ΤΑ A body of mass m moves in a force field with potential energy U==mkr²,where k>0. At 2 time t = 0 the body is launched from position A(x=0,y=a) with initial velocity and moves in the plane z=0. u₁ = a√ki What is its type of orbit?
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- A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 5 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.6 x 10* m/s. Its farthest distance from the Sun is beyond the orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed = m/s Additional Materials eBook O Show My Work (Optional)A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.5 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.2 x 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed = 690 X m/s Additional Materials eBookPlease answer parts a-c
- A satellite is in a circular orbit of radius r around the Earth. (Use the following as necessary: G, ME, and r.) a) Determine an expression that will allow you to find the speed of the satellite. b)The satellite splits into two fragments, with masses m and 4m. The fragment with mass m is initially at rest with respect to the Earth, then falls straight towards the Earth. The fragment with mass 4m moves with initial speed vi. Find an expression for vi. c)Because of the increase in its speed, this larger fragment now moves in an elliptical orbit. Find an expression for the fragment's distance away from the center of the Earth when it reaches the far end of the ellipse.A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.9 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.3 × 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 10¹2 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed= i ! m/sI Review i Two satellites are in circular orbits around a planet that has radius 9.00 × 10° m. One satellite has mass 68.0 kg, orbital radius 6.00x107 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 5.00x107 m. Part A What is the orbital speed of this second satellite? Express your answer to three significant figures and include the appropriate units. HẢ ? V = Value Units Submit Request Answer
- Inside a hemispherical bowlThree different objects, all with different masses are initially at rest at the bottom of a set of steps. Each step is of uniform height d. The mass of the object is a multiple of the base mass: m: object one had mass 3.10m, object 2 has mass 1.46m, and object 3 has mass m. Object 3 is on step one, object 2 is on step two, and object one is on step 3. define the total gravitational energy of the three object system to be zero when the objects are at the bottom of the steps. Each answer requires the numerical coefficient to an algebraic expression that uses some combination of variables m, g, and d, where g is the acceleration due to gravity. find a new reference height (measured from the base of the stairs) such that the highest two objects have the exact same gravitational potential energy?A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.9 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.3 x 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed = m/s
- A satellite is in orbit above a planet. Which of the following is TRUE? 1. The total energy of the satellite is positive 2. The kinetic energy and GPE of the satellite is negative 3. The kinetic energy and GPE of the satellite is positive 4.The total energy and GPE of the satellite is negativeA small asteroid that has a mass of 150 kg is moving at 500 m/s when it is 950 km above the surface of the Moon. The radius of the Moon is 1.737E6 m and the mass of the Moon is 7.350E22 kg. a.How fast will the meteorite be traveling when it impacts the lunar surface if it is heading straight toward the center of the moon? b.The atmosphere of the Moon is negligible. How much work does the Moon do in stopping the asteroid?In introductory physics laboratories, a typical Cavendish balance for measuring the gravitational constant G uses lead spheres with masses of 2.10 kg and 21.0 g whose centers are separated by about 3.60 cm. Calculate the gravitational force between these spheres, treating each as a particle located at the center of the sphere. N