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Q1. Vector is along a measured trail and is 1310 m in a direction 27.0 ° north of east. Vector is not along a measured trail, but the hiker uses a compass and knows that the direction is 19.0 ° east of south. Likewise, the direction of vector is 29.0 ° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or + + = 0. Determine the magnitudes of (a) vector and (b) vector.
Q2. An object of mass m is attached to a horizontal spring, stretched to a displacement A from equilibrium and released, undergoing harmonic oscillations on a frictionless surface with period T0. The experiment is then repeated with a mass of 4m. The subsequent total mechanical energy of the object with mass 4m is when compared to the unique total mechanical energy?
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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