Vanessa made a list comparing the differences between the outer coverings in plants and animals, but she made a mistake. Read th
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To solve this problem it is necessary to apply the conservation equations of the moment for an inelastic impact or collision. In turn, it is necessary to apply the equations related to the conservation of potential energy and kinetic energy.
Mathematically this definition can be expressed as
Where,
Initial velocity of each object
Mass of each object
Final velocity
Our values are given as
Replacing we can find the value of the final velocity, that is
From the definition of the equations of simple harmonic motion the potential energy of compression and equilibrium must be subject to
Since there is no kinetic energy due to the zero speed in compression, nor potential energy at the time of equilibrium at the end, we will have to
Re-arrange to find A
Finally, the period can be calculated through the relationship between the spring constant and the total mass, that is,