The expression for the gravitational force between two bodies is given by:
[tex]F=G\frac{m_1m_2}{r^2}[/tex]where,
G: Cavendish's constant = 6.67*10-11Nm^2/kg^2
m1 = 3.0kg
m2 = 14kg
Solve the equation above for r:
[tex]\begin{gathered} r=\sqrt{\frac{Gm_1m_2}{F}} \\ r=\sqrt[]{\frac{(6.67\cdot10^{-11}\frac{Nm^2}{\operatorname{kg}^2})(3.0kg)(14kg)}{10\cdot10^{-10}N}} \\ r\approx1.67m \end{gathered}[/tex]Hence, the distance between the dog and the car is approximately 1.67m
