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 longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 2.🏋️ A force of 140 N did 140 J of work. How many metres did the object move?
- 3.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 5.🏋️ A force of 480 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 6.🏋️ 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?
- 7.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 8.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 440 N did 4400 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 10 m took 2900 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 12.🏋️ 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?
- 13.🏋️ A force of 230 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 1 m took 320 J of work. What force was used, in newtons?
- 15.🏋️ A force of 290 N did 2610 J of work. How many metres did the object move?
- 16.🏋️ A force of 230 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 220 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 18.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Pushing a crate 1 m took 460 J of work. What force was used, in newtons?
- 22.🏋️ A force of 40 N did 320 J of work. How many metres did the object move?
- 23.🏋️ A force of 500 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 440 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 25.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 26.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 28.🏋️ A force of 490 N did 1470 J of work. How many metres did the object move?
- 29.🏋️ A force of 370 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 360 N did 1080 J of work. How many metres did the object move?
- 31.🏋️ A force of 440 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 5 m took 750 J of work. What force was used, in newtons?
- 33.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ An 11 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 force of 60 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 160 N pushes a cart 5 m along the floor. How much work is done, in joules?
Answer key
- less effort
- 1
- 150
- load ÷ effort
- 960
- 640
- no, work stays the same
- 300
- 10
- 290
- 4
- 900
- 690
- 320
- 9
- 2070
- 1100
- 80
- 650
- 200
- 460
- 8
- 5000
- 3520
- joule (J)
- 30
- through a distance
- 3
- 2960
- 3
- 440
- 150
- 240
- 550
- 480
- 4
- 60
- 200
- 6
- 800
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