Correct Answer - Option 1 : 16 times
CONCEPT:
-
Kinetic energy: The energy due to the motion of any object is called kinetic energy.
- The Kinetic Energy of an object due to its speed is given by:
\(⇒ E =\frac{1}{2}mv^2\)
where m is the mass of a body and v is the speed.
CALCULATION:
Given that velocity of a body is increased by 4 times. So v' = 4v
- The initial kinetic energy of the body is
\(⇒ E =\frac{1}{2}mv^2\)
- The final kinetic energy of the body is
\(⇒ E' =\frac{1}{2}m(v')^2\)
\(⇒ E' =\frac{1}{2}m(4v)^2 =16\times [\frac{1}{2}mv^2]\) \([\because E =\frac{1}{2}mv^2]\)
⇒ E' = 16 E
- So the correct answer is option 1.
