Calculate the escape velocity to an orbit of 393 km height from a planet with the radius of 2000 km and the density of 3400 kg-m³. Give your answer in Sl units.
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- What is the gravity of Mars, if the mass of the planet is 6.39x1023kg and the radius of the planet is 3397.2 km? What problems would there be on a mission to Mars?Calculate the escape velocity to an orbit of 334 km height from a planet with the radius of 2000 km and the density of 3400 kg-m3. Give your answer in Sl units.(a) Based on the observations, determine the total mass M of the planet. (b) Which moon and planet of our solar system is the team observing? (Use literature.)
- (a) Calculate Jupiter's mass given the acceleration due to gravity at the north pole is 28.328 m/s² and the radius of Jupiter at the pole is 66,850 km. kg calculated M (b) Compare this with the accepted value of 1.898 x 1027 kg. Mcalculated M. acceptedYou are a rover pilot on the crew of the initial exploration team sent to Kepler 22b,the first extrasolar planet discovered within the habitable zone of a sun-like star. Thescience team recently discovered liquid water on the surface. (Hurrah!) Your rover isat point A on the shore of a circular lake with radius 4 km collecting samples. Thescience team wants to send your rover to a point C diametrically opposite A. Therover can drive around the circumference of the lake at a rate of 4 km per hour andfly over the lake at a rate of 3 km per hour.(a) How long will it take the rover to fly across the lake?(b) How long will it take the rover to drive around the shore of the lake?You could also fly at an angle θ along a chord inside the circular lake, andcomplete the rest of the path driving along the circumference of the lake.(c) Find the length of the chord in terms of θ. How long will it take the drone totraverse the chord?(d) Find the length of the remaining shoreline after the cord in…At an altitude of 160 km above the earth's surface, a 3-kg mass is pushed vertically upward with a velocity of 16,000 km/h. Using the radius of the earth equal to 6357 km, calculate the maximum distance from the earth's surface reached by the mass. Present your answer in km using 4 significant figures.
- Chapter 5, Section 5.8, Question 32 Determine the length of a rectangular trench you can dig with the energy gained from eating one Milky Way bar (270 cal). Assume that you convert the energy gained from the food with 5% efficiency and that the trench is 7 meters wide and 1 meter deep. Use the fact that the density of soil is 1000 kg/m³ and the acceleration due to gravity is 9.81 m/s². Round your answer to two decimal places. The length of the trench is the tolerance is +/- 2% Click if you would like to Show Work for this question: Open Show Work LINK TO TEXT meters.A planet as a radius “R” and density “P”. The escape velocity of this planet is _____ a) directly proportional to P b) inversely proportional to P c) directly proportional to P1/2 d) inversely proportional to P1/2You decide to go on an interstellar mission to explore some of the newly discovered extrasolar planets orbiting the star ROTOR. Your spacecraft arrives in the new system, in which there are five planets. ROTOR is identical to the Sun (in terms of its size, mass, age and composition). From your observations of these planets, you collect the following data: Density Average Distance from star (AU] Planet Mass Radius Albedo Temp. [C] Surf. Press. MOI Rotation [Earth = 1] (Earth = 1] [g/cm³] [Atm.] Period (Hours] Factor SIEVER EUGENIA 4.0 0.001 2.0 0.1 5.0 1.0 0.3 20 0.8 N/A 3.0 0.2 N/A 0.3 0.4 0.35 20 10 500 1000 5.0 4.0 0.5 0.8 0.4 0.7 -50 MARLENE CRILE 1.0 1.0 3.0 8.0 1,5 0.0 0.50 0.50 0.25 150 0.4 JANUS 100 12 0.1 10 -80 0.2 200 Figure 1: А Rotor 850 890 900 Wavelength (nm) A Sun В C 860 900 910 Wavelength (nm) 2414 a as
- A submersible robot is exploring one of the methane seas on Titan, Saturn's largest moon. It discovers a number of small spherical structures on the bottom of the sea at depth of 10 meters [m], and selects one for analysis. The sphere selected has a volume of 1.9 cubic centimeters [cm3] and a density of 2.25 grams per cubic centimeter [g/cm3]. When the rock is returned to Earth for analysis, what is the weight of the sphere in newtons [N]? Gravity on Titan is 1.352 meters per second squared [m/s2]. The density of methane is 0.712 grams per liter [g/L] The weight of the sphere is ____ N.Calculate the escape velocity to an orbit of 214 km height from a planet with the radius of 2000 km and the density of 3400 kg·m-3Consider a fictitious planet (symbol ⊗ ) orbiting the Sun at a distance of 3 AU, with a mass of M⊗ = 8 M⊕ , radius of R⊗ = 2 R⊕, and an albedo of A⊗ = 0.50 (1) Compute the equilibrium temperature of the planet.