Question

Use the first equation in section IV for this problem: K = -Ug, where G = 6.67 X 10⁻¹¹ ,m³ ,kg⁻¹ ,s⁻² and M = 3.2 X 10²³ ,kg. Find v in terms of r.

a. v = √GM/r

b. v = GM/r

c. v = √GM/r

d. v = GM√r

Answer 1

To find v in terms of r, you can use the equation v = √GM/r, which combines Newton's law of universal gravitation with the equation for the velocity of an object in circular motion. By substituting the given values for G and M into the equation, you can solve for v in terms of r.

Step-by-step explanation:

The equation given for this problem is K = -Ug. In order to find v in terms of r, we can use the equation v = √GM/r. This equation combines Newton's law of universal gravitation with the equation for the velocity of an object in circular motion. By substituting the given values for G and M into the equation, we can solve for v in terms of r.