A newly discovered planet has four times the mass of the Earth, but a person’s weight on the new planet's surface is the same as the person’s weight on the Earth's surface.   What is the radius of the new planet in terms of the radius R of Earth

University Physics Volume 1
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Chapter13: Gravitation
Section: Chapter Questions
Problem 26P: The mean diameter of the planet Mercury is 4.88106m , and the acceleration due to gravity at its...
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A newly discovered planet has four times the mass of the Earth, but a person’s weight on the new planet's surface is the same as the person’s weight on the Earth's surface.

 

What is the radius of the new planet in terms of the radius R of Earth

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