Question

a planet moving along an elliptical orbit is closest to the sun at a distance r1 and farthest away at distance r2.if v1 and v2 are the linear velocities respectively at these points then the ratio v1/v2

Answer 1

The solution is provided in the attachment.
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Answer 2

Explanation:

We are given the elliptical part of the planet moving around Sun and since moving in an elliptical path the distance from the sun is not always equal.

Hence there are two distances given at two different points and the velocity of the planet is also given at those two points.

Now we know that the mass velocity and the distance from the sun in an elliptical path give the formula for Momentum conservation.

Hence we can write the formula as:-

                                              $mr_{1}v_{1} = mr_{2}v_{2}$

Since, Momentum is talked about the same planet.

Hence the mass doesn't change their by cancel on both sides giving, $\frac{r_{1}}{r_{2}} = \frac{v_{1}}{v_{2}}$.

To know more:

Why all planets are elliptical in shape?

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