Q. 29

# The time taken by the Mars to revolve round the sun is 1.88 years. Find the ratio of average distance between Mars and the sun to that between the earth and the sun.

Answer :

The period of revolution of mars is and that of earth is . Let the distance between mars and sun be and that between earth and sun be .

Now, from Kepler’s third law, the time period of an orbit is proportional to the cube of the radius of the orbit.

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A Mars satellite moving in an orbit of radius 9.4 × 10^{3} Km takes 27540 s to complete one revolution. Calculate the mass of Mars.

The moon takes about 27.3 days to revolve round the earth in a nearly circular orbit of radius 3.84 × 10^{5} Km. Calculate the mass of the earth from these data.

The time taken by the Mars to revolve round the sun is 1.88 years. Find the ratio of average distance between Mars and the sun to that between the earth and the sun.

HC Verma - Concepts of Physics Part 1If the sun and the planets carried huge amounts of opposite charges,

Physics - ExemplarA satellite of mass 1000 kg is supposed to orbit the earth at a height of 2000 Km above the earth’s surface. Find

(a) Its speed in the orbit.

(b) Its kinetic energy.

(c) The potential energy of the earth-satellite system and

(d) Its time period. Mass of the earth = 6 × 10^{24} Kg.

HC Verma - Concepts of Physics Part 1