What will be the value of g at the bottom of sea 7 km deep?Diameter of the earth is 12800 km and g on the surface of the earth is 9.8 ms^-2 .

As you will learn in the text, a geostationary satellite orbits the earth at a height of nearby 36000 km from the surface of the earth.What is the potential due to the earth's gravity at the site of this satellite?(take the potential energy at infinity to be zero).Mass of the earth = \(6.0\times { 10 }^{ 24 }\)kg, radius = 6400 km.

An earth's satellite has a period of 90 min.Assuming the orbit to be circular, calculate its height.Take radius of the earth equal to 6380 km and g at the surface of the earth equal 9.8m/s² .

Shweta was reading a book on the biography of Issac Newton. She read that Newton was sitting under an apple tree when a falling apple led him to develop a whole new science of gravity. After reading the book, shweta realised that every phenomenon in universe has some scientific fact associated with it, it depends on us whether we look for a scientific fact or associate a superstition with it.
How can you find the mass of the earth using law of gravitation?

Arjun was a student of class IX. He was sitting in a garden along with his grandmother, who was a retired physics teacher. Suddenly he saw an orange falling from the tree. Immediately he asked his grandmother that both of the orange and earth experience equal and opposite forces of gravitation, then why it is the orange that falls towards the earth and not the earth towards the orange. His grandmother explained him the reason in a simple way.
(i) What are the values being displayed by Arjun?
(ii) What in your opinion may be the reason for this observation?

Calculate the period of revolution of the Neptune around the sun. Given that radius of its orbit is 30 times the earth's orbital radius around the sun.

Two steel balls whose masses are 502 kg and 0.25 kg are placed with their centres half a metre apart with what force do they attract each other?

A body weighs 90kg on the surface of the earth. How much will it weigh on the surface of the mass whose mass is \(\frac { 1 }{ 9 } th\)and radius \(\frac { 1 }{ 2 } \)of that of the earth?

Io, one of the satellites of jupiter, has an orbital period of 1.769 days and the radius of the orbit is 4.22 x 10⁸ m. Show that the mass of jupiter is about one-thousandth that of the sun.

A rocket is fired from the earth towards the sun. At what distance from the earth's centre is the gravitational force on the rocket zero? Mass of the sun = 2 x 10³⁰ kg, mass of the earth = 6 x 10²⁴ kg. Neglect the effect of other planets etc. (orbital radius = 1.5 x 10¹¹ m).

Two bodies of masses M₁ and M₂ are placed at a distance d apart. What is the potential at the position where the gravitational field due to them is zero?