Answer:
[tex]3.32\times 10^{-5}\ m/s^2[/tex]
0.00061441 m/s²
0.05403
Explanation:
G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²
Mass of Sun = [tex]1.989\times 10^{30}\ kg[/tex]
Mass of Earth = [tex]7.35\times 10^{22}\ kg[/tex]
Distance between Earth and Moon = 384400000 m
Distance between Earth and Sun = [tex]147.3\times 10^{9}\ m[/tex]
The acceleration due to gravity due to the moon is
[tex]a_m=\frac{GM}{r^2}\\\Rightarrow a_m=\frac{6.67\times 10^{-11}\times 7.35\times 10^{22}}{(384400000)^2}\\\Rightarrow a_m=3.32\times 10^{-5}\ m/s^2[/tex]
The acceleration due to gravity due to the moon is [tex]3.32\times 10^{-5}\ m/s^2[/tex]
The acceleration due to gravity due to the Sun is
[tex]a_s=\frac{GM}{r^2}\\\Rightarrow a_s=\frac{6.67\times 10^{-11}\times 1.989\times 10^{30}}{(147.3\times 10^{9})^2}\\\Rightarrow a_s=0.00061441\ m/s^2[/tex]
The acceleration due to gravity due to the Sun is 0.00061441 m/s²
[tex]\frac{a_m}{a_s}=\frac{3.32\times 10^{-5}}{0.00061441}\\\Rightarrow \frac{a_m}{a_s}=0.05403\\\Rightarrow a_m=0.05403a_s[/tex]
The moon's gravitational acceleration is 0.05403 times the sun's acceleration. However, tides are caused due to the bulging of the Earth's water towards the moon hence the moon is mostly responsible for the tides on Earth.
