1. First, show how conservation of linear momentum can be used to find the velocity, vwB, of the bullet+block system just after colliding (in terms of ve, m8, and mw). 可=可 (show steps)

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### Conservation of Linear Momentum and Energy – Educational Explanation

1. **Conservation of Linear Momentum**
   - First, show how conservation of linear momentum can be used to find the velocity, \( v_{\text{WB}} \), of the bullet+block system *just after colliding* (in terms of \( v_0 \), \( m_B \), and \( m_W \)).
   
   \[
   \vec{p}_i = \vec{p}_f
   \] 
   
   \((\text{show steps})\)
   
   \[
   v_{\text{WB}} = 
   \]

2. **Kinetic to Gravitational Potential Energy Conversion**
   - Once combined, the bullet+block system swings upward to a maximum height, \( h \). In doing so, the kinetic energy of the system (just after colliding) is converted into gravitational potential energy. In terms of \( g \), \( v_{\text{WB}} \), \( h \), \( m_B \), and \( m_W \), write these two energies below.
   
   \[
   K = 
   \]
   
   \[
   U_g = 
   \]

3. **Conservation of Mechanical Energy**
   - Next, show how conservation of mechanical energy can be used to relate the velocity, \( v_{\text{WB}} \), of the bullet+block system *just after colliding* to the maximum swing height, \( h \).
   
   \[
   E_i = E_f
   \] 
   
   \((\text{show steps})\)
   
   \[
   h = 
   \]

### Diagram Explanation:
The image includes three main sections guiding the user through the process of demonstrating conservation laws. The first section deals with linear momentum, the second with energy conversion from kinetic to potential, and the third with using energy conservation to relate velocity to maximum height.

Each section invites the user to engage with the theoretical formulation by filling in steps for completing equations, reinforcing the understanding of physical principles.
Transcribed Image Text:### Conservation of Linear Momentum and Energy – Educational Explanation 1. **Conservation of Linear Momentum** - First, show how conservation of linear momentum can be used to find the velocity, \( v_{\text{WB}} \), of the bullet+block system *just after colliding* (in terms of \( v_0 \), \( m_B \), and \( m_W \)). \[ \vec{p}_i = \vec{p}_f \] \((\text{show steps})\) \[ v_{\text{WB}} = \] 2. **Kinetic to Gravitational Potential Energy Conversion** - Once combined, the bullet+block system swings upward to a maximum height, \( h \). In doing so, the kinetic energy of the system (just after colliding) is converted into gravitational potential energy. In terms of \( g \), \( v_{\text{WB}} \), \( h \), \( m_B \), and \( m_W \), write these two energies below. \[ K = \] \[ U_g = \] 3. **Conservation of Mechanical Energy** - Next, show how conservation of mechanical energy can be used to relate the velocity, \( v_{\text{WB}} \), of the bullet+block system *just after colliding* to the maximum swing height, \( h \). \[ E_i = E_f \] \((\text{show steps})\) \[ h = \] ### Diagram Explanation: The image includes three main sections guiding the user through the process of demonstrating conservation laws. The first section deals with linear momentum, the second with energy conversion from kinetic to potential, and the third with using energy conservation to relate velocity to maximum height. Each section invites the user to engage with the theoretical formulation by filling in steps for completing equations, reinforcing the understanding of physical principles.
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