Two oppositely charged but otherwise identical conducting plates of area 2.50 square centimeters are separated by a dielectric 1.80 millimeters thick,

Hi I need help with thisquestion. A uniform metal rod, with a mass of 3.1 kg and a length of 1.2 m,is attached to a wall by a hinge at the base. A horizontalwire bolted to the wall 0.51 m above the base of the rod holds therod at an angle of 25 degrees above the horizontal. The wireis attached to the top of the rod. (a) Find the tension inthe wire. (b) Find the horizontal and verticalcomponents of the force exerted on the rod by the hinge. Thank you

An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Fig. 1) The rope will break if the tension in it exceeds $4.50\cdot {10}^4$N and our hero's mass is 86.5 kg.

 Figure 1 a) If the angle $\theta$ is ${13.0}^{\circ }$, find the tension iin the rope.

b) What is the smallest value the angle $\theta$ can have if the rope is not to break?

A pair of forces with equal magnitudes, opposite directions,and different lines of action is called a "couple". When acouple acts on a rigid object, the couple produces a torque thatdoes not depend on the location of the axis. The drawing shows acouple acting on a tire wrench, each force being perpendicular tothe wrench. Determine an expression for the torque produced by thecouple when the axis is perpendicular to the tired and passesthrough (a) point A, (b) point B, and (c) point C. Express youranswers in terms of the magnitude F of the force and the length Lof the wrench

A block of mass m=2.20 kg slides down a 30 degree incline which is 3.60 m high. At the bottom, it strikes a block of mass=7.00 kg which is at rest on a horizontal surface in the picture. If the collision is elastic, and friction can be ignored, determine (a)the speeds of the two blocks after the collision, and (b) how far back up the incline the smaller mass will go.

Change from rectangular to spherical coordinates. (0, -2, 0)

Suppose unpolarized light of intensity ${\displaystyle 150\frac{W}{m^2}}$ falls on the polarizer at an angle 30. What is the light intensity reaching the photocell?

Anovice pilot sets a plane's controls, thinking the plane will fly at ${\displaystyle 2.50\times {10}^2\frac{km}{h}}$ to the north. If the wind blows at ${\displaystyle 75\frac{km}{h}}$ toward the southeast, what is the plane’s resultant velocity? Use graphical techniques.