Answer:
[tex]|P_3|=21.242m/s[/tex]
Explanation:
From the question we are told that:
Mass [tex]m=200g=0.2[/tex]
Speed [tex]v=82.0m/s[/tex]
Mass [tex]M_2=300g=0.3kg[/tex]
Speed [tex]V_2=45.0m/s[/tex]
Generally the equation for Magnitude of the Third piece is mathematically given by
[tex]P_1+P_2+P_3=0[/tex]
[tex]|P_3|=|P_1+P_2|[/tex]
Where
[tex]P_1=m_1v_1[/tex]
[tex]P_1=0.2*82[/tex]
[tex]P_1=16.4kgm/s[/tex]
And
[tex]P_2=0.3*45[/tex]
[tex]P_2=13.5kgm/s[/tex]
Therefore
[tex]|P_3|=\sqrt{16.4^2+13.5^2}[/tex]
[tex]|P_3|=21.242m/s[/tex]
