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The orbital angular momentum of a satellite revolving at a distance 'r' from the centre of Earth is 'L'. If the distance is increased to '16 r', what will be the orbital angular momentum?
The time period of a satellite of Earth is 5 hours. If the separation between Earth and the satellite is increased to 4 times the previous value, the new time period will become
T = time period and R is separation between Earth and the satellite. Then, relation between time period and separation is
In order to shift a body of mass 'm' from a circular orbit of radius '3R' to a higher orbit of radius '5R' around Earth, where 'R' is radius of Earth; the work done is:
Kepler's second law states that the straight line joining a planet to the sun sweeps out equal areas in equal time. This statement is equivalent to the statement that
Earth and all other planets move around the sun under the effect of gravitational force. This force always acts along the line joining the centre of the planet and the sun and is directed towards the sun. In other words, a planet moves around the sun under the effect of a purely radial force. Therefore, areal velocity of the planet must always remain constant.
Two bodies A and B have masses 'M' and 'm' respectively, where M > m, and they are at a distance 'd' apart. Equal forces are applied to them so that they approach each other. The position where they hit each other is
As, A is heavier than B. So, when same force is applied to both the masses, the lighter mass (B) will have greater acceleration. Since, B has greater acceleration it will cover more distance than A. Hence, both the masses will hit each other near to A.
Two satellites of Earth, S1 and S2, are moving in the same orbit. The mass of S1 is four times the mass of S2. Which of the following statements is true?
Orbital speed of a satellite is independent of the mass of the satellite and depends upon the mass of the planet (M) and the radius of the orbit (r).
The mass of the moon is 1/12 Me. If the acceleration due to gravity on the moon is g/6, then its radius is
A satellite, which is geostationary in a particular orbit, is taken to another orbit. Its distance from the centre of Earth in the new orbit is two times that of the earlier orbit. The time period of the satellite in the second orbit is
What would be the angular velocity of earth in radian per second, if the weight of a body at equator becomes zero?
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