Answer:
Increased by 16 times
Explanation:
F = Gravitational force between two bodies
G = Gravitational constant = 6.67408 × 10⁻¹¹ m³/kg s²
m₁ = Mass of one body
m₂ = Mass of other body
d = distance between the two bodies
[tex]F=\frac{Gm_1m_2}{d^2}\\ F=\frac{1}{d^2}\quad \text {(as G and masses are constant)}[/tex]
[tex]F_{new}=\frac{1}{\left (\frac{d}{4}\right )^2}\\\Rightarrow F_{new}=\frac{1}{\frac{d^2}{16}}\\\Rightarrow F_{new}={16}\times \frac{1}{d^2}\\\Rightarrow F_{new}=16\times F[/tex]
∴Force will increase 16 times
