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Express your answers in terms of a ( semi-major axis of the ellipse) and k (constant in the force given)

have no idea how to do this question

can any i help me?

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- #1

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Express your answers in terms of a ( semi-major axis of the ellipse) and k (constant in the force given)

have no idea how to do this question

can any i help me?

- #2

vela

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[tex]\langle V \rangle = \frac{1}{T}\int_0^T V(r(t))\,dt[/tex]

where T is the period of the orbit. You should know what V(r) is since you're given the force. Presumably, you know the equation for the orbit. You probably have it as r(θ) whereas you want r(t), so you may have to do some math to come up with the correct integral.

Similarly, to find the average kinetic energy, you need to evaluate the integral

[tex]\langle K \rangle = \frac{1}{T}\int_0^T \frac{1}{2}mv(t)^2 \,dt[/tex]

By the way, what course is this question for? It seems a little advanced for an introductory physics course.

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