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A stationary bomb of 30 kg explodes in three pieces. Right after the explosion, the fragments are detected. Fragment 1 is ejected with 30%

A stationary bomb of ( 30 mathrm{~kg} ) explodes in three pieces. Right after the explosion, the fragments are detected. 

A stationary bomb of 30 kg explodes in three pieces. Right after the explosion, the fragments are detected. Fragment 1 is ejected with 30% of the original mass and a speed of 40 m/s with an angle of 50 degrees. Fragment 2 is ejected with 45% of the original mass and a speed of 50 m/s with an angle of 120 degrees. The third fragment can not be identified. The angles of fragments 1 and 2 are both measured from the horizontal, anticlockwise. Calculate the mass, the speed and the direction of the third fragment. bomb at rest fragment 2 Stras fragment 31 fragment 11

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