A ring of matter is a familiar structure in planetary and stellar astronomy. Examples include Saturn’s rings and a ring nebula. Consider a uniform ring of mass 2.36 x 1020 kg and radius 1.00 x 108 m. An object of mass 1 000 kg is placed at a point A on the axis of the ring, 2.00 x 108m from the center of the ring (Figure P13.53). When the object is released, the attraction of the ring makes the object move along the axis toward the center of the ring (point B). (a) Calculate the gravitational potential energy of the object–ring system when the object is at A. (b) Calculate the gravitational potential energy of the system when the object is at B. (c) Calculate the speed of the object as it passes through B.
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
A ring of matter is a familiar structure in planetary and stellar astronomy. Examples include Saturn’s rings and a ring nebula. Consider a uniform ring of mass 2.36 x 1020 kg and radius 1.00 x 108 m. An object of mass 1 000 kg is placed at a point A on the axis of the ring, 2.00 x 108m from the center of the ring (Figure P13.53). When the object is released, the attraction of the ring makes the object move along the axis toward the center of the ring (point B). (a) Calculate the gravitational potential energy of the object–ring system when the object is at A. (b) Calculate the gravitational potential energy of the system when the object is at B. (c) Calculate the speed of the object as it passes through B.
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