Given information
The mass of the asteroid A is 
.
The velocity of the asteroid A is 
.
The mass of the asteroid B is 
.
The velocity of the asteroid B is 
.
Step-by-step explanation
In inelastic collision the kinetic energy of the objects change from one form of energy to another but the total momentum of the system remains conserved.
According to the law of conservation of momentum, the total momentum of an isolated system always remains the same, i.e. the initial momentum and final momentum is equal.
The initial momentum of the system is
Here, 
is the initial momentum, 
is the mass , 
is the velocity of the asteroid A, 
is the mass and 
is the velocity of the asteroid B.
The final momentum of the system is
Here, 
is the final momentum and 
is the final velocity of the new asteroid.
Apply the law of conservation of momentum, the formula becomes
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Physics: Principles with Applications
Solutions
Chapter
Section
- Problem 67
- Problem 68
- Problem 69
- Problem 70
- Problem 71a
- Problem 71b
- Problem 72
- Problem 73
- Problem 74a
- Problem 74b
- Problem 74c
- Problem 75
- Problem 76a
- Problem 76b
- Problem 77a
- Problem 77b
- Problem 78a
- Problem 78b
- Problem 78c
- Problem 79a
- Problem 79b
- Problem 80a
- Problem 80b
- Problem 81a
- Problem 81b
- Problem 82
- Problem 83a
- Problem 83b
- Problem 83c
- Problem 83d
- Problem 84
- Problem 85
- Problem 86