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Angular Projectile Motion: A 2-stage rocket is launched at an angle of 53.0° above the horizontal with an initial speed of 100 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 30.0 m/s2. At this time, its 1-stage engines fail and the rocket moves for 5.00 s in the second stage along this line with an acceleration of 40 m/s2. The second stage engine fails and the rocket proceeds to move as a projectile. Find
(a) the maximum altitude reached by the rocket,
(b) its total time of flight,
(c) its horizontal range and
(d) the final velocity it has just before impact.
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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