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 lon

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

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  1. Answer:

    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.

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