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 200 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 120 N did 840 J of work. How many metres did the object move?
- 3.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 210 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 60 N did 180 J of work. How many metres did the object move?
- 6.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 250 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 9.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 40 N did 160 J of work. How many metres did the object move?
- 11.🏋️ A force of 320 N did 3200 J of work. How many metres did the object move?
- 12.🏋️ 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)
- 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 machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 15.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 16.🏋️ A force of 370 N did 370 J of work. How many metres did the object move?
- 17.🏋️ A force of 390 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 5 m took 1250 J of work. What force was used, in newtons?
- 19.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 20.🏋️ Pushing a crate 1 m took 80 J of work. What force was used, in newtons?
- 21.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 22.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 380 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 24.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 25.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 30 N did 150 J of work. How many metres did the object move?
- 27.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 190 N did 1330 J of work. How many metres did the object move?
- 29.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 400 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 470 N did 4230 J of work. How many metres did the object move?
- 32.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 9 m took 3060 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 6 m took 2580 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 320 N did 1280 J of work. How many metres did the object move?
- 38.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 40.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 1400
- 7
- 5
- 420
- 3
- 140
- 1000
- 1000
- 5
- 4
- 10
- 250
- 60
- 4
- joule (J)
- 1
- 780
- 250
- load ÷ effort
- 80
- 6
- 750
- 1140
- no, work stays the same
- 200
- 5
- 2
- 7
- 950
- 1600
- 9
- 250
- 340
- 60
- 430
- 2
- 4
- 250
- less effort
- 300
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