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Suppose a duck lives in a universe in which h = 2? J Solution According to the U

ID: 2199949 • Letter: S

Question

Suppose a duck lives in a universe in which h = 2? J

Explanation / Answer

According to the Uncertainty Principle: ?x*?p > ?/2......... ? = h/2?............... Since h = 2?J*s, ? = h/2? = 2?J*s / 2? = 1 J*s............. Thus the Uncertainty Principle in Fuzzy's Universe is........... ?x*?p > 1/2 J*s................. a) From the initial conditions: ?x = 1.65 m ........... ?p = m?v = 2.55kg * ?v .......... Given: ?x*?p > 1/2 J*s............. 1.00 m * 2.55kg * ?v > 1/2 J*s.............. ?v > 1/2 J*s / (1.65 m * 2.55kg) ?v >0.1188 m/s.............. b) ?x*?p > 1/2 J*s.......... ?p = m*?v =2.55kg *0.1188 m/s = 0.500 m*kg/s............ ?x > 1/2 J*s / ?p............... ?x > 1/2 J*s / 0.500 m*kg/s.................... ?x > 1.00 m

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