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“ The position of a 0.26-kg air-track cart is determined

Chapter 30, Problem 72P

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QUESTION:

Problem 72P

“ The position of a 0.26-kg air-track cart is determined to within an uncertainty of 2.2 mm. What speed must the cart acquire as a result of the position measurement?

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QUESTION:

Problem 72P

“ The position of a 0.26-kg air-track cart is determined to within an uncertainty of 2.2 mm. What speed must the cart acquire as a result of the position measurement?

ANSWER:

Step 1 of 3

When the position of a cart is measured with a specific accuracy, the Heisenberg uncertainty principle requires that the momentum must also have a minimum uncertainty.

Given values are,

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