Three bodies having masses $$5$$ kg, $$4$$ kg and $$2$$ kg are moving at the speeds of $$5$$ $$ms-1$$, $$4$$ $$ms-1$$ and $$2$$ $$ms-1$$, respectively along $$X-axis$$. The magnitude of velocity of centre of mass is [AllMS $$2018$$]

Question

Three bodies having masses $$5$$ kg, $$4$$ kg and $$2$$ kg are moving at the speeds of $$5$$ $$ms-1$$, $$4$$ $$ms-1$$ and $$2$$ $$ms-1$$, respectively along $$X-axis$$. The magnitude of velocity of centre of mass is [AllMS $$2018$$]

Infinity Learn · Accepted Answer

Velocity of centre of mass,          ν$$CM=m1v1+m2v2+m33m1+m2+m3Given$$, $$m1=5$$ kg, $$v1=5ms-1$$,           $$m2=4$$ kg, $$v2=4$$ $$ms-1$$, $$m3$$ $$=$$ $$2kg$$ and $$v3$$ $$=$$ $$2$$ $$ms-1Substituting$$ all these values in above equation, we get           ν$$CM=5$$×$$5+4$$×$$4+2$$×$$25+4+2=25+16+411$$∴      $$vCM=4511=4.09$$≈$$4$$ $$ms-1$$

Three bodies having masses 5 kg, 4 kg and 2 kg are moving at the speeds of $5 {ms}^{- 1}, 4 {ms}^{- 1} and 2 {ms}^{- 1},$
respectively along X-axis. The magnitude of velocity of centre of mass is [AllMS 2018]

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Three bodies having masses 5 kg, 4 kg and 2 kg are moving at the speeds of 5 ms-1, 4 ms-1 and 2 ms-1, respectively along X-axis. The magnitude of velocity of centre of mass is [AllMS 2018]

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Three bodies having masses 5 kg, 4 kg and 2 kg are moving at the speeds of $5 {ms}^{- 1}, 4 {ms}^{- 1} and 2 {ms}^{- 1},$
respectively along X-axis. The magnitude of velocity of centre of mass is [AllMS 2018]