OBJECTIVE I

The time period of an earth-satellite in a circular orbit is independent of

The magnitude of the gravitational potential energy of the moon-earth system is $U$ with zero potential energy at infinite separation. The kinetic energy of the moon with respect to the earth is $K$. Which of the following is true?

The given figure shows the elliptical path of a planet about the sun. The two shaded parts have equal area. If $t_1$ and $t_2$ are the time taken by the planet to go from $a$ to $b$ and from $c$ to $d$ respectively. Then,

A person sitting in a chair in a satellite feels weightless because

A body is suspended from a spring balance kept in a satellite. The reading of the balance is $W_1$, when the satellite goes in an orbit of radius $R$ and is $W_2$, when it goes in an orbit of radius $2R$. Which of the following is correct?

How much kinetic energy is needed to project a body of mass $m$ from the Earth's surface to infinity?

A particle is kept at rest at a distance $R$ (Earth's radius) above the Earth's surface. The minimum speed with which it should be projected so that it does not return is

A satellite is orbiting the Earth close to its surface. A particle is to be projected from the satellite to just escape from the Earth. The escape speed from the Earth is $v_{\mathrm{e}}$. What is the particle speed with respect to the satellite?