Answer:
The maximum speed will be 26.475 m/sec
Explanation:
We have given mass of the toy m = 0.50 kg
radius of the light string r = 1 m
Tension on the string T = 350 N
We have to find the maximum speed without breaking the string
For without breaking the string tension must be equal to the centripetal force
So
So
v = 26.475 m /sec
So the maximum speed will be 26.475 m/sec
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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