energy associate with position or shape
        
             
        
        
        
Answer: Charles's law
Explanation:
Charles's law is one of the gas laws, and it explains the effect of temperature changes on the volume of a given mass of gas at a constant pressure. Usually, the volume of a gas decreases as the temperature decreases and increases as the temperature also increases.
Mathematically, Charles's law can be expressed as:
V ∝ T
V = kT or (V/T) = k
where v is volume, T is temperature in Kelvin, and a k is a constant.
 
        
             
        
        
        
Answer:

Explanation:
Given that,
The compression in the spring, x = 0.0647 m
Speed of the object, v = 2.08 m/s
To find,
Angular frequency of the object.
Solution,
We know that the elation between the amplitude and the angular frequency in SHM is given by :

A is the amplitude
In case of spring the compression in the spring is equal to its amplitude



So, the angular frequency of the spring is 32.14 rad/s.
 
        
             
        
        
        
Answer:
v(t)= (d/dt)x(t)
Explanation:
The instantaneous velocity of an object is the limit of the average velocity as the elapsed time approaches zero, or the derivative of x with respect to t. Like average velocity, instantaneous velocity is a vector with dimension of length per time. The instantaneous velocity at a specific time point  t
0  is the rate of change of the position function, which is the slope of the position function  
x
(
t
)
at  t
0
.