The kinetic energy needed to project a body of mass m from the earth's surface to infinity is
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`KE = (1)/(2) m nu_(e)^(2)` `= (1)/(2) m ((2 GM)/(R))` `= (m)/(R )(gR^(2))` (as `GM = gR^(2))` `= mgR`
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Knowledge Check
The kinetic energy needed to project a body of mass m from the eath surface (radus R) to infinity is
A
`mgR/2`
B
`2mgR`
C
`mgR`
D
`mgR/4`
The kinetic energy needed to project a body of mass m from the earth surface (radius R) to infinity is
A
`(mgR)/(2)`
B
`2mgR`
C
`mgR`
D
`(mgR)/(2)`
The kinetic energy needed to project a body of mass m from the surface of the earth to infinity is
