A particle of mass m moving in the x direction with speed 2v is hit by another particle of mass 2m moving in the y direction with speed v. If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to:

Engineering

Physics

Center of Mass

Question

44%

56%

62%

50%

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(1) $2 mv \hat{i} + 2 mv \hat{j} = 3 m \vec{v}$

(2) $\vec{v} = \frac{2}{3} v \hat{i} + \frac{2}{3} v \hat{j}$

(3) $K_{i} = \frac{1}{2} m \times {(2 v)}^{2} + \frac{1}{2} 2 {mv}^{2} = 3 {mv}^{2}$

(4) $K_{i} = \frac{1}{2} \times 3 m \times \frac{8}{9} v^{2} = \frac{4}{3} {mv}^{2}$