Imagine playing baseball in a universe (not ours!) where the Planck constant is 0.70 J·s. What would be the uncertainty in the position of a

Question

Imagine playing baseball in a universe (not ours!) where the Planck constant is 0.70 J·s. What would be the uncertainty in the position of a 0.55 kg baseball that is moving at 22 m/s along an axis if the uncertainty in the speed is 0.5 m/s? Number Enter your answer in accordance to the question statement Units Choose the answer from the menu in accordance to the question statement

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Verity 4 years 2021-07-20T10:08:46+00:00 1 Answers 42 views 0

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  1. minhkhoi
    0
    2021-07-20T10:10:13+00:00
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    Answer:

    The uncertainty the  in position is  \delta s = 0.4051 m

    Explanation:

    From the question we are  told

       The planck’s constant is h = 0.70 \ J \cdot s

      The mass of the baseball is  m = 0.55kg

       The velocity of the baseball v_b = 22 m/s

        The uncertainty in \delta v = 0.5 m/s

       

    Generally the uncertainty of  momentum is  

            \delta p = m \delta v

     substituting values

            \delta p = 0.275 \ kg m/s

    The uncertainty position is mathematically represented as

                 \delta s = \frac{h}{2 \p \delta p }

     substituting values  

               \delta s = \frac{0.70}{2 * 3.142 * 0.275 }

               \delta s = 0.4051 m

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