# Solution Of Physics Manual

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It is a fairly common practice to give an extra digit when the last signiﬁcant digit is21. The hectare is a unit of land area deﬁned to equal exactly 10,000 square meters, and the acre is a unit of land area deﬁned so that 640 acres equals exactly one square mile. Find the number of square meters in 1.000 acre, and ﬁnd the number of acres equivalent to 1.000 hectare. 1.000 acre = × (5280 ft)2 640 0.0254 m 1 in 12 in 1 ftsolutions manual for introduction statistical physics (draft)

It is instructive to draw graphs of pG (N1 ) versus N1 for some values of N . In the …gure, we show some graphs of PN (N1 ) versus N1 =N . 3- Obtain an expression for the third moment of a binomial distribution. What is the behavior of this moment for large N ? *** Using the tricks introduced in the text, it is easy to see that (N1 hN1 i)3 = N pq (q p) : Note that ( N1 )3 = 0 for p = q (same probabilities). Also, note the dependence of ( N1 )3 on N , so that ( N1 )3 ( N1 )2 for large N . 4- Consider an .physics solutions manual

b. If the ball on Jupiter were thrown with an initial velocity that is three times greater, how would this affect your answer to part a? With vf ϭ 0, the value df is directly proportional to the square of initial velocity, vi. That is, df ϭ vf2 Ϫ ᎏᎏ. 2g On Earth, an initial velocity three times greater results in a ball rising nine times higher. On Jupiter, however, the height of nine times higher would be reduced to only three times higher because of df’s inverse relationship to a g that is three times .physics solutions manual

The mass of the rock depends only on the amount of matter in the rock, not on its location in the universe. The path would still be a parabola, but it could be much wider because the rock would go farther before it hits the ground, given the smaller acceleration rate and longer time of flight.If the thrower accidentally drops the rock on her toe, will it hurt more or less than it would on Earth? Explain. Assume the rocks would be dropped from the same height on Earth and on the Moon. It will hurt less .
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