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 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Pushing a crate 10 m took 4200 J of work. What force was used, in newtons?
- 4.🏋️ A force of 330 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 5.🏋️ Pushing a crate 4 m took 880 J of work. What force was used, in newtons?
- 6.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 8.🏋️ A force of 180 N did 1620 J of work. How many metres did the object move?
- 9.🏋️ A force of 390 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 10.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ 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)
- 13.🏋️ Pushing a crate 9 m took 2700 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 1 m took 210 J of work. What force was used, in newtons?
- 15.🏋️ A force of 260 N did 780 J of work. How many metres did the object move?
- 16.🏋️ A force of 460 N did 460 J of work. How many metres did the object move?
- 17.🏋️ A force of 500 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 200 N did 400 J of work. How many metres did the object move?
- 19.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 20.🏋️ A force of 470 N did 4700 J of work. How many metres did the object move?
- 21.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 90 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 23.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 25.🏋️ A force of 120 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 7 m took 1610 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 1 m took 170 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 1 m took 330 J of work. What force was used, in newtons?
- 29.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 30.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 31.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 32.🏋️ A force of 260 N did 1300 J of work. How many metres did the object move?
- 33.🏋️ A force of 60 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 410 N did 1640 J of work. How many metres did the object move?
- 36.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 180 N did 1800 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 4 m took 1680 J of work. What force was used, in newtons?
- 39.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
Answer key
- 560
- 260
- 420
- 3300
- 220
- 550
- no, work stays the same
- 9
- 3900
- 450
- 400
- 500
- 300
- 210
- 3
- 1
- 2500
- 2
- joule (J)
- 10
- 160
- 450
- 450
- through a distance
- 840
- 230
- 170
- 330
- 5
- less effort
- load ÷ effort
- 5
- 120
- 2
- 4
- 120
- 10
- 420
- 450
- 2
Free engineering lessons, practice and worksheets at talentjr.in/engineering-for-kids