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.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 2.🏋️ 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?
- 3.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 4.🏋️ A force of 430 N did 3440 J of work. How many metres did the object move?
- 5.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 7.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ 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?
- 9.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 11.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 13.🏋️ A force of 250 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 60 N did 540 J of work. How many metres did the object move?
- 15.🏋️ Pushing a crate 7 m took 2520 J of work. What force was used, in newtons?
- 16.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 320 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 18.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 20.🏋️ 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?
- 21.🏋️ A force of 30 N did 60 J of work. How many metres did the object move?
- 22.🏋️ Pushing a crate 10 m took 3600 J of work. What force was used, in newtons?
- 23.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ Pushing a crate 6 m took 240 J of work. What force was used, in newtons?
- 25.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 27.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 90 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 1 m took 360 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 31.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 32.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ Pushing a crate 7 m took 3500 J of work. What force was used, in newtons?
- 34.🏋️ A force of 340 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 36.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 3 m took 360 J of work. What force was used, in newtons?
- 38.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 39.🏋️ A smooth ramp is 4 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 490 N pushes a cart 3 m along the floor. How much work is done, in joules?
Answer key
- load ÷ effort
- 720
- joule (J)
- 8
- 100
- 2
- 80
- 50
- 750
- 3
- 40
- no, work stays the same
- 1500
- 9
- 360
- 2
- 1920
- 320
- less effort
- 120
- 2
- 360
- 640
- 40
- 200
- 3
- 900
- 720
- 360
- 5
- 6
- 200
- 500
- 680
- 5
- 900
- 120
- through a distance
- 450
- 1470
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