Question

Two rugby players run towards each other and have an inelastic collision. Given the mass 70 kg and 60 kg respectively, and velocity 3 ms-1 and 4 ms-1. Calculate the final velocity and its direction of the respective players. Discuss how a rugby player’s bone develops if continuously performing the weight bearing exercise using Wolff’s Law and bone remodeling theory.  

Answer 1

Answer

inelastic collision so coefficient of restitution e=0

Mass of players

$m_1=70kg\\m_2=60kg$

Initial velocity

$u_1=3m/s\\u_2=4m/s$

Initial momentum

$P_i=m_1u_1+m_2u_2\\=-210+240\\=30kg-m/s$

So final velocities of players as below

$v_1=\frac{P_i}{(m_1+m_2) }\\=\frac{30}{(70+60) }\\=0.23m/s$

And also

$v_2=\frac{P_i}{(m_1+m_2) }\\=\frac{30}{(70+60) }\\=0.23m/s$

In this process momentum remains constant.