The linear momentum and position vector of the planet is perpendicular to each other at

According to Kepler’s second law, the radial vector to a planet from the Sun sweeps out equal areas in equal intervals of time. This law is a consequence of

The work done by the Sun’s gravitational force on the Earth is

If a person moves from Chennai to Trichy, his weight

The work done by Sun on Earth in one year will be

State Kepler’s three laws.

Define the gravitational field. Give its unit.

Define gravitational potential.

Define weight.

Assume that you are in another solar system and provided with the set of data given below consisting of the planets’ semi-major axes and time periods. Can you infer the relation connecting semi-major axis and time period?

Two bodies of masses m and 4m are placed at a distance r. Calculate the gravitational potential at a point on the line joining them where the gravitational field is zero.

If the angular momentum of a planet is given by \(\vec{L}=5t^2\hat i-6t\hat j+3\hat k\) . What is the torque experienced by the planet? Will the torque be in the same direction as that of the angular momentum?

A student was asked a question ‘why are there summer and winter for us? He replied as since Earth is orbiting in an elliptical orbit, when the Earth is very far away from the Sun(aphelion) there will be winter, when the Earth is nearer to the Sun(perihelion) there will be winter. Is this answer correct? If not, what is the correct explanation for the occurrence of summer and winter?

Discuss the forces which depend on the type on the type of interaction.

What are the points to be noted to study about gravitational field?

Find the expression of the orbital speed of satellite revolving around the earth.

What will be the potential energy of a body of mass 67 kg at a distance of 6.6 x 1010 m from the centre of the earth? Find gravitational potential at this distance.

Draw graphs showing the variation of acceleration due to gravity with
(i) height above the earth's surface
(ii) depth below the earth's surface.

Find the period of oscillation of a simple pendulum of length \(\alpha\) suspended from the roof a vehicle which moves without friction down an inclined plane of inclination \(\alpha.\)

Discuss the important features of the law of gravitation.

Explain how Newton verified his law of gravitation.

Derive an expression for escape speed.

Consider two point masses m₁ and m₂ which are separated by a distance of 10 meter as shown in the following figure. Calculate the force of attraction between them and draw the directions of forces on each of them. Take m₁= 1 kg and m₂ = 2 kg.