A 12.5 cm tall soft drink can has a mass of 17.0 g and contains 362 g of soda when full. Assuming the can is symmetric, its center of mass is obviously 6.25 cm above its base when full and when empty. (a) Where is its center of mass (in cm) when half full? |cm above the base (b) Where is its center of mass (in cm) when one-tenth full? cm above the base

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement: Center of Mass of a Soft Drink Can**

A 12.5 cm tall soft drink can has a mass of 17.0 g and contains 362 g of soda when full. Assuming the can is symmetric, its center of mass is obviously 6.25 cm above its base when full and when empty.

(a) Where is its center of mass (in cm) when half full?

   [Text Box] cm above the base

(b) Where is its center of mass (in cm) when one-tenth full?

   [Text Box] cm above the base

**Explanation:**

The problem involves calculating the center of mass of a cylindrical soft drink can under different conditions of fullness. The can's height and masses for both the empty can and the soda are provided.

To solve it:

1. When half full, the soda's mass will be half of 362 g, and the center of mass should be calculated considering the height of the liquid column.
2. When one-tenth full, the soda's mass will be one-tenth of 362 g. Here, the center of mass calculation also considers the reduced height of the soda.

The given information is for understanding how the center of mass shifts based on the fluid levels within the can.
Transcribed Image Text:**Problem Statement: Center of Mass of a Soft Drink Can** A 12.5 cm tall soft drink can has a mass of 17.0 g and contains 362 g of soda when full. Assuming the can is symmetric, its center of mass is obviously 6.25 cm above its base when full and when empty. (a) Where is its center of mass (in cm) when half full? [Text Box] cm above the base (b) Where is its center of mass (in cm) when one-tenth full? [Text Box] cm above the base **Explanation:** The problem involves calculating the center of mass of a cylindrical soft drink can under different conditions of fullness. The can's height and masses for both the empty can and the soda are provided. To solve it: 1. When half full, the soda's mass will be half of 362 g, and the center of mass should be calculated considering the height of the liquid column. 2. When one-tenth full, the soda's mass will be one-tenth of 362 g. Here, the center of mass calculation also considers the reduced height of the soda. The given information is for understanding how the center of mass shifts based on the fluid levels within the can.
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