Question

10. Object AB has a mass of 10 kg and a velocity of 2 m/s. It splits into two parts, part A has a momentum of 13 Ns and object B has a velocity of 3.5 m/s. What is the mass of object A and B?

Answer 1

The mass of object A and B are 7.82 kg and 2.18 kg respectively.

Given data:

The mass of object AB is M=10 kg.

The velocity of object AB is V=2 m/s.

The final momentum of object A is p=13 Ns.

The final velocity of object B is v=3.2 m/s.

Applying the conservation of momentum before and after the collision,

`\begin{gathered} MV=p+m_Bv \\ (10)(2)=13+(m_B)3.2 \\ m_B=2.18kg \end{gathered}`

Here, mB is the mass of object B.

The mass of object A can be calculated as,

`\begin{gathered} m_A+m_B=M \\ m_A+2.18=10 \\ m_A=7.82kg \end{gathered}`

Here, mA is the mass of object A.

Thus, the mass of object A and B are 7.82 kg and 2.18 kg respectively.