If the mass of two bodies is doubled and the | vedclass

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

Question

(A) According to Newton's Law of Gravitation,the force $F$ between two bodies of masses $m_1$ and $m_2$ separated by a distance $r$ is given by $F = G

Vedclass · Accepted Answer

It remains the same.

Vedclass · Answer

(A) According to Newton's Law of Gravitation,the force $F$ between two bodies of masses $m_1$ and $m_2$ separated by a distance $r$ is given by $F = G \frac{m_1 m_2}{r^2}$.Given that the new masses are $m_1' = 2m_1$ and $m_2' = 2m_2$,and the new distance is $r' = 2r$.The new gravitational force $F'$ is given by $F' = G \frac{m_1' m_2'}{(r')^2}$.Substituting the new values: $F' = G \frac{(2m_1)(2m_2)}{(2r)^2} = G \frac{4 m_1 m_2}{4 r^2}$.Simplifying the expression: $F' = G \frac{m_1 m_2}{r^2} = F$.Therefore,the new gravitational force remains the same.

If the mass of two bodies is doubled and the distance between them is also doubled,what happens to the new gravitational force?

Similar Questions

The gravitational force between two stones of mass $1 \, kg$ each,separated by a distance of $1 \, m$ in a vacuum,is:

The atmosphere is held to the earth by

Are the inertial mass and gravitational mass of a body different from each other?

Two objects,each of mass $1\,kg$,are placed at a distance of $10\,cm$ from each other. Calculate the gravitational force between them.

The mass of the moon is about $1.2\%$ of the mass of the earth. Compared to the gravitational force the earth exerts on the moon,the gravitational force the moon exerts on the earth:

Vedclass Test Series

Exam Paper Generator

Online Exam Module