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## Homework Statement

A car of 800 kg was going towards east with a velocity of 36km/h and an another car of 1600 kg was going towards west with a velocity of 54km/h. After collision, in which direction and with how much velocity will the cars go?

## Homework Equations

$m_1u_1+m_2u_2 = (m_1+m_2)v$

## The Attempt at a Solution

Here, we can take the first cars' mass as 1 and the second car as 2

Then,

$m_1=800kg$

$m_2=1600kg$

$u_1=36km/h$

$=\frac{36*10^3}{60*60}$

$=10m/s$

$u_2=54km/h$

$=\frac{54*10^3}{60*60}$

$=15m/s$

We know,

$m_1u_1+m_2u_2 = (m_1+m_2)v$

$Or, v = \frac{m_1u_1+m_2u_2}{m_1+m_2}$

$= \frac{800*10+1600*15}{800+1600}$

$= 13.33 m/s$ (ans.)

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