Question

Please tell it with full explanation​

Answer 1

• Mass=m1=10g=0.01kg
• Mass=m2=990g=0.9kg
• Velocity=v1=400m/s
• Velocity=v2=?

Using law of conservation of linear momentum

$\boxed{\sf \Delta P=P}$

$\\ \sf\longmapsto m_1v_1=m_2v_2$

$\\ \sf\longmapsto (0.01)(400)=0.9v_2$

$\\ \sf\longmapsto 4=0.9v_2$

$\\ \sf\longmapsto v_2=\dfrac{4}{0.9}$

$\\ \sf\longmapsto v_2=4.4m/s$

Answer 2

Explanation:-

Let's use conservation of momentum:-

$\sf\;m_1u_1+m_2_=(m_1+m_2)v$

$\sf\;m_1=10\;g=\frac{10}{1000}\;kg\\\\u_1=400\;m/s\\\\m_2=990\;g=\frac{990}{1000}\;kg\\\\u_2=0\;\;\;\;\;as\;the\;wooden\;block\;is\;stationary$

$\sf\;\frac{10}{1000}\times 400+\frac{990}{1000}\times 0=(1)v\\\\4=1v\\\\v=1\;m/s$

So the velocity will be 4 m/s