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Two planets, alice and bob, have the same radius. Alice has a greater density than bob. Which has the higher escape velocity?
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Two planets, alice and bob, have the same radius. Alice has a greater density than bob. Which has the higher escape velocity?

User Areti
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2 votes

Answer:

Since Alice has a greater density it will also have a greater mass

Density = mass / volume

The potential energy at the surface of Alice will be greater and a higher kinetic energy will be required to escape the planet's gravitational pull.

PE = K M / R potential at surface is greater because mass is greater

KE = 1/2 M v^2 greater velocity required to overcome PE

User MarvelousNinja
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