Answer:
![g_n=\dfrac{2}{9}g](https://tex.z-dn.net/?f=g_n%3D%5Cdfrac%7B2%7D%7B9%7Dg)
Explanation:
M = Mass of Earth
G = Gravitational constant
R = Radius of Earth
The acceleration due to gravity on Earth is
![g=\dfrac{GM}{R^2}](https://tex.z-dn.net/?f=g%3D%5Cdfrac%7BGM%7D%7BR%5E2%7D)
On new planet
![g_n=\dfrac{G2M}{(3R)^2}\\\Rightarrow g_n=\dfrac{2GM}{9R^2}](https://tex.z-dn.net/?f=g_n%3D%5Cdfrac%7BG2M%7D%7B%283R%29%5E2%7D%5C%5C%5CRightarrow%20g_n%3D%5Cdfrac%7B2GM%7D%7B9R%5E2%7D)
Dividing the two equations we get
![\dfrac{g_n}{g}=\dfrac{\dfrac{2GM}{9R^2}}{\dfrac{GM}{R^2}}\\\Rightarrow \dfrac{g_n}{g}=\dfrac{2}{9}\\\Rightarrow g_n=\dfrac{2}{9}g](https://tex.z-dn.net/?f=%5Cdfrac%7Bg_n%7D%7Bg%7D%3D%5Cdfrac%7B%5Cdfrac%7B2GM%7D%7B9R%5E2%7D%7D%7B%5Cdfrac%7BGM%7D%7BR%5E2%7D%7D%5C%5C%5CRightarrow%20%5Cdfrac%7Bg_n%7D%7Bg%7D%3D%5Cdfrac%7B2%7D%7B9%7D%5C%5C%5CRightarrow%20g_n%3D%5Cdfrac%7B2%7D%7B9%7Dg)
The acceleration due to gravity on the other planet is ![g_n=\dfrac{2}{9}g](https://tex.z-dn.net/?f=g_n%3D%5Cdfrac%7B2%7D%7B9%7Dg)
Answer:
Explanation:
The relationship of the speed of sound, its frequency, and wavelength is the same as for all waves: vw = fλ, where vw is the speed of sound, f is its frequency, and λ is its wavelength.
That they sometimes explode?
Friction- the external force that acts on objects and causes them to slow down when no other external force acts upon them.
Answer:
Speed of physicist car is 0.036c or 1.08 x 10⁷ m/s .
Explanation:
Doppler Effect is defined as the change in frequency or wavelength of the wave as the source or/and observer moving away or towards each other.
In this case, the Doppler effect equation in terms of wavelength is :
......(1)
Here
is source wavelength,
is observed wavelength, v is speed of the observer and c is the speed of light.
Given :
Source wavelength,
= 660 nm = 660 x 10⁻⁹ m
Observed wavelength,
= 555 nm = 555 x 10⁻⁹ m
Substitute these values in the equation (1).
![555\times10^{-9} } = 660\times10^{-9} \sqrt{\frac{1-\frac{v}{c} }{1+\frac{v}{c} } }](https://tex.z-dn.net/?f=555%5Ctimes10%5E%7B-9%7D%20%7D%20%3D%20660%5Ctimes10%5E%7B-9%7D%20%5Csqrt%7B%5Cfrac%7B1-%5Cfrac%7Bv%7D%7Bc%7D%20%7D%7B1%2B%5Cfrac%7Bv%7D%7Bc%7D%20%7D%20%7D)
![\sqrt{\frac{1-\frac{v}{c} }{1+\frac{v}{c} } } = 0.84](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B1-%5Cfrac%7Bv%7D%7Bc%7D%20%7D%7B1%2B%5Cfrac%7Bv%7D%7Bc%7D%20%7D%20%7D%20%3D%200.84)
![{\frac{1-\frac{v}{c} }{1+\frac{v}{c} } } = (0.84)^{2} = 0.7056](https://tex.z-dn.net/?f=%7B%5Cfrac%7B1-%5Cfrac%7Bv%7D%7Bc%7D%20%7D%7B1%2B%5Cfrac%7Bv%7D%7Bc%7D%20%7D%20%7D%20%3D%20%280.84%29%5E%7B2%7D%20%3D%200.7056)
![1-\frac{v}{c}=0.7056+0.7056\frac{v}{c}](https://tex.z-dn.net/?f=1-%5Cfrac%7Bv%7D%7Bc%7D%3D0.7056%2B0.7056%5Cfrac%7Bv%7D%7Bc%7D)
![\frac{v}{c}=\frac{0.2944}{8.056}](https://tex.z-dn.net/?f=%5Cfrac%7Bv%7D%7Bc%7D%3D%5Cfrac%7B0.2944%7D%7B8.056%7D)
![v = 0.036c=0.036\times3\times10^{8}](https://tex.z-dn.net/?f=v%20%3D%200.036c%3D0.036%5Ctimes3%5Ctimes10%5E%7B8%7D)
v = 1.08 x 10⁷ m/s