b. Derive the formula for the kineticenergy of an object of mass m.mov

1.	b. Derive the formula for the kineticenergy of an object of mass m.moving with velocity v.
Answer» Kinetic energy is the energy possessed by an object by virtue of its motion. K.E=1/2 mV² Derivation: Let us consider an object of m which is at rest lying on a table. Let A force F acts on the object which moves the object through a distance S. The workdone=FxS W=FnetXS-------(1) Let the workdone on the object causes a change in its velocity from u to V and let a be the acceleration. From Third equation of motion: V²-u²=2as s=V²-u²/2a----------(2) By Newton's Second law: F=ma------(3) From equation (1), (2) and (3) W=ma*(V²-u²/2a)\=(1/2)m(V²-u²) As we assumed object at rest, u=0 W=(1/2)mV² we know that the kinetic energy of a body moving with certain velocity is equal to workdone on the object to acquire that velocity from rest. ∴K.E=1/2 mV² K. E= mass x velocity so much x v = mv

b. Derive the formula for the kineticenergy of an object of mass m.moving with velocity v.

Answer»

Kinetic energy is the energy possessed by an object by virtue of its motion.

K.E=1/2 mV²

Derivation:

Let us consider an object of m which is at rest lying on a table.

Let A force F acts on the object which moves the object through a distance S.

The workdone=FxS

W=FnetXS-------(1)

Let the workdone on the object causes a change in its velocity from u to V and let a be the acceleration.

From Third equation of motion:

V²-u²=2as

s=V²-u²/2a----------(2)

By Newton's Second law:

F=ma------(3)

From equation (1), (2) and (3)

W=ma*(V²-u²/2a)\=(1/2)m(V²-u²)

As we assumed object at rest, u=0

W=(1/2)mV²

we know that the kinetic energy of a body moving with certain velocity is equal to workdone on the object to acquire that velocity from rest.

∴K.E=1/2 mV²

K. E= mass x velocity so much x v = mv