Discover the Mass of a Planet with an Escape Velocity of 3.60×104 m/s

AI Thread Summary
To determine the mass of a planet with a given escape velocity and radius, the formula for escape velocity, v = sqrt(2GM/r), can be rearranged to find mass (M). By substituting the known values of escape velocity (3.60×10^4 m/s) and radius (8.30×10^7 m), one can calculate the mass using the gravitational constant (G). The discussion emphasizes the importance of understanding the underlying physics rather than just applying formulas. Providing context and explanations is crucial for effective learning. The conversation highlights the need for clarity in problem-solving approaches in physics.
jay.mee.
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A certain planet with a radius of 8.30×107 m has an escape velocity of 3.60×104 m/s. What is the mass of this planet?


How do i solve this?
 
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What is the gravitational potential needed to carry a mass m to infinity?
 
escape velocity = sqrt(2*G*M/r)
 
escape velocity = sqrt(2*G*M/r)

Throwing out a single line of text with no justification doesn't help the OP at all. We're here to help him understand not simply toss a formula his way and tell him to plug in the numbers... What use is that?
 
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