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Question: A boy throws a cricket ball from the boundary to the wicket keeper. If the frictional force due to a...

A boy throws a cricket ball from the boundary to the wicket keeper. If the frictional force due to air (faf_a) cannot be ignored, the forces acting on the ball at the position X are represented by

A

Option A

B

Option B

C

Option C

D

Option D

Answer

Option B

Explanation

Solution

At position X, the forces acting on the cricket ball are:

  1. Gravitational Force (W\vec{W}): This force acts vertically downwards.
  2. Air Frictional Force (fa\vec{f}_a): This force opposes the instantaneous velocity (v\vec{v}) of the ball.

The diagram shows the trajectory of the ball and indicates the velocity vector at position X pointing upwards and to the right. Therefore, the air frictional force must act in the direction opposite to this velocity, i.e., downwards and to the left. A correct representation of the forces will show a vector pointing vertically downwards (for gravity) and a vector pointing from X in the direction opposite to the velocity vector (for air friction).