An object is orbiting earth at a height of 100 km from the surface. What's the period? Gravitational Constant, G = 6.673 x 10-11 Newtons kg-2 m2 Mass of the Earth, Me = 6 x 10²4 kg Radius of the Earth, R 6400 km Note: Your answer should be in second. Round the answer to two decimal places.
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Q: Question 18
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- 9.) Please help with equation, gravity is g= 9.81 m/sec^2 or 32.2 ft/sec^233. If you are at the top of a tower of height h above the surface of the earth, show that the distance you can see along the surface of the earth is approximately s = v2Rh, where R is the radius of the earth. Hints: See figure. Show that h/R = sec 0 – 1; find two terms of the series for sec 0 = 1/ cos 0, and use s = RO. _Thus show that the distance in miles is approximately v3h/2 with h in feet. RİThe planet Pluto has an equatorial diameter of 1,188.3 km and its mass is 1.30900 * 1022 kilograms. If the planet is modeled as a homogeneous sphere, what is the acceleration due to gravity at its surface? (The universal gravitational constant is G = 6.67 x 10-11 N-m²/kg?.) Answer in 3 decimals and in m/s2
- A man is standing on the moon. His mass is 100 kg. The mass of the moon is 7x10^22 kg. The radius is 3.8x10^5 km. How much is the gravitational force between the man and the moon?A new planet is discovered orbiting a distant star. Observations have confirmed that the planet has a circular orbit with a radius of 12 AU and takes 117 days to orbit the star. Determine the mass of the star. State your answer with appropriate mks units. [NOTE: AU ..stands.for...astronomical unit". It is the average distance between Earth & the Sun. 1 AU≈ 1.496 x 1011 m.] Enter a number with units. I be quite large and your calculator will display the answer as a power of 10. If, as an example, your answer was 8.54 x 1056, you would type "8.54e56" into the answer box (remember to state your units with your answer).]Consider the Earth's orbit around the Sun to be circular with radius R = 9.30 x 107 mi and it takes 365 days to complete one revolution. What is the distance Earth traveled for one revolution (circumference of a circle is 2??2πR )?
- 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.The moon on Mars Phobos ( Fear) and Deimos ( Terror) are very close to the planet compared to Earth's Moon. Their orbital radii are 9,376 km and 23,463.2 km respectively. A) what is the orbital speed of Phobos to that of Deimos? B) If the period of Phobos orbits 7hr 39.2 min, what is the mass of Mars? C) Calculate the orbital period of Deimos.
- A planet of mass ?=2.85×1024 kg orbits a star of mass ?=6.85×1029 kg in a circular path. The radius of the orbit is ?=7.45×107 km.. What is the orbital period ?planet of the planet in Earth days?Tplanet = ? days2. The planet Jupiter has an orbital period of 4332.8 days, and its greatest distance (aphelion distance) from the Sun is 5.455 AU {where 1 AU = 1 Astronomical Unit = 1.496x10'' m}. The mass of the planet Jupiter is 1.898x1027 kg and the mass of the Sun is 1.988x1030 kg. {G = 6.67x10'" Nm/kg?) (a) Calculate the perihelion distance (closest distance) in Astronomical Units (AU) of the planet Jupiter from the Sun. (b) Calculate the eccentricity of planet Jupiter's orbit around the Sun. (c) Calculate the smallest speed of planet Jupiter around the Sun in km/s. At what point in Jupiter's orbit does Jupiter have its smallest speed?Kepler’s Law relates the period T ( in a sec) of a satellite to the distance from the center of the earth r (in m) to some physical constants as shown: T2 = (2π/ G ME) r3 Where G = Universal Constant of Gravitation and ME is the mass of the earth. A stationary satellite is one that circles the earth in a circular orbit but stays exactly above the same spot on the earth. Calculate the distance above the earth in m for this “geo-synchronous satellite” to orbit, then convert that height to miles.