College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- 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?arrow_forwardYou 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 orbitarrow_forwardGeosynchronous satellite moves in a circular orbit around the Earth and completes one circle in the same time T during which the Earth completes one revolution around its own axis. The satellite has mass m and the Earth has mass M and radius R. In order to be geosynchronous, the satellite must be at a certain height h above the Earth’s surface. a) Derive an expression for h in terms of m, M, R, T and constants. b) Calculate the numerical value for h in meters.arrow_forward
- Please answer parts a-carrow_forwardA ring of radius 7 m lies in the x-y plane, centered on the origin. The portions of the ring in the first and third quadrants have a mass density of 7.4 kg/m, while the portions of the ring in the second and forth quadrants have a mass density of 7.3 kg/m. Find the z component of the gravitational field due to the ring at a point P on the z axis a distance 6 meters from the origin. Use G = 6.673E-11 N m2/kg2.arrow_forwardTidal 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).arrow_forward
- Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital period of 3.50 Earth years in a circular orbit around its star, which has a measured mass of 3.80 × 10³0 kg. Determine the radius r of the exoplanet's orbit. r = marrow_forwardWhat is the gravitational field intensity at a distance of 8.4 x 107 m from the centre of Earth?arrow_forwardA 2270 kg space station orbits Earth at an altitude of 5.01×10^5 m. Find the magnitude of the force with which the space station attracts Earth. The mass and mean radius of Earth are 5.98×10^24 kg and 6.37×10^6 m, respectively.arrow_forward
- A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.1 × 104 m/s. The mass of the planet is M = 6.04 × 1024 kg. The mass of the satellite is m = 1.2 × 103 kg. First, find an expression for the gravitational potential energy PE in terms of G, M, m, and R. a)Calculate the value of PE in joules. b)Enter an expression for the total energy E of the satellite in terms of m and v. c)Calculate the value of the total energy E in joules.arrow_forwardA 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…arrow_forwardA 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.arrow_forward
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