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The acceleration due to gravity, g, is given by
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
(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.
A rectangular loop of wire with width 0.4 cm and length 0.6 cm is oriented with the normal to the face of the loop, Find the magnetic flux through the loop
The potential difference between the plates of a capacitor is 242V. Midway between the plates; a proton and an electron are free. The electron is released from rest.
Determine the speed of a 1.00 x 106 kilogram particle of dust that has the same momentum as a proton moving at 0.999c
A lens with an index of refraction of 1.60 is to be coated with a material (n = 1.39) that will make the lens nonreflecting for yellow-orange light (? = 515 nm) normally incident on the lens
On an airplane's takeoff, the combined action of the air around the engines and wings of an airplane exerts a 8360 N force on the plane, directed upward at an angle of 56.0° above the horizontal.
The 10th and 18th terms of an arithmetic progression are 41 and 73 respectively. Find the 27th term.
What is the average speed of a rider on this Ferris wheel.
The rms current in an ac circuit with a resistance of 170 ohms is 0.90A. What is the average power consumed by this circuit
A 7.80-g bullet moving at 600 m/s penetrates a tree trunk to a depth of 5.60 cm. find the average frictional force that stops the bullet
Two small objects are hung, from a point, on strings 50 cm long. they each have mass .06 grams and are given equal charge, What is the magnitude of the charge on each object
A 12-turn generator coil with area 0.150m2 rotates in a 1.25T magnetic field. At what frequency should the coil rotate to produce a peak emf of 160
A horizontal incident beam consisting of white light passes through an equilateral prism. What is the dispersion (thetaV -thetaR) of the outgoing beam
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