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.🏋️ Pushing a crate 6 m took 840 J of work. What force was used, in newtons?
- 2.🏋️ Pushing a crate 2 m took 380 J of work. What force was used, in newtons?
- 3.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 4.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 6.🏋️ A force of 370 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 7.🏋️ 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?
- 8.🏋️ Pushing a crate 5 m took 2150 J of work. What force was used, in newtons?
- 9.🏋️ Pushing a crate 1 m took 300 J of work. What force was used, in newtons?
- 10.🏋️ Pushing a crate 4 m took 960 J of work. What force was used, in newtons?
- 11.🏋️ A force of 420 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 12.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 13.🏋️ Pushing a crate 3 m took 960 J of work. What force was used, in newtons?
- 14.🏋️ A force of 90 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 16.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 17.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 9 m took 1980 J of work. What force was used, in newtons?
- 20.🏋️ A force of 260 N did 1300 J of work. How many metres did the object move?
- 21.🏋️ A force of 300 N did 3000 J of work. How many metres did the object move?
- 22.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 23.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 24.🏋️ A force of 350 N did 1750 J of work. How many metres did the object move?
- 25.🏋️ A force of 70 N did 140 J of work. How many metres did the object move?
- 26.🏋️ A force of 170 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 60 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 5 m took 750 J of work. What force was used, in newtons?
- 29.🏋️ A force of 220 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 170 N did 510 J of work. How many metres did the object move?
- 32.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 10 m took 100 J of work. What force was used, in newtons?
- 34.🏋️ 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)
- 35.🏋️ A force of 180 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 300 N did 1200 J of work. How many metres did the object move?
- 37.🏋️ Pushing a crate 1 m took 70 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 40 N did 360 J of work. How many metres did the object move?
- 40.🏋️ A force of 300 N did 600 J of work. How many metres did the object move?
Answer key
- 140
- 190
- less effort
- 340
- load ÷ effort
- 1850
- 120
- 430
- 300
- 240
- 840
- through a distance
- 320
- 90
- 2
- no, work stays the same
- 850
- 500
- 220
- 5
- 10
- 4
- joule (J)
- 5
- 2
- 680
- 600
- 150
- 1980
- 4
- 3
- 600
- 10
- 400
- 540
- 4
- 70
- 300
- 9
- 2
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