Math Problem Statement

Suppose you observe a star orbiting the galactic center at a speed of 1500 km/s in a circular orbit with a radius of 25 light-days. Calculate the mass of the object that the star is orbiting.

Solution

PIL import Image

Open and display the uploaded image to understand its contents

img_path = '/mnt/data/17326790376120f04sxik.jpg' image = Image.open(img_path) image.show()I have displayed the image you uploaded. Let me analyze it to assist you further. Let's extract the contents of the image to interpret the mathematical problem. import pytesseract

Use pytesseract to extract text from the image

text = pytesseract.image_to_string(image) textIt seems that I was unable to extract any readable text from the image directly. Could you please describe the mathematical content in the image, or let me know if you'd like me to try a different method for

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Math Problem Analysis

Mathematical Concepts

Circular Motion
Gravitational Dynamics

Formulas

M = (v^2 * r) / G

Theorems

Newton's Law of Gravitation
Centripetal Force in Orbital Motion

Suitable Grade Level

Undergraduate Physics