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 machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 80 N did 720 J of work. How many metres did the object move?
- 3.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 4.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 5.🏋️ 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)
- 6.🏋️ Pushing a crate 7 m took 1820 J of work. What force was used, in newtons?
- 7.🏋️ Pushing a crate 4 m took 240 J of work. What force was used, in newtons?
- 8.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, by half (d) yes, always
- 9.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 10.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A force of 220 N did 440 J of work. How many metres did the object move?
- 12.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 30 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 370 N did 1110 J of work. How many metres did the object move?
- 15.🏋️ A force of 50 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 16.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ Pushing a crate 7 m took 2520 J of work. What force was used, in newtons?
- 19.🏋️ Pushing a crate 2 m took 260 J of work. What force was used, in newtons?
- 20.🏋️ Pushing a crate 4 m took 360 J of work. What force was used, in newtons?
- 21.🏋️ A force of 460 N did 3220 J of work. How many metres did the object move?
- 22.🏋️ Pushing a crate 2 m took 60 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 25.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 26.🏋️ Pushing a crate 4 m took 880 J of work. What force was used, in newtons?
- 27.🏋️ A force of 80 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 3 m took 90 J of work. What force was used, in newtons?
- 29.🏋️ A force of 260 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 31.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ Pushing a crate 9 m took 2790 J of work. What force was used, in newtons?
- 33.🏋️ 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)
- 34.🏋️ Pushing a crate 1 m took 310 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 4 m took 640 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 9 m took 2250 J of work. What force was used, in newtons?
- 38.🏋️ 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?
- 39.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 40.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
Answer key
- 5
- 9
- joule (J)
- less effort
- 350
- 260
- 60
- no, work stays the same
- through a distance
- 100
- 2
- 3
- 90
- 3
- 400
- 40
- 760
- 360
- 130
- 90
- 7
- 30
- 2
- 4
- load ÷ effort
- 220
- 80
- 30
- 2340
- 6
- 350
- 310
- 850
- 310
- 5
- 160
- 250
- 240
- 2
- 3
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