Gravitation PYQs - Last 10 Years

Imagine a new planet having the same density as that of the earth, but it is two times bigger than the earth in size. If the acceleration due to gravity on the surface of the earth is $g$ and that on the surface of the new planet is $g'$, t...

Suppose the acceleration due to gravity at the earth's surface is $g \text{ m/s}^2$ and at the surface of moon it is $g' \text{ m/s}^2$. An M kg passenger goes from the earth to the moon in a spaceship moving with a constant velocity (Negle...

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

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

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

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?

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}...

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 \(x\) ?

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

A mass $m$ on the surface of the Earth is shifted to a target equal to the radius of the Earth. If $R$ is the radius and $M$ is the mass of the Earth, then work done in this process is

Which of the following graphs correctly represents the variation of $g$ on the Earth?

A space station is at a height equal to the radius of the Earth. If ' $v_E$ ' is the escape velocity on the surface of the Earth, the same on the space station is $\qquad$ times $v_E$.

The value of acceleration due to gravity at a depth of 1600 km is equal to