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.
NameDateTime takenScore ___ / 40
- 1.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 2.🏋️ Pushing a crate 10 m took 4200 J of work. What force was used, in newtons?
- 3.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 300 N did 300 J of work. How many metres did the object move?
- 5.🏋️ A force of 190 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 6.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 7.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 9.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 10.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 11.🏋️ Pushing a crate 6 m took 60 J of work. What force was used, in newtons?
- 12.🏋️ A force of 80 N did 400 J of work. How many metres did the object move?
- 13.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 280 N did 1400 J of work. How many metres did the object move?
- 15.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 16.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 17.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 18.🏋️ 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?
- 19.🏋️ A force of 310 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 170 N did 1530 J of work. How many metres did the object move?
- 21.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 8 m took 1520 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 500 N did 3500 J of work. How many metres did the object move?
- 25.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 40 N did 200 J of work. How many metres did the object move?
- 27.🏋️ A force of 290 N did 2320 J of work. How many metres did the object move?
- 28.🏋️ Pushing a crate 9 m took 1710 J of work. What force was used, in newtons?
- 29.🏋️ Pushing a crate 10 m took 800 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 31.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 190 N did 570 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 7 m took 3220 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 5 m took 2300 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 5 m took 500 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 470 N did 2820 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 200 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 400 N pushes a cart 7 m along the floor. How much work is done, in joules?
Answer key
- less effort
- 420
- 6
- 1
- 190
- through a distance
- 80
- no, work stays the same
- 3
- 4
- 10
- 5
- 950
- 5
- joule (J)
- load ÷ effort
- 4
- 130
- 2790
- 9
- 650
- 190
- 5
- 7
- 6
- 5
- 8
- 190
- 80
- 5
- 160
- 3
- 460
- 460
- 100
- 5
- 6
- 850
- 200
- 2800
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