Question

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
(c) becomes 8 times that of initial kinetic energy
(d) becomes 16 times that of initial kinetic energy

Answer 1

Answer:

(d)becomes 16 times that of initial kinetic energy.

Explanation:

kinetic energy of a body is directly proportional to the square of the velocity.so, the kinetic energy will become 16 times its initial value if the velocity is increased 4 times.

Answer 2

The kinetic energy becomes 16 time that of initial kinetic energy

(d) is correct option

Explanation:

Given that,

Final speed = 4 times of initial speed

The kinetic energy of car

$K.E = \dfrac{1}{2}mv^2$

Where, m = mass of car

v = initial velocity of car

As per question,

If  velocity of car is 4 times of initial velocity, then kinetic energy

$K.E'=\dfrac{1}{2}m(4v)^2$

$K.E'=16\times\dfrac{1}{2}mv^2$

$k.E'=16 K.E$

Hence, The kinetic energy becomes 16 time that of initial kinetic energy

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Topic : kinetic energy

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