Aspacecraft in a trapped orbit is observed to be at an altitude of 1000 km with a velocity of 10.3 km/s. the velocity vector is orthogonal to the radius vector (from the center of the earth).

a. find the specific energy, semi-major axis, eccentricity, and the parameter.
b. find the specific kinetic energy, potential energy, and angular momentum at perigee and apogee.
c. find the altitude and velocity of the spacecraft at its furthest position from earth.
d. given that the average earth-moon distance is 385,000 km, what type of maneuver might this orbit be classified as? hint: search online for maneuvers.
e. assume the moon is in a circular orbit around the earth with a period of 27.3 days. what is the phase angle, that is, the angle between the spacecraft and the moon relative to earth at the time of the first burn to ensure a successful rendezvous?
f. suppose the spacecraft starts at the same altitude and has the same velocity direction as given in the problem statement. determine the range of speeds that would place this spacecraft on a ballistic trajectory with the earth (i. e. spacecraft impacts the surface). ii. determine the minimum speed that would place this spacecraft on an escape (e. g., interplanetary) trajectory

You have been consulted by the mobile phone company hookup about a new augmented reality product called “brows”. they want to develop an alternative to google glasses, which, you recall, is a proposed new product which plans to superimpose a whole range of wireless google services over the user’s ordinary vision of the world. these appear in little circles and ovals, and let you phone people, take photographs, navigate across cities and inside buildings, find shops and update your social media. brows would do this too, but not be limited to special google services. the user would wear a small cylinder-shaped device designed to fit on top of their existing eyewear (glasses or sunglasses). it would project a reversed image onto the inside of the lenses, the reflection of which would be in focus for the user. instead of voice control, the user would control the device by eye and neck movements, which the device would track. the device would connect via bluetooth to the user’s phone, which would supply most of the computing power and wireless connectivity. hookup also wants to know what existing services would be most in demand, and which would not work well with brows. using your knowledge of augmented reality, wearable technology and interface design, is the project feasible? if not, why not? if feasible, how could the product need to be modified for a better experience?

If a stone with an original velocity of 0 is falling from a ledgeand takes 8 seconds to hoybthe ground whays the final velocity of the stone

1700 j of energy is lost from 0.14 kg object , the temperature decreases from 50°c to 45°c what is the specific heat of this object, amd what is the material ?