**Problems**1. A particle of mass \( m \) has an initial momentum vector \( \mathbf{p_1} = m\mathbf{v_1} \), as shown. After being given a sharp blow, the particle has a final momentum vector \( \mathbf{p_2} = m\mathbf{v_2} \). Draw on the figure a vector representing the impulse \( \mathbf{J} \) that must have been delivered to the particle by the sharp blow. Explain your reasoning.**Diagram Explanation:**- The diagram shows a circular particle with two momentum vectors.- The vector \( \mathbf{mv_1} \) is shown pointing in a certain direction, representing the initial momentum of the particle.- The vector \( \mathbf{mv_2} \) is shown pointing in a different direction, indicating the final momentum after the blow.- To complete the problem, you would draw the impulse vector \( \mathbf{J} \), which is the difference between \( \mathbf{p_2} \) and \( \mathbf{p_1} \). This vector represents the change in momentum due to the blow and points from the tip of \( \mathbf{mv_1} \) to the tip of \( \mathbf{mv_2} \).

The impulse delivered to a system can be expressed as,

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