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A bullet of mass m travels with speed v towards a block that is initially 4. at rest. The bullet cuts the block into two pieces with masses m1 and m2. After the impact, the bullet continues on its original path but with a reduced speed v', while masses m1 and m2 travel with speeds vi and v2 at the angles 01 and 02. If 01 and 02 are known, find the values of vi and v2. Law 了on m1 m m Application m2 02 V2

A bullet of mass m travels with speed v towards a block that is initially 4. at rest. The bullet cuts the block into two pieces with masses m1 and m2. After the impact, the bullet continues on its original path but with a reduced speed v', while masses m1 and m2 travel with speeds vi and v2 at the angles 01 and 02. If 01 and 02 are known, find the values of vi and v2. Law 了on m1 m m Application m2 02 V2

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### Problem Statement **4.** A bullet of mass \( m \) travels with speed \( v \) towards a block that is initially at rest. The bullet cuts the block into two pieces with masses \( m_1 \) and \( m_2 \). After the impact, the bullet continues on its original path but with a reduced speed \( v' \), while masses \( m_1 \) and \( m_2 \) travel with speeds \( v_1 \) and \( v_2 \) at the angles \( \theta_1 \) and \( \theta_2 \). If \( \theta_1 \) and \( \theta_2 \) are known, find the values of \( v_1 \) and \( v_2 \). ### Law [Content about the relevant physical laws will be added here.] ### Application [Content about how to apply these laws to solve the problem will be added here.] ### Diagram Explanation The diagram is composed of two parts: 1. **Initial State:** - A bullet of mass \( m \) is shown moving towards the right with an initial speed \( v \). - The block, represented as a square, is stationary. 2. **Final State:** - The bullet is depicted as continuing its trajectory to the right but with a reduced speed \( v' \). - The mass \( m_1 \) is represented as moving upwards to the right at an angle \( \theta_1 \) with respect to the horizontal axis, with a speed \( v_1 \). - The mass \( m_2 \) is depicted as moving downwards to the right at an angle \( \theta_2 \) with respect to the horizontal axis, with a speed \( v_2 \). The task requires using these given angles and applying conservation laws to find the unknown speeds \( v_1 \) and \( v_2 \).
Transcribed Image Text:### Problem Statement **4.** A bullet of mass \( m \) travels with speed \( v \) towards a block that is initially at rest. The bullet cuts the block into two pieces with masses \( m_1 \) and \( m_2 \). After the impact, the bullet continues on its original path but with a reduced speed \( v' \), while masses \( m_1 \) and \( m_2 \) travel with speeds \( v_1 \) and \( v_2 \) at the angles \( \theta_1 \) and \( \theta_2 \). If \( \theta_1 \) and \( \theta_2 \) are known, find the values of \( v_1 \) and \( v_2 \). ### Law [Content about the relevant physical laws will be added here.] ### Application [Content about how to apply these laws to solve the problem will be added here.] ### Diagram Explanation The diagram is composed of two parts: 1. **Initial State:** - A bullet of mass \( m \) is shown moving towards the right with an initial speed \( v \). - The block, represented as a square, is stationary. 2. **Final State:** - The bullet is depicted as continuing its trajectory to the right but with a reduced speed \( v' \). - The mass \( m_1 \) is represented as moving upwards to the right at an angle \( \theta_1 \) with respect to the horizontal axis, with a speed \( v_1 \). - The mass \( m_2 \) is depicted as moving downwards to the right at an angle \( \theta_2 \) with respect to the horizontal axis, with a speed \( v_2 \). The task requires using these given angles and applying conservation laws to find the unknown speeds \( v_1 \) and \( v_2 \).
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