1.

Calculate the velocity with which a body must be thrown vertically upward from the surface of the earth so that it may reach a height of `10R`, where `R` is the radius of the earth and is equal to `6.4 xx 10^(6)m.` (Given: Mass of the earth `= 6 xx 10^(24) kg`, gravitational constant `G = 6.7 xx 10^(-11) N m^(2) kg^(-2)`)

Answer» Correct Answer - `1.07xx10^(4)ms^(-1)`
Conservation of energy gives
`1/2mv^(2)-(GMm)/R=0-(GMm)/((R+10R))`
`v=sqrt((20/11(Gm)/R)=1.07xx10^(4)ms^(-1)`


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