Once a favorite playground sport, dodgeball is becoming increasingly popular amo

Question

Once a favorite playground sport, dodgeball is becoming increasingly popular among adults of all ages who want to stay in shape and who even form organized leagues. Gutball is a less popular variant of dodgeball in which players are allowed to bring their own (typically nonregulation) equipment and in which cheap shots to the face are permitted. In a gutball tournament against people half his age, a physics professor threw his 0.4-kg soccer ball at a kid throwing a 0.6-kg basketball. The balls collided in midair (see the figure), and the basketball flew off with an energy of 90.4 J at an angle ? = 29.7

Explanation / Answer

initial speed of soccer ball=22.36 m/s
initial speed of basket ball=19.32 m/s
initial momentum=-2.648 i

final speed of bassketball(K=90.4)=17.3589 m/s
so along y direction,

17.3589*sin(29.7)*0.6=v*sin()*0.4...(1)

along x direction

17.3589*cos(29.7)*0.6-v*cos()*0.4=2.648

solving we get

=38.8688 degrees

v=20.55 m/s

K=84.516 joule

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