find the kinetic energy K of the block at the moment labeled Bexpress answer in terms of k and A As you know, a common example of a harmonic oscillator is a mass attached to a spring. In this problem, we will consider a horizontally movingblock attached to a spring. Note that, since the gravitational potential energy is not changing in this case, it can be excluded from thecalculations.For such a system, the potential energy is stored in the spring and is given byU = 1½kx²,where k is the force constant of the spring and ï is the distance from the equilibrium position.The kinetic energy of the system is, as always,K = 1/1/2mv²,where m is the mass of the block and v is the speed of the block.We will also assume that there are no resistive forces; that is, E = constant.Consider a harmonic oscillator at four different moments, labeled A, B, C, and D, as shown in the figure (Figure 1). Assume that the forceconstant k, the mass of the block, m, and the amplitude of vibrations, A, are given. Answer the following questions. Learning Goal:To learn to apply the law of conservation of energy to theanalysis of harmonic oscillators.Systems in simple harmonic motion, or harmonicoscillators, obey the law of conservation of energy justlike all other systems do. Using energy considerations,one can analyze many aspects of motion of theoscillator. Such an analysis can be simplified if oneassumes that mechanical energy is not dissipated. Inother words,E = K +U= constant,where E is the total mechanical energy of the system,K is the kinetic energy, and U is the potential energy.Figure+CB www/m-A-Ak| DAV√2kkmmmmmmmmwww0m< 1 of 1www.mA/2 Awww.www. m>

Name: find the kinetic energy K of the block at the moment labeled Bexpress
Uploaded: 2024-03-20T06:58:04.000Z
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Description: find the kinetic energy K of the block at the moment labeled Bexpress answer in terms of k and A As you know, a common example of a harmonic oscillator is a mass attached to a spring. In this problem, we will consider a horizontally movingblock attac