2 A fundamental law of motion states that the acceleration o

2. A fundamental law of motion states that the acceleration of an object is directly proportional to the resultant force exerted on the object and inversely proportional to the mass. If the proportionality constant has no dimensions, determine the dimensions of forces.

Solution

a = K1F ( where K1 is constant )

a = K2/m ( where K2 is constant)

=> a = K3*F/m ( K3 is another constant)

as K3 is dimentionless => a have dimention of F/m =

=> dimention of force = ma = mass*length)/(time)^2 = ( Kg.m/s^2