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.
NameDateTime takenScore ___ / 40
- 1.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 2.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 5.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Pushing a crate 5 m took 1300 J of work. What force was used, in newtons?
- 7.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 8.🏋️ A force of 80 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 9.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 420 N did 3360 J of work. How many metres did the object move?
- 11.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 12.🏋️ Pushing a crate 7 m took 1260 J of work. What force was used, in newtons?
- 13.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 14.🏋️ Pushing a crate 2 m took 240 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 2 m took 40 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ Pushing a crate 10 m took 2300 J of work. What force was used, in newtons?
- 18.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Pushing a crate 6 m took 2580 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 21.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 350 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 23.🏋️ Pushing a crate 2 m took 300 J of work. What force was used, in newtons?
- 24.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 25.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ Pushing a crate 10 m took 1500 J of work. What force was used, in newtons?
- 28.🏋️ A force of 260 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 20 N did 180 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ 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
- 35.🏋️ Pushing a crate 1 m took 300 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ A 12 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 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 10 N did 40 J of work. How many metres did the object move?
Answer key
- 5
- 180
- 250
- load ÷ effort
- 200
- 260
- joule (J)
- 720
- 3
- 8
- 2
- 180
- less effort
- 120
- 20
- 400
- 230
- 120
- 430
- 2
- 300
- 1400
- 150
- 840
- 750
- 80
- 150
- 2340
- 400
- 100
- 500
- 9
- 400
- no, work stays the same
- 300
- 3
- 130
- 480
- 100
- 4
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