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.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 3.🏋️ Pushing a crate 10 m took 500 J of work. What force was used, in newtons?
- 4.🏋️ A force of 170 N did 340 J of work. How many metres did the object move?
- 5.🏋️ 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)
- 6.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 7.🏋️ A force of 140 N did 980 J of work. How many metres did the object move?
- 8.🏋️ A force of 110 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 9.🏋️ Pushing a crate 2 m took 380 J of work. What force was used, in newtons?
- 10.🏋️ A force of 220 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 80 N did 320 J of work. How many metres did the object move?
- 12.🏋️ Pushing a crate 2 m took 120 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 14.🏋️ Pushing a crate 6 m took 2340 J of work. What force was used, in newtons?
- 15.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 490 N did 2940 J of work. How many metres did the object move?
- 18.🏋️ A 2 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.🏋️ Pushing a crate 2 m took 980 J of work. What force was used, in newtons?
- 20.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 180 N did 1620 J of work. How many metres did the object move?
- 22.🏋️ A force of 340 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 400 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 10 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 25.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 26.🏋️ A 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 420 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 300 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 9 m took 540 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 3 m took 510 J of work. What force was used, in newtons?
- 32.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 9 m took 3330 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 6 m took 840 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 7 m took 1820 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 7 m took 2240 J of work. What force was used, in newtons?
- 39.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 2 m took 560 J of work. What force was used, in newtons?
Answer key
- load ÷ effort
- no, work stays the same
- 50
- 2
- 150
- joule (J)
- 7
- 440
- 190
- 1540
- 4
- 60
- 5
- 390
- 100
- 480
- 6
- 40
- 490
- 550
- 9
- 680
- 800
- 90
- through a distance
- 150
- 1680
- 600
- 60
- 5
- 170
- 200
- 370
- 140
- 4
- 260
- 4
- 320
- 4
- 280
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