Asmall block is attached to an ideal spring and is moving in shm on a horizontal, frictionless surface. the amplitude of the motion is 0.160m . the maximum speed of the block is 3.95m/s . what is the maximum magnitude of the acceleration of the block?

97.5 m/s^2

Explanation:

The magnitude of the maximum speed in a SHM is given by

where

is the angular frequency of the motion

A is the amplitude

We can rewrite the equation as

(1)

The magnitude of the maximum acceleration is given instead by

And using (1), we can rewrite it as

In this problem, we have

A = 0.160 m (amplitude of the motion)

(maximum speed)

Therefore, using the above equation we find the magnitude of the maximum acceleration:

6/12=1/2

step-by-step explanation:

wind moving at higher speeds will transfer more energy to the water, resulting in stronger waves.