Given information
The mass of the block is 
.
The mass of the bullet is 
.
The speed of the bullet is 
.
Step-by-step explanation
Initially the system has only the potential energy, therefore, the formula for the initial energy of the system is
Here, 
is the initial energy, 
is the mass of the bullet, 
is the mass of the block, 
is the acceleration due to gravity and 
is the height.
Finally the system has only the kinetic energy, therefore, the formula for the final energy of the system is
Here, 
is the final energy and 
is the final speed of the system.
According to the law of conservation of energy, the total energy of an isolated system is always conserved, i.e. the initial energy of a system is equal to its final energy.
Apply the law of conservation of energy, 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