solve - (8/9)³ ÷ (8/9)²
Answers
Answer:
8/9
Step-by-step explanation:
(8×8×8/9×9×9)÷(8×8/9×9)
8/9
Answer:
Time Period of Satellite:
⇒ For a satellite time taken to complete one round around the earth is known as time period of the satellite.
Derivation:
\begin{gathered}\implies \sf T = \dfrac{Circumference\;of\;orbit}{Velocity}\\ \\ \\ \implies \sf T = \dfrac{2\pi r}{v_{o}}\\ \\ \\ \implies \sf T = \dfrac{2\pi r r^{1/2}}{\sqrt{GM}}\\ \\ \\ \implies \sf T = \dfrac{2\pi r^{3/2}}{\sqrt{GM}}\\ \\ \\ \implies \sf T=2\pi\sqrt{\dfrac{r^{3}}{GM}}\\ \\ \\ \sf As\;we\;know,\;r=Re+h\\ \\ \\ \implies {\boxed{\sf T= 2\pi \sqrt{\dfrac{(Re+h)^{3}}{GM}}}}\;\;\;\;.......(1)\end{gathered}
⟹T=
Velocity
Circumferenceoforbit
⟹T=
v
o
2πr
⟹T=
GM
2πrr
1/2
⟹T=
GM
2πr
3/2
⟹T=2π
GM
r
3
Asweknow,r=Re+h
⟹
T=2π
GM
(Re+h)
3
.......(1)