b)Energia cinetica relativa totala este [tex]E_{C_{rel}}=\frac{2mv_{rel}^2}{2}=m(\vec{v_1}-\vec{v_2})^2=4mv^2[/tex].Vitezele corpurilor imediat inainte de ciocnire sunt[tex]|v|=\frac{1}{2}\sqrt{\frac{E_{c_{rel}}}{m} }=\frac{1}{2}{\sqrt{\frac{100}{4} }=\frac{1}{2}\sqrt{25}=\frac{5}{2}=2,5 m/s[/tex]
c)Caldura degajata in procesul ciocnirii este:[tex]Q=-\Delta E_c=\frac{m_1v_1^2}{2}+\frac{m_2v_2^2}{2}-\frac{(m_1+m_2)v_c^2}{2}=\frac{m_1m_2}{2(m_1+m_2)}(\vec{v_2}-\vec{v_1})^2=mv^2=\frac{E_{c_rel}}{4}=\frac{100}{4}=25 J=>Q=25 J[/tex]
