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NEET UG PHYSICS MCQ: GRAVITATION

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Understanding +4 | -1

According to Newton's law of gravitation, the magnitude of the force

F

on point masses

m_1

and

m_2

(say) is given by

|F|=\frac{G m_1 m_2}{r^2}

.
I. This equation is not directly applicable for the gravitational force between extended object (like the earth) and a point mass.
II. This equation can be applied to find the gravitational force between an extended object and a point mass provided

r

is the distance of the point mass from the geometric centre of the extended objects.
Which of the following statement(s) about this equation is/are correct?

View answer and explanation

Correct option: A

Only I

Option A is correct because Newton's law of gravitation is not directly applicable for extended objects without integration.

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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.