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Gravitational potential energy & escape velocity

With what minimum speed should m be projected from point C in

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With what minimum speed should $m$ be projected from point $C$ in presence of two fixed masses $M$ each at $A$ and $B$ as shown in the figure such that mass $m$ should escape the gravitational attraction of $A$ and $B$ ?

\frac{2 GM}{R}

\frac{2 2 GM}{R}

2 \frac{GM}{R}

22 \frac{GM}{R}

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Book:

Mechanics Volume 2 (DC Pandey)

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With what minimum speed should

m

be projected from point

C

in presence of two fixed masses

M

each at

A

and

B

as shown in the figure such that mass

m

should escape the gravitational attraction of

A

and

B

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12 mins ago

Text solutionVerified

K_{i} + U_{i} = K_{f} + U_{f}

∴ \frac{1}{2} m v^{2} - 2 \frac{GM m}{2 R} = 0 + 0

∴ v = \frac{2 2 GM}{R}

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Question Text	With what minimum speed should $m$ be projected from point $C$ in presence of two fixed masses $M$ each at $A$ and $B$ as shown in the figure such that mass $m$ should escape the gravitational attraction of $A$ and $B$ ?
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	146

With what minimum speed should $m$ be projected from point $C$ in presence of two fixed masses $M$ each at $A$ and $B$ as shown in the figure such that mass $m$ should escape the gravitational attraction of $A$ and $B$ ?

Text solutionVerified

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With what minimum speed should m be projected from point C in presence of two fixed masses M each at A and B as shown in the figure such that mass m should escape the gravitational attraction of A and B ?

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With what minimum speed should $m$ be projected from point $C$ in presence of two fixed masses $M$ each at $A$ and $B$ as shown in the figure such that mass $m$ should escape the gravitational attraction of $A$ and $B$ ?