If the escape velocity of a body from the sur | vedclass

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

Question

(D) The escape velocity from the surface of the earth is given by $v_e = \sqrt{\frac{2GM}{R}} = 11.2 \,km \,s^{-1}$.The orbital velocity of a satellit

Vedclass · Accepted Answer

$5.6 \,km \,s^{-1}$

Vedclass · Answer

(D) The escape velocity from the surface of the earth is given by $v_e = \sqrt{\frac{2GM}{R}} = 11.2 \,km \,s^{-1}$.The orbital velocity of a satellite at a height $h$ from the surface is given by $v_o = \sqrt{\frac{GM}{R+h}}$.Given that the height $h = R$, the orbital velocity becomes $v_o = \sqrt{\frac{GM}{R+R}} = \sqrt{\frac{GM}{2R}}$.We can express $v_o$ in terms of $v_e$ as follows:$v_o = \sqrt{\frac{1}{4} \cdot \frac{2GM}{R}} = \frac{v_e}{2}$.Substituting the value of $v_e = 11.2 \,km \,s^{-1}$:$v_o = \frac{11.2}{2} = 5.6 \,km \,s^{-1}$.

If the escape velocity of a body from the surface of the earth is $11.2 \,km \,s^{-1}$, then the orbital velocity of a satellite in an orbit which is at a height equal to the radius of the earth is

Similar Questions

Two satellites of masses $m$ and $4m$ are revolving in the same orbit around the Earth. Which one of the following statements is correct?

The radii of circular orbits of two satellites $A$ and $B$ of the earth are $4R$ and $R,$ respectively. If the speed of satellite $A$ is $3V,$ then the speed of satellite $B$ will be ...... $V$.

Two particles of equal mass $m$ go around a circle of radius $R$ under the action of their mutual gravitational attraction. The speed of each particle with respect to their centre of mass is

$A$ satellite is launched into a circular orbit of radius $R$ around the earth. $A$ second satellite is launched into an orbit of radius $(1.01)R$. The period of the second satellite is larger than that of the first one by approximately ........... $\%$

$A$ satellite is orbiting the Earth in a circular orbit of radius $r.$ Which of the following statements is correct?

Vedclass Test Series

Exam Paper Generator

Online Exam Module