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IP Suppose a planet is discovered that has the same total
Chapter 12, Problem 78GP(choose chapter or problem)
Problem 78GP
IP Suppose a planet is discovered that has the same total mass as the Earth, but half its radius. (a) Is the acceleration due to gravity on this planet more than, less than, or the same as the acceleration due to gravity on the Earth? Explain. (b) Calculate the acceleration due to gravity on this planet.
Questions & Answers
QUESTION:
Problem 78GP
IP Suppose a planet is discovered that has the same total mass as the Earth, but half its radius. (a) Is the acceleration due to gravity on this planet more than, less than, or the same as the acceleration due to gravity on the Earth? Explain. (b) Calculate the acceleration due to gravity on this planet.
ANSWER:
Step 1 of 4
(a) The acceleration of gravity on the surface of a spherical body is given by,
?
The acceleration of gravity due to the Earth is given by,
............(1)
For the other planet,
..............(2)