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The earth's orbit is nearly circular, but not quite.The radial motion oscillates in a narrow range around the minimum of the effective potential Ueff.We call this radius r*. If this range is narrow enough, Ueff may be approximated as A(r-r*)^2 - B, so the radial motion is simple harmonic motion.a) Find the coefficient A in terms of the strength of the gravitational potential Gm1m2/r*.b) Find the period of the simple harmonic radial motion.c) Compare with the angular revolution time 2pi/ derivative phi .
A ring is fitted loosely (with no friction) around a long, smooth rod of length L = 0.561 m. The rod is fixed at one end, and the other end is spun in a horizontal circle at a constant angular velocity of ? = 3.57 rad/s. The ring has zero radial velo..
A water pipe narrows from a radius of r1 = 4.33 cm to a radius of r2 = 3.39 cm. what is the speed of the water in the narrower part
A woman is walking up a mountain trail at a constant speed. Whileshe is walking she ingests a candy bar that supplies 745 Cal ofenergy. The work she does while climbing results in an increase ofgravitational potential energy of 469 Cal.
In Figure 5-66, a force F of magnitude 7 N is applied to a FedEx box of mass m2 = 1.0 kg. The force is directed up a plane tilted by ? = 37°. The box is connected by a cord to a UPS box of mass 3.0 kg on the floor. The floor, plane, and pulley are fr..
The TGV, Frances' high-speed train, pulls out of the Lyons station and is accelerating uniformly to is cruising speed. What is the tension in the strap
A motorist travels at a constant speed of 35.5 m/s through a school zone, exceeding the posted speed limit. Find the time required to catch the car from the instant the car passes the policeman
A rocket is launched at an angle of 58.0° above thehorizontal with an initial speed of 97m/s. The rocket moves for 3.00 s along its initial line of motionwith an acceleration of 32.0m/s2. At this time, its engines fail and the rocketproceeds to mo..
An aluminum cylinder is suspended in an unknown fluid by a spring scale. Outside the fluid, the object weighs 20N. In the fluid it weighs 10N. what is the density of the fluid
Consider a wheel on a racing bicycle. If the wheel has a mass of 0040 kg and an angular speed of 15 rad/s, what is the rotational kinetic energy of the wheel
A refrigerator requires 10 J of work and exhausts 70 J of heat per cycle. What is the refrigerator's coefficient of performance
Scientist calls a theory that unites many ideas in a simple way "beautiful." Are unity and simplicity among the criteria of beauty outside of science? Help support the answer.
a rock is sliding alone a horizontal surface with a veolcity of 8.5 ms . it eventually stops due to friction. what is the power produced by the fricition
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