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Planet X of mass m1 orbits a Sun in uniform circular motion at a distance r1 and speed v1. The mass of the Sun is MS1 and its radius is RS1 as shown in the figure below.
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If the planet's mass were doubled, how would its speed v1 change? 1) v1 would remain the same 2) v1 would increase by a factor of the square root of 2 3) v1 would increase by a factor of 2 I think it is 2 because \[a=\frac{ v^2 }{ r }\]
F=ma \[F=G \frac{ M1M2 }{ r^2 }\]
@satellite73 @Shadowys I think I have it right but I just want to make certain.
Yup. It's 2.
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