The bowling ball travelling after the collision will be 9.125 m/sec.
According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
According to the law of conservation of momentum;
Momentum before collision =Momentum after collision
[tex]\rm m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\ 6\ kg \times 15 \ m/sec+1.5 \ kg \times 5 \ m/sec = (6+15)\times V\\\\\ V=\frac{ 90+7.5}{12}\\\\ V=9.125 \ m/sec[/tex]
Hence, the bowling ball travelling after the collision will be 9.125 m/sec.
To learn more about the law of conservation of momentum, refer;
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