Two ice pucks of the same mass collide and stick together after the collision, if one was at rest and the other one had an initial velocity V¡ = 2 m/s, what is their velocity after the collision?

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**Physics Problem: Conservation of Momentum**

Two ice pucks of the same mass collide and stick together after the collision. If one was at rest and the other one had an initial velocity \( v_i = 2 \, \text{m/s} \), what is their velocity after the collision?

**Options:**

- \( 0.1 \, \text{m/s} \)
- \( 1 \, \text{m/s} \)
- \( 2 \, \text{m/s} \)
- \( 4 \, \text{m/s} \)

**Explanation:**

This problem is based on the principle of conservation of momentum. Since the masses are identical and stick together after the collision, the combined system's final velocity can be calculated using the formula:

\[ m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v_f \]

Where:
- \( m_1 \) and \( m_2 \) are the masses (equal in this case),
- \( v_{1i} \) and \( v_{2i} \) are initial velocities,
- \( v_f \) is the final velocity of the combined mass.

Solve for \( v_f \) after setting \( m_1 = m_2 \), \( v_{1i} = 2 \, \text{m/s} \), and \( v_{2i} = 0 \, \text{m/s} \).
Transcribed Image Text:**Physics Problem: Conservation of Momentum** Two ice pucks of the same mass collide and stick together after the collision. If one was at rest and the other one had an initial velocity \( v_i = 2 \, \text{m/s} \), what is their velocity after the collision? **Options:** - \( 0.1 \, \text{m/s} \) - \( 1 \, \text{m/s} \) - \( 2 \, \text{m/s} \) - \( 4 \, \text{m/s} \) **Explanation:** This problem is based on the principle of conservation of momentum. Since the masses are identical and stick together after the collision, the combined system's final velocity can be calculated using the formula: \[ m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v_f \] Where: - \( m_1 \) and \( m_2 \) are the masses (equal in this case), - \( v_{1i} \) and \( v_{2i} \) are initial velocities, - \( v_f \) is the final velocity of the combined mass. Solve for \( v_f \) after setting \( m_1 = m_2 \), \( v_{1i} = 2 \, \text{m/s} \), and \( v_{2i} = 0 \, \text{m/s} \).
**Question:**

Is the Kinetic Energy conserved in the above collision?

**Options:**

- ○ No, it is an inelastic collision
- ○ Yes, it is an elastic collision

**Explanation:**

This question assesses understanding of kinetic energy conservation in collisions. An elastic collision is one where both momentum and kinetic energy are conserved. In an inelastic collision, momentum is conserved, but kinetic energy is not; some energy is converted into other forms like heat or sound.
Transcribed Image Text:**Question:** Is the Kinetic Energy conserved in the above collision? **Options:** - ○ No, it is an inelastic collision - ○ Yes, it is an elastic collision **Explanation:** This question assesses understanding of kinetic energy conservation in collisions. An elastic collision is one where both momentum and kinetic energy are conserved. In an inelastic collision, momentum is conserved, but kinetic energy is not; some energy is converted into other forms like heat or sound.
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