Block with m = 300 grams oscillates at the end of a linear spring with k = 6.5 n/m. (assume this is a top-down view and the block is sliding on a frinctionless surface; neglect gravity)
a) what is the period of the block's motion in seconds
b) if the blovk's max acceleration is 2 m/s^2, what is the amplitude of the motion (m)

Explanation:

Given that,

Mass of the block, m = 300 g = 0.3 kg

Linear spring constant, k = 6.5 N/m

(a) Let T is the period of the block's motion. It is given by :

where

= angular frequency

Also,

T = 1.34 seconds

(b) The maximum acceleration of the block is,

The maximum acceleration is given by :

A is the amplitude of the motion,

A = 0.09 meters

Hence, this is the required solution.

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explanation: