Question:

As shown in figure, a planet revolves in elliptical orbit around the sun. Where is KE of the planet maximum?

Updated On: Jun 20, 2022
  • At $P_4$
  • At $P_1$
  • At $P_2$
  • At $P_3$
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The Correct Option is A

Solution and Explanation

By the Iaw of conservation of anguiar momentum, we have
$\hspace30mm J = I \omega =$ constant
where, I is moment of inertia and co is angular velocity.
Also, $\hspace15mm I = MR^2$ and $\omega = \frac{v}{R}$
$\therefore \hspace30mm v \propto \frac{1}{R} $
At $P_4$ the value of R is minimum, hence the velocity is

maximum or kinetic energy will be maximum.
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Concepts Used:

Kinetic energy

Kinetic energy of an object is the measure of the work it does as a result of its motion. Kinetic energy is the type of energy that an object or particle has as a result of its movement. When an object is subjected to a net force, it accelerates and gains kinetic energy as a result. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity. Any combination of motions is possible, including translation (moving along a route from one spot to another), rotation around an axis, vibration, and any combination of motions.