Problem: Suppose we could shrink the earth without changing its mass.  At what fraction of its current radius would the free-fall acceleration at the surface be three times its present value?

FREE Expert Solution

Weight is given by:

F=mg, where g is the magnitude of gravitational acceleration on the surface of Earth

In full form, gravitational force is expressed as:

F=GMmr2

The gravitational force on an object is equal to its weight when the object is at the Earth's surface. 

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Problem Details

Suppose we could shrink the earth without changing its mass.  At what fraction of its current radius would the free-fall acceleration at the surface be three times its present value?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Acceleration Due to Gravity concept. You can view video lessons to learn Acceleration Due to Gravity. Or if you need more Acceleration Due to Gravity practice, you can also practice Acceleration Due to Gravity practice problems.