A learner proposes the relation for the force acting on a body of mass that is moving…

PHYSICS · Multi-part · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

A learner proposes the relation

F = \dfrac{mv}{t}

for the force

F

acting on a body of mass

m

that is moving with speed

v

for a time interval

t

. (i) Examine whether the above relation is dimensionally consistent with respect to the base dimensions

M

L

and

T

. (ii) If it is not correct, modify the relation by adjusting the power of either

v

t

(but not both) so that the new relation becomes dimensionally valid.