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Suppose the Earth is suddenly shrunk to half its present
Chapter 12, Problem 103IP(choose chapter or problem)
QUESTION:
Problem 103IP
Suppose the Earth is suddenly shrunk to half its present radius without losing any of its mass. (a) Would the escape speed of a rocket increase, decrease, or stay the same? (b) Find the escape speed for an Earth with half its present radius.
Questions & Answers
QUESTION:
Problem 103IP
Suppose the Earth is suddenly shrunk to half its present radius without losing any of its mass. (a) Would the escape speed of a rocket increase, decrease, or stay the same? (b) Find the escape speed for an Earth with half its present radius.
ANSWER:
Step 1 of 3
Part (a)
The expression for the escape speed of the rocket can be given as,