Answer to Question #284809 in Mechanics | Relativity for Honey ghanghas

Question

A particle of mass 𝑚𝑚 collides elastically with a particle of mass 3𝑚𝑚 which is at rest. In the

𝐶𝐶 −frame, the particle of mass 𝑚𝑚 moves with speed 3 𝑚𝑚/𝑠𝑠 at an angle of 60𝑜𝑜 after the

collision. Find the final velocity for the mass 𝑚𝑚 in the laboratory frame.

Answer 1

Given quantities:

$m_1=m$

$m_2=3m$

$v_1=$ $3 \frac{m}{s}$

$\alpha=60^o$

$v_2=0$

From conservation of momentum

$P_1+P_2=P_1^{'}+P_2^{'}$

$m_1v_1+m_2v_2=(m_1+m_2)U$

$mv_1cos60^o+o=4mU$

$U=\frac{3*0.5}{4}=\frac{3}{8}=0.375\frac{m}{s}$