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Question

A body 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 of 15 ms1 each. The speed of the heavier fragment is :

A
45 ms1
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B
15 ms1
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C
5 ms1
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D
52 ms1
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Solution

The correct option is D 52 ms1
Since 1Kg mass is divided in ratio 1:1:3 the masses are
m1=m2=15 and m3=35
Now, the two pieces of equal mass fly off perpendicular to other hence,
(m1v1)2+(m2v2)2=(m3v3)2
(35v3)2=(1515)2+(1515)2
(35v3)2=(3)2+(3)2
(35v3)2=18
35v3=18
v3=18×53
v3=32×53=52ms1

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