Question

is wrong or undesirable about the other choices. (Note that a probe to the outer planets might take many years to reach its destinations.) Derivations C40.1 Prove that we can calculate the position of the cen- ter of mass of any set of extended objects by treating each object as if all its mass is concentrated at a point at its indi vidual center of mass. (Hints: Equation C4.1 implies that Micm = mFi + m ra + ... + min (C4.11) where M is the system's total mass and the sum is over all N elementary particles in the system. A similar equation allows you to calculate mar, for object A by summing over all of the particles in that particular object. Argue that you can group the terms in equation C4.11 in such a way to prove the result.) C4D.2 Prove that in a two-object system, the distance between the system's center of mass and each object is inversely proportional to that object's mass. Rich Context 1 b fradius R has

just c4d.1,

Answer 1

Solution 1. The position of the center of mass of any set of extended objects is, N ΣmF Ση -l mjm, +m - m tm2++ my -- + -- - CM