If the escape velocity of a body of mass 1,kg | vedclass

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(B) The escape velocity $v_e$ of a body from the surface of a planet is given by the formula $v_e = \sqrt{\frac{2GM}{R}}$,where $G$ is the universal g

Vedclass · Accepted Answer

$11.2\,km/s$

Vedclass · Answer

(B) The escape velocity $v_e$ of a body from the surface of a planet is given by the formula $v_e = \sqrt{\frac{2GM}{R}}$,where $G$ is the universal gravitational constant,$M$ is the mass of the planet,and $R$ is the radius of the planet.From this formula,it is clear that the escape velocity $v_e$ is independent of the mass of the body being projected.Therefore,the escape velocity remains the same regardless of the mass of the object.Since the escape velocity for a $1\,kg$ mass is $11.2\,km/s$,the escape velocity for a $10\,kg$ mass will also be $11.2\,km/s$.

If the escape velocity of a body of mass $1\,kg$ from the surface of the Earth is $11.2\,km/s$,then what is the escape velocity for a body of mass $10\,kg$?

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