Answer :
Answer:
The new force becomes twice of the initial force.
Explanation:
The Newton’s Law of Universal Gravitation between the Earth and the moon is given by :
[tex]F=G\dfrac{m_em_m}{r^2}[/tex]
Here,
[tex]m_e\ and\ m_e[/tex] are mass of Earth and the Moon
r is the distance between Moon and Earth
According to given condition, if the moon were twice as massive as it is today, [tex]m'_m=2m_m[/tex]
New force becomes,
[tex]F'=G\dfrac{m_em'_m}{r^2}[/tex]
[tex]F'=G\dfrac{m_e(2m_m)}{r^2}[/tex]
[tex]F'=2\times G\dfrac{m_em_m}{r^2}[/tex]
[tex]F'=2F[/tex]
So, the new force becomes twice of the initial force. Hence, this is the required solution.