Part 2- Ballistic Pendulum: Consider a ball of mass m, moving horizontally at a speed v. It collides with and sticks to a hanging mass m₂ attached to a pendulum. The goal of this exercise is to predict the maximum height h reached by the pendulum after the inelastic collision.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Part 2 - Ballistic Pendulum: Consider a ball of mass m, moving horizontally at a speed v. It collides with
and sticks to a hanging mass m₂ attached to a pendulum. The goal of this exercise is to predict the
maximum height h reached by the pendulum after the inelastic collision.
b.
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 v₂ of the two objects after the collision as a
function of the ball's (m₂) 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 v₂.
Transcribed Image Text:Part 2 - Ballistic Pendulum: Consider a ball of mass m, moving horizontally at a speed v. It collides with and sticks to a hanging mass m₂ attached to a pendulum. The goal of this exercise is to predict the maximum height h reached by the pendulum after the inelastic collision. b. 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 v₂ of the two objects after the collision as a function of the ball's (m₂) 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 v₂.
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