Gravitation - Mechanics - Physics Previous Year Questions

A satellite is orbiting close to the earth and has a kinetic energy \(K\). The minimum extra kinetic energy required by it just overcome the gravitation pull of the earth is

The value of acceleration due to gravity at a height of \(10 \mathrm{~km}\) from the surface of earth is \(x\). At what depth inside the earth is the value of the acceleration due to gravity has the same value \(x\) ?

Two bodies of masses \(8 \mathrm{~kg}\) are placed at the vertices \(A\) and \(B\) of an equilateral triangle \(A B C\). A third body of mass \(2 \mathrm{~kg}\) is placed at the centroid \(G\) of the triangle. If \(A G=B G=C G=1 \mathrm{~m}\), where should a fourth body of mass \(4 \mathrm{~kg}\) be placed, so that the resultant force on the \(2 \mathrm{~kg}\) body is zero?

Electrical as well as gravitational affects can be thought to be caused by fields. Which of the following is true for an electrical or gravitational field?

When a planet revolves around the Sun, in general, for the planet

What is the value of acceleration due to gravity at a height equal to half the radius of the Earth, from its surface ?

The total energy of a satellite in a circular orbit at a distance $(R+h)$ from the centre of the Earth varies as [ $R$ is the radius of the Earth and $h$ is the height of the oribit from Earth's surface]

If $r_p, v_p, L_p$ and $r_a, v_a, L_a$ are radii, velocities and angular momenta of a planet at perihelion and aphelion of its elliptical orbit around the Sun respectively, then