Question

In the oscillating spring ball system, what is true about the energy of the ball when it is located at its amplitude? Select the correct answer A. The kinetic energy is at its maximum value and the potential energy is zero. B. The potential energy is at its maximum value and the kinetic energy is zero. C. The total energy is zero. D. Both the kinetic and potential energy are at their maximum our swer values

Answer 1

When the maximum amplitude is reached, the body is also positioned in the maximum position which it can reach. At that point, the maximum potential energy stored in the system will therefore be taken.

$PE = \frac{1}{2} kh_{max} ^2$

However, when it reaches the maximum amplitude it is also in a change of direction of the velocity vector, reaching its minimum point in magnitude, thereby generating the kinetic energy to become zero.

$KE = \frac{1}{2} mv^2$

Therefore of the options shown, the correct answer would be B.