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Q1. An artillery shell is fired with the initial velocity of 305 m/s at 67.0° above the horizontal. To clear an avalanche, it explodes on a mountainside 37.0 s after firing. What is the x and y components of the shell where it explodes, relative to its firing point?
Q2. An 845-N sled is pulled a distance of 173 m. The task requires 1.20 x 10^4 J of work and is done by pulling on a rope with the force of 142 N. At what angle is the rope held?
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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