A uniform sphere of radius R and mass M rotates freely about a horizontal axis that is tangent to an equatorial plane of the sphere, as shown below. The rotational inertia of the sphere about this axis is
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?
A.
.B.
.C.
.D.
.E.
.Answer: D
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Explain the conservation laws in the context of stellar astronomy
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What is the wavelength (in meters) of a wave whose displacement is given by y = 0.5 sin(0.20x + 120t), where x and y are in meters and t in seconds?
A) 5.0 m B) 10. m C) 19. m D) 31. m E) 0.20 m
Mass on a Spring: A 0.50-kg object is attached to an ideal spring of spring constant (force constant) 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At what distance from the equilibrium position are the kinetic energy and potential energy of the system the same?
A. 0.017 m B. 0.029 m C. 0.12 m D. 0.17 m
A long wire is known to have a radius greater than 4.0 mm and to carry a current uniformly distributed over its cross section. If the magnitude of the magnetic field is 0.285 mT at a point 4.0 mm from the axis of the wire and 0.200 mT at a point 10 mm from the axis, what is the radius of the wire?
A. 4.6 mm B. 7.1 mm C. 5.3 mm D. 12 mm E. 10 mm