An earth satellite is moved from one stable c | vedclass

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

Question

(A) The gravitational potential energy of a satellite in an orbit of radius $r$ is given by $U = -\frac{GMm}{r}$. As the radius $r$ increases,the valu

Vedclass · Accepted Answer

Gravitational potential energy

Vedclass · Answer

(A) The gravitational potential energy of a satellite in an orbit of radius $r$ is given by $U = -\frac{GMm}{r}$. As the radius $r$ increases,the value of $U$ becomes less negative,meaning it increases.The orbital velocity is $v = \sqrt{\frac{GM}{r}}$. As $r$ increases,$v$ decreases.The angular velocity is $\omega = \frac{v}{r} = \sqrt{\frac{GM}{r^3}}$. As $r$ increases,$\omega$ decreases.The centripetal acceleration is $a_c = \frac{v^2}{r} = \frac{GM}{r^2}$. As $r$ increases,$a_c$ decreases.Therefore,only the gravitational potential energy increases.

An earth satellite is moved from one stable circular orbit to another larger and stable circular orbit. Which of the following quantities increases for the satellite as a result of this change?

Similar Questions

The gravitational field due to a mass distribution is $E = K/x^3$ in the $X$-direction ($K$ is a constant). Taking the gravitational potential to be zero at infinity,its value at a distance $x$ is:

If the potential at the surface of the Earth is assigned a zero value,then the potential at the center of the Earth will be (Mass $= M$,Radius $= R$).

What is the total energy of a system of two masses at an infinite distance from each other?

If $W_1, W_2$ and $W_3$ represent the work done in moving a particle from $A$ to $B$ along three different paths $1, 2$ and $3$ (as shown in the figure) in the gravitational field of the point mass '$m$',find the correct relation between '$W_1$','$W_2$' and '$W_3$'.

Obtain an expression for the gravitational potential at a point in the gravitational field of the Earth. Give the relation between gravitational potential and gravitational potential energy.

Vedclass Test Series

Exam Paper Generator

Online Exam Module