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A 14.2 object, initislly at rest, exploes into 3 pieces ! After the ex Plos ion, Piece A (794) initially at rest, explodes into 3 pieces the explosion , Piece A (7,9ky) angle 69° North Of East, Piece B (7,9 Kg) is moving aiGs at an ang le 74° south of West. The third Aiece, Piece C, is not Shown after the explosion, is moving 7.8 °Ys at an Px before after kg Ms Kg M/s object Cinitial) Piece A ( fin a) Piece B (final) Piece C (fnal) what is the mass of Piece C? How fast J id Picce C move 4fter the explosion> what direction dið Piecec Move after the explosio?

A 14.2 object, initislly at rest, exploes into 3 pieces ! After the ex Plos ion, Piece A (794) initially at rest, explodes into 3 pieces the explosion , Piece A (7,9ky) angle 69° North Of East, Piece B (7,9 Kg) is moving aiGs at an ang le 74° south of West. The third Aiece, Piece C, is not Shown after the explosion, is moving 7.8 °Ys at an Px before after kg Ms Kg M/s object Cinitial) Piece A ( fin a) Piece B (final) Piece C (fnal) what is the mass of Piece C? How fast J id Picce C move 4fter the explosion> what direction dið Piecec Move after the explosio?

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A 14.2 object, initislly at rest, exploes into 3 pieces ! After the ex Plos ion, Piece A (794) initially at rest, explodes into 3 pieces the explosion , Piece A (7,9ky) angle 69° North Of East, Piece B (7,9 Kg) is moving aiGs at an ang le 74° south of West. The third Aiece, Piece C, is not Shown after the explosion, is moving 7.8 °Ys at an Px before after kg Ms Kg M/s object Cinitial) Piece A ( fin a) Piece B (final) Piece C (fnal) what is the mass of Piece C? How fast J id Picce C move 4fter the explosion> what direction dið Piecec Move after the explosio?
Transcribed Image Text:A 14.2 object, initislly at rest, exploes into 3 pieces ! After the ex Plos ion, Piece A (794) initially at rest, explodes into 3 pieces the explosion , Piece A (7,9ky) angle 69° North Of East, Piece B (7,9 Kg) is moving aiGs at an ang le 74° south of West. The third Aiece, Piece C, is not Shown after the explosion, is moving 7.8 °Ys at an Px before after kg Ms Kg M/s object Cinitial) Piece A ( fin a) Piece B (final) Piece C (fnal) what is the mass of Piece C? How fast J id Picce C move 4fter the explosion> what direction dið Piecec Move after the explosio?
Expert Solution
Step 1

Original mass of the object, m=19.2 Kg

initial velocity of the entire system, v=0

Mass of piece of object A, mA=7.9 kg

velocity of mass A after explosion, vA=7.8 m/s

Angle made by mass A, after explosion, θA=69° (north of east)

Mass of piece of object B, mB=7.9 Kg

velocity of mass B, vB=2.6 m/s

Angle made by mass B, after explosion, θB=74° (south of west)

Mass of piece of object C,

 mc=m-mA-mB (from the conservation of mass law)     =19.2-7.9-7.9     =3.4 kg

 

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