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Physics Question 4 – NEET-UG 2023

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A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is :

The net force acting on an object is directly proportional to the rate of change of its momentum.

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Ninja Strategy•Vector Analysis of Force

Recognize that force is in the direction of the change in velocity. Visualize the initial velocity (south) and final velocity (east) vectors. The vector from the tip of the initial velocity to the tip of the final velocity represents the change in velocity, which points north-east.

Step 1: Identify Initial and Final Velocities✦ Active

The player initially moves southward. Let the initial velocity be v→i=−vj^ (assuming positive y is North). The player then turns eastward with the same speed. Let the final velocity be v→f=vi^ (assuming positive x is East).

Step 2: Calculate the Change in Velocity○ Expand

The change in velocity is given by the vector difference: Δv→=v→f−v→i.

Δv→=vi^−(−vj^)=vi^+vj^
💡 Teacher's Secret Hint

Remember that vector subtraction involves adding the negative of the second vector.

Step 3: Determine the Direction of Force○ Expand

According to Newton's second law, the direction of the net force is the same as the direction of the change in velocity. The vector vi^+vj^ has a positive component in the x-direction (east) and a positive component in the y-direction (north). Therefore, the direction of the force is along north-east.

💡 Teacher's Secret Hint

Visualize the vectors: initial velocity points down, final velocity points right. The vector from the tip of the initial to the tip of the final points diagonally up-right.

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