A particle is projected vertically upward in a constant gravitational field with an initial speed Vo. There is a retarding force proportional to the instantaneous speed. Calculate the time it takes to come back to the initial position.
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- 3. (a) At which of the indicated positions does the satellite in elliptical orbit experience the greatest gravitational force? (b) Have the greatest speed? (c) The greatest velocity? (d) The greatest momentum? (e) The greatest KE? (f) The greatest gravitational PE? (g) The greatest total mechanical energy?(a) Evaluate the gravitational potential energy (in J) between two 6.00 kg spherical steel balls separated by a center-to-center distance of 19.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.20 cm. m/s(a) Evaluate the gravitational potential energy (in J) between two 4.00 kg spherical steel balls separated by a center-to-center distance of 19.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.50 cm. m/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.On the ground level, the weight of a satellite is W N. The satellite is launched and stays in an orbit that is R/47 above the ground level, where R is radius of the Earth. If the gravitational force on the satellite is xW at this location, determine x.Current Attempt in Progress One model for a certain planet has a core of radius R and mass M surrounded by an outer shell of inner radius R, outer radius 2R, and mass 4M. If M-2.97 x 1024 kg and R-8.31 x 10 m, what is the gravitational acceleration of a particle at points (a) R and (b) 3R from the center of the planet? (a) Number (b) Number Units Units
- Any help would be appreciated!A ring of radius 5 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 11.9 kg/m, while the portions of the ring in the second and fourth quadrants have a mass denisty of 10.3 kg/m. Find the z-component of the gravitational field due to the ring at a point P on the z-axis at a distance 7 m from the origin. Use G = 6.673e-11 N*m^2/kg^2A satellite moves in a circular orbit aroundthe Earth at a speed of 5.5 km/s.Determine the satellite’s altitude abovethe surface of the Earth. Assume theEarth is a homogeneous sphere of radius6370 km and mass 5.98 × 1024 kg. Thevalue of the universal gravitational constantis 6.67259 × 10−11 N · m2/kg2.Answer in units of km.
- An asteroid is discovered to have a tiny moon that orbits it in a circular path at a distance of 147 km and with a period of 35.0 h. The asteroid is roughly spherical (unusual for such a small body) with a radius of 24.3 km. a) Find the acceleration of gravity at the surface of the asteroid. b) Find the escape velocity from the asteroid.The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are ma = 346 kg, mB = 520 kg, and mc = 129 kg. Take the positive direction to be to the right. Find the net gravitational force, including sign, acting on (a) particle A, (b) particle B, and (c) particle C. 0.500 m B 0.250 mChapter 04, Problem 029 7 Your answer is partially correct. Try again. The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are ma = 322 kg, mg = 589 kg, and to the right. Find the net gravitational force, including sign, acting on (a) particle A, (b) particle B, and (c) particle C. mc = 185 kg. Take the positive direction to be 0.500 m 0.250 m