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.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 3.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 4.🏋️ A force of 410 N did 1230 J of work. How many metres did the object move?
- 5.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 7.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ Pushing a crate 10 m took 1200 J of work. What force was used, in newtons?
- 9.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 10.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 11.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 320 N did 960 J of work. How many metres did the object move?
- 13.🏋️ A force of 200 N did 200 J of work. How many metres did the object move?
- 14.🏋️ Pushing a crate 9 m took 3690 J of work. What force was used, in newtons?
- 15.🏋️ A force of 410 N did 3280 J of work. How many metres did the object move?
- 16.🏋️ A force of 50 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 410 N did 3690 J of work. How many metres did the object move?
- 19.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ Pushing a crate 4 m took 120 J of work. What force was used, in newtons?
- 21.🏋️ A force of 120 N did 120 J of work. How many metres did the object move?
- 22.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 100 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 320 N did 1920 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 2 m took 520 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 8 m took 1280 J of work. What force was used, in newtons?
- 28.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ Pushing a crate 5 m took 1700 J of work. What force was used, in newtons?
- 30.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 34.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 450 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 7 m took 770 J of work. What force was used, in newtons?
- 37.🏋️ 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?
- 38.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 5 m took 550 J of work. What force was used, in newtons?
Answer key
- joule (J)
- no, work stays the same
- through a distance
- 3
- 200
- 4
- 240
- 120
- load ÷ effort
- 3
- 120
- 3
- 1
- 410
- 8
- 50
- 850
- 9
- 550
- 30
- 1
- 650
- 1000
- 400
- 6
- 260
- 160
- 700
- 340
- 750
- 700
- 200
- less effort
- 50
- 2700
- 110
- 270
- 150
- 1290
- 110
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