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please help me i cant figure this one out!

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A planet follows an elliptical orbit that brings it as close as 41 million km to a star and as far as 70 million km from the star. At both of these locations the velocity of the planet makes a right angle to the direction to the star. If the planet's speed is 38 km/s when it is farthest from the star, how fast is it moving when it is closest to the star?

Oct 23rd, 2017

the angular momentum of the system is conserved in the motion, we have 

mv1r1= m v2r2 

v2 = r1/r2* v1  = 70/41 *38 =  64.9 km/s

Apr 13th, 2015

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Oct 23rd, 2017
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Oct 23rd, 2017
Oct 24th, 2017
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