Correct Answer - Option 1 : Twice of initial
Concept:
Kinetic energy (KE): The energy possessed by a body due to the virtue of its motion is termed as kinetic energy. It is given by
\(KE = \frac{1}{2}m{v^2}\)
Where, m = Mass of the body, v = Velocity of the body
Calculation:
Given:
m2 = m1 / 2, v2 = 2v1
The initial kinetic energy of the body, \(KE_1 = \frac{1}{2}m_1{v_1^2}\)
Final kinetic energy of the body, \(KE_2 = \frac{1}{2}m_2{v_2^2}\)
\(KE_2 = \frac{1}{2}\frac {m_1}{2}{(2v_1)^2}\)
\(KE_2 = 2\times \frac{1}{2} {m_1}{v_1^2}\)
∴ K.E2 = 2 K.E1
