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Problem 6.97 With the origin at one corner of a soccer field, there\'s a 72.2 k

ID: 2264342 • Letter: P

Question

Problem 6.97 With the origin at one corner of a soccer field, there's a 72.2kg player standing at coordinates (24.3 m, 35.9 m) and a 76.4kg player at (78.8 m, 21.5 m).Part A Where's the center of mass of these two players? Enter the x and y cooordinates of the the center of mass separated by a comma. Problem 6.97 With the origin at one corner of a soccer field, there's a 72.2kg player standing at coordinates (24.3 m, 35.9 m) and a 76.4kg player at (78.8 m, 21.5 m).Part A Where's the center of mass of these two players? Enter the x and y cooordinates of the the center of mass separated by a comma. With the origin at one corner of a soccer field, there's a 72.2kg player standing at coordinates (24.3 m, 35.9 m) and a 76.4kg player at (78.8 m, 21.5 m).Part A Where's the center of mass of these two players? Enter the x and y cooordinates of the the center of mass separated by a comma. With the origin at one corner of a soccer field, there's a 72.2kg player standing at coordinates (24.3 m, 35.9 m) and a 76.4kg player at (78.8 m, 21.5 m).Part A Where's the center of mass of these two players? Enter the x and y cooordinates of the the center of mass separated by a comma.

Explanation / Answer

X-coordinate of C.M= (m1x1+m2x2)/(m1+m2)= (72.2*24.3+76.4*78.8)/(72.2+76.4) = 52.32 m


Y-coordinate of C.M= (m1y1+m2y2)/(m1+m2)= (72.2*35.9+76.4*21.5)/(72.2+76.4) = 28.49 m



==> (52.3 m, 28.5 m)