Two bodies, each of mass M , are kept fixed with a separation of 2 L . A particle of mass m is projected from the midpoint of the line joining their centers, perpendicular to the line. The gravitational constant is G . The correct statement

Question

Two bodies, each of mass M , are kept fixed with a separation of 2 L . A particle of mass m is projected from the midpoint of the line joining their centers, perpendicular to the line. The gravitational constant is G . The correct statement (s) is (are) :

Quantrex Academy · Accepted Answer

Correct answer: B. The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is 2 G M L .

Applying mechanical energy conservation, U i + K E i = U f + K E f - G M m L &#215; 2 + 1 2 m v 2 = 0 + 0 &#8658; v = 4 G M L &#8658; v = &#160; 2 G M L

Two bodies, each of mass M , are kept fixed with a separation of 2 L . A particle of mass m is projected from the midpoint of the line joining their centers, perpendicular to the line. The gravitational constant is G . The correct statement (s) is (are) :

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