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Question
1. Write a general expression of the flux f received from the Sun as a function of luminosity of the Sun L, distance from the Sun r and the zenit distance z (angle between the zenit and the line of sight to the Sun).
2. Compute the fractional change in f due to the variations in r for the Earth (as in the ratio between f at perihelium and f at apohelium, for the same z). Also calculate the fractional change in f due to variation in z at noon (such as for the days when the Sun is highest and lowest in the sky when it crosses the meridian; keep r fixed and assume Northern latitude 45?). Are your results consistent with statement above that an inclination of the Earth's axis to the orbit is more significant for causing seasons?
3. At present repeat the above calculation for Mercury, Mars, Jupiter, and Uranus. Which result dominates for each of these planets?
4. Although teaching "astronomy for poets", I often encountered the misconception that seasons are due to one hemisphere of the Earth being closer to the Sun than the other. Show that this has negligible effect.
The space shuttle is in a 400km - high circular orbit. It needs to reach a 700 km -high circular orbit to catch the Hubble Space Telescope for repairs. how much energy is required to boost it to the new orbit
A large water tank has an inlet pipe and an outlet pipe. The inlet pipe has a diameter of 2.05 cm and is 2.15 m above the bottom of the tank. What is the gauge pressure in the outlet pipe
On a spacecraft, two engines are turned on for 658 s at a moment when the velocity of the craft has x and y components of velocity v0x = 4115 m/s and v0y =5135 m/s, Find the x and ycomponents of the craft's acceleration
Your expression should give 3.0 m/s for and your answer to part A for theta. Express your answer in terms of theta. Sketch a graph of v versus theta for one complete revolution.
A straight, stiff wire of length 1.00 m and mass 21g is suspended in a magnetic field B = 0.58T. The wire is connected to an emf. How much current must flow in the wire and in what direction so that the wire is suspended and the tension in the sup..
Pool players often pride themselves on their ability to impart a large speed on a pool ball. At what speed did his pool ball hit the ground
Suppose an ideal gas is in a container 3L in volume and allowed to expand by having a piston move. The final volume after the piston moves is 15L. If the gas is at first at a pressure of 1×10^5 Pa and a temperature of 300 K, and temperature is mai..
It is possible to calculate the maximum possible potential (relative to infinity) in air of a metal sphere of 19 cm radius. First, what is the most charge you can put on this sphere.
Consider a 1-D NaBr lattice. The frequency at the optical mode at k=pi/a is f=10.1THz. find the frequency for the optical mode at band center (k=0)
A ship's anchor weighs 5000 N. Its cable passes over a roller of negligible mass and is wound around a hollow cylindrical drum of mass 380kg and radius 1.10m. The drum is mounted on a frictionless axle. The anchor is released and drops 16 m to water.
A fullback with a mass of 105 kg and a velocity of 2.5 m/s due west collides head-on with a defensive back with a mass of 70 kgand a velocity of 4.0 m/s due east. What is the initial momentum of each player
Using the equation F=m v^2/r for a force an object in circular motion. Find the radius r of motion of a m=1.6 kg ball travelling in a circular path acted upon by a centripetal force F=7N.
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