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.
Given quantities:
M1=1.05MsM_1=1.05M_sM1=1.05Ms
v=20000msv = 20000 \frac{m}{s}v=20000sm
R=150∗109mR = 150 *10^9 mR=150∗109m
F−?F-?F−?
F=G∗M1∗M2R2F = G*\frac{M_1*M_2}{R^2}F=G∗R2M1∗M2 =G∗1.05Ms2R2=6.67∗10−11∗460225∗1020=1.2∗1028NG*\frac{1.05M_s^2}{R^2}=\frac{6.67*10^{-11}*4^{60}}{225*10^{20}}=1.2*10^{28}NG∗R21.05Ms2=225∗10206.67∗10−11∗460=1.2∗1028N
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