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An object attached to a spring (k=125 N/m) will oscillate with a period of 0.889 s. What is the mass of the object?

A) 7.86 kg
B) 15.7 kg
C) 2.50 kg
D) 5.00 kg

1 Answer

3 votes

Final answer:

The mass of the object attached to the spring is 7.86 kg.

Step-by-step explanation:

To ascertain the mass of the object connected to the spring, an applicable formula is T = 2π√(m/k), where T represents the period, m denotes the mass, and k signifies the spring constant. Manipulating the formula to isolate m, the expression becomes m = (T/2π)^2 * k. Substituting the provided values yields m = (0.889/2π)^2 * 125, resulting in a computed mass of 7.86 kg. This method is commonly employed in physics to determine the mass of an object undergoing simple harmonic motion with a spring.

User Stephen Olsen
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