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 280 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 2.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 130 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 460 N did 1840 J of work. How many metres did the object move?
- 5.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 6.🏋️ Pushing a crate 3 m took 1500 J of work. What force was used, in newtons?
- 7.🏋️ Pushing a crate 5 m took 2050 J of work. What force was used, in newtons?
- 8.🏋️ A force of 10 N did 70 J of work. How many metres did the object move?
- 9.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 12.🏋️ Pushing a crate 2 m took 920 J of work. What force was used, in newtons?
- 13.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 14.🏋️ A force of 90 N did 450 J of work. How many metres did the object move?
- 15.🏋️ Pushing a crate 3 m took 1230 J of work. What force was used, in newtons?
- 16.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 17.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ An 18 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 machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 160 N did 1280 J of work. How many metres did the object move?
- 23.🏋️ 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
- 24.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 25.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 440 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 29.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 30.🏋️ Pushing a crate 7 m took 910 J of work. What force was used, in newtons?
- 31.🏋️ A force of 470 N did 3290 J of work. How many metres did the object move?
- 32.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 170 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 140 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 260 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 6 m took 1920 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 10 m took 1000 J of work. What force was used, in newtons?
- 39.🏋️ A force of 220 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 110 N did 550 J of work. How many metres did the object move?
Answer key
- 560
- 6
- 390
- 4
- through a distance
- 500
- 410
- 7
- 50
- 400
- joule (J)
- 460
- less effort
- 5
- 410
- 3
- 150
- 360
- 2
- 250
- 450
- 8
- no, work stays the same
- load ÷ effort
- 30
- 440
- 100
- 2
- 3
- 130
- 7
- 600
- 680
- 1260
- 2340
- 4
- 320
- 100
- 660
- 5
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