A new set of fiber-reinforced composite is designed to support the body function. Compute the longitudinal tensile strength of this fiber–epoxy matrix biocomposite in which the average fiber diameter and length are 0.018 mm and 2.2 mm, respectively, and the volume fraction of fibers is 0.35. Assume that the fiber–matrix bond strength is 122 MPa, the fracture strength of the fibers is 3800 MPa, and the matrix stress at composite failure is 5.9 MPa.

Explain with circuits and plots for the voltage and current relations in R, L, and C circuits separately? What is impendence? How resonance occurs in an AC circuit?

Explain RLC series circuit? Write impedance? What is power in A.C circuit? Explain resonance in AC circuit with examples?

A) A body falls on the ground from a height of 10 m and rebounds to a height of 2.5 m. Calculate the percentage loss of kinetic energy of the body during its collision with the ground.

B) A bomb explodes into two fragments of masses 3.0 kg and 1.0 kg. The total kinetic energy of the fragment is 6x10^4 joule. calculate the kinetic energy of the bigger fragment, and the momentum of the smaller fragment.

What electronic circuit would you use to measure the gait variability of an individual? What electronic signal would be produced by this circuit? What processing steps would you carry out on this signal to determine the individual’s gait variability?

How does intensity profiles of Large opening and Incoherent Light different from the intensity profiles of Small slits with Incoherent Light?

Please use diagram to explain. Thank you in advance for your help.

A crate of mass 11.0 kg is pulled up a rough incline with an initial speed of 1.40 m/s. The pulling force is 102 N parallel to the incline, which makes an angle of 19.0° with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 4.94 m. (a) How much work is done by the gravitational force on the crate? J (b) Determine the increase in internal energy of the crate–incline system owing to friction. J (c) How much work is done by the 102-N force on the crate? J (d) What is the change in the kinetic energy of the crate? J (e) What is the speed of the crate after being pulled 4.94 m? m/s

Three point charges lie in a straight line along the y-axis. A charge of q₁ = -9.70 µC is at y = 6.80 m, and a charge of q₂ = -8.30 µC is at y = -4.20 m. The net electric force on the third point charge is zero. Where is this charge located?
y =  m

An alpha particle (charge = +2.0e) is sent at high speed toward a gold nucleus (charge = +79e). What is the electric force acting on the alpha particle when the alpha particle is 3.7 ✕ 10^-14 m from the gold nucleus?
N

On average, both arms and hands together account for 13% of a person's mass, while the head is 7.0% and the trunk and legs account for 80%. We can model a spinning skater with her arms outstretched as a vertical cylinder (head, trunk, and legs) with two solid uniform rods (arms and hands) extended horizontally.

Suppose a 75.0 kg skater is 1.70 m tall, has arms that are each 68.0 cm long (including the hands), and a trunk that can be modeled as being 34.0 cm in diameter. If the skater is initially spinning at 73.0 rpm with her arms outstretched, what will her angular velocity ω2 be (in rpm) after she pulls in her arms and they are at her sides parallel to her trunk? Assume that friction between the skater and the ice is negligble.

ω2=   rpm

In the figure, a very light rope is wrapped around a wheel of radius R = 1.2 meters and does not slip. The wheel is mounted with frictionless bearings on an axle through its center. A block of mass 14 kg is suspended from the end of the rope. When the system is released from rest it is observed that the block descends 9 meters in 2.6 seconds. What is the moment of inertia of the wheel (give answer to the nearest 0.1 kg m2.)

... Instead of two blocks and one pulley, let

A uniform marble rolls down a symmetric bowl, starting from rest at the top of the left side. The top of each side is a distance h above the bottom of the bowl. (a) How far up the right side of the bowl will the marble go if the interior surface of the bowl is rough so that the marble rolls without slipping? (b) How high would the marble go if the bowl's surface were frictionless? (c) For which case is the marble moving faster when it reaches the bottom of the bowl?

Two systems are formed from a converging lens and a diverging lens, as shown in parts a and b of the drawing. (The point labeled "Fconverging" is the focal point of the converging lens.) An object is placed inside the focal point of lens 1 at a distance of 6.00 cm to the left of lens 1. The focal lengths of the converging and diverging lenses are 15.0 and -20.0 cm respectively. The distance between the lenses is 50.0 cm. Determine the final image distance for each system, measured with respect to lens 2.

Calculate the approximate size of an excited hydrogen atom that emits at 408 MHz. One method for solving this is to calculate an expectation value using the true radial wavefunction.

lets work on problem 1 from lecture notes 4 as our example. A particle with a mass of 5.00 grams and a charge of 4 microcoulombs has a speed of 0.75 m/s when it passes through a point at which the potential is -1200 volts electron and a proton are released form rest in a uniform electric field that has a magnitude of 500 N/C. The energy and speed of each particle is measured after it has moved through a distance of 25 cm. Assume the particles do not influence one another, but are influenced only by the electric field. Without doing any calculations, determine which particle (a) has more kinetic energy, (b) has a higher speed, (c) takes more time to cover 25 cm. Justify your answers. Now calculate the kinetic Energy, speed and elapsed time for (d) the electron and (e) the proton.

A 2000 cm^3 container holds 0.10 mol of helium gas at 300 °C. How much work must be done to compress the gas to 1000 cm^3 at constant pressure? How much work to compress the gas to 100 cm^3 at constant temperature?