# What is the relation of average PE and KE in SHM?

## What is the relation of average PE and KE in SHM?

Showthat for a particle in linear SHM the average kinetic energy over aperiod of oscillation equals the average potential energy over thesame period.

## At what displacement is the KE and PE are equal in SHM?

In a SHM kinetic and potential energies becomes equal when the displacement is 1/√(2) times the amplitude.

What is the relationship of PE and Ke?

The primary relationship between the two is their ability to transform into each other. In other words, potential energy transforms into kinetic energy, and kinetic energy converts into potential energy, and then back again.

What is PE and KE energy?

Summary. Energy is the ability to do work. Potential Energy (PE) is stored energy due to position or state. PE due to gravity = m g h. Kinetic Energy (KE) is energy of motion.

### Why is average potential energy and kinetic energy equal in SHM?

Show that for a particle in linear SHM the average kinetic energy over a period of oscillation equals the average potential energy over the same period. From equations (i) and (ii) we can say that the average kinetic energy for a given time period is equal to the average potential energy for the same time period.

### What is the average kinetic energy of SHM?

The formula for kinetic energy is written as: 12mv2=12m(aωsinωt)2.

At what displacement a particle in SHM possesses half Ke and half PE?

Answer: At what displacement from the mean position its energy is half kinetic and half potential. when Kinetic energy is maximum potential energy is zero. when kinetic energy is half of its maximum, potential energy will become other half and both are equal.

At what time PE will be equal to half of total energy?

Solution. The time in which the potential energy will be half of total energy is 1.25 s.

## Are PE and KE inversely proportional?

Answer. Answer: As the height increases, there is an increase in the gravitational potential energy and a decrease in the kinetic energy . The kinetic energy is inversely proportional to the potential energy.

## How do you convert KE to PE?

PE = KE v = 4.6 m /sec the height is always the vertical distance (not necessarily the total distance the body may travel) between the starting point and the lowest point of fall. Nearly all mechanical processes consist of interchanges of energy among its kinetic and potential forms and work.

What is PE physics?

potential energy, stored energy that depends upon the relative position of various parts of a system.

What is the formula for Ke?

In classical mechanics, kinetic energy (KE) is equal to half of an object’s mass (1/2*m) multiplied by the velocity squared. For example, if a an object with a mass of 10 kg (m = 10 kg) is moving at a velocity of 5 meters per second (v = 5 m/s), the kinetic energy is equal to 125 Joules, or (1/2 * 10 kg) * 5 m/s2.