Question

obtain the expression for acceleration which depends upon velocity andradius using analysis​

Answer 1

Answer:

$Let F=k(m)x(v)y(r)z</p><p></p><p>Here, k is a dimensionless constant of proportionality. Writing the dimensions of RHS and LHS in Eq. (i), we have</p><p></p><p>[MLT2]=[M]x[LT−1]y[L]z=[MxLy+zT−y]</p><p></p><p>Equation the powers of M, L and T of both sides, we have,</p><p></p><p>x=1,y=2andy+z=1</p><p></p><p>or z=1−y=−1</p><p></p><p>Putting the values in Eq. (i), we get</p><p></p><p>F=kmv2r−1=krmv2</p><p></p><p>F=rmv2 (where k=1)</p><p></p><p>$