Voyager 1 and Voyager 2 surveyed the surface of Jupiter’s moon Io and photographed active volcanoes spewing liquid sulfur to heights of 70 km above the surface of this moon. Find the speed which the liquid sulfur left the volcano. Io’s mass is 8.9 x 10^(22 )kg, and its radius is 1820 km.

Q: A spherical planet has an outer radius R; its density p varies as a function of distance r given by…

A: Given data: The density function is, ρr=3-2r2R2.

Q: If Martians want to launch a geostationary satellite (more accurately, "Aerostationary") to study…

A:

Q: The mean diameters of planets A and B are 9.8 x 103 km and 2.6 × 104 km, respectively. The ratio of…

A: diameter of A = 9800 km diameter of B = 26000 km mass of Amass of B = mAmB = 0.93

Q: Scientists have discovered a distant planet with a mass of 7.8x1023 kg. The planet has a small moon…

A: Mass of planet=7.8×1023kg Time of orbit= 7h25m=420+25=445 minutes   Objective- To find radius of…

Q: Mass mrests on a smooth horizontal surface, mp hangs vertically. Part A If mA = 12.0 kg and mp=3.0…

A:

Q: Mars has a radius of 3 390 km and a mass of 6.4 X 10^23 kg. A space probe carrying Vikings 1 Lander…

A:

Q: A crew capsule is returning from the ISS, whose orbit is circular with radius Re + 400 km. Prior to…

A: The capsule is coming to the smaller parking orbit from the ISS orbit. Hence, the energy of the…

Q: what is the weight of the sphere in newtons​ [N]

A:

Q: Calculate the escape velocity from the surface of a world with mass 2.80 x 1024 kg and radius 6.50 x…

A:

Q: The average density of the planet Mercury in 5.61 * 10^3 kg/m^3. The acceleration of gravity on its…

A: Given: Average density of mercury planet , ρ=5.61×103 kg/m3 Gravitational acceleration on planet…

Q: Two celestial bodies whose masses are m1 and m2 are revolving around their common center of mass and…

A: As gravitational force is equal to the centripetal force, The angular speed is given by, The time…

Q: A huge cannon is assembled on an almost airless planet. The planet has a radius of 5 x 10^6 m and a…

A: Given information: The Radius of the planet (R) = 5 x 106 m The mass of the planet (M) = 2.6 x 1024…

Q: escape velocity

A:

Q: Imagine a particular exoplanet covered in an ocean of liquid methane, At the surface of the ocean,…

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Q: The star Sirus A has a mass of 2.06 MO and a radius of 1.71 RO, where M0 is the mass of the Sun…

A:

Q: The mass of a planet is about 71% of the mass of Jupiter with the same radius. What is the…

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Q: The asteroid 243 Ida has a mass of about 4.0×1016kg4.0×1016kg and an average radius of about 16 kmkm…

A:

Q: Imagine a particular exoplanet covered in an ocean of liquid ethane. At the surface of the ocean,…

A: Atmospheric pressure = 9.00 ✕ 104 Pa force on  a disk-shaped region 2.00 m in radius at the surface…

Q: A planet has a mass of M1, a radius of R1, and a density of ρ1. A second planet has a mass of M2, a…

A:

Q: Suppose an asteroid named Sparty has been discovered revolving around the Sun on a circular orbit…

A: Here, the gravitational force acts as centripetal force So: mv2R=GMmR2i.e.v=GMRAnd also as v=2πRT…

Q: The escape speed from a distant planet is 33 km/s. If the acceleration of gravity on the planet…

A: Let us consider the escape velocity to be vesc. The required  velocity to cross a distance equal to…

Q: Calculate the magnitude of the gravitational attråct between the particle and Neptune to three…

A: Gravitational force between two masses  F = Gm₁m₂/r²

Q: Two planets have density in the ratio 2:3 and madii in the ratio 1:2 Then the ratio of acceleration…

A: To find-g1g2=?Given-ρ1ρ2=23, r1r2=12

Q: Calculate the escape velocity to an orbit of 243 km height from a planet with the radius of 2000 km…

A:

Q: What is the force between the Sun with a mass of 1.99 x 10^30 kg and the planet Uranus with a mass…

A: Given data:  Mass of sun (m1) = 1.99×1030 kg Mass of Uranus (m2) = 8.73×1025 kg Distance (r) =…

Q: A number of gas giant planets orbiting other stars at distances less than 1 A.U. have been…

A: Hey there, since you have asked multiple questions we have solved the first three for you. Please…

Q: NOTE: Your answer suggests that you have assumed constant gravitational

A: Explained as, F=-GMMR+y2

Q: 2. You are on an unknown planet whose mass is 9.2 x 10²kg. It's sun has a mass of 1.4 x 1035 kg,…

A: When you are on a planet and orbiting the Sun, the weight will be equal to the gravitational force.

Q: What multiple of the energy needed to escape from Earth gives the energy needed to escape from (a)…

A: Given  Mass of earth = Me = 5.98*10²⁴ kg Mass of moon = Mm = 7.36*10²² kg Mass of Jupiter = Mj =…

Q: Imagine a particular exoplanet covered in an ocean of liquid ethane. At the surface of the ocean,…

A:

Q: The radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that…

A: Given, Rh = 2GM/c2 a. Gravitational acceleration is given byag=Gmr2dag=2Gmr3drSince, h<<48…

Q: The specific gravity of honey is 1.45. A cylindrical container of honey 10 feet [ft] deep is inside…

A: Specific gravity = density of honey /density of water=1.45 We know that density of water =…

Q: n asteroid has a radius of about 7.5 km. Assuming that the density of the asteroid is the same as…

A: Page 1

Q: C) ESA wants to send a satellite to Jupiter to investigate its internal structure and origin by…

A: Here's the explanation based on the theory behind the calculations:Escape Velocity:Every object…

Q: Jupiter is the largest planet in the solar system by far. It has many moons, one of which is called…

A: Given:           mass of l0= 8.93×1022kg      Gravitational field strength = 1.80 N/kgWe know that…

Q: Calculate the surface escape velocities for Mars.  rM = 3.3× 106 m, MM = 6 × 1022 kg).

A: Given, radius of mars, rm = 3.3×106 m mass of the mars, M = 6×1022 kg

Q: You have a super high-tech spacecraft travelling through space that gets caught in a circular orbit…

A: Step 1:Step 2:Step 3: Step 4:

Q: 2. (This is a problem from Physics 211 (Mechanics). Of course it has an electrical analog in the…

A:

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.