What is the change in the gravitational poten | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The gravitational potential energy $U$ of an object of mass $m$ at a distance $r$ from the center of the Earth is given by $U = -\frac{GMm}{r}$,wh

Vedclass · Accepted Answer

Increases when moving away,decreases when coming closer.

Vedclass · Answer

(A) The gravitational potential energy $U$ of an object of mass $m$ at a distance $r$ from the center of the Earth is given by $U = -\frac{GMm}{r}$,where $G$ is the gravitational constant,$M$ is the mass of the Earth,and $r$ is the distance from the center of the Earth.$1$. When an object moves away from the Earth,the distance $r$ increases. Since $U$ is negative and inversely proportional to $r$,as $r$ increases,the value of $U$ becomes less negative,which means it increases.$2$. When an object comes closer to the Earth,the distance $r$ decreases. As $r$ decreases,the value of $U$ becomes more negative,which means it decreases.

What is the change in the gravitational potential energy of an object when it moves away from the Earth and when it comes closer to the Earth?

Similar Questions

The change in the gravitational potential energy when a body of mass $m$ is raised to a height $h = nR$ above the surface of the Earth is (where $R$ is the radius of the Earth).

$A$ rocket of mass $M$ is launched vertically from the surface of the earth with an initial speed $V$. Assuming the radius of the earth to be $R$ and negligible air resistance,the maximum height attained by the rocket above the surface of the earth is

$A$ rocket of mass $M$ is launched vertically from the surface of the earth with an initial speed $V$. Assuming the radius of the earth to be $R$ and negligible air resistance,the maximum height attained by the rocket above the surface of the earth is

$A$ body which is initially at rest at a height $R$ above the surface of the earth of radius $R$,falls freely towards the earth. Its velocity on reaching the surface of the earth is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module