English
Maharashtra State BoardSSC (English Medium) 10th Standard

Write the Kepler’s laws.

Advertisements
Advertisements

Question

Write the Kepler’s laws.

Law
Advertisements

Solution

  1. Kepler’s first law: The orbit of a planet is an ellipse with the sun at one of the foci.
  2. Kepler’s second law: The line joining the planet and the sun sweeps equal areas in equal intervals of time.
  3. Kepler’s third law: The square of the orbital period of revolution of a planet around the Sun is directly proportional to the cube of the mean distance of the planet from the Sun.
shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Gravitation - Answer the Following

RELATED QUESTIONS

Let us assume that our galaxy consists of 2.5 × 1011 stars each of one solar mass. How long will a star at a distance of 50,000 ly from the galactic centre take to complete one revolution? Take the diameter of the Milky Way to be 105 ly


Let the period of revolution of a planet at a distance R from a star be T. Prove that if it was at a distance of 2R from the star, its period of revolution will be \[\sqrt{8}\] T.


Identify the law shown in the figure and state three respective laws.


Answer the following question in detail.

State Kepler’s three laws of planetary motion.


Observe the given figure showing the orbit of a planet moving around the Sun and write the three laws related to it:


The orbit of a planet moving around the Sun


The mass and radius of earth is 'Me' and 'Re' respectively and that of moon is 'Mm' and 'Rm' respectively. The distance between the centre of the earth and that of moon is 'D'. The minimum speed required for a body (mass 'm') to project from a point midway between their centres to escape to infinity is ______.


A planet revolves in an elliptical orbit around the sun. The semi-major and minor axes are a and b, then the time period is given by:


In our solar system, the inter-planetary region has chunks of matter (much smaller in size compared to planets) called asteroids. They ______.


If the sun and the planets carried huge amounts of opposite charges ______.

  1. all three of Kepler’s laws would still be valid.
  2. only the third law will be valid.
  3. the second law will not change.
  4. the first law will still be valid.

Supposing Newton’s law of gravitation for gravitation forces F1 and F2 between two masses m1 and m2 at positions r1 and r2 read F1 = – F2 = `- r_12/r_12^3 GM_0^2 ((m_1m_2)/M_0^2)^n` where M0 is a constant of dimension of mass r12 = r1 – r2 and n is a number. in such a case.

  1. the acceleration due to gravity on earth will be different for different objects.
  2. none of the three laws of Kepler will be valid.
  3. only the third law will become invalid.
  4. for n negative, an object lighter than water will sink in water.

Give one example each of central force and non-central force.


Draw areal velocity versus time graph for mars.


A star like the sun has several bodies moving around it at different distances. Consider that all of them are moving in circular orbits. Let r be the distance of the body from the centre of the star and let its linear velocity be v, angular velocity ω, kinetic energy K, gravitational potential energy U, total energy E and angular momentum l. As the radius r of the orbit increases, determine which of the above quantities increase and which ones decrease.


The maximum and minimum distances of a comet from the Sun are 1.6 × 1012 m and 8.0 × 1010 m respectively. If the speed of the comet at the nearest point is 6 × 104 ms-1, the speed at the farthest point is ______.


How can an ellipse be drawn using pins and thread?


What is at one focus of the elliptical orbit of a planet?


The time taken by a planet to orbit the Sun depends on ______.


Two identical particles each of mass ‘m’ go round a circle of radius a under the action of their mutual gravitational attraction. The angular speed of each particle will be ______


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×