Two satellites A and B of masses 200 , kg and | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The time period of a satellite at a height $h$ from the Earth's surface is given by $T = 2 \pi \sqrt{\frac{(R+h)^{3}}{GM}}$.For satellite $A$: $h_

Vedclass · Accepted Answer

$1.33 	imes 10^{3} \, s$

Vedclass · Answer

(A) The time period of a satellite at a height $h$ from the Earth's surface is given by $T = 2 \pi \sqrt{\frac{(R+h)^{3}}{GM}}$.For satellite $A$: $h_{A} = 600 \, km = 0.6 	imes 10^{6} \, m$,$R = 6.4 	imes 10^{6} \, m$. Orbital radius $r_{A} = R + h_{A} = 7.0 	imes 10^{6} \, m$.$T_{A} = 2 \pi \sqrt{\frac{(7.0 	imes 10^{6})^{3}}{6.67 	imes 10^{-11} 	imes 6 	imes 10^{24}}} \approx 5800 \, s$.For satellite $B$: $h_{B} = 1600 \, km = 1.6 	imes 10^{6} \, m$. Orbital radius $r_{B} = R + h_{B} = 8.0 	imes 10^{6} \, m$.$T_{B} = 2 \pi \sqrt{\frac{(8.0 	imes 10^{6})^{3}}{6.67 	imes 10^{-11} 	imes 6 	imes 10^{24}}} \approx 7133 \, s$.$T_{B} - T_{A} = 7133 - 5800 = 1333 \, s = 1.33 	imes 10^{3} \, s$.

Similar Questions

Obtain an equation for the orbital time period of a satellite revolving around the Earth.

Two satellites of earth,$S_{1}$ and $S_{2}$,are moving in the same orbit. The mass of $S_{1}$ is four times the mass of $S_{2}$. Which one of the following statements is true?

Orbital velocity of an artificial satellite does not depend upon

Two satellites $A$ and $B$ are revolving around the earth in orbits of heights $1.25 R_E$ and $19.25 R_E$ from the surface of the earth respectively,where $R_E$ is the radius of the earth. The ratio of the orbital speeds of the satellites $A$ and $B$ is (in $: 1$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module