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 [2023]

Question

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 [2023]

Smart Achievers · Accepted Answer

(1)

Given, $\vec{u} = - u \hat{j}$

$\vec{v} = u \hat{i}$

Acceleration, $\vec{a} = \frac{\vec{v} - \vec{u}}{t}$

$\vec{a} = \frac{u \hat{i} + u \hat{j}}{t}$

Direction of acceleration $= \tan θ = \frac{v}{u} = 1$

$θ = 45 °$ along north-east, force is also acting towards north-east.

Solution

Q.
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 [2023]

1 along north-east

2 along south-west

3 along eastward

4 along northward

Ans.
(1)

Given, $\vec{u} = - u \hat{j}$

$\vec{v} = u \hat{i}$

Acceleration, $\vec{a} = \frac{\vec{v} - \vec{u}}{t}$

$\vec{a} = \frac{u \hat{i} + u \hat{j}}{t}$

Direction of acceleration $= \tan θ = \frac{v}{u} = 1$

$θ = 45 °$ along north-east, force is also acting towards north-east.

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