The maximum speed of a 3.00-kg object in simple harmonic motion is 4.00 m/s. the maximum acceleration of the object is 5.00 m/s2. what is the period of simple harmonic motion?

0.800 s
5.03 s
0.417 s
3.75 s
1.25 s

Time period = 5.03 s

Explanation:

Given:

Maximum speed of object in SHM is, m/s

Maximum acceleration of object in SHM is, m/s².

Mass of object is 3.00 kg.

We know that for an object in SHM, the velocity is given as:

Where,

Therefore, ------- 1

Also, for an object in SHM, the acceleration is given as:

Where, ---- 2

Now, dividing equation 2 by 1, we get

Now, time period is given as:

Therefore, the time period of simple harmonic motion is 5.03 s.

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.