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.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 3.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 4.🏋️ 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?
- 5.🏋️ A force of 50 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 80 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 7.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 8.🏋️ Pushing a crate 3 m took 750 J of work. What force was used, in newtons?
- 9.🏋️ Pushing a crate 10 m took 3200 J of work. What force was used, in newtons?
- 10.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ 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?
- 12.🏋️ Pushing a crate 4 m took 680 J of work. What force was used, in newtons?
- 13.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Pushing a crate 9 m took 1620 J of work. What force was used, in newtons?
- 15.🏋️ A force of 470 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 17.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 18.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 230 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 100 N did 500 J of work. How many metres did the object move?
- 21.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ Pushing a crate 9 m took 3060 J of work. What force was used, in newtons?
- 23.🏋️ A force of 280 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 25.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 26.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 60 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 28.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 29.🏋️ Pushing a crate 1 m took 340 J of work. What force was used, in newtons?
- 30.🏋️ A force of 380 N did 1140 J of work. How many metres did the object move?
- 31.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 350 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 40 N did 360 J of work. How many metres did the object move?
- 35.🏋️ 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?
- 36.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 350 N did 2100 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 5 m took 250 J of work. What force was used, in newtons?
- 39.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
Answer key
- 240
- less effort
- load ÷ effort
- 170
- 400
- 240
- 2
- 250
- 320
- 70
- 360
- 170
- 750
- 180
- 1410
- 4
- joule (J)
- 4
- 920
- 5
- 120
- 340
- 2800
- through a distance
- 2
- 900
- 480
- no, work stays the same
- 340
- 3
- 3
- 2
- 2450
- 9
- 280
- 550
- 6
- 50
- 300
- 4
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