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Physics 211, Quiz 14

Question 1:

Billy (mass m = 30 kg) goes to the zoo. He stands 10 m away from an elephant (mass M = 1800 kg). How far is the center of mass of the (Billy + elephant) system away from Billy?

  Answer: Use a coordinate system with origin at Billy.

                                          m*x1 + M*x2
                X (center of mass)  =  ----------------
                                           (m + M)

                                        (30 kg)*(0 m) + (1800 kg)*(10 m)
                                    =  ---------------------------------
                                               (30 kg + 1800 kg)

                                    =  9.84 m    away from Billy

Creative Commons License Copyright © Michael Richmond. This work is licensed under a Creative Commons License.