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The orbital period of Halley's Comet is calculated to be 75.5 years. Many other comets have orbits that extend much farther from the sun, and hence have much longer periods. At aphelion, a typical long-period comet is about from the sun; at perihelion, it passes inside the earth's orbit.
1. Estimate the orbital period of such a comet. Give your answer in years.
2. Estimate the speed of a typical long-period comet at perihelion. (Hint: At aphelion, the comet is moving very slowly.)
3. The massive nucleus of a comet contains about of material. If the earth were struck by a long-period comet, estimate the kinetic energy the comet would have just before impact. An impact of this kind apparently occurred 65 million years ago in the Yucatan, and is implicated in the demise of the dinosaurs as well as many other ancient species. (Hint: The motion of the comet is due primarily to the gravitational attraction of the sun, not the earth.)
A 30 gram dart is shot straight up at 8.0 m/s. At the same instant, a 26 gram ball of cork is dropped from 2.7 meter above the dart. Determine the speed of the cork ball
Explain how you could find the entropy of a diatomic ideal gas. You do not actually need to do the calculation, just explain, starting from first principles, how you could do it.
A series of small machine components being moved by a conveyor belt passes over a 140-mm-radius idler pulley. At the instant shown, the angular velocity of the idler pulley is 5 rad/s clockwise. If the total acceleration of point B is 2400 mm/s2, wha..
A glass vial filled with mercury vapor (4.88 eV between ground state and first excited state), is placed between the cathode and anode of a photoelectric effect apparatus. Assume that the glass is so thin that it will not reduce the energy of phot..
Resistance and Ohms Law
Calculate the capacitance of a capacitor whose plates a 20.0 cm by 3.0 cm and are separated by a 1.0mm air gap. What is the charge on each plate if the capacitor is connected to a 12.0 V battery
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Consider the sinusoidal wave of in the figure below with the wave function y = 0.150 cos (15.7x ? 50.3t) where x and y are in meters and t is in seconds. At a certain instant, let point A be at the origin and point B be the closest point to A along t..
A solenoid of radius 1.6 cm has 351 turns and a length of 10 cm.The permeability of a free space is 1.25664 × 10^?6 V · s/A · m. Find the rate at which current must change through it to produce an emf of 56 mV
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A student of weight 658 N rides a steadily rotating Ferris wheel (the student sits upright). At the highest point, the magnitude of the normal force FN on the student from the seat is 545 N. What is the magnitude of FN at the lowest point
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