Answer:
1.55 m/s
Explanation:
Following the law of conservation of linear momentum, momentum is conserved hence the sum of initial and final momentum are the same
p=mv where p is momentum, m is the mass of object and v is the velocity of the same object.
[tex]m_1v_1+m_2v_2= m_1V_3+ m_2V_4[/tex] where m and v represent mass and velocity respectively, subscripts 1 and 2 represent initial speed of 15 Kg block and 23 kg block respectively, subscripts 3 and 4 represent final speed of 15 Kg block and 23 kg block respectively.
By substitution
[tex]15*4+(23*3.6)=23*5.2+15V_3\\15V_3=23.2\\V_3=1.546666667\approx 1.55 m/s[/tex]