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NEET UG PHYSICS MCQ: GRAVITATION

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If a particle of mass m is moving in a horizontal circle of radius r with a centripetal force

\left( { - K/{r^2}} \right)

the total energy is

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Correct option: A

- \frac{K}{{2r}}

Option A (

- \frac{K}{{2r}}

) is correct because the total energy is the sum of kinetic and potential energy, where potential energy is -K/r and kinetic energy is K/2r.

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Suppose the law of gravitational attraction suddenly changes and becomes an inverse cube law i.e.

F \propto \frac{1}{r^3}

, but still remaining a central force. Then Two satellites A and B go round a planet P is circular orbits having radii 16 R and 2 R respectively. If the speed of satellite A is

6\,m{s^{ - 1}}

the speed of the satellite B will be [in m/s] nearly The total energy of satellite moving with an orbital velocity

v

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r

around the earth so as to rotate opposite to each other. If they collide inelastically and stick together as wreckage, the total energy of the system just after collision is Statement-1: There is almost no effect of rotation of earth at poles.
Statement-2: Because rotation of earth is about polar axis. The escape velocity of a body on the surface of an imaginary planet which has thrice the radius as of earth and double the mass of earth, is (

{v_e}

is the escape velocity at the surface of earth)