### Physics Game at the County FairAt a county fair, you encounter a physics-based game involving a thin rod and a Velcro-covered ball.#### Equipment and Setup- **Rod:** - Mass \( M = 0.520 \, \text{kg} \) - Length \( \ell = 2.05 \, \text{m} \) - Hangs from a friction-free pivot at its upper end. - Front surface covered with Velcro.- **Ball:** - Mass \( m = 1.15 \, \text{kg} \) - Covered with Velcro for attachment upon impact.#### ObjectiveThrow the Velcro-covered ball at the rod to make it swing backward and complete a full rotation (180° from its starting position). If successful, you win a stuffed animal.#### Strategy- Aim to strike the rod at its lowest point for maximum torque.- Calculate the minimum velocity required for the ball to achieve the necessary motion of the rod.#### Challenge- Determine the minimum speed at which the ball must be thrown to rotate the rod over the top.- Enter the velocity in the provided text box as \( \text{m/s} \).This interactive experiment provides an engaging way to explore the principles of torque and rotational dynamics.

Answered: Image /qna-images/answer/822abc97-ef94-4919-a197-5a8c1ad2414e.jpgvelocity of ball will be 10.652 m/s

You are attending a county fair with your friend from your physics class. While walking around the fairgrounds, you discover a new game of skill. A thin rod of mass M = 0.520 kg and length = 2.05 m hangs from a friction-free pivot at its upper end as shown in the figure. Pivot Velcro. Incoming Velcro-covered ball M e m The front surface of the rod is covered with Velcro. You are to throw a Velcro-covered ball of mass m = 1.15 kg at the rod in an attempt to make it 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 rod to rotate over the top position (that is, rotate 180° opposite of its starting position), you win a stuffed animal. Your friend volunteers to try his 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 point on 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 ball to win the stuffed animal? (Enter the minimum speed necessary to win in m/s.) m/s

You are attending a county fair with your friend from your physics class. While walking around the fairgrounds, you discover a new game of skill. A thin rod of mass M = 0.520 kg and length = 2.05 m hangs from a friction-free pivot at its upper end as shown in the figure. Pivot Velcro. Incoming Velcro-covered ball M e m The front surface of the rod is covered with Velcro. You are to throw a Velcro-covered ball of mass m = 1.15 kg at the rod in an attempt to make it 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 rod to rotate over the top position (that is, rotate 180° opposite of its starting position), you win a stuffed animal. Your friend volunteers to try his 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 point on 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 ball to win the stuffed animal? (Enter the minimum speed necessary to win in m/s.) 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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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

### Physics Game at the County Fair

At a county fair, you encounter a physics-based game involving a thin rod and a Velcro-covered ball.

#### Equipment and Setup
- **Rod:**
- Mass \( M = 0.520 \, \text{kg} \)
- Length \( \ell = 2.05 \, \text{m} \)
- Hangs from a friction-free pivot at its upper end.
- Front surface covered with Velcro.

- **Ball:**
- Mass \( m = 1.15 \, \text{kg} \)
- Covered with Velcro for attachment upon impact.

#### Objective
Throw the Velcro-covered ball at the rod to make it swing backward and complete a full rotation (180° from its starting position). If successful, you win a stuffed animal.

#### Strategy
- Aim to strike the rod at its lowest point for maximum torque.
- Calculate the minimum velocity required for the ball to achieve the necessary motion of the rod.

#### Challenge
- Determine the minimum speed at which the ball must be thrown to rotate the rod over the top.
- Enter the velocity in the provided text box as \( \text{m/s} \).

This interactive experiment provides an engaging way to explore the principles of torque and rotational dynamics.

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