A body of mass 500 g moves along x -axis such that it's velocity varies with displacement x according to the relation v = 10 x m s - 1 the force acting on the body is:

Step-by-step solution

It is given that v = 10 x   m   s - 1 Force is defined by F = m d v d t       . . . ( i ) Multiplying and dividing equation (i) by d x F = m d v d t d x d x ⇒ F = m d x d t d v d x = m v d v d x       . . . ( i i ) Finding the values of the terms in equation (ii) d v d x = 10 2 x = 5 x v d v d x = a = 10 x × 5 x = 50   m   s - 2 Hence, the force is F = 1 2 × 50 = 25   N .