English

State Kepler'S Law of Orbit and Law of Equal Areas. - Physics

Advertisements
Advertisements

Question

State Kepler's law of orbit and law of equal areas.

Short/Brief Note
Advertisements

Solution 1

Ist law ( Law of orbit ) : The orbital path in the solar system is an ellipse with sun as one focus.


2nd law ( Law of equal area ) : The radius vector joining the centre of the planet to the centre of sun traces out equal area in equal intervals of time.

i.e.The area velocity of the planet is constant

shaalaa.com

Solution 2

All planet revolves around the sun in the elliptical orbit, the sun as one of its focus.

The line joining sun and planet sweeps the equal area in equal time interval i.e. Areal velocity is constant.

shaalaa.com
  Is there an error in this question or solution?
2012-2013 (March)

Video TutorialsVIEW ALL [1]

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.


Answer the following question.

State Kepler’s law of equal areas.


Answer the following question in detail.

State Kepler’s three laws of planetary motion.


The orbit of a planet revolving around a star is _______.


Observe the given figure and answer these following questions.


The orbit of a planet moving around the Sun

  1. What is the conclusion about the orbit of a planet?
  2. What is the relation between velocity of planet and distance from sun?
  3. Explain the relation between areas ASB, CSD and ESF.

Write the Kepler's laws.


State Kepler’s laws.


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 ______.


The earth moves around the sun in an elliptical orbit as shown in the figure. The ratio, `"OA"/"OB"` = x. The ratio of the speed of the earth at Band at A is ______.


To verify Kepler's third law graphically four students plotted graphs. Student A plotted a graph of T (period of revolution of planets) versus r (average distance of planets from the sun) and found the plot is straight line with slope 1.85. Student B plotted a graph of T2 v/s r3 and found the plot is straight line with slope 1.39 and negative Y-intercept. Student C plotted graph of log T v/s log r and found the plot is straight line with slope 1.5. Student D plotted graph of log T v/s log r and found the plot is straight line with slope 0.67 and with negative X-intercept. The correct graph is of student


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:


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.

The centre of mass of an extended body on the surface of the earth and its centre of gravity ______.

  1. are always at the same point for any size of the body.
  2. are always at the same point only for spherical bodies.
  3. can never be at the same point.
  4. is close to each other for objects, say of sizes less than 100 m.
  5. both can change if the object is taken deep inside the earth.

Out of aphelion and perihelion, where is the speed of the earth more and why?


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 ______.


A planet revolving in an elliptical orbit has:

  1. a constant velocity of revolution.
  2. has the least velocity when it is nearest to the sun.
  3. its areal velocity is directly proportional to its velocity.
  4. areal velocity is inversely proportional to its velocity.
  5. to follow a trajectory such that the areal velocity is constant.

Choose the correct answer from the options given below:


Two planets A and B of equal mass are having their period of revolutions TA and TB such that TA = 2TB. These planets are revolving in the circular orbits of radii rA and rB respectively. Which out of the following would be the correct relationship of their orbits?


Halley's Comet revolves around the sun for a time period of 76 years. The aphelion distance if perihelion is given by 8.9 × 1010 m, will be ______.

(Take, the mass of sun = 2 × 1030 kg and G = 6.67 × 10-11 Nm3/kg2)


What is one practical use of Kepler’s laws?


How can an ellipse be drawn using pins and thread?


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


When is a planet moving fastest in its orbit?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×