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The escape velocity of an object from th...

The escape velocity of an object from the earth depends upon the mass of the earth ( M ), its mean density `(rho)`, its radius ( R ) and the gravitational constant ( G ). Thus the formula for escape velocity is

A

`v=Rsqrt((8pi)/G rho)`

B

`v=Msqrt((8pi)/GR)`

C

`v=sqrt(2GMR)`

D

`v=sqrt((2GM)/R^(2))`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The escape speed of a body from the earth depends upon

    A
    the mass of the body
    B
    the direction of projection
    C
    the latitude and altitude of the location, from where the body is launched
    D
    none of the above

  • The escape velocity from the surface of the Earth is

    A
    11.2km/s
    B
    11.2m/s
    C
    11.2 cm/s
    D
    11.2mm/s

  • The escape velocity from the surface of the earth does not depend on :

    A
    Mass of the earth
    B
    Mass of the body
    C
    radius of the earth
    D
    G

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