Answer to Question #287520 in Mechanics | Relativity for Kepler

Question

determine the average gravitational force between a 1.05 solar mass and a planet whose orbital speed is 20,000 m/s if its distance from the star is 149 million kilometers at its nearest and 150 million kilometers at its farthest.

Answer 1

Given quantities:

$M_1=1.05M_s$

$v = 20000 \frac{m}{s}$

$R = 150 *10^9 m$

$F-?$

$F = G*\frac{M_1*M_2}{R^2}$ =$G*\frac{1.05M_s^2}{R^2}=\frac{6.67*10^{-11}*4^{60}}{225*10^{20}}=1.2*10^{28}N$