A10.2-kg mass is located at the origin, and a 4.6-kg mass is located at x = 8.1 cm. assuming g is constant, what is the location of the center of mass xcom and the location of the center of gravity xcogof the two masses? are the locations the same? why or why not?

center of mass of the two masses will lie at x = 2.52 cm

center of gravity of the two masses will lie at x = 2.52 cm

So center of mass is same as center of gravity because value of gravity is constant here

Explanation:

Position of centre of mass is given as

here we have

now we have

so center of mass of the two masses will lie at x = 2.52 cm

now for center of gravity we can use

here we have

now we have

So center of mass is same as center of gravity because value of gravity is constant here

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