Question

Two bodies of mass 2kg and 4kg are moving with velocity of 20m/s and 40m/s towards each other due tomutual attraction force. Their velocity of centre of mass is

Answer 1

$\huge\underline\blue{\sf Answer:}$

$\large\red{\boxed{\sf V_{COM}=-20m/s}}$

$\huge\underline\blue{\sf Solution:}$

$\large\underline\pink{\sf Given: }$

• Mass ($\sf{m_1}$)=2kg

• Mass ($\sf{m_2}$)=4kg

• Velocity ($\sf{v_1}$=20m/s

• Velocity ($\sf{v_2}$)=40m/s

$\large\underline\pink{\sf To\:Find: }$

• Velocity of centre of mass ($\sf{V_{COM}}$)=?

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We know ,

$\large{♡}$$\large{\boxed{\sf V_{COM}=\frac{m_1v_1+m_2v_2}{m_1+m_2} }}$

$\large\implies{\sf \frac{2×20-4×40}{2+4}}$

[ Negative (-) because both are moving in opposite direction ]

$\large\implies{\sf \frac{40-160}{6} }$

$\large\implies{\sf -\frac{120}{6}}$

$\large\implies{\sf V_{COM}=-20m/s }$

$\huge\red{♡}$$\Large\red{\boxed{\sf V_{COM}=-20m/s}}$