Why is the restoring force in Hooke's law a negative value?
2 answers:
Explanation:
Hooke's law :
According to the Hooke's law, The force is the directly proportional to the displacement of the string.
On the other hand,
In a simple harmonic motion, The restoring force is directly proportional to the displacement and acts in the opposite direction to that of displacement.
The restoring force is defined as,
Where,
F = restoring force
k = restoring constant
x = displacement
The negative sign shows the force opposes the string's displacement
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Taking into account the rule of three for the change of units, the mass of the book is 45600 miligrams.
First of all, the rule of three is a mathematical tool that helps you quickly solve proportionality problems.
Having three known values and one unknown, a proportional relationship is established between all of them in order to find the fourth term of the proportion.
If the relationship between the magnitudes is direct (when one magnitude increases, so does the other; or when one magnitude decreases, so does the other), the rule of three is applied as follows, where a, b and c are known values and x is the unknown to calculate:
a → b
c → x
So:
Being 1 kg equivalent to 1000000 milligrams, In this case the rule of three is applied as follows: if 1 kg equals 1000000 milligrams, 4.56×10⁻² kg equals how many milligrams?
1 kg → 1000000 milligrams
4.56×10⁻² kg → x
So:
<u><em>x=45600 miligrams</em></u>
In summary, the mass of the book is 45600 miligrams.
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