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Question: The acceleration due to gravity, g, is given by
g = GM/r2,
where M is the mass of the earth, r is the distance from the center of the earth, and G is the universal gravitational constant.
(a) Show that when r changes by Δr, the change in the acceleration due to gravity, Δg, is given by
Δg ≈ -2g(Δr/r)
(b) What is the significance of the negative sign?
(c) What is the percent change in g when moving from sea level to the top of Pike's Peak (4.315 km)? Assume the radius of the earth is 6400 km.
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A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in. by 20 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the bo..
The monthly cost in dollars of a phone plan is a linear function of the calling time in minutes. The monthly cost for 40 minutes of calls is $14.18 and the monthly cost for 96 minutes is $19.22.
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Bill owns an oil well located 400m from a road. Bill wants to connect the well to a storage tank 1200m down the road from the well. It costs #35/m to lay pipe along the road and #50/m to lay it elsewhere. How should the pipeline be laid to minimiz..
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Strontium 90 is a radioactive material that decays according to the function A(t)=Ae^(-.0244t), where A is the initial amount present and A is the amount present at time t (years). What is the half-life of strontium 90? The answer is 28.4 years. H..
Show that the check digit of an RTN can detect all single errors and determine which transposition errors an RTN check digit can catch.
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