Question

40. If M is the mass of earth and M is the masa
moon (M = 81 M). The potential energy of
object of mass m situated at a distance R from the
centre of earth and r from the centre of moon
will be :-
​

Answer 1

Answer:

Potential energy

= -GM^2/81(R+r)

Answer 2

Given :

Mass of earth , M .

Mass of masa moon , 81M .

To find :

The potential energy of  object of mass m situated at a distance R from the  centre of earth and r from the centre of moon .

Solution :

We know , potential energy between two object at a distance r is given by :

$U=-\dfrac{GM m}{r}$

Therefore , potential energy of the object is :

$U_{T}=U_m+U_e\\\\U_{T}=-\dfrac{GMm}{R}-\dfrac{G(81M)m}{r}\\\\U_T=-(\dfrac{GMm}{R}+\dfrac{81GMm}{r})$

Therefore , the potential energy of mass m is $U_T=-(\dfrac{GMm}{R}+\dfrac{81GMm}{r})$ .

Learn More :

Gravitation

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