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One trajectory that can be used to send spacecraft from Earth to Mars is an elliptical orbit that has Sun at one focus, its perihelion at Earth, and its aphelion at Mars. The spacecraft is launched from Earth and coasts along this ellipse until it reaches Mars, when a rocket is red to either put the spacecraft into orbit around Mars or cause it to land on Mars
a: Find the semimajor axis of the ellipse. (Hint: Draw a picture showing Sun and the orbits of Earth, Mars, and the spacecraft. Treat the orbits of Earth and Mars as circles.)
b: Calculate how long (in days) such a one-way trip to Mars would take
a thin film of alcohol (n=1.36) lies on a flat glass plate (n=1.54). when monochromatic light, what is the thickness of the film
illustrate what minimum projection angle would achieve this result? What maximum pro- jection angle would achieve this result?
A light source emits two spectral lines: one at 528 nm and one at 667 nm. what is the distance between the two spectral lines in the first order spectrum
Two charged spheres are 19 cm apart. They are moved, and the force on each of them is found to have been quadrupled. How far apart are they now.
An ideal spring of negligible mass is 13.00 long when nothing is attached to it. When you hang a 3.00- weight from it, you measure its length to be 14.50 .If you wanted to store 10.0 of potential energy in this spring, what would be its total leng..
How many kilometers per liter will a car obtain if its engine is 25 percent efficient and it encounters and average force of 1000 Newtons? Suppose the energy content of gasoline is 40,000,000 joules per liter (J/L).
To get the top spinning, its string is pulled with a tension of 0.30. Explain how long does it take for the top to complete the first five revolutions? The string is long enough that it is wrapped around the top more than five turns.
A father (m = 65 kg) and son (m = 38 kg) are standing facing each other on a frozen pond. The son pushes on the father and finds himself moving backward at 3.0 m/s after they have separated. How fast would the father be moving.
A person desires to reach a point that is 3.40 km from her present location and in a direction that is 350 north of east. However, she must travel along streets that are oriented either north-south or east-west. What is the minimum distance she mi..
A spherical balloon has a radius of 6.95 and is filled with helium. The density of helium is0.179, Determine the largest mass of cargo the balloon can lift
When driving west toward the Rocky Mountains, you see a peak 2.8 above the horizon. Your GPS gives your current elevation as 1500 , and according to the map, you're 22.5 (horizontally) from the peak. Find the peak's elevation. Express your answer ..
What is the acceleration of two falling sky divers. Some European trucks run on energy stored in a rotating flywheel, with an electric motor getting flywheel up to its top speed of 440 π rad/s. One such flywheel is a solid, uniform cylinder with a ..
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