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Q. An asteroid is discovered heading straight toward Earth at 13 . An international team manages to attach a giant rocket engine to the asteroid. The rocket fires for 10 , after which the asteroid is moving at 29 to its original path at a speed of 18. Find its average acceleration.
Q. A package of mass 9 kg sits at the equator of an airless asteroid of mass 3.0 1020 kg and radius 3.5 105 m. We want to launch the package in such a way that it will never come back, and when it is very far from the asteroid it will be traveling with speed 159 m/s. We have a large and powerful spring whose stiffness is 1.6 105 N/m. How much must we compress the spring?
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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