# A rocket is projected upward from the earth's surface (r = R_E) with an initial speed v0 that...

## Question:

A rocket is projected upward from the earth's surface ({eq}r = R_E {/eq}) with an initial speed v0 that carries it to a distance r = 1.2{eq}R_E {/eq} from the center of the earth. What is the launch speed {eq}v_o {/eq}?

(Assume that air friction can be ignored.)

## Universal Gravitation.

Consider two point objects in space, one of mass M and the other of mass m, separated by a distance R. Both are attracted by a force known as gravitational force, to which it is possible to assign a scalar function called gravitational potential energy, which is proportional to the negative of the mass product and inversely proportional to R.

## Answer and Explanation:

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{eq}Known\,data:\\ R_E = 6.378\times{10^6}\,m\\ r = 1.2R_E\\ M_E = 5.98 \times {10^{24}}\,kg\\ Find:\\ v_0 = ?\\ {/eq}

For long distances,...

See full answer below.

Gravitational Potential Energy: Definition, Formula & Examples

from

Chapter 5 / Lesson 6
332K

In this lesson, you will learn what gravitational potential is, the equation we use to calculate it, and how to use that equation. We'll look at some real-life examples so you can see how it works. A short quiz will follow.