
(a)
Volume of the balloon
(a)

Answer to Problem 89P
Explanation of Solution
Given:
Density of air
Density of helium
Mass of skin of balloon
Weight of skin of balloon
Weight of the load
Force of buoyancy
Volume of the balloon
Formula Used:
Weight is given as
Force of buoyancy is given as
Calculation:
Weight of the skin of the balloon is given as
Weight of the helium in the balloon in downward direction is given as
Force of buoyancy on the balloon in upward direction is given as
Using equilibrium of force in vertical direction, we get the force equation as
Conclusion:
Hence,the volume of the balloon comes out to be
(b)
The initial acceleration of the balloon.
(b)

Answer to Problem 89P
Explanation of Solution
Given:
Density of air
Density of helium
Mass of skin of balloon
Weight of skin of balloon
Weight of the load
Mass of the load
Force of buoyancy
Volume of the balloon
Acceleration of the balloon
Formula Used:
Weight is given as
Force of buoyancy is given as
Mass is given as
According to Newton’s second law, we have
Calculation:
Weight of the skin of the balloon is given as
Weight of the helium in the balloon in downward direction is given as
Force of buoyancy on the balloon in upward direction is given as
Mass of the load is given as
Using the forces in vertical direction, the force equation as
Conclusion:
Hence, the initial acceleration of the balloon comes out to be
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Chapter 13 Solutions
Physics for Scientists and Engineers
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