By Team Aakash Byju's | 5th November 2022

The Kinetic Energy (K) Of an Object When Its Velocity is Doubled is

C

4 k

2

A

1

k

B

k

D

1

3

2 k

Detailed Explanation

The correct answers is C. 4K.

Arrow

Kinetic energy is the energy possessed by a body due to motion.

It is directly proportional to the mass of the object and to the square of velocity with which the body moves.

Thus, the mathematical expression for Kinetic Energy E is

E = 

1

mv

2

2

As per the given condition, when the velocity of the body is doubled then, v becomes 2v.

Substituting this we get,

K

New

=

1

2

m(2v)

2

Upon, solving this we get,

K

New

=

1

2

m(4v  )

2

K

New

=

4[     mv   ]

1

2

2

or

Thus, K         = 4K and hence  the answer.

New