| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
| 15 lbs. | |
| 12.5 lbs. | |
| 5 lbs. | |
| 10 lbs. |
The mechanical advantage of a wheel and axle is the input radius divided by the output radius:
MA = \( \frac{r_i}{r_o} \)
In this case, the input radius (where the effort force is being applied) is 10 and the output radius (where the resistance is being applied) is 5 for a mechanical advantage of \( \frac{10}{5} \) = 2.0
MA = \( \frac{load}{effort} \) so effort = \( \frac{load}{MA} \) = \( \frac{25 lbs.}{2.0} \) = 12.5 lbs.
Which of these will have the most impact on the kinetic energy of an object?
its mass |
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its speed |
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its weight |
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its direction |
Kinetic energy is the energy of movement and is a function of the mass of an object and its speed: \(KE = {1 \over 2}mv^2\) where m is mass in kilograms, v is speed in meters per second, and KE is in joules. The most impactful quantity to kinetic energy is velocity as an increase in mass increases KE linearly while an increase in speed increases KE exponentially.
The mechanical advantage of a block and tackle is equal to which of the following?
the number of connecting ropes |
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the number of input forces |
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the number of pulleys |
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the number of loads |
Two or more pulleys used together constitute a block and tackle which, unlike a fixed pulley, does impart mechanical advantage as a function of the number of pulleys that make up the arrangement. So, for example, a block and tackle with three pulleys would have a mechanical advantage of three.
The principle of conservation of mechanical energy states that, as long as no other forces are applied, what will remain constant as an object falls?
kinetic energy |
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acceleration |
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total mechanical energy |
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potential energy |
As an object falls, its potential energy is converted into kinetic energy. The principle of conservation of mechanical energy states that, as long as no other forces are applied, total mechanical energy (PE + KE) of the object will remain constant at all points in its descent.
| 600ft⋅lb | |
| 4800ft⋅lb | |
| 2400 ft⋅lb | |
| 1200ft⋅lb |