The position of the object can be used to find the kinetic energy in terms of k and a.
The term kinetic energy refers to the energy of an object that is in motion. The question is incomplete hence the syetem is not shown and the value of the kinetic energy can not be found in terms of k and a.
Hence, when the system is shown, we can look at the position of the system and use it to obtain the value of the kinetic energy in terms of k and a.
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Answer:
K = 3/8k(A)^2
Explanation: Potential Energy --> Conservation of Energy
Because block B is at A/2, U = 1/2k(A/2)^2 which equals U = 1/8k(A)^2.
Now that you have the equation for potential energy, you can find kinetic energy in terms of the spring constant (k) and amplitude (A).
K = 3/8 k A^2
