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4-1.Newton's Laws of Motion
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A shell at rest at the origin explodes into three fragments of masses $1\ kg$ , $2\ kg$ and $m\ kg$ . The $1\ kg$ and $2\ kg$ pieces fly off with speeds of $5\ ms^{-1}$ along $x-axis$ and $6\ ms^{-1}$ along $y-axis$ respectively. If the $m\, kg$ piece flies off with a speed of $6.5\ ms^{-1}$ , the total mass of the shell must be ......... $kg$
A
$4$
B
$5$
C
$3.5$
D
$4.5$
Solution
$m \times 6.5=1\times 5\hat i +2\times 6\,\hat j$
$5\hat i\,+\,12\,\hat j$
$m=\frac{13}{6 \cdot 5}=2 k g$
$M=m+1+2=5 k g$
Standard 11
Physics
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