Kinetic Energy (By pak physics notes)

Kinetic Energy
                              '' The Energy of a body Due to its motion is known as Kinetic Energy''.
FORMULA
                                                 K.E. = 1/2 mv²
Kinetic energy depends upon the mass and velocity of body.If velocity is zero than K.E. of body will also be zero.Kinetic Energy is a scaler quantitiy.
Proof
Consider a body of mass "m" starts moving from rest. After a time interval "t" its velocity becomes V.

If initial velocity of the body is Vi = 0 ,final velocity Vf = V and the displacement of body is "d". Then

First of all we will find the acceleration of body.

Using equation of motion

2aS = Vf2 – Vi2  Putting the above mentioned values  2ad = V2 – 0 a = V2/2d

Now force is given by F = ma  Putting the value of accleration F = m(V2/2d)  As we know that  Work done = Fd

Putting the value of F Work done = (mv2/2d)(d) Work done = mV2/2 OR  Work done = ½ mV2

Since the work done is motion is called "Kinetic Energy" i.e.  K.E. = Work done  OR  K.E. =1/2mV2.

                               
                              (www.pak-physicsnotes.blogspot.com)

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