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.
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- 1.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load × effort (d) load + effort
- 3.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 270 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 170 N did 1700 J of work. How many metres did the object move?
- 6.🏋️ A force of 200 N did 1800 J of work. How many metres did the object move?
- 7.🏋️ A force of 120 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 8.🏋️ Pushing a crate 7 m took 70 J of work. What force was used, in newtons?
- 9.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 10.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 12.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 13.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 15.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 450 N did 1800 J of work. How many metres did the object move?
- 17.🏋️ A force of 260 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 120 N did 720 J of work. How many metres did the object move?
- 20.🏋️ A force of 480 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 21.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 23.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 24.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 25.🏋️ A force of 290 N did 2030 J of work. How many metres did the object move?
- 26.🏋️ A force of 70 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ Pushing a crate 2 m took 400 J of work. What force was used, in newtons?
- 28.🏋️ A force of 430 N did 3440 J of work. How many metres did the object move?
- 29.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 30.🏋️ A force of 90 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 31.🏋️ Pushing a crate 5 m took 300 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 7 m took 2170 J of work. What force was used, in newtons?
- 33.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 80 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 35.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 10 m took 4800 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 3 m took 720 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 7 m took 2310 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 450
- load ÷ effort
- 5
- 1080
- 10
- 9
- 240
- 10
- 4
- 550
- 6
- through a distance
- 120
- 3
- 5
- 4
- 2340
- 2
- 6
- 4320
- 700
- 6
- 3
- no, work stays the same
- 7
- 210
- 200
- 8
- less effort
- 810
- 60
- 310
- 2
- 800
- 4
- 6
- 480
- 240
- 330
- 400
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