**Problem Statement:**An extrasolar planet has a mass of $1.27 \times 10^{25}$ kg and a radius of 67,400,000 m. What is the escape speed for this planet?**Answer Choices:**A. 11,440 m/s B. 12,230 m/s C. 5,014 m/s D. 16,190 m/s E. 1,973 m/s F. 9,206 m/s **Explanation:**To find the escape speed, use the formula:\[ v_e = \sqrt{\frac{2GM}{R}} \]Where:- $ v_e $ = escape speed- $ G $ = universal gravitational constant ($6.674 \times 10^{-11} \, \text{m}^3 \text{kg}^{-1} \text{s}^{-2}$)- $ M $ = mass of the planet ($1.27 \times 10^{25} \, \text{kg}$)- $ R $ = radius of the planet (67,400,000 m)Substitute the values into the formula to calculate the escape speed.

given that the mass of planet is 1.27*10^25 kg and radius is 67400000 m.

Answered: An extrasolar planet has mass…

An extrasolar planet has mass 1.27E+25_kg and radius 67400000_m. What is the escape speed for this planet? 11440.m/s В. 12230_m/s 5014_m/s А. D. 16190.m/s 1973.m/s 9206 m/s Е. С. F.

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Problem Statement:**

An extrasolar planet has a mass of $1.27 \times 10^{25}$ kg and a radius of 67,400,000 m. What is the escape speed for this planet?

**Answer Choices:**

A. 11,440 m/s
B. 12,230 m/s
C. 5,014 m/s
D. 16,190 m/s
E. 1,973 m/s
F. 9,206 m/s

**Explanation:**

To find the escape speed, use the formula:

\[ v_e = \sqrt{\frac{2GM}{R}} \]

Where:
- $ v_e $ = escape speed
- $ G $ = universal gravitational constant ($6.674 \times 10^{-11} \, \text{m}^3 \text{kg}^{-1} \text{s}^{-2}$)
- $ M $ = mass of the planet ($1.27 \times 10^{25} \, \text{kg}$)
- $ R $ = radius of the planet (67,400,000 m)

Substitute the values into the formula to calculate the escape speed.

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