for what values of the position does the kinetic energy equal one-half the potential energy? (use any variable or symbol stated above as necessary.)

Respuesta :

A body is free falling from height h now at the middle that is at h/2 the body's K.E. = P.E

What is kinetic energy?

An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we want to accelerate an object. We have to put in work to apply force. After the work is finished, the object will be moving at a new, constant speed because energy has been transferred to it.

There are only two cases in this phenomenon to occur:-

Case 1 - Something is tossed upward

When is the change in kinetic energy equal to the change in potential energy for an object thrown upward at some beginning velocity v0? The total amount of kinetic and potential energy is constant due to energy conservation. We want to know when the kinetic energy has decreased by half because we define our potential energy as zero at the launch point.

Case 2 - Simple harmonic oscillator

A restoring force proportionate to the displacement of the mass from equilibrium distinguishes a simple harmonic oscillator (such as a mass on a spring) from other oscillators:

F=− kx

This equation's solution yields the position as x=Acos(ωt+Ф), where A denotes the oscillation's amplitude, frequency, and phase. The frequency is expressed as Ф= [tex]\sqrt{k/m}[/tex]. The derivatives of the location can be used to calculate the oscillator's velocity and acceleration, which are both sinusoidal functions.

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