To solve this problem it is necessary to apply the concepts related to the kinetic energy expressed in terms of simple harmonic movement, as well as the concepts related to angular velocity and acceleration and linear acceleration and velocity.
By definition we know that the angular velocity of a body can be described as a function of mass and spring constant as

Where,
k = Spring constant
m = mass
From the given values the angular velocity would be


The kinetic energy on its part is expressed as

Where,
A = Amplitude
= Angular Velocity

PART A) Replacing previously given values the energy in the system would be



PART B) Through the amplitude and angular velocity it is possible to know the linear velocity by means of the relation



PART C) Finally, the relationship between linear acceleration and angular velocity is subject to



Answer:
Force = mass × acceleration
Acceleration:

From first Newton's equation of motion:

Change = v - u:

The formula of the kinetic energy is KE = 0.5*m*v^2.
Given m = 80 kg and KE = 4000 J,
4000 = 0.5*80*v^2
v^2 = 100
v = 10 m/s
Answer:
Work is best defined as a force exerted on a body to cause it move over a certain distance.
work=force×displacement×cosθ
Explanation:
Answer:
The total number of charge pair without double counting is 6.
Explanation:
Given that,
Number of proton = 2
Number of electron = 2
We need to calculate the total number of charges in Hydrogen atom
Using formula for number of charges



Number of charge in pair is

We need to calculate the total number of possible combination of pairs without double counting
Using formula of combination

Where, n = number of charges
r = number of charges per pair
Put the value into the formula




Hence, The total number of charge pair without double counting is 6.