Question

two objects of masses of hundred gram and 200 gram are moving in same line and direction with a velocity of 2 metre per second and one metre per second respectively they collide and after the collision the first object moves with the velocity of 1.67 metre per second determine the velocity of second object.​

Answer 1

QUESTION-:

two objects of masses of 100 gram and 200 gram are moving in same line and direction with a velocity of 2 metre per second and 1 metre per second respectively they collide and after the collision the first object moves with the velocity of 1.67 metre per second determine the velocity of second object.​

EXPLANATION-:

Here-:

• m₁=100 g=0.1 kg
• u₁=2 m/s
• m₂=200 g=0.2 kg
• u₂= 1 m/s
• v₁=1.67 m/s
• v₂=??

According the conservation of momentum-:

$\leadsto \underline{\boxed{\bigstar \bf\; m_1u_1+m_2u_2=m_1v_1+m_2v_2}}$

Putting the value in the formula we have-:

$\rightarrow \bf\; 0.2+0.2=0.167+0.2v_2\\\\\rightarrow \bf\; 0.4=0.167+0.2v_2\\\\\rightarrow \bf\; 0.4-0.167=0.2v_2\\\\\rightarrow \bf\; v_2=\frac{0.233}{0.2}\\\\\longrightarrow \underline{\boxed{\tt \ddag\;\;v_2=1.165\;m/s\;\;\ddag}}$

So the value of v₂ is 1.165 m/s which implies that the velocity of second object is 1.165 m/s