In a series RCL circuit the generator is set to a frequency that is not the resonant frequency. This nonresonant frequency is su
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Answer:
Force = 21.85N
Explanation:
Given the following data;
Mass = 2.3kg
Acceleration = 9.5m/s²
To find the force;
Force is given by the multiplication of mass and acceleration.
Mathematically, Force is;
Where;
F represents force.
m represents the mass of an object.
a represents acceleration.
Substituting into the equation, we have
Force = 2.3 * 9.5
Force = 21.85N
Therefore, the force applied to the rat is 21.85 Newton.
A)
The total energy of the system is equal to the maximum elastic potential energy, that is achieved when the displacement is equal to the amplitude (x=A):
(1)
where k is the spring constant.
The total energy, which is conserved, at any other point of the motion is the sum of elastic potential energy and kinetic energy:
(2)
where x is the displacement, m the mass, and v the speed.
We want to know the displacement x at which the elastic potential energy is 1/3 of the kinetic energy:
Using (2) we can rewrite this as
And using (1), we find
Substituting into the last equation, we find the value of x:
B)
In this case, the kinetic energy is 1/10 of the total energy:
Since we have
we can write
And so we find: