Given below are two statements:Statement I: A | vedclass

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(A) According to the Work-Energy Theorem, the work done by the retarding force is equal to the change in kinetic energy.$W = \Delta KE$Since the final

Vedclass · Accepted Answer

Statement $I$ is correct but Statement $II$ is incorrect.

Vedclass · Answer

(A) According to the Work-Energy Theorem, the work done by the retarding force is equal to the change in kinetic energy.$W = \Delta KE$Since the final kinetic energy is $0$ and the initial kinetic energy is $K$, the work done is $W = -F \cdot S = 0 - K$, where $F$ is the retarding force and $S$ is the stopping distance.Thus, $S = \frac{K}{F}$.Since both the truck and the car have the same initial kinetic energy $K$ and are subjected to the same retarding force $F$, they will come to rest in the same distance $S$. Therefore, Statement $I$ is correct.For Statement $II$, although the speed (magnitude of velocity) remains unchanged, the direction of the velocity changes as the car turns from east to north.Acceleration is defined as the rate of change of velocity $(\vec{a} = \frac{d\vec{v}}{dt})$. Since the direction of velocity changes, the velocity vector changes, which means there must be a non-zero acceleration.Therefore, Statement $II$ is incorrect.

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