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An emergency supply ship is being sent from earth orbit around the sun (circular orbit around the sun with a radius of 1 AU) to Mars using a hyperbolic transfer orbit. The hyperbolic orbit has a periapsis radius R_p of 1 AU and hyperbolic excess energy of 300 km^2/s^2. Assume the ship has already escaped from earth.
The nuclear thermal rocket has a specific impulse of 900 s and thrust of 30000 N. The vehicle structural mass M_s is 1000 kg and payload mass M_L is 1000 kg.
a) sketch the orbit transfer, label 2 trajectories, noting location and direction of velocity change delta V
B) what is the delta v
C) what are the initial mass, burn out mass and propellant mass used.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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