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Q1. A small wooden block with mass 0.900 is suspended from a lower end of a light cord that is 1.50 long. The block is at first at rest. A bullet with mass 0.0106 is fired at the block with a horizontal velocity. The bullet strikes the block and becomes embedded in it. After the collision the combined object swings on the end of the cord. As the block has raised a vertical height of 0.725, the tension in the cord is 4.66 .What is the velocity of the bullet originally.
Q2. One simple model for a person running the 100 m dash is to suppose the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line. If a sprinter reaches his top speed of 11.5 m/s in 2.24 s, what will be his total time?
Q3. An insulating spherical shell with inner radius 25.0 rm cm and outer radius 60.0 rm cm carries a charge of + 150.0 mu {rm C} uniformly distributed over its outer surface. Point a is at the center of the shell, point b is on an inner surface and point c is on the outer surface.
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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