### Physics Problem: Calculating Falling Speed Using Pulley System---Wayne, Daryl, Katy Cat, Bonny, and Squirrely Dan are trying to finish their chores on the farm. They have to bring down a couple of bags of cattle feed from the 2nd floor of their barn, to the bottom. To do this, they will use a disc pulley to lower the two bags of cattle feed down. As a counterweight, they will use their friend Stewart. Stewart will start on the ground with the rope attached to him, and since Stewart has a lower mass than the two bags of cattle feed, when they put the cattle feed over the edge on the 2nd floor, the cattle feed will fall down, and Stewart will be raised up. Using the givens below, calculate how fast the bags of cattle feed will be falling the instant before they hit the ground.#### Given Data:1. **Mass of Stewart:** 55 Kg2. **Mass of the two bags of cattle feed:** 70 Kg3. **Height of the 2nd floor of the barn:** 2.5m4. **Radius of the disc pulley:** 0.75m5. **Mass of the disc pulley:** 4 Kg6. **Acceleration of Gravity:** 10 m/s²#### Diagram Explanation:Imagine a simple pulley setup where the rope attached to Stewart on one side of the disc pulley and two bags of cattle feed on the other side. As the cattle feed bags descend, Stewart ascends simultaneously since they are connected through the pulley system.---**Calculation Steps:**1. Analyze the forces acting on both Stewart and the cattle feed bags.2. Incorporate the disc pulley's rotational inertia.3. Apply Newton's Laws and the principles of energy conservation to derive the final velocity.Explore these principles and calculations further to understand how mechanical systems like pulleys can make work easier and more efficient on a farm.---

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Wayne, Daryl, Katy Cat, Bonny, and Squirrely Dan are trying to finish their chores on the farm. They have to bring down a couple bags of cattle feed from the 2nd flo of their barn, to the bottom. To do this they will use a disc pulley to lower the two bags of cattle feed down. As a counter weight, they will use their friend Stewart. Stewart will start on the ground with the rope attached to him, and since Stewart has a lower mass than the two bags of cattle feed, when they put the cattle feed ov the edge on the 2nd floor, the cattle feed will fall down, and Stewart will be raised up. Using the givens below, calculate how fast the bags of cattle feed will be falling the instant before they hit the ground. Mass of Stewart: 55 Kg Mass of the two bags of cattle feed: 70 Kg Height of the 2nd floor of the barn: 2.5m Radius of the disc pulley: 0.75m Mass of the disc pulley: 4 kg Acceleration of Gravity: 10

Wayne, Daryl, Katy Cat, Bonny, and Squirrely Dan are trying to finish their chores on the farm. They have to bring down a couple bags of cattle feed from the 2nd flo of their barn, to the bottom. To do this they will use a disc pulley to lower the two bags of cattle feed down. As a counter weight, they will use their friend Stewart. Stewart will start on the ground with the rope attached to him, and since Stewart has a lower mass than the two bags of cattle feed, when they put the cattle feed ov the edge on the 2nd floor, the cattle feed will fall down, and Stewart will be raised up. Using the givens below, calculate how fast the bags of cattle feed will be falling the instant before they hit the ground. Mass of Stewart: 55 Kg Mass of the two bags of cattle feed: 70 Kg Height of the 2nd floor of the barn: 2.5m Radius of the disc pulley: 0.75m Mass of the disc pulley: 4 kg Acceleration of Gravity: 10

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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