Browse by Stream
Discuss Doubts
Home
Search for Exam, Articles, Questions
get app
Go To Your Study Dashboard
  1. Home
  2. Answer please! A rocket has to be launched from earth in such a way that it never returns. If E is the minimum energy that the launcher shouldhave if the same rocket is to be lunched from the surface of the moon? Assume that the density of the earth

Filters

Select Stream
Select Type
Select Exam
Select Subject
Select Chapter
Q&A - Ask Doubts and Get Answers
Q
Engineering

Answer please! A rocket has to be launched from earth in such a way that it never returns. If E is the minimum energy that the launcher shouldhave if the same rocket is to be lunched from the surface of the moon? Assume that the density of the earth

A rocket has to be launched from earth in such a way that it never returns. If E is the minimum energy that the launcher should  have if the same rocket is to be lunched from the surface of the moon? Assume that the density of the earth and the moon are equal and that the earth's volume is 64 times the volume of the moon.

  • Option 1)

    \frac{E}{64}

  • Option 2)

    \frac{E}{32}

  • Option 3)

    \frac{E}{4}

  • Option 4)

    \frac{E}{16}

Answers (1)
Views
S solutionqc

Given: 

\rho _{moon}=\rho _{earth}

Volume of Earth=64(volume of moon)

\frac{mass\;of\;earth}{mass\;of\;moon}=\frac{\frac{4}{3}\pi R_{e}^{3} \times \rho _{earth}}{\frac{4}{3}\pi R_{m}^{3} \times \rho _{moon}}=\frac{R_{e}^{3}}{R_{m}^{3}}=64

R_{e}=4R_{m} \;\;and \;\; M_{e}=64M_{m}

\frac{E_{earth}}{E_{moon}}=\frac{\frac{GM_{e}m}{R_{e}}}{\frac{GM_{m}m}{R_{m}}}=\frac{M_{e}}{M_{m}}\times \frac{R_{m}}{R_{e}}=64 \times \frac{1}{4}=16

E_{moon}=\frac{E_{earth}}{16}


Option 1)

\frac{E}{64}

Option 2)

\frac{E}{32}

Option 3)

\frac{E}{4}

Option 4)

\frac{E}{16}

Similar Questions

Exams
Articles
Questions