## Related questions with answers

Question

A satellite is in an elliptic orbit around the Earth (Fig. 8-51). Its speed at the perigee A is $8650\mathrm{~m/s}$. $(a)$ Use conservation of energy to determine its speed at B.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2$\mathrm{r_B=\sqrt{(13900\;km)^2+(8230\;km)^2}=16150\;km}$

Applying energy conservation at points A and B:

$\mathrm{E_A=E_B}$

$\mathrm{\dfrac{1}{2}mv_A^2+\left(-\dfrac{GM_Em}{r_A}\right)=\dfrac{1}{2}mv_B^2+\left(-\dfrac{GM_Em}{r_B}\right)}$

$\mathrm{v_B=\sqrt{v_A^2+2GM_E\left(\dfrac{1}{r_B}-\dfrac{1}{r_A}\right)}}$

$\mathrm{=\sqrt{(8650\;m/s)^2+2(6.67\times10^{-11}\;Nm^2/kg^2)(5.98\times10^{24}\;kg)\left(\dfrac{1}{1.615\times10^7\;m}-\dfrac{1}{8.23\times10^6\;m}\right)}}$

$\mathrm{=5220\;m/s}$

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Physics for Scientists and Engineers with Modern Physics

4th Edition•ISBN: 9780131495081 (8 more)Douglas C Giancoli7,069 solutions

#### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th Edition•ISBN: 9780133942651 (8 more)Randall D. Knight3,508 solutions

#### Introduction to Quantum Mechanics

3rd Edition•ISBN: 9781107189638Darrell F. Schroeter, David J. Griffiths485 solutions

## More related questions

1/4

1/7