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 11 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 machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 3.🏋️ 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
- 4.🏋️ A force of 440 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 5.🏋️ 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?
- 6.🏋️ Pushing a crate 7 m took 560 J of work. What force was used, in newtons?
- 7.🏋️ Pushing a crate 7 m took 1400 J of work. What force was used, in newtons?
- 8.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 9.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Pushing a crate 10 m took 1300 J of work. What force was used, in newtons?
- 11.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 12.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 13.🏋️ Pushing a crate 3 m took 1350 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 1 m took 240 J of work. What force was used, in newtons?
- 15.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 16.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 18.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 21.🏋️ Pushing a crate 3 m took 1320 J of work. What force was used, in newtons?
- 22.🏋️ A force of 350 N did 3500 J of work. How many metres did the object move?
- 23.🏋️ A force of 430 N did 430 J of work. How many metres did the object move?
- 24.🏋️ A force of 100 N did 300 J of work. How many metres did the object move?
- 25.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 7 m took 1960 J of work. What force was used, in newtons?
- 28.🏋️ A force of 310 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 10 m took 2600 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 31.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 32.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 34.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 490 N did 4410 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 2 m took 60 J of work. What force was used, in newtons?
- 37.🏋️ A 10 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 9 m took 3960 J of work. What force was used, in newtons?
- 39.🏋️ A force of 40 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 2 m took 240 J of work. What force was used, in newtons?
Answer key
- 330
- 5
- no, work stays the same
- 3960
- 120
- 80
- 200
- less effort
- 200
- 130
- through a distance
- joule (J)
- 450
- 240
- 6
- 300
- 3
- 700
- 150
- 6
- 440
- 10
- 1
- 3
- 850
- 20
- 280
- 1550
- 260
- 4
- 5
- 120
- 3
- 600
- 9
- 30
- 100
- 440
- 280
- 120
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