Aspring with spring constant 15 n/m hangs from the ceiling. a ball is attached to the spring and allowed to come to rest. it is then pulled down 7.5 cm and released. the ball makes 31 oscillations in 15 s seconds.1) what is its the mass of the ball? express your answer using two significant figures. m = g2) what is its maximum speed? express your answer using two significant figures.= cm/s

Explanation:

It is given that,

Spring constant of the spring, k = 15 N/m

Amplitude of the oscillation, A = 7.5 cm = 0.075 m

Number of oscillations, N = 31

Time, t = 15 s

(a) Let m is the mass of the ball. The frequency of oscillation of the spring is given by :

Total number of oscillation per unit time is called frequency of oscillation. Here,

m = 0.0895 kg

or

m = 89 g

(b) The maximum speed of the ball that is given by :

Hence, this is the required solution.

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c) both a and b.