Question

A child is swinging back and forth on a swing. Changes in her kinetic and potential energy are happening each moment. At which point, or multiple points, in her swinging would each of these two types of energy be at a maximum? In one to two sentences, describe these points and which type of energy is at a maximum at each point.(2 points)
plzz help

Answer 1

Answer:

There are two extreme points during the motion of child, where, the potential energy will be maximum due to maximum height.

there is one point, which is the mean position, where, the kinetic energy will be maximum due to maximum velocity.

Explanation:

FOR POTENTIAL ENERGY:

Since, the potential energy of the child depends upon the height of the child as follows:

P.E = mgh

where,

P.E = Potential Energy of Child

m = mass of child

g = acceleration due to gravity

h = height of child

So, there are two extreme points during the motion of child, where, the potential energy will be maximum due to maximum height.

FOR KINETIC ENERGY:

Since, the kinetic energy of the child depends upon the speed of the child as follows:

K.E = (1/2)mv²

where,

K.E = Kinetic Energy of Child

m = mass of child

v = velocity

So, there is one point, which is the mean position, where, the kinetic energy will be maximum due to maximum velocity.