A satellite S is moving in an elliptical orbi | vedclass

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

Question

(A) The gravitational force exerted by the Earth on the satellite always acts towards the centre of the Earth. According to Newton's second law,$F = m

Vedclass · Accepted Answer

The acceleration of $S$ is always directed towards the centre of the Earth.

Vedclass · Answer

(A) The gravitational force exerted by the Earth on the satellite always acts towards the centre of the Earth. According to Newton's second law,$F = ma$,the acceleration of the satellite is always directed towards the centre of the Earth.Since the gravitational force is a central force,the torque acting on the satellite about the centre of the Earth is zero. Therefore,the angular momentum $L$ of the satellite remains constant in both magnitude and direction.According to the law of conservation of energy,in the absence of non-conservative forces,the total mechanical energy of the satellite remains constant throughout its orbit.Since the distance $r$ of the satellite from the Earth varies in an elliptical orbit,the orbital velocity $v$ must change to conserve angular momentum $(L = mvr \sin 	heta)$. Consequently,the linear momentum $p = mv$ is not constant.

$A$ satellite $S$ is moving in an elliptical orbit around the Earth. The mass of the satellite is very small compared to the mass of the Earth.

Similar Questions

$A$ particle is moving in an elliptical orbit as shown in the figure. If $\vec{p}$,$\vec{L}$,and $\vec{r}$ denote the linear momentum,angular momentum,and position vector of the particle (from focus $O$) respectively at point $A$,then the direction of $\vec{\alpha} = \vec{p} \times \vec{L}$ is along

The period of a satellite in a circular orbit around a planet is independent of

The correct formula for the height $h$ of a satellite from the Earth's surface is:

The height of a geostationary satellite is approximately ........ $km$.

Describe the method for drawing an ellipse and explain the foci of an ellipse,midpoint,and semi-major axis.

Vedclass Test Series

Exam Paper Generator

Online Exam Module