contestada

A certain planet has an escape speed V. If another planet has twice the radius and twice the mass of the first planet, its escape speed will be
1. V.
2. V/ 2
3. √.2
4. √ V.
5. 2V.

Respuesta :

Answer:

option A

Explanation:

Escape velocity of the planet

       [tex]v = \sqrt{\dfrac{GM}{R}}[/tex]

now, it is given that

Second Planet

R₂ = 2R          and M₂ = 2M

now escape velocity of the second planet

now,

       [tex]v'= \sqrt{\dfrac{G(2M)}{(2R)}}[/tex]

on solving

       [tex]v'= \sqrt{\dfrac{GM}{R}}[/tex]

       [tex]v'= v[/tex]

escape velocity of the second planet is equal to first.

The correct answer is option A

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