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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

`17 kg`

B

`3 kg`

C

`5 kg `

D

`7 kg`

Text Solution

Verified by Experts

The correct Answer is:
C
As no external force in involved in explosion, applying the principle of conservation of linear momentum, Fig.

`m(4) = sqrt((1 xx 12)^(2) + (2 xx 8)^(2)) = 20`
`m = (20)/(4) = 5kg`
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