Answer:
a.0.120mm
b.1.58s
c.0.6329Hz
Explanation:
a. Given that 0.120mm is displaced from equilibrium, 0.120mm after 0.790s on opposite side:
-The amplitude is the maximum displacement from equilibrium.
-The object goes from x=+A to x=-A and back during one cycle.
#Hence, the amplitude of the motion is 0.120mm
b.Motion from maximum positive displacement to maximum negative displacement takes places during half the period of Simple Harmonic Motion(SHM)

#Hence, the period of the motion is 1.58s
c. Frequency is calculated as one divided by the period of the motion.
From b above we know that the motions period is 1.58s
Therefore:
<em>Frequency=1/period=1/1.58=0.6329Hz</em>
<em>#</em><em>The frequency of the motion is </em><em>0.6329Hz</em>
I think it’s unbalanced, correct me if i’m wrong
Answer:
The distance the mass would stretch it is 
The correct option is A
Explanation:
From the question we are told that
The period of the slit is 
The acceleration due to gravity is 
Generally the period is mathematically represented as

Whee m is the particle and k is the spring constant
making
the subject
The weight on the particle is related to the force stretching the spring by this mathematical relation


where x is the length by which the spring is stretched

Substituting the equation above for 
![[\frac{T}{2 \pi} ]^2 = \frac{x}{g}](https://tex.z-dn.net/?f=%5B%5Cfrac%7BT%7D%7B2%20%5Cpi%7D%20%5D%5E2%20%3D%20%5Cfrac%7Bx%7D%7Bg%7D)
making x the subject
![x = g [\frac{T}{2 \pi} ]](https://tex.z-dn.net/?f=x%20%3D%20g%20%5B%5Cfrac%7BT%7D%7B2%20%5Cpi%7D%20%5D)
Substituting the value
![x = 9.8 * [\frac{0.2}{2 * 3.142} ]^2](https://tex.z-dn.net/?f=x%20%3D%209.8%20%2A%20%5B%5Cfrac%7B0.2%7D%7B2%20%2A%203.142%7D%20%5D%5E2)

Hot water boils faster since its already hot and dosnt take much more time to get as hot
Acceleration is the rate of change of velocity, and velocity is the change in displacement over the change in time so the answer would be A.