A long solenoid has a diameter of 15.3 cm. When a current i exists in its windings, a uniform magnetic field of magnitude B = 32.8 mT is produced in its interior. By decreasing i, the field is caused to decrease at the rate of 5.15 mT/s. Calculate the magnitude of the induced electric field (a) 2.99 cm and (b) 11.7 cm from the axis of the solenoid.

It is difficult to extinguish a fire on a crude oil tanker, because each liter of crude oil releases 2.80×107 J of energy when burned. To illustrate this difficulty, calculate the number of liters of water that must be expended to absorb the energy released by burning 1.00 L of crude oil, if the water has its temperature raised from 24.5 °C to 100 °C , it boils, and the resulting steam is raised to 325 °C.

Use 4186 J/(kg·°C) for the specific heat of water and 2020 J/(kg⋅°C) for the specific heat of steam.

amount of water in L= ?

One of the greatest olympic weightlifters of all times- Soviet athlete Vasily Alekseyev- was once able to life 256 kg above his head in the upright (fully standing) position. Assume that this entire weight was supported equally by both femora. Compute the amount of compression (meaning change in length) of the athletes femora due to the lifted weight, assuming a Young’s modulus for the femur of 1.8 x 10^10 Pa, a femoral length of 50cm, and a femoral diameter of 3.0 cm. Ignore the weight of the athlete himself in this calculation. Assume the femur is cylindrical in shape. Hint: remember that there are two femora.

Electromagnetic radiation is emitted by accelerating charges. The rate at which energy is emitted from an accelerating charge that has charge q and acceleration a is given by dE/dt=q^2a^2/6πϵ0c^3 where c is the speed of light.

PartA: If a proton with a kinetic energy of 6.3 MeV is traveling in a particle accelerator in a circular orbit with a radius of 0.650 m, what fraction of its energy does it radiate per second?

PartB: Consider an electron orbiting with the same speed and radius. What fraction of its energy does it radiate per second?

1. An alien race passing through our solar system turns the Sun (1.98x10³⁰ kg) into a black hole

   using advanced gravity technology.

   1. Determine the radius of the Sun if it were made into a black hole.

   2. In 2-3 sentences, describe the effects on Earth and the rest of the solar system after the

      Sun is converted to a black hole.

A car is designed to get its energy from a rotating flywheel (solid disk) with a radius of 1.50 m and a mass of 600 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 4,000rev/min.

(a) Find the kinetic energy stored in the flywheel.

(b) If the flywheel is to supply energy to the car as a 15.0-hp motor would, find the length of time the car could run before the flywheel would have to be brought back up to speed.

(i) Explain the term half life. (ii) Explain how radioactive carbon dating works . (iii) The shroud of Turin is reputedly the burial garment used to wrap the body of Jesus 2000 years ago. A sample of the Shroud of Turin contains carbon 14 (C14). The half life of C14 is 5730 years and atmospheric C14 give 12 decays per minute per gram. An archaeologist measures an average decay rate from the shroud sample to be 1.5 decays per minute. Show by calculation whether this is consistent with the Shroud dating from the time of Jesus. (

Which requires more work, lifting a 25 -kg load a vertical distance of 8.5 meters or lifting a 15-kg load a vertical distance of 17 m?

A meter stick has a mass of 0.12 kg and balances at its center. When a small chain is suspended from one end, the balance point moves 29.0 cm toward the end with the chain. Determine the mass of the chain.

I need new and unique answers, please. (Use your own words, don't copy and paste), Please Use your keyboard (Don't use handwriting) Thank you..

talk in 500-520 words about (shear wave elastography)

Review Problem. Sir Lost-a-Lot dons his armor and sets out from the castle on his trusty steed in his quest to improve communication between damsels and dragons (Fig. P12.20). Unfortunately his squire lowered the draw bridge too far and finally stopped it 20.0° below the horizontal. Lost-a-Lot and his horse stop when their combined center of mass is 1.00 m from the end of the bridge. The uniform bridge is 9.50 m long and has a mass of 2400 kg. The lift cable is attached to the bridge 5.00 m from the hinge at the castle end, and to a point on the castle wall 12.0 m above the bridge. Lost-a-Lot's mass combined with his armor and steed is 950 kg. Suddenly, the lift cable breaks! The hinge between the castle wall and the bridge is frictionless, and the bridge swings freely until it is vertical. Figure P12.20

(a) Find the angular acceleration of the bridge once it starts to move. rad/s2 (

b) Find the angular speed of the bridge when it strikes the vertical castle wall below the hinge. rad/s2

(c) Find the force exerted by the hinge on the bridge immediately after the cable breaks. R = ( i + j) kN

(d) Find the force exerted by the hinge on the bridge immediately before it strikes the castle wall.

1. How much work does the electric field do in moving a -8.6

in an experiment, 60g of ice at -18C is mixed with 9g of steam at 130C (at 1 atm pressure). Neglecting any heat exchange with the surrounding.

(a)Determine the final state of the mixture.

(b) Determine the final temperature.

1 (a). Examine. with practicals examples, the general form of a particle undergoing sinmple harmonic motion and carefully explain all the associated terms