When you solve an equation the ___________ of ___________ must be treated like any other mathematical quantity— they must be mul
1 answer:
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The maximum kinetic energy, maximum potential energy and the maximum mechanical energy are equal to 7.56J.
<h3>What is simple harmonic motion?</h3>Simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side.
Simple Harmonic Motion
The given equation of the simple harmonic motion is
Data;
ω = π/2
k = 1.254N/m
Solving this
Let's calculate the maximum velocity.
This is only possible when cos θ = -1
The maximum kinetic energy is
Using the value of spring constant, we can find the maximum potential energy.
The maximum potential energy is 7.56J
The maximum mechanical energy is equal to the sum of maximum potential energy and the maximum kinetic energy.
ME = K.E + P.E
ME = 7.56J
From the calculations above, the maximum kinetic energy, maximum potential energy and the maximum mechanical energy are equal to 7.56J.
Learn more on simple harmonic motion here;
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Explanation:
Young' modulus is the ratio of normal stress to the longitudinal strain. Mathematically, it is given by :
Normal stress is given by force per unit area. Longitudinal strain is the change in length per unit original length.
The mathematical definition of Young's modulus is given by :
..........(1)
Where
is the change in length
F is the force
A is the area of cross section
So, the Young's modulus refers to the change in length of the object. Hence, the correct option is (b) "length".
As per FBD while its accelerating upwards
we can say that
here normal force is given as
now mass is given as
now we will have
Now while accelerating downwards we can say by FBD
again plug in all values
