Question

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

(a) Becomes twice to that of the initial

(b) Becomes four times to that of the initial

(c) Remains the same

(d) Becomes 16 times to that of the initial​

Answer 1

Answer:

(a) BECOMES TWICE TO THAT OF INITIAL.

Explanation:

The potential energy of the car remains the same and will not change as the road is leveled and the height of the body remains the same, although its speed increases.

HOPE IT'S HELPFUL

Answer 2

AnswEr :

[d] Becomes 16 times that of the initial velocity.

ExplanaTion :

In the above question, potential energy can't change,i.e., remains same , while kinetic energy can fluctuate !

Here,

• Initial velocity = u [Given]

Also, we know the formula for kinetic energy,

$\dag \: \: \: { \boxed{ \tt{k = \dfrac{1}{2} m {u}^{2}}}}$

• Final velocity = v = 4u [Given]

Thereby, New kinetic energy,

$\tt : \implies \: \: \: k' = \dfrac{1}{2} m( {4u)}^{2}$

$\tt : \implies \: \: \: k' = 16 {u}^{2}$

Hence, the value of new kinetic energy is 16 u².

Therefore, the kinetic energy of car becomes 16 times that of initial energy.

━━━━━━━━━━━━