No. We aren't the same age as the universe.
V = u + at
0 = u -9.8 x 5.5
u = 9.8 x 5.5 = 53.9 m/s
Answer:
The level of the root beer is dropping at a rate of 0.08603 cm/s.
Explanation:
The volume of the cone is :
![V=\frac {1}{3}\times \pi\times r^2\times h](https://tex.z-dn.net/?f=V%3D%5Cfrac%20%7B1%7D%7B3%7D%5Ctimes%20%5Cpi%5Ctimes%20r%5E2%5Ctimes%20h)
Where, V is the volume of the cone
r is the radius of the cone
h is the height of the cone
The ratio of the radius and the height remains constant in overall the cone.
Thus, given that, r = d / 2 = 10 / 2 cm = 5 cm
h = 13 cm
r / h = 5 / 13
r = {5 / 13} h
![V=\frac {1}{3}\times \frac {22}{7}\times ({{{\frac {5}{13}\times h}}})^2\times h](https://tex.z-dn.net/?f=V%3D%5Cfrac%20%7B1%7D%7B3%7D%5Ctimes%20%5Cfrac%20%7B22%7D%7B7%7D%5Ctimes%20%28%7B%7B%7B%5Cfrac%20%7B5%7D%7B13%7D%5Ctimes%20h%7D%7D%7D%29%5E2%5Ctimes%20h)
![V=\frac {550}{3549}\times h^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%20%7B550%7D%7B3549%7D%5Ctimes%20h%5E3)
Also differentiating the expression of volume w.r.t. time as:
![\frac {dV}{dt}=\frac {550}{3549}\times 3\times h^2\times \frac {dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%20%7BdV%7D%7Bdt%7D%3D%5Cfrac%20%7B550%7D%7B3549%7D%5Ctimes%203%5Ctimes%20h%5E2%5Ctimes%20%5Cfrac%20%7Bdh%7D%7Bdt%7D)
Given:
= -4 cm³/sec (negative sign to show leaving)
h = 10 cm
So,
![-4=\frac{550}{3549}\times 3\times {10}^2\times \frac {dh}{dt}](https://tex.z-dn.net/?f=-4%3D%5Cfrac%7B550%7D%7B3549%7D%5Ctimes%203%5Ctimes%20%7B10%7D%5E2%5Ctimes%20%5Cfrac%20%7Bdh%7D%7Bdt%7D)
![\frac{55000}{1183}\times \frac {dh}{dt}=-4](https://tex.z-dn.net/?f=%5Cfrac%7B55000%7D%7B1183%7D%5Ctimes%20%5Cfrac%20%7Bdh%7D%7Bdt%7D%3D-4)
![\frac {dh}{dt}=-0.08603\ cm/s](https://tex.z-dn.net/?f=%5Cfrac%20%7Bdh%7D%7Bdt%7D%3D-0.08603%5C%20cm%2Fs)
<u>The level of the root beer is dropping at a rate of 0.08603 cm/s.</u>
Color is what scientist use to determine the temperature of a star!
hope this helps!
Answer:
Gravitone
Explanation:
In theories of quantum gravity, the graviton is the hypothetical quantum of gravity, an elementary particle that mediates the force of gravity. There is no complete quantum field theory of gravitons due to an outstanding mathematical problem with renormalization in general relativity.