Answer: d. evaporation and condensation
Water vapor is known as the main fuel that moves the hurricane. The evaporation will cause the water vapor to move upward carrying the latent heat of condensation. The vapor will cause condensation later. If both happen at a very high rate, the wind produced can become a hurricane.
Answer:
dV/dt = 9 cubic inches per second
Explanation:
Let the height of the cylinder is h
Diameter of cylinder = height of the cylinder = h
Radius of cylinder, r = h/2
dh/dt = 3 inches /s
Volume of cylinder is given by
![V = \pi r^{2}h](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20r%5E%7B2%7Dh)
put r = h/2 so,
![V = \pi \frac{h^{3}}{4}](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Cfrac%7Bh%5E%7B3%7D%7D%7B4%7D)
Differentiate both sides with respect to t.
![\frac{dV}{dt}=\frac{3h^{2}}{4}\times \frac{dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B3h%5E%7B2%7D%7D%7B4%7D%5Ctimes%20%5Cfrac%7Bdh%7D%7Bdt%7D)
Substitute the values, h = 2 inches, dh/dt = 3 inches / s
![\frac{dV}{dt}=\frac{3\times 2\times 2}{4}\times 3](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B3%5Ctimes%202%5Ctimes%202%7D%7B4%7D%5Ctimes%203)
dV/dt = 9 cubic inches per second
Thus, the volume of cylinder increases by the rate of 9 cubic inches per second.
<h2>Answer: electrostatic and gravitational force
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Mechanical energy remains constant (conserved) if only <u>conservative forces</u> act on the particles.
In this sense, the following forces are conservative:
-Gravitational
-Elastic
-Electrostatics
While the Friction Force and the Magnetic Force are not conservative.
According to this, mechanical energy is conserved in the presence of electrostatic and gravitational forces.
The answer here is prism. The light passing through prism experiences bending of its multiple wavelength composition which allows it to visibly shows the difference in each of the light's color wavelength, violet bending the most while the least is the color red.