A particle of mass m under the action of a central force describes an orbit that is a circle of radius a passing through the center of force. Find the law of force.
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- Show work to find the gravitational acceleration a distance z from the center of a uniform disk with mass M and radius a.Find the z-component of the gravitational field due to the ring at a point P on the z-axis at a distance 5 m from the origin. I need to find gz.Space debris left from old satellites and their launchers is becoming a hazard to other satellites. (a) Calculate the speed of a satellite in an orbit 900 km above Earth's surface. (b) Suppose a loose rivet is in an orbit of the same radius that intersects the satellite's orbit at an angle of 90°. What is the velocity of the rivet relative to the satellite just before striking it? (c) If its mass is 0.500 g, and it comes to rest inside the satellite, how much energy in joules is generated by the collision? (Assume the satellite's velocity does not change appreciably, because its mass is much greater than the rivet's.)
- ) Three objects of equal mass are located at the coners of a square of edge length l as shown. Find the magnitude and direction of the gravitational field at the fourth corner due to these objects. (leaving unstated) mConsider the objects on the coordinate grid: a rod with m, = 5.25 kg, a right triangle with m, = 36.0 kg, and a square with m, = 4.45 kg. Calculate the center of gravity for the system. Assume the objects are uniform. (Give the coordinates of the center of gravity in m.) у (m) (9, 7) (-5, 5) (2, 7) (8, 5). (-2, 2) (4, 1) x (m) X- By symmetry you can determine the center of mass the center of mass for the x-coordinate of the three-object system. (Note that in a uniform gravitational field, the center of mass and center of gravity of an object coincide.) m coordinate the rod and square. Calculate the center of mass of the triangle. (Hint: You will need to integrate.) Then use the formula for y- By symmetry you can determine the center of mass the center of mass for the y-coordinate of the three-object system. (Note that in a uniform gravitational field, the center of mass and center of gravity of an object coincide.) m coordinate the rod and square. Calculate the center of mass of the…Describe your approach to determining the distance between the electron and proton in an atom if the potential energy U of the electron is known to be 14 eV. а. Use the law of conservation of energy. b. Use Coulomb's law. С. Use the definition of electrostatic potential energy U of one point charge q at position r in the presence of an electric potential. d. Use Newton's second law.