Two balls of mass M and 2 M are thrown horizontally with the same initial velocity v 0 from top of a tall tower and experience a drag force of - k v k > 0 where v is the instantaneous velocity. Then,

Step-by-step solution

Only force resisting motion of particle in horizontal direction is drag force given by F = - k v But F = m · a x where, a x = acceleration in x -direction caused by drag force. ∴ m a x = - k v ⇒ a x = - k v m ∴ Acceleration of particle is x -direction is inversely proportional to mass. So, decreases in velocity in x -direction for lighter particle will be more. Hence, heavier mass will hit the ground further away from the lighter ball.