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 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 80 N did 400 J of work. How many metres did the object move?
- 3.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 4.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 5.🏋️ A force of 190 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 6.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 7.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 8.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 290 N did 290 J of work. How many metres did the object move?
- 10.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 290 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ Pushing a crate 8 m took 160 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 250 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 190 N did 1520 J of work. How many metres did the object move?
- 17.🏋️ A force of 140 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 170 N did 1530 J of work. How many metres did the object move?
- 19.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 20.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 21.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 22.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Pushing a crate 1 m took 90 J of work. What force was used, in newtons?
- 24.🏋️ A force of 130 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 25.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 26.🏋️ A force of 370 N did 3700 J of work. How many metres did the object move?
- 27.🏋️ A force of 500 N did 2000 J of work. How many metres did the object move?
- 28.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 29.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 410 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 31.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 110 N did 990 J of work. How many metres did the object move?
- 33.🏋️ A force of 110 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 150 N did 1350 J of work. How many metres did the object move?
- 35.🏋️ Pushing a crate 3 m took 810 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
- 37.🏋️ A force of 90 N did 450 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 39.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 40 N did 120 J of work. How many metres did the object move?
Answer key
- 2
- 5
- joule (J)
- less effort
- 190
- load ÷ effort
- 4
- 6
- 1
- 700
- 90
- 580
- 20
- 250
- 1250
- 8
- 840
- 9
- 5
- 6
- no, work stays the same
- 100
- 90
- 910
- through a distance
- 10
- 4
- 10
- 1000
- 4100
- 6
- 9
- 220
- 9
- 270
- 60
- 5
- 5
- 2
- 3
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