Given below are two statements: Statement I : A truck and a car moving with same kinetic energy are brought to rest by applying breaks which provide equal retarding forces. Both come to rest in equal distance. Statement II : A car moving towards east takes a turn and moves towards north, the speed remains unchanged. The acceleration of the car is zero. In the light of given statements, choose the most appropriate answer from the options given below

Statement I is correct but Statement II is incorrect.

Statement I is incorrect but Statement II is correct.

Both Statement I and Statement II are correct.

Both Statement I and Statement II are incorrect.

Work Power and Energy PYQ — JEE Main 2023 · 12 Apr · Shift 1 · Q45 with Solution

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Correct answer: B

A truck and a car have the same kinetic energy and are stopped by equal retarding forces.

Using work-energy theorem:

$\text{Work done by braking force} = \Delta K$

If the initial kinetic energy is $K$ and final kinetic energy is $0$ , then

$F s = K$

where:

So,

$s = \frac{K}{F}$

Since both vehicles have the same $K$ and same $F$ , their stopping distances are equal.

So, Statement I is correct.

A car changes direction from east to north while maintaining the same speed.

Even if the speed remains constant, velocity changes because velocity depends on direction.

Acceleration is the rate of change of velocity:

$\vec a = \frac{d\vec v}{dt}$

Since the direction of velocity changes, acceleration is not zero.

So, Statement II is incorrect.

Therefore, the correct option is:

$\boxed{\text{B}}$

Stored correct answer: B

My derived answer: B

They agree.