The kinetic energy of a body becomes $4$ times of its initial value. The new linear momentum will be

Same as initial momentum

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Four times the initial momentum

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Two times the initial momentum

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Eight times the initial momentum

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Solution

The correct option is C Two times the initial momentum
$K E = \frac{P^{2}}{2 m}$
$m a s s = c o n s t a n t$
$P_{i}^{2} = 2 K E m$
$P_{f} = \sqrt{2 \times 4 K E m}$
$P_{f} = \sqrt{2 K E m}$
$P_{f} = 2 P_{i}$
Final momentum will be two times the initial momentum.

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A car is accelerated on a levelled road and attains a speed of 4 times its initial speed. In this process, the kinetic energy of the car :

(a) does not change

(b) becomes 4 times that of initial kinetic energy

(d) becomes 16 times that of initial kinetic energy

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