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 6 m long and rises 2 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Pushing a crate 2 m took 960 J of work. What force was used, in newtons?
- 3.🏋️ A force of 20 N did 40 J of work. How many metres did the object move?
- 4.🏋️ A force of 210 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 140 N did 840 J of work. How many metres did the object move?
- 6.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A force of 250 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 8.🏋️ Pushing a crate 7 m took 140 J of work. What force was used, in newtons?
- 9.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 500 N did 2000 J of work. How many metres did the object move?
- 11.🏋️ Pushing a crate 2 m took 920 J of work. What force was used, in newtons?
- 12.🏋️ Pushing a crate 1 m took 170 J of work. What force was used, in newtons?
- 13.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 14.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ 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?
- 16.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 470 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 7 m took 1260 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 180 N did 900 J of work. How many metres did the object move?
- 21.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) watt hour (d) newton (N)
- 22.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Pushing a crate 1 m took 360 J of work. What force was used, in newtons?
- 24.🏋️ Pushing a crate 9 m took 1710 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 5 m took 1350 J of work. What force was used, in newtons?
- 26.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 220 N did 1100 J of work. How many metres did the object move?
- 28.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 420 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 40 N did 80 J of work. How many metres did the object move?
- 32.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 34.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ Pushing a crate 4 m took 1440 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 3 m took 1260 J of work. What force was used, in newtons?
- 37.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 38.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 39.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 420 N pushes a cart 4 m along the floor. How much work is done, in joules?
Answer key
- 150
- 480
- 2
- 420
- 6
- 60
- 1750
- 20
- 600
- 4
- 460
- 170
- less effort
- 550
- 240
- 3
- 4700
- 180
- 5
- 5
- joule (J)
- 200
- 360
- 190
- 270
- 360
- 5
- 600
- 130
- 1260
- 2
- 950
- 4
- 270
- 360
- 420
- load ÷ effort
- no, work stays the same
- 4
- 1680
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