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A chandelier hangs h = 0.62 m down from two chains of equal length. What is the mass of the chandelier?

A) 6 kg
B) 8 kg
C) 12 kg
D) 16 kg

User Appster
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1 Answer

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Final answer:

The mass of the chandelier can be found using Newton's second law of motion. In this case, each chain supports half the weight of the chandelier. Plugging in the given values, we find the mass of the chandelier is approximately 0.124 kg.

Step-by-step explanation:

The mass of the chandelier can be found using Newton's second law of motion, which states that the force acting on an object is equal to the object's mass multiplied by its acceleration. In this case, the force acting on the chandelier is its weight, which is equal to the mass of the chandelier multiplied by the acceleration due to gravity.

Since the chandelier hangs down from two chains of equal length, its weight is evenly distributed between the two chains. Therefore, each chain supports half the weight of the chandelier.

Using the equation F = m * g, where F is the force (weight) acting on the chandelier, m is the mass of the chandelier, and g is the acceleration due to gravity, we can solve for m.

Rearranging the equation, we get m = F / g. Plugging in the given values, we have m = (2 * h) / g, where h is the height of the chandelier and g is approximately 9.8 m/s^2. Substituting the given value of h = 0.62 m, we find m = (2 * 0.62) / 9.8 = 0.124 kg.

Therefore, the mass of the chandelier is approximately 0.124 kg, which is equivalent to 124 g. None of the answer choices provided match this value, so none of the given options are correct.

User Ilaunchpad
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