An explosion breaks a 2 7 0 kg object initially at rest into three parts Part ( 1 ) has a mass m 1 3 6 0 kg and a velocity of 5 0 0 m s due west Part ( 2 ) has a mass m 2 4 7 0 kg and a velocity of 6 8 0 m s due south What is the magnitude of the velocity of part ( 3 )

Question: An explosion breaks a 2 7 . 0 - kg object initially at rest into three parts. Part ( 1 ) has a mass m

An explosion breaks a $27.0 -$ kg object initially at rest into three parts. Part $(1)$ has a mass $m_{1} = 3.60 -$ kg and a velocity of $50.0 \frac{}{}$ m/s due west. Part $(2)$ has a mass m $_{2} = 4.70 -$ kg and a velocity of $68.0 \frac{}{}$ m/s due south. What is the magnitude of the velocity of part $(3) ?$

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