Question

In: Physics

A mass of 0.5 kg sits on a horizontal frictionless patch of ice. It is connected...

A mass of 0.5 kg sits on a horizontal frictionless patch of ice. It is connected to a spring with a with a spring constant of k=5 N/m. The spring is initially relaxed. It is then pulled to the right and stretched by 0.1 meters. It is released afterwards to return to its equilibrium position at x=0 meters. "x" is the amount of displacement. Please use conservation of energy to find the velocity of the mass at 0.08 meters.

Expert Solution

Given:

Mass,

Spring constant of the spring,

Maximum displacement of spring,

===============

Find the velocity of the mass at 0.08 meters.

Consider the spring

When the spring is fully stretched, potential energy is stored in the spring. As spring is released potential energy of the spring is converted to kinetic energy of the mass.

When the displacement of the mass is 0.08m, only some portion of initial elastic potential energy of the spring is converted to kinetic energy of the mass.

Initial potential energy of the spring = Potential energy of the spring + Kinetic energy of the mass

ANSWER:

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genius_generous answered 2 years ago

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