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.🏋️ 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
- 2.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 3.🏋️ 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?
- 4.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Pushing a crate 4 m took 920 J of work. What force was used, in newtons?
- 7.🏋️ Pushing a crate 9 m took 900 J of work. What force was used, in newtons?
- 8.🏋️ A force of 440 N did 3520 J of work. How many metres did the object move?
- 9.🏋️ Pushing a crate 6 m took 1500 J of work. What force was used, in newtons?
- 10.🏋️ Pushing a crate 5 m took 150 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 12.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 250 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 1 m took 480 J of work. What force was used, in newtons?
- 15.🏋️ 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?
- 16.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 17.🏋️ A force of 160 N did 1440 J of work. How many metres did the object move?
- 18.🏋️ A 12 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.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 20.🏋️ A force of 450 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 21.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 22.🏋️ 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?
- 23.🏋️ A force of 390 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 9 m took 2520 J of work. What force was used, in newtons?
- 25.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 470 N did 470 J of work. How many metres did the object move?
- 27.🏋️ A 12 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 29.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Pushing a crate 8 m took 3840 J of work. What force was used, in newtons?
- 31.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 9 m took 720 J of work. What force was used, in newtons?
- 34.🏋️ A force of 480 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 410 N did 820 J of work. How many metres did the object move?
- 36.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 50 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 38.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 260 N pushes a cart 4 m along the floor. How much work is done, in joules?
Answer key
- no, work stays the same
- 4
- 640
- 350
- 700
- 230
- 100
- 8
- 250
- 30
- 3
- 350
- 2000
- 480
- 30
- through a distance
- 9
- 480
- joule (J)
- 1800
- load ÷ effort
- 100
- 2730
- 280
- 4
- 1
- 600
- 2
- 390
- 480
- 90
- 50
- 80
- 3360
- 2
- 130
- 500
- 120
- 5
- 1040
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