Re: Momentum and kinetic energy

On Apr 19, 10:00 am, Vishvas Vasuki <vish...@xxxxxxxxxxxxxxxx> wrote:
Hi! If an object has constant linear momentum mv, logically, it also
has constant kinetic energy (1/2)mv^2. However, if an object has
constant angular momentum mr^2w, it may, or may not have constant
kinetic energy (1/2)m(rw)^2. From the mathematical viewpoint, could
someone please tell, does this make any sense? I understand linear and
angular momentum are not two different kinds of momentum.

Peter

Hi :) But, if a body has constant angular momentum, how can the kinetic
energy due to its rotational motion be anything but constant?

--
-
Vishvas Vasuki

Good question. The planets of the solar system, which have elliptical
orbits, are supposed to have constant angular momentum. At least, that
is what people think, because their mr^2w is constant; this is what
Kepler's second law says. But it is known that their tangential
velocities vary; thus, their kinetic energies is not constant.

Peter

.

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