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 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A force of 470 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 140 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 4.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 7.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 9.🏋️ A force of 320 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 10.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 11.🏋️ A force of 80 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 12.🏋️ Pushing a crate 7 m took 2100 J of work. What force was used, in newtons?
- 13.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Pushing a crate 8 m took 1520 J of work. What force was used, in newtons?
- 16.🏋️ Pushing a crate 1 m took 100 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 4 m took 1200 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 19.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 370 N did 370 J of work. How many metres did the object move?
- 21.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 430 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 100 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 3 m took 1110 J of work. What force was used, in newtons?
- 26.🏋️ A force of 270 N did 2160 J of work. How many metres did the object move?
- 27.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 460 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 450 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 32.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 33.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ Pushing a crate 7 m took 1330 J of work. What force was used, in newtons?
- 35.🏋️ A force of 120 N did 840 J of work. How many metres did the object move?
- 36.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 390 N did 3510 J of work. How many metres did the object move?
- 39.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 290 N pushes a cart 3 m along the floor. How much work is done, in joules?
Answer key
- 240
- 2820
- 1260
- 200
- 250
- less effort
- 800
- no, work stays the same
- 3200
- joule (J)
- 400
- 300
- 350
- 850
- 190
- 100
- 300
- 4
- 750
- 1
- 6
- 3870
- 700
- 5
- 370
- 8
- 50
- 3220
- 240
- 1350
- 30
- load ÷ effort
- 600
- 190
- 7
- 760
- 240
- 9
- 1290
- 870
Free engineering lessons, practice and worksheets at talentjr.in/engineering-for-kids