Answer:
man will move in opposite direction with speed
[tex]v_1 = 1.66 \times 10^{-3} m/s[/tex]
Explanation:
As we know that man is lying on the friction-less surface
so here net force along the surface is zero
so if we take man + stone as a system then net change in momentum of this system will become zero
so here we have
[tex]P_i = P_f[/tex]
[tex]0 = m_1v_1 + m_2v_2[/tex]
here we have
[tex]0 = (97)v_1 + 0.062(2.6)[/tex]
[tex]v_1 = -\frac{0.1612}{97}[/tex]
[tex]v_1 = -1.66 \times 10^{-3} m/s[/tex]