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 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 2.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 3.🏋️ 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?
- 4.🏋️ A force of 110 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 5.🏋️ 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
- 6.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 7.🏋️ Pushing a crate 1 m took 410 J of work. What force was used, in newtons?
- 8.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 9.🏋️ 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?
- 10.🏋️ A force of 110 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 11.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 12.🏋️ A force of 130 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 13.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 400 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 16.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 17.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 90 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 30 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 1 m took 250 J of work. What force was used, in newtons?
- 21.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 22.🏋️ Pushing a crate 4 m took 200 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 24.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 26.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 27.🏋️ Pushing a crate 5 m took 100 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 6 m took 2520 J of work. What force was used, in newtons?
- 29.🏋️ A force of 160 N did 1440 J of work. How many metres did the object move?
- 30.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ 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?
- 32.🏋️ A force of 470 N did 3290 J of work. How many metres did the object move?
- 33.🏋️ A force of 190 N did 380 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 1 m took 170 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 4 m took 160 J of work. What force was used, in newtons?
- 37.🏋️ A force of 310 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 3 m took 540 J of work. What force was used, in newtons?
- 40.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
Answer key
- 6
- less effort
- 90
- 330
- no, work stays the same
- 2
- 410
- load ÷ effort
- 20
- 550
- through a distance
- 780
- 60
- 1600
- 6
- 5
- 5
- 630
- 300
- 250
- 6
- 50
- 6
- 750
- 2
- joule (J)
- 20
- 420
- 9
- 120
- 120
- 7
- 2
- 170
- 2
- 40
- 310
- 470
- 180
- 2
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