"The value of the escape velocity $v_e$ for a stationary object on the surface of a planet is directly proportional to the mass and radius of the planet." Is this statement correct? If not,correct it.
(N/A) This statement is incorrect.
The correct statement is: "The value of the escape velocity $v_e$ for a stationary object on the surface of a planet is directly proportional to the square root of the ratio of the planet's mass to its radius."
Explanation: The formula for escape velocity is $v_e = \sqrt{\frac{2GM}{R}}$,where $G$ is the gravitational constant,$M$ is the mass of the planet,and $R$ is the radius of the planet. Thus,$v_e \propto \sqrt{\frac{M}{R}}$.
The correct statement is: "The value of the escape velocity $v_e$ for a stationary object on the surface of a planet is directly proportional to the square root of the ratio of the planet's mass to its radius."
Explanation: The formula for escape velocity is $v_e = \sqrt{\frac{2GM}{R}}$,where $G$ is the gravitational constant,$M$ is the mass of the planet,and $R$ is the radius of the planet. Thus,$v_e \propto \sqrt{\frac{M}{R}}$.
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