Problem 3. A tracking station determines that an Earth-observation satellite has perigee and apogee altitudes of 350 and 1,206 km, respectively. Determine the orbital period (in minutes) and the parameter p.
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- 2. Integrate the equations of motion for a spherical pendulum, i.e., a particle of mass m moving on the surface of a sphere of radius / in a gravitational field, with Lagrangian L = ml² -(0² + psin² 0) + mglcos 0. 2 Hint: Merely set up the integrals, do not evaluate them. You should obtain two integrals w.r.t. de: one determining t and another determining p. Express the first integral in terms of E,Ueff, m, and l. Express the second integral in terms of E,U eff, m, l, and M₂.An 800 kg satellite orbits Earth and take one day for complete orbit. Earth has a radiu 6,372 km and a mass of 5.972 x 10^24. A. If the radius of orbit is constant, find the altitude of the satellite above Earth's surface. B. Find the orbital speed of the satellite C. The satellite suddenly turns off, stops moving and heads straight towards the surface of Earth. At what speed will the satellite crash into the Earth's surface? (Hint: Use energy conservation)An exotic planet Vogsphere is known to have a mass that is 1/81 that of the Earth and a radius 0.25 that of the Earth. Astrophysicist Trillian built a rocket and decided to leave the planet and never to return. Given that the escape speed from the Earth is 11.2 km/s, with what speed must Trillian achieve his goal?
- 14.) A hypothetical planet has a radius 2.1 times that of Earth, but has the same mass. What is the acceleration due to gravity near its surface? Express your answer to two significant figures and include the appropriate units. gplanet= ____________ ______________ 15.) A 1400-NN crate rests on the floor. a.) How much work is required to move it at constant speed 5.0 mm along the floor against a friction force of 330 NN . Express your answer to two significant figures and include the appropriate units. Wp= ____________ _____________ b.) How much work is required to move it at constant speed 5.0 mm vertically. Express your answer to two significant figures and include the appropriate units. Wp= _____________ ______________B) what is the period of the orbit, in hours?The orbit of a planet around the sun is : O A. hyperbolic. O B. parabolic. OC. elliptic. OD. circular.
- Let the radius of the Earth be R, and we approximate the Earth as a sphere. In order for an object to glide along the equator of the Earth at sea level, what is the speed at which it needs to be moving? gR gR VgR O (gR)?5. A satellite has an orbital radius 100 km above the Earth's surface. See #4 for a. What is the speed of the satellite? b. How many minutes does it take the satellite to complete one orbit? t.docx 787 Ke vewBased on Kepler's laws and information on the orbital characteristics of the Moon, calculate the orbital radius for an Earth satellite having a period of 1.00h. What is unreasonable about this result?
- Part B- Calculations 1. A satellite has an orbital diameter of 2.40 x 10 km above the surface of the earth. If it tasks the satellite 346 minutes to complete its orbit three times, what is the velocity of the satellite?An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon takes 1810 × 103 seconds (about 21 days) on average to complete one nearly circular revolution around the unnamed planet. If the distance from the center of the moon to the surface of the planet is 255.0 × 106 m and the planet has a radius of 3.30 × 106 m, calculate the moon's radial acceleration ?cac.12