(Solved): Part 2 - Ballistic Pendulum: Consider a ball of mass m1 moving horizontally at a speed v. It ...

Part 2 - Ballistic Pendulum: Consider a ball of mass $m_1$ moving horizontally at a speed $v$. It collides with and sticks to a hanging mass $m_2$ attached to a pendulum. The goal of this exercise is to predict the maximum height h reached hu the nendilhum after thal inalactir mallicinn 3. When considering the collision (parts a and b of the motion), which conservation law should be used? Conservation of momentum or conservation of mechanical energy? Justify your choice. 4. To confirm the hypothesis, we will make predictions using both conservation laws, knowing that only one of the conservation laws will give the right answer. Consider the system composed of the ball and hanging mass. Determine the speed $v_2$ of the two objects after the collision as a function of the bali's $\left(m_1\right)$ initial speed $v$ using a. conservation of mechanical energy; b. conservation of momentum. 5. Derive an algebraic expression for the maximum height $h$ that will be reached by the pendulum as a function of $v_2$