NEET UG PHYSICS MCQ: GRAVITATION

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If a planet of given density were made larger its force of attraction for an object on its surface would increase because of planet’s greater mass but would decrease because of the greater distance from the object to the centre of the planet. Which effect predominate?

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Correct option: A

Increases in mass

Option A (Increases in mass) is correct because the gravitational force is directly proportional to the mass of the planet and inversely proportional to the square of the distance to the center. The increase in mass has a stronger effect than the increase in radius.

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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 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

around the earth is Two satellites of same mass are launched in the same orbit of radius

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.