Hi! Can you provide response to each part of the problem by using physics concepts or formulas? Please also provide all math/formula/conceptual steps so that I can check my own work. This question involves Physics Conversions, Center of Mass, Conservation of Energy, Potential Energy, Kinetic energy, Work-energy Theorem, etc.

(b) {0) Searching for exoplanets From the vantage point of Jupiter, the Sun looks to be stationary as we orbit it. Rom the reference frame of the center of mass (the barycenter). the Sun and Jupiter orbit around the barycenter. In the center-of-mass reference frame, nd the \"orbital" velocity of the Sun. When we View stars from far away, We usually can't see the planets, but We can see the star wobble around the barycenter. The most sophisticated telescopes and speetrographs have detected this wobbling of stars (called \"radial velocities") as low as about 70 cm/s. Think about that. We can detect a star 70 light-years away that is wobbling at an ant's speed! In this case. the period is about 7 days, so we can watch it very closely. Would our instrument-s be able to detect. the wobble of the Sun induced by Jupiter if we viewed it from outside the Solar System? Optional: could we detect the wobble of the Sun by the Earth