 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ Pushing a crate 7 m took 3290 J of work. What force was used, in newtons?
- 23.🏋️ A force of 20 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 30 N did 90 J of work. How many metres did the object move?
- 25.🏋️ Pushing a crate 1 m took 180 J of work. What force was used, in newtons?
- 26.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ 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)
- 28.🏋️ A force of 360 N did 2880 J of work. How many metres did the object move?
- 29.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ Pushing a crate 8 m took 3440 J of work. What force was used, in newtons?
- 31.🏋️ A force of 240 N did 720 J of work. How many metres did the object move?
- 32.🏋️ A force of 140 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 33.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 10 m took 4300 J of work. What force was used, in newtons?
- 37.🏋️ A force of 40 N did 200 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 39.🏋️ 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?
- 40.🏋️ Pushing a crate 3 m took 570 J of work. What force was used, in newtons?
Answer key
- 300
- less effort
- no, work stays the same
- 2
- 3
- 240
- 250
- 170
- load ÷ effort
- 300
- joule (J)
- through a distance
- 360
- 3
- 2500
- 3
- 360
- 4
- 6
- 30
- 1760
- 470
- 120
- 3
- 180
- 280
- 50
- 8
- 100
- 430
- 3
- 840
- 170
- 550
- 2
- 430
- 5
- 3
- 200
- 190
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