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Physics II workshop_Part_60

Physics II workshop_Part_60 - Ballistic Pendulum Part I In...

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122 Ballistic Pendulum – Part I In this experiment, you will use a ballistic pendulum to measure the initial velocity of a projectile fired from a spring-loaded gun. Equipment. Ballistic pendulum device. Rule. Important: make a note of the serial number of your device. Theory Your first task is to derive an equation relating the initial speed of the ball ( v 1 ) to quantities we can measure directly. Break the problem into two steps. 1 A ball of mass m , moving at speed v 1 slams into the pendulum arm of mass M . Since the ball sticks in the cradle, this is a completely inelastic collision. Use conservation of momentum to write an equation relating v 1 to the velocity of the arm-plus-ball, v 2 , immediately after the collision. 2 After the collision, the pendulum arm, which has now has a mass M+m and an initial speed v 2 , swings up until it reaches a high point at an angle θ . Use conservation of energy to write an equation relating v 2 to the distance h between the initial and final positions of the center of mass of the arm. Now use trigonometry to figure out the relationship between
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