Advertisement Remove all ads

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

Two objects, each of mass 1.5 kg are moving in the same straight line but in opposite directions. The velocity of each object is 2.5 m s−1 before the collision during which they stick together. What will be the velocity of the combined object after collision?

Advertisement Remove all ads

Solution

Mass of one of the objects, m1 = 1.5 kg

Mass of the other object, m2 = 1.5 kg

Velocity of m1 before collision, v1 = 2.5 m/s

Velocity of m2, moving in opposite direction before collision, v2 = −2.5 m/s

(Negative sign arises because mass m2 is moving in an opposite direction)

After collision, the two objects stick together.

Total mass of the combined object = m1 + m2

Velocity of the combined object = v

According to the law of conservation of momentum:

Total momentum before collision = Total momentum after collision

m1v1 + m2 v2 = (m1 + m2v

1.5(2.5) + 1.5 (−2.5) = (1.5 + 1.5) v

3.75 − 3.75 = 3 v

v = 0

Hence, the velocity of the combined object after collision is 0 m/s.

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

NCERT Class 9 Science Textbook
Chapter 9 Force and Laws of Motion
Q 11 | Page 128
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×