The moon takes about 27.3 days to revolve round the earth in a nearly circular orbit of radius 3.84 × 105 Km. Calculate the mass of the earth from these data.
For an orbit, the time period is given by
Putting the values, we get,
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Earth’s orbit is an ellipse with eccentricity 0.0167. Thus, earth’s distance from the sun and speed as it moves around the sun varies from day to day. This means that the length of the solar day is not constant through the year. Assume that earth’s spin axis is normal to its orbital plane and find out the length of the shortest and the longest day. A day should be taken from noon to noon. Does this explain variation of length of the day during the year?Physics - Exemplar
Mean solar day is the time interval between two successive noon when sun passes through zenith point (meridian). Sidereal day is the time interval between two successive transit of a distant star through the zenith point (meridian). By drawing appropriate diagram showing earth’s spin and orbital motion, show that mean solar day is four minutes longer than the sidereal day. In other words, distant stars would rise 4 minutes early every successive day.
(Hint: you may assume circular orbit for the earth).
Physics - Exemplar
A Mars satellite moving in an orbit of radius 9.4 × 103 Km takes 27540 s to complete one revolution. Calculate the mass of Mars.HC Verma - Concepts of Physics Part 1
The moon takes about 27.3 days to revolve round the earth in a nearly circular orbit of radius 3.84 × 105 Km. Calculate the mass of the earth from these data.HC Verma - Concepts of Physics Part 1
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 1
Shown are several curves (Fig. 8.2). Explain with reason, which ones amongst them can be possible trajectories traced by a projectile (neglect air friction).
Physics - Exemplar
If the sun and the planets carried huge amounts of opposite charges,Physics - Exemplar
A 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 × 1024 Kg.
HC Verma - Concepts of Physics Part 1