Question

Figure shows a body of mass m moving with a uniform speed v along a circle of radius r. The change in velocity in going from A to B is

Answer 1

Velocity at $A=V_A=V\hat{j}$

Velocity at $B=V_B=V(-\hat{i})$

$=-V\hat{i}$

Change in velocity $=V_R-V_A$

$=-V\hat{i}-V\hat{j}$

Magnitude$=\sqrt{(-V{)}^2+(-V{)}^2}$

$=\sqrt{2}$V.