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A mass m attached to a spring of constant k is oscillating on a frictionless surface. A second mass of mass m is dropped on top of the first at the moment the spring is extended to the end (x = A). Which of the following is true?
A. The maximum velocity does not change.
B. The amplitude of the oscillation A decreases.
C. The frequency of oscillations f does not change.
D. The frequency of oscillations f increases.
E. The period of oscillation increases.

Respuesta :

MathPhys

Answer:

E. The period of oscillation increases.

Explanation:

The period of oscillation is:

T = 2π√(m/k)

Frequency is the inverse of period (f = 1/T), so as period increases, frequency decreases.

Increasing the mass will increase the period and decrease the frequency.

The statement that should be true is option  E. The period of oscillation increases.

What is a period of oscillation?

The period means the time taken from the particle for one oscillation that should be completed. It should be represented by the symbol T. The frequency of this should be provided by considering the reciprocal of the frequency.

We know that

Frequency should be the inverse of the period i.e. f = 1/T, so in the case when the period increases, the frequency decreases. And if there is Increasing in the mass so it also increases the period and decreases the frequency.

Learn more about mass here: https://brainly.com/question/3257618

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