Answer:
Twice
Explanation:
From the formula for velocity in a circle
V= 2πr/T
Where V is velocity
r is raduis
T is period
We see that as r increases V increases so if r is doubled V becomes doubled
Answer:
![|\Delta v |=\sqrt{\frac{4Gm}{d} }](https://tex.z-dn.net/?f=%7C%5CDelta%20v%20%7C%3D%5Csqrt%7B%5Cfrac%7B4Gm%7D%7Bd%7D%20%7D)
Explanation:
Consider two particles are initially at rest.
Therefore,
the kinetic energy of the particles is zero.
That initial K.E. = 0
The relative velocity with which both the particles are approaching each other is Δv and their reduced masses are
![\mu= \frac{m_1m_2}{m_1+m_2}](https://tex.z-dn.net/?f=%5Cmu%3D%20%5Cfrac%7Bm_1m_2%7D%7Bm_1%2Bm_2%7D)
now, since both the masses have mass m
therefore,
![\mu= \frac{m^2}{2m}](https://tex.z-dn.net/?f=%5Cmu%3D%20%5Cfrac%7Bm%5E2%7D%7B2m%7D)
= m/2
The final K.E. of the particles is
![KE_{final}=\frac{1}{2}\times \mu\times \Delta v^2](https://tex.z-dn.net/?f=KE_%7Bfinal%7D%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Cmu%5Ctimes%20%5CDelta%20v%5E2)
Distance between two particles is d and the gravitational potential energy between them is given by
![PE_{Gravitational}= \frac{Gmm}{d}](https://tex.z-dn.net/?f=PE_%7BGravitational%7D%3D%20%5Cfrac%7BGmm%7D%7Bd%7D)
By law of conservation of energy we have
![KE_{initial}+KE_{final}= PE_{gravitaional}](https://tex.z-dn.net/?f=KE_%7Binitial%7D%2BKE_%7Bfinal%7D%3D%20PE_%7Bgravitaional%7D)
Now plugging the values we get
![0+\frac{1}{2}\frac{m}{2}\Delta v^2= -\frac{Gmm}{d}](https://tex.z-dn.net/?f=0%2B%5Cfrac%7B1%7D%7B2%7D%5Cfrac%7Bm%7D%7B2%7D%5CDelta%20v%5E2%3D%20-%5Cfrac%7BGmm%7D%7Bd%7D)
![|\Delta v |=\sqrt{\frac{4Gm}{d} }](https://tex.z-dn.net/?f=%7C%5CDelta%20v%20%7C%3D%5Csqrt%7B%5Cfrac%7B4Gm%7D%7Bd%7D%20%7D)
![=\sqrt{\frac{Gm}{d} }](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7BGm%7D%7Bd%7D%20%7D)
This the required relation between G,m and d
<span>Good Morning!
The scientific advance that launched an ethical alert in the scientific community was the possibility of cloning animals, since it presents important questions, especially if such a project is extended to humans.
Hugs!</span>
Answer:
High tides would be much smaller than they are now, and low tides would be even lower. This is because the sun would be influencing the tides, not the moon; however, the sun has a weaker pull, which would decrease the tides. ... Winds could become much faster and much stronger without the moon.
Explanation:
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