The recoil speed of the rifle is 0.0167 m/s.
The new recoil speed of the rifle is 0.001 m/s.
Conservation of linear momentum
The principle of conservation of linear momentum states that the total momentum of an isolated system is always conserved.
Initial momentum = Final momentum
Recoil speed of the rifle
The recoil speed of the rifle is calculated using the principle of conservation of linear momentum;
[tex]m_1 v_1 = m_2v_2\\\\v_2 = \frac{m_1v_1}{m_2} \\\\v_2 = \frac{0.5 \times 10^{-3} \times 100}{3} \\\\v_2 = 0.0167 \ m/s[/tex]
New recoil speed
The new recoil speed of the rifle is calculated as follows;
[tex]v(m_1 + m_2 ) = m_3 v_3\\\\v = \frac{m_3v_3}{m_1 + m_2} \\\\v = \frac{0.5\times 10^{-3} \times 100}{3 + 52} \\\\v= 0.001 \ m/s[/tex]
Learn more about recoil speed here: https://brainly.com/question/14543255
