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 3 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 3.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 4.🏋️ Pushing a crate 3 m took 570 J of work. What force was used, in newtons?
- 5.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 6.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 7.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 8.🏋️ Pushing a crate 3 m took 510 J of work. What force was used, in newtons?
- 9.🏋️ A force of 300 N did 1200 J of work. How many metres did the object move?
- 10.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 50 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 170 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 13.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 190 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 16.🏋️ Pushing a crate 5 m took 1350 J of work. What force was used, in newtons?
- 17.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 18.🏋️ Pushing a crate 7 m took 2730 J of work. What force was used, in newtons?
- 19.🏋️ A force of 400 N did 4000 J of work. How many metres did the object move?
- 20.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 350 N did 3150 J of work. How many metres did the object move?
- 22.🏋️ A force of 360 N did 720 J of work. How many metres did the object move?
- 23.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ 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)
- 25.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 500 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 27.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ 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?
- 29.🏋️ Pushing a crate 8 m took 80 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 31.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 32.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 450 N did 900 J of work. How many metres did the object move?
- 34.🏋️ A force of 450 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 7 m took 2870 J of work. What force was used, in newtons?
- 36.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 38.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 360 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 10 m took 4600 J of work. What force was used, in newtons?
Answer key
- 900
- through a distance
- load ÷ effort
- 190
- joule (J)
- less effort
- 3
- 170
- 4
- 150
- 250
- 510
- 950
- 380
- 6
- 270
- no, work stays the same
- 390
- 10
- 2
- 9
- 2
- 950
- 950
- 6
- 2500
- 390
- 300
- 10
- 4
- 6
- 50
- 2
- 4500
- 410
- 350
- 4
- 5
- 3240
- 460
Free engineering lessons, practice and worksheets at talentjr.in/engineering-for-kids