Question

Two objects of mass 1.5 kg are moving in the same straight line but in opposite direction. The velocity of each object is 2.5m/s before collision during which they stick together . What will be the velocity of the combined object after collision?​

Answer 1

Answer:

Mass of one of the objects, m1 = 1.5 kg

Mass of the other object, m2 = 1.5 kg

Velocity of m1 before collision, u1 = 2.5 m/s

Velocity of m2, moving in opposite direction before collision, u2 = ˆ’2.5 m/s

Let v be the velocity of the combined object after collision. By the law of conservation of momentum,

Total momentum after collision = Total momentum before collision,

Or, (m1 + m2) v = m1u1 + m2u2

Or, (1.5 + 1.5) v = 1.5 — 2.5 +1.5 — (€“2.5) [negative sign as moving in opposite direction] Or, v = 0 ms€“1