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PrudensOptimus
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What is the total mechanical energy of a mass of 2 kg oscillating on a spring given that the maximum velocity of the mass is 5 m/s and the spring constant is 50 N/m?
The formula for calculating the total mechanical energy of an object is E = 1/2kA^2, where E is the total mechanical energy, k is the spring constant, and A is the amplitude of oscillation. In this case, the amplitude is equal to the maximum displacement of the object from its equilibrium position.
The mass of the object does not affect the total mechanical energy in this scenario. The total mechanical energy only depends on the spring constant and the amplitude of oscillation.
If the spring constant is increased to 100 N/m, the total mechanical energy will also increase. This is because the spring constant is directly proportional to the total mechanical energy, meaning that as one increases, the other will also increase.
The total mechanical energy is constant during the oscillation of the object because it is a closed system with no external forces acting on it. This means that the energy is conserved and will remain constant throughout the oscillation.
The amplitude of oscillation has a direct effect on the total mechanical energy. As the amplitude increases, the total mechanical energy will also increase. This is because the amplitude is squared in the formula for calculating mechanical energy, thus having a larger impact on the overall value.