The a-36 steel bolt is tightened within a hole so that the reactive torque on the shank ab can be expressed by the equation t = (kx2) n. m/m, where x is in meters. if a torque of t = 50 n. m is applied to the bolt head, determine the constant k and the amount of twist in the 50-mm length of the shank. assume the shank has a constant radius of 4 mm.

Imagine you are standing in the antarctic during the southern hemisphere summer. the sky is clear and blue. there are no clouds in the sky. your shadow is cast on the icy ground. what is the color of the shadow?

How will the system respond to a temperature increase?

Two conductors, a and b, are each in the shape of a tetrahedron. but of different sizes. they are charged in the following manner: 1. tetrahedron a is charged from an electrostatic generator to charge q. 2. tetrahedron a is briefly touched to tetrahedron b. 3. steps 1 and 2 are repeated until the charge on tetrahedron b reaches a maximum value. if the charge on tetrahedron b was q/4 after the first time it touched tetrahedron a. what is the final charge qbmax on tetrahedron b?