| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
| 160% | |
| 1% | |
| 80% | |
| 320% |
Which of these is the formula for kinetic energy?
\(KE = {1 \over 2}mv^2\) |
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\(KE = {1 \over 2}mh^2\) |
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\(KE = mgh\) |
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\(KE = {m \over v^2 }\) |
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.
Which of the following will increase the mechanical advantage of this inclined plane?
shorten the ramp |
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lengthen the ramp |
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increase the force acting at the blue arrow |
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lower the force acting at the blue arrow |
The mechanical advantage (MA) of an inclined plane is the effort distance divided by the resistance distance. In order to increase mechanical advantage, this ratio must increase which means making the effort distance longer and this can be accomplished by lengthening the length of the ramp.
Assuming force applied remains constant, which of the following will result in more work being done?
moving the object with more acceleration |
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moving the object farther |
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increasing the coefficient of friction |
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moving the object with more speed |
Work is accomplished when force is applied to an object: W = Fd where F is force in newtons (N) and d is distance in meters (m). Thus, the more force that must be applied to move an object, the more work is done and the farther an object is moved by exerting force, the more work is done.
A fixed pulley is useful for which of the following?
multiplying the input force |
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changing the direction of the output force |
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multiplying the input distance |
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changing the direction of the input force |
A fixed pulley is used to change the direction of a force and does not multiply the force applied. As such, it has a mechanical advantage of one. The benefit of a fixed pulley is that it can allow the force to be applied at a more convenient angle, for example, pulling downward or horizontally to lift an object instead of upward.