"given data:"given data:
m_1=2kgm1=2kg
v_1=1m/sv1=1ms
"Momentum before collision for the first ball:"Momentum before collision for the first ball:
vec P_1=m_1*v_1=2*1=2 kg*m/s→P1=m1⋅v1=2⋅1=2kg⋅ms
m_2=3 kgm2=3kg
v_2=0v2=0
"momentum before collision for the second ball:"momentum before collision for the second ball:
vec P_2=3*0=0→P2=3⋅0=0
"Total momentum before collision:"Total momentum before collision:
vec P_b=vec P_1+vec P_2→Pb=→P1+→P2
vecP_b=2+0=2 kg*m/s→Pb=2+0=2kg⋅ms
"Velocities for post collision :"Velocities for post collision :
u_1:"Post collision velocity of the first ball"u1:Post collision velocity of the first ball
u_1=(2*vec P_b)/(m_1+m_2)-v_1u1=2⋅→Pbm1+m2−v1
u_1=(2*2)/(2+3)-1u1=2⋅22+3−1
u_1=4/5-1u1=45−1
u_1=-1/5 m/su1=−15ms
u_2:"Post collision velocity of the second ball"u2:Post collision velocity of the second ball
u_2=(2*vec P_b)/(m_1+m_2)-v_2u2=2⋅→Pbm1+m2−v2
u_2=(2*2)/(2+3)-0u2=2⋅22+3−0
u_2=4/5 m/su2=45ms