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 smooth ramp is 12 m long and rises 2 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Pushing a crate 5 m took 1850 J of work. What force was used, in newtons?
- 3.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 4.🏋️ 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
- 5.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 6.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 7.🏋️ A force of 210 N did 210 J of work. How many metres did the object move?
- 8.🏋️ Pushing a crate 3 m took 570 J of work. What force was used, in newtons?
- 9.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 10.🏋️ A force of 50 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 12.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 150 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 290 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 100 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 310 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 370 N did 2960 J of work. How many metres did the object move?
- 20.🏋️ A force of 90 N did 90 J of work. How many metres did the object move?
- 21.🏋️ A force of 440 N did 1760 J of work. How many metres did the object move?
- 22.🏋️ A force of 40 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 23.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 26.🏋️ Pushing a crate 2 m took 320 J of work. What force was used, in newtons?
- 27.🏋️ A force of 120 N did 120 J of work. How many metres did the object move?
- 28.🏋️ Pushing a crate 8 m took 1600 J of work. What force was used, in newtons?
- 29.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 60 N did 180 J of work. How many metres did the object move?
- 31.🏋️ A force of 360 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 32.🏋️ 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)
- 33.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 36.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 7 m took 3010 J of work. What force was used, in newtons?
- 39.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 500 N did 4500 J of work. How many metres did the object move?
Answer key
- 1000
- 370
- load ÷ effort
- no, work stays the same
- 2
- less effort
- 1
- 190
- joule (J)
- 300
- 3
- 150
- 3
- 1050
- 2
- 290
- 100
- 620
- 8
- 1
- 4
- 280
- 150
- 80
- 3
- 160
- 1
- 200
- 160
- 3
- 3600
- 500
- 550
- 500
- 3
- 900
- 3
- 430
- 1000
- 9
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