Instruments for timing is times of Galileo. The Water Clock: You soldered a small pipe at the bottom of a large vessel that could be filled with water. When measuring how long it takes an object to move from point A to point B you took your finger away from the pipe when the object was at point A so water squirted into a glass. As soon as the object arrived at point B you covered the pipe. Then you used a sensitive balance to determine how much more weight the glass had acquired. Suppose you and Galileo take the following data on the motion of the ball before it rolls off the table. • Table height = 1.08 meters • Distance the ball moves along the table = 0.900 meters • Mass of water ejected from the pipe: 79.8 grams • Amount of water squirting out of the pipe each second: 132.6 grams/second Calculate the speed of the ball as it rolls along the table. (assume that there is no friction) Show your work. Feel free to handwrite your calculations. Calculate how long it will take for the ball to reach the floor once it rolls off the table and is in free fall. Show your work. Feel free to handwrite your calculations. Hint Avoid using both x and y directional components at the same time. Only one set of components can be used to solve this given our knowledge about the problem.

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**Instruments for timing** in this experiment are based on ideas from Galileo. 

**The Water Clock:** A small pipe is soldered at the bottom of a large vessel to be filled with water. In the experiment, the time it takes for an object to move from point A to point B is measured by stopping the water flow from the pipe when the object reaches point B. A spout emits water into a collection glass, and a sensitive balance measures the weight of the water.

For this experiment, consider that Galileo has taken the data on the motion of a ball before it rolls off the table:

- **Table height:** 1.08 meters
- **Distance the ball moves along the table:** 0.900 meters
- **Mass of water ejected from the pipe:** 79.8 grams
- **Amount of water squirting out of the pipe each second:** 132.6 grams/second

### Calculations

**1. Calculate the speed of the ball as it rolls along the table.**  
(Assume there is no friction.)  
*Instructions:* Show your work. It's encouraged to perform calculations by hand.

**2. Calculate how long it will take for the ball to reach the floor once it rolls off the table and is in free fall.**  
*Instructions:* Show your work. It's encouraged to perform calculations by hand.  
*Hint:* Avoid using both x and y directional components simultaneously. Only one set of components should be used, based on the knowledge of the problem.
Transcribed Image Text:**Instruments for timing** in this experiment are based on ideas from Galileo. **The Water Clock:** A small pipe is soldered at the bottom of a large vessel to be filled with water. In the experiment, the time it takes for an object to move from point A to point B is measured by stopping the water flow from the pipe when the object reaches point B. A spout emits water into a collection glass, and a sensitive balance measures the weight of the water. For this experiment, consider that Galileo has taken the data on the motion of a ball before it rolls off the table: - **Table height:** 1.08 meters - **Distance the ball moves along the table:** 0.900 meters - **Mass of water ejected from the pipe:** 79.8 grams - **Amount of water squirting out of the pipe each second:** 132.6 grams/second ### Calculations **1. Calculate the speed of the ball as it rolls along the table.** (Assume there is no friction.) *Instructions:* Show your work. It's encouraged to perform calculations by hand. **2. Calculate how long it will take for the ball to reach the floor once it rolls off the table and is in free fall.** *Instructions:* Show your work. It's encouraged to perform calculations by hand. *Hint:* Avoid using both x and y directional components simultaneously. Only one set of components should be used, based on the knowledge of the problem.
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