A 67kg astronaut floating in space simultaneously tosses away a 9.0kg oxygen tan

Question

A 67kg astronaut floating in space simultaneously tosses away a 9.0kg oxygen tank and a 6.4 kg camera. The tank moves in the x direction at 1.1 m/s , and the astronaut recoils at 0.66 m/s in a direction 200 degree counterclockwise from the axis. Find the x-component of the velocity of the camera. Express your answer using two significant figures. Find the y-component of the velocity of the camera. Express your answer using two significant figures.

Explanation / Answer

Initial velocity = 0 = U m1 = 67 Kg, m2 = 9 Kg, m3 = 6.4 Kg v2 = 1.1 i m/s v1 = -0.66*cos(radians(20))i-0.66*sin(radians(20))j = -0.620 i -0.226 j Initial momentum = Final momentum =>0 = 67*(-0.620 i -0.226 j) + 9*1.1 i + 6.4*v3 =>v3 = 4.946i+2.363j m/s So x-component is 4.946 m/s and y-component is 2.363 m/s

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