How much work is required to move a 1550 kg satellite from a circular orbit with an altitude of 105 km above the surface of Mars to a circular orbit with an altitude of 905 km above the surface of the Mars? The mass and radius of Mars are of Mars are 6.39 x 1023 kg and 3.39 × 106 m, respectively. G = 6.67 × 10-11 m³ kg-1 s-2 is the universal gravitational constant.
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- In this problem you will measure the gravitational constant in a series of “observational experiments,” making use of Newton’s law of gravitation and second law of motion as well as Kepler’s third law of planetary motion Suppose a rocket is launched as described in part (d) with an initial speed of vi = 494 m/s and attains a peak altitude of H = 12.7 km above the surface of Earth. Taking ME = 5.95×1024 kg and Ri = 6.41×106 m, what is the measured value of the gravitational constant, in units of N⋅m2/kg2?A system consists of six particles. How many terms appear in the expression for the total gravitational potential energy of the system? O 15 O 6 O 5 О 36 О 30In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core is actually far from spherical, in this problem we’ll model it as a sphere with a mass of 1.0 x 1013 kg and a radius of 1.6 km. If a rock were dropped from a height of 1.0 m above the comet’s surface, how long would it take to hit the surface?
- Find an expression for the square of the orbital period. Express your answer in terms of G, M, R, and π. The potential energy U of an object of mass m that is separated by a distance R from an object of mass M is given by U=−G*Mm/R. What is the kinetic energy K of the satellite? Express your answer in terms of the potential energy U.A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.01 x 10* m/s. The mass of the planet is M = 6.02 x 1024 kg. The mass of the satellite is m= 3.2 × 103 kg. Enter an expression for the kinetic energy KE of the satellite in terms of m and v. Calculate the value of KE in joules. Enter an expression for the magnitude of the gravitational force F in terms of M, R, m and the gravitational constant G. Enter an expression for the centripetal acceleration of the satellite a, in terms of the speed of the satellite, v, and R. Enter an expression for the radius R in terms of G, M and v. Calculate the value of R in meters. Enter an expression for the gravitational potential energy PE in terms of G, M, m, and R. Calculate the value of PE in joules. Enter an expression for the total energy E of the satellite in terms of m and v. Calculate the value of the total energy E in joules.What is the escape speed from a planet of mass M = 3.1 x 1023 kg and radius R = 2.6 x 106 m? Write the answer in terms of km/s.
- 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.The International Space Station, which has a mass of 4.94×105 kg, orbits 258 miles above the Earth's surface, and completes one orbit every 94.3 minutes. What is the kinetic energy of the International Space Station in units of GJ (109 Joules)? (Note: don't forget to take into account the radius of the Earth!) Enter answer here GJAn earth-like planet with a mass of 8.00×1024 kg has a space station of mass 4.70×104 kg orbiting it at a distance of 3.00×105 km. What is the gravitational potential energy between the space station and the planet? (We can simplify the Gravitational Constant G to 6.7x10-11 Nm2/kg) J
- %20tiene%20una%20masa%20de%20100%20kg%20y%20se%20encuentra%20a%20u... INGLÉS ESPAÑOL FRANCÉS A satellite of the Earth has a mass of 100 kg and is at a height of 2.0x10 3 km above the earth's surface. Determine the gravitational potential energy of the Earth-satellite system. Enviar com TardadoYou encounter a strange cosmic string in outer space. The string extends along the x axis from x = 0 m to x = 4.6 x 104 m. You are located at x = -5.4 x 104 m. You experience a gravitational field equal to 9.6 x 10-6 N/kg at this location. Assuming the string has a constant linear mass density, calculate this linear mass density, in units of 105kg/m. Use G = 6.7 x 10-11 N m2/ kg2. (Please answer to the fourth decimal place - i.e 14.3225)Determine the gravitational field at mass A. The radius of masses A and C is 50 cm while the radius of mass B is 75 cm.