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.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 2.🏋️ Pushing a crate 6 m took 240 J of work. What force was used, in newtons?
- 3.🏋️ A force of 70 N did 630 J of work. How many metres did the object move?
- 4.🏋️ A force of 440 N did 3520 J of work. How many metres did the object move?
- 5.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 6.🏋️ Pushing a crate 6 m took 780 J of work. What force was used, in newtons?
- 7.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 8.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 9.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 11.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
- 12.🏋️ A force of 170 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 13.🏋️ Pushing a crate 6 m took 300 J of work. What force was used, in newtons?
- 14.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
- 17.🏋️ A force of 350 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 18.🏋️ 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)
- 19.🏋️ A force of 200 N did 1000 J of work. How many metres did the object move?
- 20.🏋️ Pushing a crate 9 m took 2970 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 7 m took 2660 J of work. What force was used, in newtons?
- 22.🏋️ 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?
- 23.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 26.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 28.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 110 N did 660 J of work. How many metres did the object move?
- 30.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 31.🏋️ A force of 450 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 32.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 70 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 460 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 420 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 36.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 39.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ 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?
Answer key
- through a distance
- 40
- 9
- 8
- joule (J)
- 130
- load ÷ effort
- no, work stays the same
- 280
- 4
- 470
- 1360
- 50
- 120
- 140
- 10
- 2450
- 900
- 5
- 330
- 380
- 330
- 20
- 190
- 4
- 6
- 10
- 3
- 6
- less effort
- 2700
- 60
- 350
- 4140
- 1260
- 400
- 4
- 240
- 600
- 640
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