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Question1
An unstable nucleus of mass 3.4 10-26 kg, initially at rest at an origin of a coordinate system, disintegrates into 3 particles. One particle, having a mass of m1 = 1.0 10 to 26 kg, moves in positive y-direction with speed v1 = 6.2 106 m/s. Another particle, of mass m2 = 1.5 10-26 kg, moves in positive x-direction with speed v2 = 4.2 106 m/s. discover the magnitude and direction of the velocity of third particle.
Question2
An elevator is stopped at ground floor. It starts moving upwards at constant acceleration a>0 for 5 seconds. It then keeps a constant speed for 35 seconds. At last, it slows down with an acceleration of similar magnitude (but opposite direction) -a, until it comes to a halt at top floor. The top floor is 340 meters above ground floor. (a)What is maximal speed v of the elevator?
(b)What is acceleration a?
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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