Concept explainers
a. How much buoyant force acts on a 1-N balloon suspended at rest in air?
b. What happens if the buoyant force decreases?
c. What happens if the buoyant force increases?
(a)
The buoyant force acts on a balloon.
Answer to Problem 16A
The buoyant force acts on a balloon is
Explanation of Solution
Given:
The weight of the balloon is
Formula used.
The expression for buoyant force is,
Here,
Calculation:
Consider the balloon is at rest. Hence, the net force acting on the balloon is zero.
Since the balloon is at rest, the buoyant force is equal to the weight of the air displaced.
The buoyant force is,
Conclusion:
Thus, the buoyant force is
(b)
To explain: The effect on balloon if buoyant force decreases.
Answer to Problem 16A
The balloon moves down when the buoyant force decreases.
Explanation of Solution
Introduction:
The expression for buoyant force as follows:
Here,
An object which is less dense in comparison to the surrounding air will rise upward.
A gas filled balloon moves down in the air as its density is less than the air surrounding the balloon. Buoyant force increases, then the balloon moves up.
When the buoyant force decreases, then the balloon moves down.
Conclusion:
Thus, the balloon moves down when the buoyant force decreases.
(c)
To explain: The effect on balloon if the buoyant force increases.
Answer to Problem 16A
The balloon moves up when the buoyant force increases.
Explanation of Solution
Introduction:
The buoyant force is
Here,
An object which is less dense in comparison to the surrounding air will rise upward.
A gas filled balloon rises in the air as its density is less than the air surrounding the balloon.
When the buoyant force increases, then the balloon moves up.
Conclusion:
Thus, the balloon moves up when the buoyant force increases.
Chapter 20 Solutions
Conceptual Physics: The High School Physics Program
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