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A tank, at rest at the origin of an x-y coordinate system, explodes into three pieces....

A tank, at rest at the origin of an x-y coordinate system, explodes into three pieces. Just after the explosion, one piece, mass of m, moves with the speed v in the negative x- direction, and a second piece, with mass m/2, moves with a speed vd at an angle of 30 degrees (down or -yaxis) with respect to the +x axis. The third piece with mass m/2 moves with speed vu at an angle (up or +y axis) of 60 degrees with respect to the +x axis.

A) What is the speed vd of the second piece in terms of v?

B) What is the speed of vu of the third piece in terms of v?

C) In terms of m and v, what is the total kinetic energy supplied to the pieces due to the explosion?

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