The planet Krypton has a mass of 7.1 * 10^{23} \ kg and radius of 3.3 * 10^6 \ m. What is the...

Question:

The planet Krypton has a mass of {eq}7.1 * 10^{23} \ kg {/eq} and radius of {eq}3.3 * 10^6 \ m {/eq}.

What is the acceleration of an object in free fall near the surface of Krypton?

The gravitational constant is {eq}6.6726 * 10^{11} Nm^2/kg^2 {/eq}. (Answer in units of {eq}m/s^2 {/eq})

Gravitational Force

Newton's law of gravitational force establish the force of attraction between two particles of masses

{eq}m_1 {/eq} and {eq}m_2 {/eq} separated a distance r

{eq}F_g=G\frac{m_1 m_2}{r^2} {/eq}.

The gravitational force is a field force that always exists between two particles. An important feature of this gravitational force is that the gravitational force exerted by a spherically symmetric mass distribution on a particle located outside the distribution acts as if all the mass is located at the center of the distribution.

Answer and Explanation:

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The gravitational force exerted by a planet like Krypton on a particle of mass $m_1$ near the surface of the planet is

{eq}F_g=G\frac{M_{K}...

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Gravitational Pull of the Earth: Definition & Overview

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Chapter 15 / Lesson 17
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Earth's gravitational pull is often misunderstood, but without it, life on Earth would be impossible. In this lesson, we'll define the gravitational pull and give some examples of how it is used. A quiz is provided to test your understanding.


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