Answered: What is the magnitude of Earth’s…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 37P

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Question

What is the magnitude of Earth’s gravitational force on a 1-kg body at Earth’s surface?

Expert Solution

Step 1

Magnitude of the Earth's gravitational force is given by a formula:

$F = \frac{G M m}{R^{2}}$

here, F is the magnitude of the Earth's gravitational force, G is the gravitational constant, M is the mass of earth, m is the mass of objects, and R is the radius of earth.

Gravitational constant G = 6.67 × 10^-11 $\frac{N m^{2}}{k g^{2}}$

Mass of earth M = 6 × 10²⁴ kg

Radius of earth R = 6.4 × 10⁶ m

Mass of an object m = 1 kg.

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