A blast breaks a body initially at rest of mass 0.5 kg into three pieces, two smaller pieces of equal mass and the third double the mass of either of small piece. After the blast the two smaller masses move at right angles to one another with equal speed. Find the statements that is/are true for this case assuming that the energy of blast is totally transferred to masses.

Engineering

Physics

Work Done by a Constant Force

Collision

Momentum and Energy Conservation for System of Particles

Question

A blast breaks a body initially at rest of mass 0.5 kg into three pieces, two smaller pieces of equal mass and the third double the mass of either of small piece. After the blast the two smaller masses move at right angles to one another with equal speed. Find the statements that is/are true for this case assuming that the energy of blast is totally transferred to masses.

All the three pieces share the energy of blast equally

The direction of motion of bigger mass makes an angle of 135° with the direction of smaller pieces

The bigger piece carries double the energy of either piece.

The speed of bigger mass is $\sqrt{2}$ times the speed of either of the smaller mass

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By consuming momentum in x and y directions net speed of 2m is $\frac{v}{\sqrt{2}}$

$KE of all are \frac{1}{2} {mv}^{2}, \frac{1}{2} {mv}^{2} and \frac{1}{2} 2 m {(\frac{v}{\sqrt{2}})}^{2} = \frac{1}{2} {mv}^{2}$

Hence all share same energy.

Hence angle between velocity vectors ⟹ 135°