Question

what is the difference between the force of gravity on a celestial body thats close to the center of the milky galaxy and the force of gravity on a celestial body near the outside of the milky ways spiral arms? explain two factors that cause/impact this difference.

Explanation:

• Difference: The force of gravity is stronger on a celestial body close to the center of the Milky Way galaxy compared to one near the outside of the spiral arms.
• Factor 1 - Mass Distribution: The center of the galaxy has a higher concentration of mass (stars, black holes, etc.). According to Newton's law of universal gravitation \(F = G\frac{Mm}{r^{2}}\) (where \(F\) is the gravitational force, \(G\) is the gravitational constant, \(M\) is the mass of the larger body - like the mass - concentrated center of the galaxy, \(m\) is the mass of the celestial body, and \(r\) is the distance between their centers). A larger \(M\) (more mass at the center) contributes to a stronger gravitational force.
• Factor 2 - Distance (\(r\)): Celestial bodies near the center (\(r\) is smaller) experience a stronger gravitational force. Since \(F\propto\frac{1}{r^{2}}\) (from \(F = G\frac{Mm}{r^{2}}\)), as \(r\) decreases, the gravitational force \(F\) increases.

Answer:

The force of gravity is stronger near the center. Factors: higher mass concentration at the center (increases \(M\) in \(F = G\frac{Mm}{r^{2}}\)) and smaller distance (\(r\)) from the center (since \(F\propto\frac{1}{r^{2}}\)).