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 9 m took 2430 J of work. What force was used, in newtons?
- 2.🏋️ 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?
- 3.🏋️ A force of 230 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 4.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 6.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 7.🏋️ 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)
- 8.🏋️ Pushing a crate 7 m took 3150 J of work. What force was used, in newtons?
- 9.🏋️ Pushing a crate 1 m took 50 J of work. What force was used, in newtons?
- 10.🏋️ A force of 110 N did 990 J of work. How many metres did the object move?
- 11.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 12.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) metre (m) (d) watt hour
- 13.🏋️ A force of 430 N did 430 J of work. How many metres did the object move?
- 14.🏋️ A force of 490 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 50 N did 350 J of work. How many metres did the object move?
- 16.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 400 N did 1200 J of work. How many metres did the object move?
- 19.🏋️ Pushing a crate 4 m took 960 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 21.🏋️ Pushing a crate 7 m took 2940 J of work. What force was used, in newtons?
- 22.🏋️ A force of 90 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 23.🏋️ Pushing a crate 4 m took 1280 J of work. What force was used, in newtons?
- 24.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 27.🏋️ Pushing a crate 8 m took 2560 J of work. What force was used, in newtons?
- 28.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ Pushing a crate 9 m took 450 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 3 m took 1140 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 5 m took 50 J of work. What force was used, in newtons?
- 33.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 34.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 36.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ Pushing a crate 7 m took 700 J of work. What force was used, in newtons?
- 38.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ Pushing a crate 8 m took 2160 J of work. What force was used, in newtons?
- 40.🏋️ A force of 470 N did 470 J of work. How many metres did the object move?
Answer key
- 270
- 320
- 1610
- 500
- 6
- less effort
- 350
- 450
- 50
- 9
- no, work stays the same
- joule (J)
- 1
- 1470
- 7
- 450
- 3
- 3
- 240
- 2
- 420
- 450
- 320
- 100
- 800
- load ÷ effort
- 320
- 640
- 950
- 50
- 380
- 10
- through a distance
- 750
- 4
- 90
- 100
- 220
- 270
- 1
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