Planet Kling has half the radius and 2 times the mass of the Earth. What is the best estimate for the magnitude of the gravitational field at the surface of Planet Kling?
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- You have a super high-tech spacecraft travelling through space that gets caught in a circular orbit around a mysterious object of mass 10 times that of the Sun and a radius of 30km. Your team decides to observe the behavior of this object but due to the heat that it's giving off, it is required that your satellite obtain a circular orbit of at least r = 5.3e5km to be considered 'safe'. You are currently in a circular orbit with r = 4.1e5km. What is the minimum delta-v required to reach the safe orbitTidal forces are gravitational forces exerted on different parts of a object by a second object. Their effects are particularly visible on Earth's surface in the form of tides. To understand the origin of tidal forces, consider Earth-Moon system to consist of two spherical bodies, each with a spherical mass distribution. Let RE be the radius of Earth, m be the mass of the Moon, and G be the gravitational constant. Part B Since the gravitational force between two bodies decreses with distance, the accelaeration a(near) experienced by a unit mass located at the point on the earth's surface closest to moon is slightly different from the acceleration a(far) experienced by a unit mass located at the point on the earth`s surface farthest from the moon. Give a general expresion for the quantity a(near)- a(far).What is the gravitational field intensity at a distance of 8.4 x 107 m from the centre of Earth?
- A satellite in geostationary orbit (also called synchronous orbit) appears to remain stationary in the sky as seen from any particular location on the planet. a.) In the future, there will be need for satellites in synchronous orbit around Mars to aid colonies. At what altitude would such a satellite need to be above the surface of Mars?Assume that the mass of Mars is 6.39 × 10^23 kg, the length of the Martian solar day (i.e., sol) is 24h 39m 35s, the length of the sidereal day is 24h 37m 22s, and the equatorial radius is 3396 km. (Hint: if you haven’t had a physics class before, you can find this by using the fact that the acceleration of an object in circular motion either as v2/r, where v and r are the velocity and radius of the orbit, or as 4Pi 2r/T2 , where T is the period. Use this second equation and Mathematical Insight 4.5 on p. 131 to find r for T=1 day. Make sure to use values for Mars nstead of Earth, as necessary. Alternatively, you can calculate the answer using Newton’s…A satellite orbiting a planet with a radius of 2.0 x 107m very near the surface of the planet has a period of 4.1 hours. Determine the gravitational field intensity g on that planet.A uniform distribution of dust in the solar system adds to the gravitational attraction of the Sun on a planet an additional forceF = −m C rwhere m is the mass of the planet, C is a constant proportional to the gravitational constant and the density of the dust, and r is the radius vector from the Sun to the planet (both considered as points). This additional force is very small compared to the direct Sun-planet gravitational force.Calculate the period for a circular orbit of radius r0 of the planet in thiscombined field.
- Example 4. A satellite is orbiting a circular orbit at an altitude of 900 km, at which atmosphere density is 5.46 x 10-13kg/m³. The satellite has mass 150kg, cross sectional area 1.50m², and drag coefficient 2. a) Calculate the rate of change of orbit radius da/dt in units of m/s. b) Make an estimate of the time (in years) that will take the satellite to reach the Earth.Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital period of 3.17 Earth years in a circular orbit around its star, which has a measured mass of 3.63×1030 kg. Find the radius r of the exoplanet's orbit.Venus is known as the 'Earth's sister' because of its similar size and gravity. It has a mass of 4.87 x 10^24 kg and an average radius of 6060 km. As the 150 kg satellite slowly approaches the surface of Venus it is influenced by its gravitational field. (a) Describe how the satellite gravitational potential energy changes as it is moving from an altitude of 5000 km to the surface of Venus. (b) Calculate the gravitational fieid strength on the surface of Venus.
- Needs Complete solution with 100 % accuracy.A star of radius 67000 km and mass equal to that of the Sun has two small planets moving around it on circular orbits. The radius of the first planet's orbit is 100 times the radius of the star. It is known that the kinetic energy of the orbital motion of the second planet is equal in magnitude to the potential energy of the first planet in the field of the star. What is the radius of the second planet's orbit if it is 8 times heavier than the first planet?Chapter 13, Problem 025 Your answer is partially correct. Try again. A solid sphere of uniform density has a mass of 2.9 x 104 kq and a radius of 2.5 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 8.1 kg located at a distance of (a) 4.8 m and (b) 1.1 m from the center of the sphere? (c) Write a general expression for the magnitude of the gravitational force on the particle at a distance rs 2.5 m from the center of the sphere. (a) Number Units (b) Number Units (c) Fon mk r, where k 0.000006300 N/m