2. You are heading over to get some Gatorade out of the cooler when a clumsy teammate breaks the tap off. The cooler is filled to a height of 85 cm above the hole. The hole left by the missing tap has an area of 7.85x10-5 m². You can assume that Gatorade has the same density as water p= 1000 kg m3 a. What is the horizontal velocity of the Gatorade leaving the hole at the bottom of the cooler? Assume that the velocity of the water at the top of the cooler is zero. (Bernoulli's Equation problem) b. If the cooler is on a table and the hole is 1.15 m above the ground, what is the velocity of the liquid just before it hits the ground? (conservation of energy problem) c. How long does it take for the liquid to hit the ground? (projectile motion problem) h = 0.85 m V₂ = 7 h = 1.15 m

2. You are heading over to get some Gatorade out of the cooler when a clumsy teammate breaks the tap off. The cooler is filled to a height of 85 cm above the hole. The hole left by the missing tap has an area of 7.85x10-5 m². You can assume that Gatorade has the same density as water p= 1000 kg m3 a. What is the horizontal velocity of the Gatorade leaving the hole at the bottom of the cooler? Assume that the velocity of the water at the top of the cooler is zero. (Bernoulli's Equation problem) b. If the cooler is on a table and the hole is 1.15 m above the ground, what is the velocity of the liquid just before it hits the ground? (conservation of energy problem) c. How long does it take for the liquid to hit the ground? (projectile motion problem) h = 0.85 m V₂ = 7 h = 1.15 m

Name: ### Physics Problem Involving Fluid Dynamics and Projectile Motion###
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Description: ### Physics Problem Involving Fluid Dynamics and Projectile Motion#### Problem Statement2. You are heading over to get some Gatorade out of the cooler when a clumsy teammate breaks the tap off. The cooler is filled to a height of 85 cm above the hol

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

### Physics Problem Involving Fluid Dynamics and Projectile Motion

#### Problem Statement

2. You are heading over to get some Gatorade out of the cooler when a clumsy teammate breaks the tap off. The cooler is filled to a height of 85 cm above the hole. The hole left by the missing tap has an area of 7.85×10^-5 m². You can assume that Gatorade has the same density as water (ρ = 1000 kg/m³).

a. **Horizontal Velocity of the Fluid**
- What is the horizontal velocity of the Gatorade leaving the hole at the bottom of the cooler? Assume that the velocity of the water at the top of the cooler is zero. (Bernoulli’s Equation problem)

b. **Vertical Velocity Just Before Hitting the Ground**
- If the cooler is on a table and the hole is 1.15 m above the ground, what is the velocity of the liquid just before it hits the ground? (Conservation of Energy problem)

c. **Time to Hit the Ground**
- How long does it take for the liquid to hit the ground? (Projectile motion problem)

d. **Horizontal Distance Covered by the Stream**
- What horizontal distance from the container does the stream of liquid hit the ground? (Still a projectile motion problem)

#### Diagram Explanation

The provided diagram aids in visualizing the described problem:

- A large container (cooler) is depicted with a hole near its bottom.
- The height of the fluid above the hole (h) is 0.85 m.
- The height of the hole above the ground is 1.15 m.
- The horizontal component \( v_x \) represents the horizontal velocity of the fluid as it exits the hole.
- The vertical axis is annotated for clarity, showing the heights involved in the problem.

This visual representation helps in breaking down the problem into simpler parts related to fluid dynamics and projectile motion, allowing us to apply appropriate physical principles and equations.

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