Answered: Ballistic

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 51P

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Ballistic pendulum: A projectile of mass m = 1 kg is fired with an initial speed v₀ = 20 m/s at the bob of a pendulum with radius R = 3 m. The bob has mass M = 4 kg and is suspended by a rod of negligible mass. After the collision the projectile and bob stick together and swing at speed v_f through an arc reaching height h and stop. (assume g=10 m/s²)

(1) What is the speed v_f just after the collision ?

(2) What is the total kinetic energy for projectile and bob together just after the collision?

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