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A solid uniform spherical marble with mass 1kg and r= .02m rolls down a hill starting from rest. The hill is 1m high and has a hypotenuse of 2m.
a. gravitational potential energy of the marble at the top of the hill?
b. gravitational potential energy of the marble at the bottom?
c. Kinetic energy at the bottom of the hill?
d. velocity of the center of mass of the marble at the bottom of the hill?
e. angular velocity of the marble at the bottom of the hill?
f. acceleration of the center of mass of the marble while its rolling along the incline?
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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