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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs
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(a) Calculate Earth’s mass given the acceleration due to

Chapter 6, Problem 33

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QUESTION:

Problem 33PE

(a) Calculate Earth’s mass given the acceleration due to gravity at the North Pole is 9.830 m/s2 and the radius of the Earth is 6371 km from pole to pole.

(b) Compare this with the accepted value of 5.979×1024 kg .

Questions & Answers

QUESTION:

Problem 33PE

(a) Calculate Earth’s mass given the acceleration due to gravity at the North Pole is 9.830 m/s2 and the radius of the Earth is 6371 km from pole to pole.

(b) Compare this with the accepted value of 5.979×1024 kg .

ANSWER:

Part (a)

Step 1 of 3:

        The mass of any planet can be determined if we know the acceleration due to gravity and radius of the particular planet. We are given acceleration due to the gravity of Earth at the North Pole and the radius from pole to pole. We are going to calculate the mass of Earth with the given values.

        Acceleration due to gravity

        Radius of Earth  or

        Gravitational constant

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