Question

An object is attached to a vertical spring and bobs up and down between points A and B. Where is the object located when its kinetic energy is a maximum?

a. At either A or B
b. Midway between A and B
c. One third between A and B
d. One-fourth of the way between A and B

Answer 1

Answer: Midway between A and B

Answer 2

a. Midway between A and B

What is Kinetic Energy?

The kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

A mass spring system will trace a sinusoidal curve as a function of time, similar to any object vibrating in simple harmonic motion.

a. In a two and fro motion, the velocity of the mass is greatest at the center, thus the kinetic energy is maximum at the equilibrium position.

b. At the equilibrium position, the total energy of the system is in the form kinetic energy and the potential energy is zero.

Therefore there no force exerted on the mass. Since there is no force and the velocity of the mass is maximum , acceleration of the mass is zero.

c. The total energy in the mass spring system is comprised of potential energy and kinetic energy. Since the energy is conserved in nature, the kinetic energy at the equilibrium position is maximum and therefore the potential energy should be zero at the equilibrium position.

Therefore,

Kinetic energy is maximum Midway between A and B.

Learn more about Kinetic energy here:

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