Answer: 50J
Explanation:
Mechanical energy follows the same principles of kinetic energy and potential energy, it is conserved. So Ei = Ef.
Mechanical energy is the sum of ALL energy's. There is no friction, so its just kinetic plus potential.
37.5 + 12.5 = 50J
Since the particle has not touched the ground, it has not transferred any energy to the ground yet, therefore the mechanical energy must still be 50J; mostly in kinetic energy with a very small amount of potential because of the low height relative to the ground.
Answer:
d.The wavelength of light and the size of the aperture
Explanation:
<em>The resolution power of an optical system is the smallest distance between two points that the device can distinguish clearly.</em>
It has the following relationship:
![r=\frac{\lambda}{2n}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B%5Clambda%7D%7B2n%7D)
where:
r = minimum resolvable distance
n = numerical aperture
= wavelength of the light used for viewing
From above mathematical equation it is clear that:
- Smaller the wavelength better the resolving power
- Larger the aperture better the resolution
(Note, that smaller the value of "r" the more finer details of the image visible through the device.)
Answer: D. the wave has traveled 97.2 cm in 1 second.
Explanation:
Got it right on edge, hope this helps :)
Answer:
333.3 m
Explanation:
Given
![m =100g\ =\ 0.1kg\\v = 100 m/s\\g = 10 m/s ^2](https://tex.z-dn.net/?f=m%20%3D100g%5C%20%3D%5C%20%200.1kg%5C%5Cv%20%3D%20100%20m%2Fs%5C%5Cg%20%3D%2010%20m%2Fs%20%5E2)
Potential energy =
......Equation(1)
We know that
Potential energy=mgh
Kinetic energy =![\frac{1}{2} mv^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20mv%5E%7B2%7D)
Now From the Equation(1)
![mgh=\frac{2}{3}*\frac{1}{2} mv^{2}\\ gh=\frac{v^{2} }{3} \\10 * h=\ \frac{10000}{3}\\ h=\ \frac{1000}{3} \\h=333.3\ m](https://tex.z-dn.net/?f=mgh%3D%5Cfrac%7B2%7D%7B3%7D%2A%5Cfrac%7B1%7D%7B2%7D%20mv%5E%7B2%7D%5C%5C%20%20gh%3D%5Cfrac%7Bv%5E%7B2%7D%20%7D%7B3%7D%20%5C%5C10%20%2A%20h%3D%5C%20%5Cfrac%7B10000%7D%7B3%7D%5C%5C%20h%3D%5C%20%5Cfrac%7B1000%7D%7B3%7D%20%5C%5Ch%3D333.3%5C%20%20m)