A bomb of mass 1 ,kg initially at rest, explodes and breaks into three fragments of masses in ratio

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4-1.Newton's Laws of Motion

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A bomb of mass $1 \,kg$ initially at rest, explodes and breaks into three fragments of masses in the ratio $1: 1: 3$. The two pieces of equal mass fly off perpendicular to each other with a speed $15 \,m / s$ each. The speed of heavier fragment is ........... $m / s$

A

$5$

B

$15$

C

$45$

D

$5 \sqrt{2}$

Solution

(d)

Momentum of the system will be conserved before explosion and after explosion

Using conservation of momentum equation

$\frac{3}{5} V=\frac{15}{5} \sqrt{2}$

$V=5 \sqrt{2} \,m / s$

Standard 11

Physics

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