A remote-sensing satellite of Earth revolves | vedclass

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

Question

(B) The orbital speed of a satellite is given by the formula $v_0 = \sqrt{\frac{GM}{R+h}}$.Since $g = \frac{GM}{R^2}$,we have $GM = gR^2$.Substituting

Vedclass · Accepted Answer

$7.76$

Vedclass · Answer

(B) The orbital speed of a satellite is given by the formula $v_0 = \sqrt{\frac{GM}{R+h}}$.Since $g = \frac{GM}{R^2}$,we have $GM = gR^2$.Substituting this into the orbital speed formula,we get $v_0 = \sqrt{\frac{gR^2}{R+h}} = R \sqrt{\frac{g}{R+h}}$.Given values: $R = 6.38 	imes 10^6 \, m$,$h = 0.25 	imes 10^6 \, m$,and $g = 9.8 \, m s^{-2}$.Total orbital radius $r = R + h = (6.38 + 0.25) 	imes 10^6 \, m = 6.63 	imes 10^6 \, m$.Now,$v_0 = \sqrt{\frac{9.8 	imes (6.38 	imes 10^6)^2}{6.63 	imes 10^6}} = \sqrt{\frac{9.8 	imes 40.7044 	imes 10^{12}}{6.63 	imes 10^6}} = \sqrt{60.16 	imes 10^6} \approx 7.756 	imes 10^3 \, m s^{-1}$.Thus,$v_0 \approx 7.76 \, km s^{-1}$.

$A$ remote-sensing satellite of Earth revolves in a circular orbit at a height of $0.25 \times 10^6 \, m$ above the surface of Earth. If Earth's radius is $6.38 \times 10^6 \, m$ and $g = 9.8 \, m s^{-2}$,then the orbital speed of the satellite is ...... $km s^{-1}$.

Similar Questions

$A$ satellite is moving around the earth with speed $v$ in a circular orbit of radius $r$. If the orbit radius is decreased by $1\%$,its speed will

The rotation period of an earth satellite close to the surface of the earth is $83$ minutes. The time period of another earth satellite in an orbit at a distance of three earth radii from its surface will be .......... $\min$

$A$ satellite of the earth is revolving in a circular orbit with a uniform velocity $V$. If the gravitational force suddenly disappears,the satellite will

In a satellite,if the time of revolution is $T$,then the kinetic energy $(K.E.)$ is proportional to:

Two satellites $A$ and $B$ go round a planet $P$ in circular orbits having radii $4R$ and $R$ respectively. If the speed of the satellite $A$ is $3V$,the speed of the satellite $B$ will be ........ $V$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module