### Weather Balloon Analysis#### Problem Statement:A spherical weather balloon is filled with hydrogen until its radius is 2.90 m. Its total mass, including the instruments it carries, is 21.0 kg.#### Questions:(a) **Find the buoyant force acting on the balloon**, assuming the density of air is 1.29 kg/m³.- **Answer:** ______ kN(b) **What is the net force acting on the balloon and its instruments after the balloon is released from the ground?**- **Answer:** ______ kN(c) **Why does the radius of the balloon tend to increase as it rises to higher altitude?**- Because the external pressure ______ with increasing altitude.#### Explanation of Concepts:- **Buoyant Force:** The force exerted by a fluid that opposes an object's weight. - **Net Force:** The overall force acting on an object when all forces are combined. - **External Pressure:** Decreases with altitude, causing the balloon to expand.

Given data- radius of balloon r=2.90 m total mass m=21.0 kg…

A spherical weather balloon is filled with hydrogen until its radius is 2.90 m. Its total mass including the instruments it carries is 21.0 kg. (a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m³. kN (b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground? kN (C) Why does the radius of the balloon tend to increase as it rises to higher altitude? Because the external pressure Select-v with increasing altitude.

A spherical weather balloon is filled with hydrogen until its radius is 2.90 m. Its total mass including the instruments it carries is 21.0 kg. (a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m³. kN (b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground? kN (C) Why does the radius of the balloon tend to increase as it rises to higher altitude? Because the external pressure Select-v with increasing altitude.

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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Question

### Weather Balloon Analysis

#### Problem Statement:
A spherical weather balloon is filled with hydrogen until its radius is 2.90 m. Its total mass, including the instruments it carries, is 21.0 kg.

#### Questions:

(a) **Find the buoyant force acting on the balloon**, assuming the density of air is 1.29 kg/m³.

- **Answer:** ______ kN

(b) **What is the net force acting on the balloon and its instruments after the balloon is released from the ground?**

- **Answer:** ______ kN

(c) **Why does the radius of the balloon tend to increase as it rises to higher altitude?**

- Because the external pressure ______ with increasing altitude.

#### Explanation of Concepts:

- **Buoyant Force:** The force exerted by a fluid that opposes an object's weight.

- **Net Force:** The overall force acting on an object when all forces are combined.

- **External Pressure:** Decreases with altitude, causing the balloon to expand.

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