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 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 2.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 4.🏋️ Pushing a crate 8 m took 160 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 6.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 8.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ 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
- 10.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 90 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 12.🏋️ 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?
- 13.🏋️ A force of 470 N did 2820 J of work. How many metres did the object move?
- 14.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 15.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 16.🏋️ Pushing a crate 4 m took 280 J of work. What force was used, in newtons?
- 17.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 430 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 110 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 70 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 180 N did 360 J of work. How many metres did the object move?
- 22.🏋️ A force of 330 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 480 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 7 m took 910 J of work. What force was used, in newtons?
- 25.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 28.🏋️ A force of 340 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 30.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 32.🏋️ Pushing a crate 8 m took 1920 J of work. What force was used, in newtons?
- 33.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 35.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 36.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 37.🏋️ A force of 300 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 30 N did 30 J of work. How many metres did the object move?
- 39.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ Pushing a crate 7 m took 2660 J of work. What force was used, in newtons?
Answer key
- 3
- 600
- through a distance
- 20
- 2
- 850
- 5
- 600
- no, work stays the same
- 5
- 360
- 390
- 6
- 6
- less effort
- 70
- 2
- 4300
- 550
- 630
- 2
- 1650
- 2400
- 130
- 750
- 100
- load ÷ effort
- 3400
- 6
- 10
- 2
- 240
- 900
- 3
- 4
- joule (J)
- 2400
- 1
- 800
- 380
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