Question

two objects each of mass 1.5kg moving in a staight line in opposite directions aand the velocity of the object is 2.5 m/s before the collision during which they stick together. what will be the velocitt of the combined object after collision

Answer 1

Let us see the information already given in the question.

Mass of object 1 before collision = 1.5 kg

Mass of object 2 moving in opposite direction before collision = 1.5 kg

Velocity of object 1 before collision = 2.5 m s-1

Velocity of object 2 moving in opposite direction before collision = -2.5 m s-1

After collision,

Object 1 sticks to object 2

So, the total mass of the combination = m₁+m₂

= 1.5 + 1.5 = 3 kg

Let us consider that the velocity of the combination becomes v.

Then, according to the law of conservation of momentum,

Total momentum before collision = Total momentum after collision

So, m₁v₁ + m₂v₂ = (m₁+m₂)v

That is, (1.5 * 2.5) + (1.5 * -2.5) = 3 * v

3.75 – 3.75 = 3v

Therefore, v = 0 m/s

Thus the velocity of the objects after sticking is 0 m/s.

hope it helps mate