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## A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves

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A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity (-47 m/s) and a second piece, also of mass m, moves with velocity (-47 m/s) . The third piece has mass 3m. Just after the explosion, what are the (a) magnitude and (b) direction (as an angle relative to the +x axis) of the velocity of the third piece?

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Physics
2 months
2021-07-24T04:54:44+00:00
2021-07-24T04:54:44+00:00 1 Answers
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## Answers ( )

Answer:a) 22.06m/s

b)45°

Explanation:Let ‘m’ be mass of 1st and 2nd pieces

mass of 3rd piece=3m

=velocity of 1st piece

= -47iˆ m/s

=velocity of 2nd piece

= -47jˆ m/s

=velocity of 3rd piece=?

By considering conservation of linear momentum, we have

m + m + 3m=0

+ + 3=0

3= – ( + )

= – ( + )

Substituting the values of and in above equation

= – (-47iˆ

-47jˆ

) => 15.6iˆ

+ 15.6jˆ

(a)Magnitude of the velocity of the third piece is given by

|| =√15.6²+15.6² => 22.06m/s

(b) its direction (as an angle relative to the +x axis) ‘θ’

θ= => =>45°