Question

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A block at rest explodes into three equal parts . two parts starts moving along X axis and Y axis respectively with equal speed of 10m/s . find initial velocity or third part .

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Answer 1

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$\underline{as \: the \: block \: is \: explodes \: \: due \: to \: internal \: force \: so \: the \: external \: force \: is \: o \: }$

Due to no external force centre of mass doesn't change Let the block while exploded was at the origin of the co - ordinate system.

if the two bodies have equal mass is at speed of 10 m/s at speed of X axis + and 10 m/s at Y axis direction respectively since, $\sqrt{10 {}^{2} + 10 {}^{2} + 10 \times 10 \times cos90 }$10√2 m/s at 45° w.r.t + x - axis If the centre of mass is at rest then the third mass which have equal mass to other two , will move on opposite direction (i.e. 135° w.r.t + X axis ) of the resultant at the same velocity

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