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 longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 2.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 220 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 6.🏋️ Pushing a crate 9 m took 810 J of work. What force was used, in newtons?
- 7.🏋️ A force of 370 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 8.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 9.🏋️ Pushing a crate 9 m took 720 J of work. What force was used, in newtons?
- 10.🏋️ A force of 20 N did 40 J of work. How many metres did the object move?
- 11.🏋️ 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?
- 12.🏋️ Pushing a crate 3 m took 420 J of work. What force was used, in newtons?
- 13.🏋️ A force of 300 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 150 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ Pushing a crate 3 m took 1170 J of work. What force was used, in newtons?
- 16.🏋️ 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?
- 17.🏋️ A force of 200 N did 800 J of work. How many metres did the object move?
- 18.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 19.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 20.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 21.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ 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)
- 23.🏋️ Pushing a crate 5 m took 1650 J of work. What force was used, in newtons?
- 24.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 25.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 26.🏋️ Pushing a crate 8 m took 2000 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 4 m took 1920 J of work. What force was used, in newtons?
- 30.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ Pushing a crate 1 m took 140 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 9 m took 3960 J of work. What force was used, in newtons?
- 33.🏋️ A force of 190 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 34.🏋️ 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
- 35.🏋️ Pushing a crate 6 m took 780 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 420 N did 4200 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 410 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
Answer key
- less effort
- 150
- 2
- 1100
- 2
- 90
- 740
- load ÷ effort
- 80
- 2
- 320
- 140
- 3000
- 1050
- 390
- 720
- 4
- joule (J)
- 3
- 2
- 650
- 700
- 330
- 3
- 5
- 250
- 900
- 6
- 480
- 400
- 140
- 440
- 190
- no, work stays the same
- 130
- 5
- 10
- 450
- 4100
- 4
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