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 force of 210 N did 420 J of work. How many metres did the object move?
- 2.🏋️ A force of 440 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 3.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 4.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 5.🏋️ Pushing a crate 9 m took 2610 J of work. What force was used, in newtons?
- 6.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 7.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 9.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 11.🏋️ Pushing a crate 8 m took 2640 J of work. What force was used, in newtons?
- 12.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 15.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 250 N did 1000 J of work. How many metres did the object move?
- 18.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 470 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 20.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ Pushing a crate 6 m took 2460 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 8 m took 560 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 40 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 110 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 270 N did 1620 J of work. How many metres did the object move?
- 27.🏋️ A force of 350 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 480 N did 480 J of work. How many metres did the object move?
- 29.🏋️ A force of 300 N did 600 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 2 m took 160 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 5 m took 2500 J of work. What force was used, in newtons?
- 33.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 8 m took 2160 J of work. What force was used, in newtons?
- 37.🏋️ A force of 130 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 270 N did 1350 J of work. How many metres did the object move?
- 39.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 40.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 2
- 1320
- through a distance
- 5
- 290
- no, work stays the same
- 100
- load ÷ effort
- 1000
- less effort
- 330
- 250
- 100
- 4
- 10
- 900
- 4
- 200
- 3760
- 180
- 410
- 70
- 5
- 320
- 660
- 6
- 350
- 1
- 2
- 4
- 80
- 500
- 110
- 50
- 4
- 270
- 1170
- 5
- 6
- 170
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