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 370 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 2.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 4.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 5.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 6.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 7.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 8.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 9.🏋️ A force of 470 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 10.🏋️ Pushing a crate 1 m took 360 J of work. What force was used, in newtons?
- 11.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 13.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 14.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 15.🏋️ Pushing a crate 1 m took 310 J of work. What force was used, in newtons?
- 16.🏋️ A force of 370 N did 1480 J of work. How many metres did the object move?
- 17.🏋️ A force of 30 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 18.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 110 N did 220 J of work. How many metres did the object move?
- 20.🏋️ A force of 170 N did 1190 J of work. How many metres did the object move?
- 21.🏋️ Pushing a crate 9 m took 540 J of work. What force was used, in newtons?
- 22.🏋️ A force of 230 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 410 N did 4100 J of work. How many metres did the object move?
- 24.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 25.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 26.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 3 m took 1500 J of work. What force was used, in newtons?
- 28.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 8 m took 560 J of work. What force was used, in newtons?
- 30.🏋️ A force of 490 N did 490 J of work. How many metres did the object move?
- 31.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 340 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 4 m took 280 J of work. What force was used, in newtons?
- 37.🏋️ A force of 160 N did 1600 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 5 m took 1100 J of work. What force was used, in newtons?
- 39.🏋️ A force of 420 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 60 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- 370
- 4
- 100
- 6
- joule (J)
- load ÷ effort
- less effort
- through a distance
- 1410
- 360
- 300
- 240
- 2
- 2
- 310
- 4
- 30
- 20
- 2
- 7
- 60
- 1150
- 10
- no, work stays the same
- 3
- 150
- 500
- 600
- 70
- 1
- 250
- 600
- 4
- 680
- 3
- 70
- 10
- 220
- 2940
- 480
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