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Q1.A thrill-seeking cat with mass 4.00 kg is attached by a harness to an ideal spring of negligible mass and oscillates perpendicularly in SHM. The amplitude is 0.050 m, and at the highest point of the motion the spring has its natural unstretched length. compute the elastic potential energy of the spring (take it to be zero for the unstretched spring), kinetic energy of the cat, the gravitational potential energy of the system relative to the lowest point of the motion, and sum of these three energies when the cat is-
a). At its highest point
b). At its lowest point.
c). at its equilibrium position
Q2. The intensity of a cylindrical laser beam is 0.800 {rm W}/{rm m}^{2}. The cross-sectional area of the beam is 3.0 times 10^ { - 4} {rm m}^{2} and the intensity is uniform across the cross section of the beam.
A) What is an average power output of the laser?
B) What is the rms value of the electric field in the beam?
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.
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