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 450 N did 1350 J of work. How many metres did the object move?
- 2.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 3.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 4.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 320 N did 2240 J of work. How many metres did the object move?
- 7.🏋️ Pushing a crate 3 m took 510 J of work. What force was used, in newtons?
- 8.🏋️ A force of 210 N did 2100 J of work. How many metres did the object move?
- 9.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 10.🏋️ A force of 360 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 11.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 450 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 430 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 140 N did 1260 J of work. How many metres did the object move?
- 15.🏋️ A force of 370 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 420 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 17.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) effort ÷ load (d) load × effort
- 18.🏋️ A 4 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.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 20.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 480 N did 1440 J of work. How many metres did the object move?
- 22.🏋️ A force of 70 N did 420 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 24.🏋️ Pushing a crate 1 m took 40 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 1 m took 330 J of work. What force was used, in newtons?
- 26.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 170 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 480 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 9 m took 3690 J of work. What force was used, in newtons?
- 30.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A force of 400 N did 400 J of work. How many metres did the object move?
- 32.🏋️ A force of 270 N did 1620 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 140 N did 420 J of work. How many metres did the object move?
- 37.🏋️ 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?
- 38.🏋️ A force of 220 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 240 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 40.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 3
- no, work stays the same
- less effort
- 150
- 4
- 7
- 170
- 10
- through a distance
- 360
- 550
- 450
- 3440
- 9
- 1110
- 2520
- load ÷ effort
- 80
- joule (J)
- 650
- 3
- 6
- 3
- 40
- 330
- 270
- 850
- 480
- 410
- 200
- 1
- 6
- 340
- 600
- 250
- 3
- 170
- 2200
- 240
- 300
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