An Ideal Massless Spring with a Spring Constant of 2

question 28

Multiple Choice

An ideal massless spring with a spring constant of 2.00 N/m is attached to an object of 75.0 g. The system has a small amount of damping. If the amplitude of the oscillations decreases from 10.0 mm to 5.00 mm in 15.0 s, what is the magnitude of the damping constant b?

• A) 0.00693 kg/s
• B) 0.0462 kg/s
• C) 0.00762 kg/s
• D) 0.0100 kg/s
• E) 0.00857 kg/s

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Definitions:

\(d = \frac { 3 } { 7 }\)

Represents a specific value of the variable d, which is equal to the fraction three-sevenths.

\(d = 4\)

An equation representing that the value of the variable \(d\) is equal to 4.

\(a _ { 1 }\)

Often represents the first term in a sequence or series in mathematics, particularly in formulas involving arithmetic or geometric sequences.

\(a _ { k + 1 }\)

An element in a sequence, described as the next term (k+1) following the kth term.