### Problem DescriptionAt a county fair, you encounter a physics-based game involving a thin rod and a Velcro-covered ball. The setup is as follows:- **Rod Characteristics:** - Mass (\(M\)) = 0.570 kg - Length (\(\ell\)) = 2.70 m - The rod pivots friction-free at its upper end. - The front surface of the rod is covered with Velcro.- **Ball Characteristics:** - Mass (\(m\)) = 1.05 kg - The ball is also covered with Velcro, allowing it to stick upon impact.### ObjectiveThe goal is to throw the Velcro-covered ball at the rod to make it swing backward and rotate 180°, entirely over the top. The ball must remain stuck to the rod post-impact. Successfully achieving this results in winning a stuffed animal.### StrategyYour friend suggests that striking the rod at its lowest point might apply the most torque, aiding in full rotation. The challenge is calculating the ball's minimum speed required to accomplish this.### CalculationUsing principles of physics, particularly conservation of angular momentum and energy, you determine that the minimum speed necessary for the ball to complete a full rotation and win the game is **10.652 m/s**.### Diagram ExplanationThe diagram illustrates:- The vertical rod pivoting from its top.- The Velcro-covered surface along the front of the rod.- The incoming ball heading towards the rod, indicating the direction of its motion with a red arrow.This setup exemplifies concepts like angular momentum and torque, crucial for solving the problem.

Answered: Image /qna-images/answer/e326e29c-d88a-4f7d-8b9c-a846199b7bb2.jpg

Velcro. Incoming Velcro-covered ball Pivot M m nt surface of the rod is covered with Velcro. You are to throw a Velcro-covered ball of mass m = 1.05 kg at the rod in an attempt to t swing backward and rotate all the way across the top. The ball must stick to the rod at all times after striking it. If you cause the rotate over the top position (that is, rotate 180° opposite of its starting position), you win a stuffed animal. Your friend volunteers to luck. He feels that the most torque would be applied to the rod by striking it at its lowest end. While he prepares to aim at the lowest in the rod, you calculate how fast he must throw the ball to win the stuffed animal with this technique. How fast must he throw the win the stuffed animal? (Enter the minimum speed necessary to win in m/s.) x m/s

Velcro. Incoming Velcro-covered ball Pivot M m nt surface of the rod is covered with Velcro. You are to throw a Velcro-covered ball of mass m = 1.05 kg at the rod in an attempt to t swing backward and rotate all the way across the top. The ball must stick to the rod at all times after striking it. If you cause the rotate over the top position (that is, rotate 180° opposite of its starting position), you win a stuffed animal. Your friend volunteers to luck. He feels that the most torque would be applied to the rod by striking it at its lowest end. While he prepares to aim at the lowest in the rod, you calculate how fast he must throw the ball to win the stuffed animal with this technique. How fast must he throw the win the stuffed animal? (Enter the minimum speed necessary to win in m/s.) x m/s

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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