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 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 380 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 3.🏋️ A 12 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ Pushing a crate 10 m took 2500 J of work. What force was used, in newtons?
- 5.🏋️ Pushing a crate 5 m took 1750 J of work. What force was used, in newtons?
- 6.🏋️ A force of 60 N did 180 J of work. How many metres did the object move?
- 7.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 120 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 10.🏋️ A force of 290 N did 870 J of work. How many metres did the object move?
- 11.🏋️ A 16 kg box is lifted straight up by 1 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) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 13.🏋️ A force of 380 N did 3420 J of work. How many metres did the object move?
- 14.🏋️ A force of 470 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 15.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 17.🏋️ A force of 460 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 230 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 19.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 20.🏋️ A force of 400 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 1 m took 120 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 3 m took 900 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 24.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 20 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 430 N did 3870 J of work. How many metres did the object move?
- 28.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 5 m took 2350 J of work. What force was used, in newtons?
- 30.🏋️ A force of 410 N did 2870 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 5 m took 350 J of work. What force was used, in newtons?
- 32.🏋️ A 4 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.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ Pushing a crate 2 m took 400 J of work. What force was used, in newtons?
- 36.🏋️ A force of 50 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 2 m took 600 J of work. What force was used, in newtons?
- 38.🏋️ A force of 420 N did 1680 J of work. How many metres did the object move?
- 39.🏋️ A 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 440 N pushes a cart 2 m along the floor. How much work is done, in joules?
Answer key
- 6
- 380
- 600
- 250
- 350
- 3
- 5
- 960
- through a distance
- 3
- 160
- no, work stays the same
- 9
- 2350
- 900
- less effort
- 460
- 920
- load ÷ effort
- 1600
- 120
- 300
- 5
- 600
- 4
- 180
- 9
- 2
- 470
- 7
- 70
- 160
- 570
- 510
- 200
- 250
- 300
- 4
- 950
- 880
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