(Solved): Please solve part b to this question. The answer IS NOT ( 4 2 b3 )/G T2| (8\%) Problem 1: You a ...

Please solve part b to this question. The answer IS NOT ( 4 ?² b³ )/G T²|

(8\%) Problem 1: You are a scientist exploring a mysterious planet. You have performed measurements and know the following things: -The planet has radius $d$. -It is orbiting his star in a circular orbit of radius $b$. -It takes time $T$ to complete one orbit around the star. -The free-fall acceleration on the surface of the planet is $a$. $50\%$ Part (a) Derive an expression for the mass $M_P$ of the planet in terms of $a,d$ and $G$ the universal gravitational constant. Assume that gravitational effect of the star at the planet's surface is negligible. $M_P=\left({\mathrm{ad}}^2\right)/\mathrm{G}v\text{ Correct! }$