You are holding a shopping basket at the grocery store with two 0.60 kg cartons of cereal at one end of the basket. The basket is 0.77 m long. Where should you place a half gallon of milk (1.8 kg) so that the center of mass (COM) of your groceries is at the center of the basket

The gallon of milk is placed at a distance of 0.641 meters.

Explanation:

We have,

Mass of two 0.6 kg cartons of cereal is 1.2 kg

Length of the basket, l = 0.77 m

Center of the basket is 0.385 m

Mass of the half gallon of milk is 1.8 kg

Total weight in the basket is 1.2 + 1.8 = 3 kg

We need to find the position of the gallon of milk so that the center of mass (COM) of your groceries is at the center of the basket.        

So,

(3 × 0.385) = (1.2 × 0) + (1.8 × x)

1.155 = 1.8 x

x = 0.641 meters

So, the gallon of milk is placed at a distance of 0.641 meters.

part 1: which substance has a higher solubility?

a

smallest amount left undissolved atall temps in table shown most has dissolved high sol'by

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

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