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An explosion blows a rock into three par...

An explosion blows a rock into three parts. Two parts go off at right angles to each other . These two are `1 kg` first part moving with a velocity of `12 ms^(-1) and 2 kg` second part moving with a velocity of `8 ms^(-1)`. If the third part flies off with a velocity of `4 ms^(-1)`. Its mass would be

A

5 kg

B

3 kg

C

7 kg

D

17 kg

Text Solution

Verified by Experts

The correct Answer is:
A
If a bod is dropped from a height `h_1` and after striking the ground it rises upto a heigth `h_2`, then the coefficient of restitution is given by
`e=sqrt((h_(2))/(h_(1))) therefore e^(2) =(h_(2))/(h_(2))/(h_(1))`
`therefore h_(1) =(h_(2))/(e^(2)) =(1.08)/(0.6xx0.6)=(1.08)/(0.36)`= 3m
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