Question 69: Gravitation

Question

An object is kept at rest at a distance of $3 R$ above the earth's surface where $R$ is earth's radius. The minimum speed with which it must be projected so that it does not return to earth is :
(Assume $\mathrm{M}=$ mass of earth, $\mathrm{G}=$ Universal gravitational constant)

Accepted Answer

$$\begin{aligned}
&\begin{aligned}
& \mathrm{P}_{\mathrm{P}}+\mathrm{k}_{\mathrm{P}}=\mathrm{P}_{\mathrm{o}}+\mathrm{k}_0 \
& -\frac{\mathrm{GMm}}{4 \mathrm{R}}+\frac{1}{2} \mathrm{mV}_{\mathrm{P}}^2=0 \
& \mathrm{~V}_{\mathrm{P}}=\sqrt{\frac{\mathrm{GM}}{2 \mathrm{R}}}
\end{aligned}\
&	ext { Choice } 1
\end{aligned}$$

Answer

$\sqrt{\frac{3 \mathrm{GM}}{\mathrm{R}}}$

Answer

$\sqrt{\frac{2 \mathrm{GM}}{\mathrm{R}}}$

Answer

$\sqrt{\frac{\mathrm{GM}}{2 \mathrm{R}}}$

Answer

$\sqrt{\frac{\mathrm{GM}}{\mathrm{R}}}$

Gravitation

An object is kept at rest at a distance of 3 R above the earth's surface where R is earth's radius. The minimum speed with which it must be projected so that it does not return to earth is : (Assume \mathrm{M}= mass of earth, \mathrm{G}= Universal gravitational constant)

Choose the correct answer: