The escape velocity of a sphere of mass m is given by (G = universal gravitational constant, M = mass of the earth, Re = radius of the earth):

Question

The escape velocity of a sphere of mass m is given by (G = universal gravitational constant, M = mass of the earth, Re = radius of the earth): (A)  √(2RMe/Re)  (B)  √(2GMem/Re)  (C)  √(GMe/Re)  (D)  √(GM/Re)

Tardigrade Admin · Accepted Answer

Escape velocity of a body, from the surfaces of earth ve=√(2GMe/Re) It does not depend on the mass of the body.

Q. The escape velocity of a sphere of mass m is given by (G = universal gravitational constant, M = mass of the earth, Re = radius of the earth):

$\frac{2 R M _{e}}{R _{e}}$

$\frac{2 G M _{e} m}{R _{e}}$

$\frac{G M _{e}}{R _{e}}$

$\frac{GM}{R _{e}}$

Escape velocity of a body, from the surfaces of earth $v_{e} = \frac{2 G M _{e}}{R _{e}}$ It does not depend on the mass of the body.

Q. The escape velocity of a sphere of mass m is given by (G = universal gravitational constant, M = mass of the earth, Re = radius of the earth):

Re​2RMe​​​

Re​2GMe​m​​

Re​GMe​​​

Re​GM​​

Escape velocity of a body, from the surfaces of earth ve​=Re​2GMe​​​ It does not depend on the mass of the body.

$\frac{2 R M _{e}}{R _{e}}$

$\frac{2 G M _{e} m}{R _{e}}$

$\frac{G M _{e}}{R _{e}}$

$\frac{GM}{R _{e}}$

Escape velocity of a body, from the surfaces of earth $v_{e} = \frac{2 G M _{e}}{R _{e}}$ It does not depend on the mass of the body.