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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:
A
along south-west
B
along eastward
C
along northward
D
along north-east
Explanation
Change in velocity points north-east, so the force is along north-east.
Detailed Solution
Initial velocity $=-v\hat{j}$, final velocity $=v\hat{i}$
Change in velocity $=v\hat{i}-(-v\hat{j})=v(\hat{i}+\hat{j})$
Momentum gain is along $\hat{i}+\hat{j}$ $\Rightarrow$ force experienced is along $\hat{i}+\hat{j}$
$\Rightarrow$ force experienced is in North-East direction.