How to Grow a Sustainable Garden""Growing a Sustainable Garden: Tips & Tricks

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Growing a sustainable garden involves understanding the principles of pressure and density distribution in soil, which can impact plant health. Utilizing organic materials and compost enhances soil fertility and structure. Implementing crop rotation and companion planting can improve biodiversity and reduce pests naturally. Water conservation techniques, such as rainwater harvesting and drip irrigation, are essential for sustainability. Overall, applying these methods fosters a healthier ecosystem and promotes long-term gardening success.
ambarish
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Homework Statement
A cylindrical beaker is held at rest with its bottom horizontal and inside it, a large number of identical elastic balls are moving up and down continuously colliding with each other and with the bottom. In this way, the balls fill the beaker up to 750 ml mark. At some random moment, the beaker is made to mnove downwards with an acceleration 0.5g. Here g denotes the acceleration due to gravity. What fraction of total number of balls will now fill the beaker up to 1125 ml mark?
Relevant Equations
Probably Boltzmann equation but I have no idea at all.
Doubt balls.png
 
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I think it is just about pressure and density distribution in a gas under gravity. See what you can do with that.
Per forum rules, you must show some attempt.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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