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 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 2.🏋️ Pushing a crate 6 m took 1740 J of work. What force was used, in newtons?
- 3.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 100 N did 100 J of work. How many metres did the object move?
- 5.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 6.🏋️ Pushing a crate 3 m took 450 J of work. What force was used, in newtons?
- 7.🏋️ A force of 350 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 8.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 9.🏋️ A force of 50 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 11.🏋️ A force of 490 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 12.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 130 N did 520 J of work. How many metres did the object move?
- 14.🏋️ Pushing a crate 3 m took 1200 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 2 m took 440 J of work. What force was used, in newtons?
- 16.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 17.🏋️ A 6 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.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 19.🏋️ A force of 100 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 20.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
- 21.🏋️ A force of 200 N did 2000 J of work. How many metres did the object move?
- 22.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 23.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ Pushing a crate 3 m took 1170 J of work. What force was used, in newtons?
- 25.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 26.🏋️ Pushing a crate 6 m took 2700 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 500 N did 1000 J of work. How many metres did the object move?
- 30.🏋️ A force of 310 N did 620 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 1 m took 380 J of work. What force was used, in newtons?
- 32.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 34.🏋️ 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?
- 35.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 4 m took 200 J of work. What force was used, in newtons?
- 37.🏋️ A force of 450 N did 2700 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 40.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
Answer key
- 6
- 290
- 800
- 1
- 6
- 150
- 3150
- less effort
- 50
- 1
- 4900
- 150
- 4
- 400
- 220
- 6
- 120
- joule (J)
- 1000
- no, work stays the same
- 10
- through a distance
- 390
- 390
- 2
- 450
- 500
- 3
- 2
- 2
- 380
- 50
- 2
- 130
- 400
- 50
- 6
- 650
- 4
- 5
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