Question

Two object of masses
100g, and 300g are moving
along
the same line and direction with a
velocity of 3m/s and 2m/s
they collide and after colloision
Ist object moves with velocity of 1.5m/s What
is velocity of 2nd object

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Answer 1

Answer: 2.5 m/s

Explanation:

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Answer 2

Given that ,

The masses of two objects are 100 g and 300 g and moving with a velocity of 3 m/s and 2 m/s

After collision , the first object moves with a velocity of 1.5 m/s

We know that , the law of conservation of linear momentum is given by

$\large \sf \fbox{m_{1} u_{1} + m_{2} u_{2} = m_{1} v_{1} + m_{2} v_{2} \: \: }$

Thus ,

$\sf \mapsto (0.1 × 3)+(0.3 × 2) = (0.1 × 1.5)+(0.3 × v_{2} ) \\ \\ \sf \mapsto</p><p>0.3 + 0.6 = 0.15 + 0.3(v_{2}) \\ \\ \sf \mapsto</p><p>0.9 = 0.15 + 0.3(v_{2}) \\ \\ \sf \mapsto</p><p>0.75 = 0.3(v_{2}) \\ \\ \sf \mapsto</p><p>v_{2} = \frac{0.75}{0.3} \\ \\ \sf \mapsto</p><p>v_{2} = 2.5 \: m/s</p><p>$

$\therefore \sf \underline{The \: velocity \: of \: second \: object \: after \: collision\: is \: 2.5 \: m/s }$