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Question: If M is the mass of the earth and G is a constant, the acceleration due to gravity, g, at a distance r from the center of the earth is given by
g = GM/r2
(a) Find dg/dr.
(b) What is the practical interpretation (in terms of acceleration) of dg/dr? Why would you expect it to be negative?
(c) You are told that M = 6·1024 and G = 6.67·10-20 where M is in kilograms and r in kilometers. What is the value of dg/dr at the surface of the earth (r = 6400 km)?
(d) What does this tell you about whether or not it is reasonable to assume g is constant near the surface of the earth?
you have to perform a reliability analysis of the downtime data. arithmetic reduction of age analysis on the
The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years old than P, what willbe the ratio of the ages of P and Q after 4 years?
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due to the variation of environmental conditions and imperfections in the measurement method a single measurement will
Find the critical value at the 0.05 level of significance for a goodness of fit test if there are 6 categories?
The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five number summary for prices based on a sample of major US airlines was:
Determine whether the following disputes are verbal, factual, or some combination of the two. If verbal, discuss whether the dispute arises from vagueness or ambiguity.
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A cup of coffee at 187 degrees is poured into a mug and left in a room at 70 degrees. After 4 minutes, the coffee is 133 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-70).
Use the distributive property to remove parentheses and simplify the expression.
Assume that advanced students would average 93% on an achievement test and that regular students would average 75% on it.
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