Explain the importance of having understanding of the physics or chemistry
of failure mechanisms when one is doing accelerated life testing.

1. What is the difference between Q and q? Under what assumptions is investment solely a function of q? what is the difference between the capita Q and small q in investment function

(2) Please show that a discontinuity arises in the first derivative of the wave function of the infinite potential well (0 to L).

Using plane waves, find the Fresnel and Snell formulas. (Reflection and refraction). Show that in a vacuum plane waves propagate orthogonally to each other, and are transverse to the direction of propagation

Introduce hydraulic loss   into the Bernoulli equation to account for the energy lost by the water flowing through the small horizontal pipe. Derive the expression for the hydraulic loss by considering two points at the inlet and outlet of the small horizontal pipe.

A bicycle racer sprints at the end of a race to clinch a victory. The racer has an initial velocity of 13.0 m/s and accelerates at the rate of 0.600 m/s² for 7.00 s.

(a) What is his final velocity?
(b) The racer continues at this velocity to the finish line. If he was 300 m from the finish line when he started to accelerate, how much time did he save?
(c) One other racer was 5.00 m ahead when the winner started to accelerate, but he was unable to accelerate and traveled at 13.3 m/s until the finish line. How far ahead of him (in meters and in seconds) did the winner finish?

distance

time

Can a free particle be normalised? Explain your answer?

I need proper answers for the following ( well explained and understandable writing)

1. A long, vertical, metallic wire carries downward electric current. (i) What is the direction of the magnetic field it creates at a point 2 cm horizontally east of the center of the wire? Why?

(a) north

(b) south

(c) east

(d) west

(e) up

2. One pole of a magnet attracts a nail. Will the other pole of the magnet attract the nail? Explain. Also explain how a magnet sticks to a refrigerator door.

I need proper answers for the following ( well explained and understandable writing)

1) A hollow copper tube carries a current along its length. Why is B =0 inside the tube? Is B nonzero outside the tube?

2)  Why does hitting a magnet with a hammer cause the magnetism to be reduced

Enter the letters corresponding to all the true statements.

1. At a certain location there is a constant horizontal magnetic field pointing to the east. A square loop of wire is placed in this field. At time A the bottom of the loop is resting on the floor (which is insulating), and the plane of the square loop is vertical and perpendicular to the magnetic field. The loop tips over and at time B it is flat on the floor. For this situation...

A) The induced current is greatest just before the loop starts to tip
     B) While the loop is tipping over, the induced current is flowing northward through the bottom side of the square
     C) The magnetic flux does not change as a result of the loop tipping over
     D) Current is induced to flow in the loop because the magnetic flux is changing
     E) Before the loop starts to tip over, there is no induced current in the square loop

2. Electromagnetic waves are traveling straight down towards the center of the earth. For these waves...

     A) if the electric field points east, the associated magnetic field points north
     B) if the electric field points north, the associated magnetic field points east
     C) a high-frequency wave has a shorter wavelength than a low-frequency wave
     D) green light has a higher frequency than blue light
     E) visible light has a longer wavelength than ultraviolet light

A 150-g baseball is dropped from a tree 13.0 mabove the ground.

A) With what speed would it hit the ground if air resistance could be ignored?

B) If it actually hits the ground with a speed of 9.00 m/s , what is the magnitude of the average force of air resistance exerted on it?

A 178g block is launched by compressing a spring of constant k=200N/m a distance of 15 cm. The spring is mounted horizontally, and the surface directly under it is frictionless. But beyond the equilibrium position of the spring end, the surface has coefficient of friction ?=0.27. This frictional surface extends 85 cm, followed by a frictionless curved rise

After launch, where does the block finally come to rest? Measure from the left end of the frictional zone.

Please show ur working

A metal bar (23.5 x 10^-6oC^-1) has a final length of 5.5800 m after its temperature changes from 64.459 ^oF to -27.674 ^oC.

a) Convert the initial temperature to ^oC.

  In 100 words or less, explain how to calibrate a new and otherwise unmarked mercury or alcohol filled, glass thermometer.

As a city planner, you receive complaints from local residents about the safety of nearby roads and streets. One complaint concerns a stop sign at the corner of Pine Street and 1st Street. Residents complain that the speed limit in the area (55 mph) is too high to allow vehicles to stop in time. Under normal conditions this is not a problem, but when fog rolls in visibility can reduce to only 155 ft. Since fog is a common occurrence in this region, you decide to investigate. The state highway department states that the effective coefficient of friction between a rolling wheel and asphalt ranges between 0.842 and 0.941, whereas the effective coefficient of friction between a skidding (locked) wheel and asphalt ranges between 0.550 and 0.754. Vehicles of all types travel on the road, from small VW bugs weighing 1070 lb to large trucks weighing 8070 lb. Considering that some drivers will brake properly when slowing down and others will skid to stop, calculate the minimum and maximum braking distance needed to ensure that all vehicles traveling at the posted speed limit can stop before reaching the intersection

. minimum braking distance: ft ? maximum braking distance: ft?

Given that the goal is to allow all vehicles to come safely to a stop before reaching the intersection, calculate the maximum desired speed limit. maximum speed limit: mph?

A box of mass m = 10.0 kg is attached to a rope. The other end of the rope is wrapped around a pulley with a radius of 15.0 cm. When you release the box, it begins to fall and the rope around the pulley begins to unwind, causing the pulley to rotate. As the box falls, the rope does not slip as it unwinds from the pulley. If the box is traveling at a speed of 2.50 m/s after it has fallen 0.500 m, what is the moment of inertia of the pulley?