You are holding a shopping basket at the grocery store with two 0.55-kg cartons

Question

You are holding a shopping basket at the grocery store with two 0.55-kg cartons of cereal at the left end of the basket. The basket is 0.86 m long. Where should you place a 1.8-kg half gallon of milk, relative to the left end of the basket, so that the center of mass of your groceries is at the center of the basket? My answer is 0.472m, but it differs from correct answer by more than 10%. Could you help me to solve this question?
You are holding a shopping basket at the grocery store with two 0.55-kg cartons of cereal at the left end of the basket. The basket is 0.86 m long. Where should you place a 1.8-kg half gallon of milk, relative to the left end of the basket, so that the center of mass of your groceries is at the center of the basket? My answer is 0.472m, but it differs from correct answer by more than 10%. Could you help me to solve this question?
My answer is 0.472m, but it differs from correct answer by more than 10%. Could you help me to solve this question?

Explanation / Answer

let x be distance from centre to right where the object is placed

1.8 * x = (2*0.55) * 0.86 / 2

solving for , x = 0.2627 m

and from left most end, distance = 0.86 / 2 + 0.2627

= 0.6927 m <=======Answere

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