Question

Derive kinetic energy of a
energy of a moving
body given by one half the product
of
mass
and the square at its
velocity (method I and method 2)​

Answer 1

Answer:

Derive kinetic energy of a

energy of a moving

body given by one half the product

of

mass

and the square at its

velocity (method I and method 2)

Answer 2

Explanation:

Energy possessed by a body when the body is in motion horizontally is known as Kinetic energy

Proof:

Consider a body with mass m moving with initial velocity u = 0, acceleration a and final velocity v to the distance s

We know

f = ma

a = f / m ------------(1)

From kinematic equation

v^2 = u^2 + 2as

v^2 = 0 + 2as ( as body is moving with

initial velocity u = 0)

from eq.(1)

v^2 = 2 × (f/m)s

f × s = 1/2mv^2

Work = 1/2 mv^2

But work is a measure of kinetic energy

Thus

Kinetic energy = 1/2 mv^2

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