The mass of body after collision is, Mbody=M+m Mbody=1+0.5 Mbody=1.5kg From the conservation of momentum, the velocity of the body after collision is, (M+m)v′=mv (1+0.5)v′=(0.5)(3) v′=1m∕s The maximum amplitude of spring mass system is, A−
v′
ω
−
v′
2Ï€f
A=
1
2Ï€(
10
Ï€
)
A=0.05m A=5cm The frequency of oscillation is calculated as, f=