A marble moving with some velocity collides perfectly elastically head-on with another marble at rest having mass 1.5 times the mass of the colliding marble. The percentage of kinetic energy by the colliding marble after the collision is : |
60 4 25 44 |
60 |
Since the collision is head-on-collision, Therefore, M₁V₁ + M₂V₂ = (M₁ + M₂)V' MV + 0 = (M + 1.5M)V' MV = 2.5MV' V' = 0.4 m/s Initial kinetic energy = 1/2 mv² = 0.5 mv² Final kinetic energy = (1/2)(2.5)(0.4)² = 0.2 mv² Percentage of kinetic energy = Difference in kinetic energy/Initial kinetic energy = (0.5 - 0.2) mv² / 0.5 mv² ×100 = (0.3/0.5) × 100 = 0.6 × 100 = 60 J |