(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(a) What is the escape speed from the sun for an object in the Earth's orbit (of orbital radius R) but

far from the Earth? (b) If an object already has a speed equal to the Earth's orbital speed, what

additional speed must it be given to escape as in (a)? (c) Suppose an object is launched from Earth

in the direction of the Earth's orbital motion. What speed must it be given during the launch so

that when it is far from Earth, but still at a distance of about R from the sun, it has that additional

speed calculated in (b) and thus can escape from the sun?

2. Relevant equations

F = ma

3. The attempt at a solution

I was able to find the answers for parts (a) and (b), but am completely unsure of where to go for part (c). At first, I thought that I needed to find the distance away from the Earth at which the object has a speed of 12.3 km/s (obtained from part (b)), and then use that distance to calculate the velocity of launch. When I did that, I just ended up with the Earth's orbital speed, as calculated in part (b).

1. F = ma = mv^2/R = G * M(sun) * m/R^2

2. v = (G*M(sun)/R)^1/2 = 29.8 km/s

Once I did that, I realized I must not be on the right track. I'm completely unsure of where to begin!

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# Homework Help: An object is launched from the Earth to escape the Sun

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