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A uniform rod is 2.0 m long and has a mass of 1.80 kg. What is the center of mass of the rod?

(a) 0.5 m
(b) 1.0 m
(c) 1.5 m
(d) 2.0 m

User N Chauhan
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1 Answer

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Final answer:

The center of mass of a uniform 2.0-meter-long rod is at its midpoint, which is 1.0 meter from either end.

Step-by-step explanation:

The center of mass of a uniform object, like the rod in this problem, is located at the geometric center of the object. Since the rod is uniform, its mass is evenly distributed along its length. To find the center of mass of a uniform rod, you don't need to know the exact mass of the rod, only that its mass distribution is constant along its length.

The rod is 2.0 meters long, so the center of mass will be exactly in the middle. This is the point where the rod balances perfectly if supported. Thus, the center of mass of the rod would be 1.0 meter from either end, which is the midpoint of the rod.

Therefore, the correct answer is (b) 1.0 m.

User Icaptan
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