Question
CS International
CSE Physics (Chapter 5 Momentum)
Two equally weighted objects of mass m are moving in opposite directions, one with half
the velocity of the other. If they collide and stick together, what is the resultant
velocity in terms of the faster object’s velocity,
CSE Physics (Chapter 5 Momentum)
Two equally weighted objects of mass m are moving in opposite directions, one with half
the velocity of the other. If they collide and stick together, what is the resultant
velocity in terms of the faster object’s velocity,
Ask by Paul Ward. in Singapore
Mar 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The resultant velocity after the collision is
Solution
-
Let the masses be
. Assume the faster object moves to the right with speed and the slower object moves to the left with speed . -
The momentum of the faster object isand the momentum of the slower object is
-
The total momentum before the collision is
-
Since the objects stick together after the collision, their combined mass is
-
By conservation of momentum, the velocity
of the combined object is given by -
Solving for
gives
The resultant velocity in terms of
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Simplify this solution Mind Expander
When the two objects collide and stick together, we can use the principle of conservation of momentum. Let’s denote the faster object’s velocity as
After they collide and stick together, the combined mass is
Setting the momentum before the collision equal to the momentum after, we have:
Solving for
Thus, the resultant velocity of the two objects after the collision, in terms of the faster object’s velocity
