Question

Check the correctness of the relation v²_u²=2as which the symbolls have their usual meaning

Answer 1

Answer:

Explanation:

ACCORDING TO NEWTONS LAWS OF MOTION,

V²-U²=2AS

WHERE,

            V= FINAL VELOCITY

            U=INITIAL VELOCITY

            A= ACCELERATION OF THE BODY

            S= DISTANCE TRAVELLED

CHECKING THE DIMENSIONAL CORRECTNESS OF THIS EQUATION

LHS=V²-U²

[ ONLY QUANTITIES HAVING SAME DIMENSIONAL FORMULAS CAN BE SUBSTRACTED OR ADDED]

LHS=VELOCITY²=[LT^-1]²

                            =[L²T^-2]........................(1)

RHS,

ACCELERATION=[LT^-2]

DISTANCE=[L]

2 = A CONSTANT HENCE DIMENSIONLESS

RHS=2AS

      =[LT^-2]*[L]

      =[L²T^-2]..............................(2)

FROM (1) AND (2)

LHS = RHS

THEREFORE,

V²-U²=2AS.

HENCE PROVED.

HOPE THIS HELPS.