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Two objects, each ofmass 1.5 kg are moving in the same straight line but in opposite directions. The velocity of each object is 2.5 ms^(-1) before the collision during which they stick together. What will be the velocity of the combined object after collision ?

Answer»

Solution :MASS of one of the object , `m_1= 1.5 kg`. Mass of the other object `m_2=1.5 kg `.
VELOCITY of `m_1` before collision `u_1=2.5 m//s`
velocity of `m_2` moving in OPPOSITE direction before collision, `u_2=2.5 m//s`.
Let V be the velocity of the COMBINED object after collision . By thelaw of conservation of momentum.
Total momentum after collision =Total momentum before collision .
or `(m_1+m_2)=V=m_1u_1+m_2u_2`
`(1.5 +1.5)v=1.5xx2.5 +1.5xx(-2.5)`
[negative sign as moving in opposite direction ] or `v=O ms^(-1)`


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