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Question: The 2520 Olympic and Paralympic games are celebrated in Omicron Persei 8 (a planet very far away from Earth). When landing after a spectacular somersault, a 42-kg gymnast decelerates by pushing straight down on the mat. If the gymnast is exerting a force of -1386 N on the ground which results in her deceleration to be 7 times the acceleration due to gravity of that planet, what is the magnitude of the constant of gravity in Omicron Persei 8? Express your answer in m/s2. Express your answer with three significant figures. Note for clarification: a somersault is an acrobatic exercise in which a person's body rotates 360? around a horizontal axis with the feet passing over the head.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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