A hollow aluminum shaft (G 5 27 GPa, d2 5 96 mm, and d1 5 52 mm) has an angle of twist per unit length of 1.88/m due to torques T. The resulting maximum tensile stress in the shaft is approx-imately:
(A) 38 MPa
(B) 41 MPa
(C) 49 MPa
(A) 38 MPa
(B) 41 MPa
(C) 49 MPa
(D) 58 MPa
(D) 58 MPa
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Sodium metal is paramagnetic with a dimensionless magnetic susceptibility (?) of 8.48×10-6 . The paramagnetism of sodium metal is due to the rotation of some of the spins of the metal’s free electrons into the direction of the applied magnetic field. The applied magnetic field is equal to 1×105 A/m. Sodium metal is BCC with a lattice parameter of 0.428×10-9 m, and sodium is from Group 1A of the periodic table.
(a) What is the intensity of magnetization or the dipole moment per unit volume? (b) For sodium, what is the number of atoms per unit volume, and what is the number of free electrons per unit volume? (c) What is the dipole moment per sodium atom? (d) Assuming that all of the magnetic susceptibility is due to the orientation of free electron spins, what is the net number of free electron spins per atom oriented in the direction of the applied magnetic field?
Which law of thermodynamics addresses the direction of heat flow?
A) First law B) Second law C) Third law D) all of the above
Suppose a 5.0-meter diameter telescope were constructed on the dark side of the moon. The viewing there (except for brief periods of sunlight) would be excellent. As an example, what would be the separation between two objects that could just be resolved on the planet Mars in 500 nm light? [The distance to Mars at closest approach is 50 million miles.]
If the resultant force acting on a 2.0-kg object is equal to 
N, what is the change in kinetic energy as the object moves from 
m to 
/> m? A. +36 J B. +28 J C. +32 J D. +24 J E. +60 J