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 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 3.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 4.🏋️ A force of 150 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 380 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 7.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 8.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 9.🏋️ A force of 240 N did 1680 J of work. How many metres did the object move?
- 10.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 11.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 130 N did 650 J of work. How many metres did the object move?
- 13.🏋️ Pushing a crate 4 m took 320 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 110 N did 550 J of work. How many metres did the object move?
- 16.🏋️ A force of 70 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 4 m took 200 J of work. What force was used, in newtons?
- 18.🏋️ 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?
- 19.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 120 N did 1200 J of work. How many metres did the object move?
- 21.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 22.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Pushing a crate 3 m took 720 J of work. What force was used, in newtons?
- 24.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ Pushing a crate 2 m took 220 J of work. What force was used, in newtons?
- 26.🏋️ A force of 110 N did 440 J of work. How many metres did the object move?
- 27.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 340 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 30.🏋️ An 8 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 33.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 230 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 35.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 5 m took 700 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 5 m took 1700 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 1 m took 250 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
Answer key
- 90
- 5
- less effort
- 1050
- 4
- 2660
- through a distance
- joule (J)
- 7
- load ÷ effort
- 950
- 5
- 80
- 650
- 5
- 560
- 50
- 560
- 900
- 10
- no, work stays the same
- 500
- 240
- 720
- 110
- 4
- 40
- 100
- 340
- 320
- 300
- 3
- 3
- 920
- 5
- 5
- 140
- 340
- 250
- 280
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