Question

A block at rest explodes into three equal parts. Two parts start moving along X and Y axes respectively with equal speeds of 10 m/s. Find the initial velocity of the third part.

Answer 1

As the block is exploded only due to its interN/Al energy. So net exterN/Al fore during hti process is 0.
So the centre of mas will not change Let the body while exploded was at the origin of the co ordiN/Aste system.
If the two bodies of equal mass is mvoing at a speed of 10 m/s in +x and +y axis direction respectively then their resultant will move with the velocity
`sqrt(10^0+10^0+2.10.10cos90^0)`
`=10sqrt(2)m/s45^0` w.r.t + x-axis` If the centre of ms is at rest then the thrid mass which have equal mass then two will move in the opposite diection (i.e. 135-w.r.t+x-axis) o the resultant at the same velocity `10sqrt2 m/s`