Write down Maxwell’s equations in differential and integral form and explain the physics behind each one of them. Modify one of them to account for the existence of magnetic monopoles.

Suppose you fire a projectile straight up from the Earth’s North Pole with a speed of 10.5km/s. Ignore air resistance. (a) How far from the center of the Earth does the projectile rise? How high above the surface of the Earth is that? (The radius of the Earth is RE = 6.37 × 106 m, and the mass of the Earth is M = 5.97 × 1024 kg.) (b) How different is the result you got in part (a) above from what you would have obtained if you had treated the Earth’s gravitational force as a constant (independent of height), as we did in previous chapters? (c) Using the correct expression for the gravitational potential energy, what is the total energy of the projectile-Earth system, if the projectile’s mass is 1, 000 kg? Now assume the projectile is fired horizontally instead, with the same speed. This time, it actually goes into orbit! (Well, it would, if you could neglect things like air resistance, and mountains and stuff like that. Assume it does, anyway, and answer the following questions:) (d) What is the projectile’s angular momentum around the center of the Earth? (e) How far from the center of the Earth does it make it this time? (You will need to use conservation of energy and angular momentum to answer this one, unless you can think of a shortcut. . .) (f) Draw a sketch of the Earth and the projectile’s trajectory.

The charges and coordinates of two charged particles held fixed in the xy plane are: q1=1.40 μC, x1=-5.100 cm, y1=7.200 cm, and q2=9.00 μC, x2=-5.215 cm, y2=10.498 cm, Find the magnitude and direction of the electrostatic force on q2.

What are the x and y coordinates of a third charge q3=7.00 μC, if the net electrostatic force on q2 is zero?

A 1700 kg car moving east at 17 m/s collides with a 1800 kg car moving south at 20 m/s, and the two cars stick together. Consider east the positive x-direction and north the positive y-direction.

a) What is the x-component of the initial momentum before the collision? ( -7100 kg·m/s, 64900 kg·m/s or 28900 kg·m/s)

b) What is the y-component of the initial momentum before the collision? (-36000 kg·m/s, -7100 kg·m/s, 64900 kg·m/s or 36000 kg·m/s)

c) What is the x-component of the two cars’ final velocity after the collision? (8.26 m/s, 17 m/s, 16.06 m/s)

d) What is the y-component of the two cars’ final velocity after the collision? (-20 m/s, -21.18 m/s, -10.29 m/s or 10.29 m/s)

e) What is the speed of the two cars after the collision?

f) How much kinetic energy is lost in the collision?

A solenoid with 2000 turns/meter is connected to a power source that delivers an increasing current i60t^2 Ampere.The solenoid has a length of 0.2 m and a radius of 0.05 m.

a.what is the magnetic field as a function of timr inside the solenoid?

b.Use Faraday's law to find the induced emf caused by this changing magnetic field.

Is there any relationship between electrostatic force, distance, and charge? Please explain.

A 30 m long pipe with an outside diameter of 75 mm is used to deliver steam at a rate of 2000 kg / hour. The vapor pressure is 198.53 kPa entering the pipe with a quality of 98%. The pipe needs to be given insulation with thermal conductivity of 0.2 W / (m K) so that the vapor quality only slightly decreases to 95%. The outer surface temperature of the insulation is assumed to be 25 ° C. Ignore the resistance conductive from the pipe material and considered no pressure drop in the pipe. a. Determine the enthalpy of incoming steam = kJ / kg.
b. Determine the enthalpy of steam coming out = kJ / kg.
c. Determine the change / heat loss of steam along the flow = watt.
d. Determine the minimum insulation thickness required = cm.

Determine and list two practical examples of levers (in the body or daily living) for each lever class. Do not use examples already discussed in this chapter. For each example identify the force, axis, and resistance. Also explain the advantage of using each lever- that is, whether it is to achieve balance, force, motion, speed, or range of motion.

A small solid sphere of mass M₀, of radius R₀, and of uniform density ρ₀ is placed in a large bowl containing water. It floats and the level of the water in the dish is L. Given the information below, determine the possible effects on the water level L, (R-Rises, F-Falls, U-Unchanged), when that sphere is replaced by a new solid sphere of uniform density.
Read it to me
R F U R or U F or U R or F or U  The new sphere has density ρ = ρ₀ and radius R < R₀
R F U R or U F or U R or F or U  The new sphere has density ρ > ρ₀ and mass M = M₀
R F U R or U F or U R or F or U  The new sphere has radius R > R₀ and density ρ < ρ₀
R F U R or U F or U R or F or U  The new sphere has mass M > M₀ and density ρ = ρ₀
R F U R or U F or U R or F or U  The new sphere has radius R = R₀ and mass M > M₀
R F U R or U F or U R or F or U  The new sphere has mass M = M₀ and density ρ < ρ₀

A 7 nC charge is located at the origin (0,0) cm and another 4 nC charge is located at (5,0) cm. What would be the net electric field at a point (5, 4) cm? If you now place a 2 nC charge at that point what would be the magnitude of the net force acting on it?

What do isodeformation conditions in composite materials mean and describe the rule of
mixtures for binary compounds.

You are given a vector in the xy plane that has a magnitude of 89.0 units and a y component of -60.0 units.

What are the two possibilities for its x component?

Assuming the x component is known to be positive, specify the magnitude of the vector which, if you add it to the original one, would give a resultant vector that is 80.0 units long and points entirely in the −x direction.

Specify the direction of the vector.

An explosion breaks an object into two pieces, one of which has 2.30 times the mass of the other. If 7700 J were released in the explosion, how much kinetic energy did each piece acquire(a) Calculate the velocity of the target ball after the collision.

heavier piece? ___J

lighter piece? ____J

A softball of mass 0.220 kg that is moving with a speed of 8.0 m/s (in the positive direction) collides head-on and elastically with another ball initially at rest. Afterward it is found that the incoming ball has bounced backward with a speed of 6.3 m/s.

(a) Calculate the velocity of the target ball after the collision
____m/s
(b) Calculate the mass of the target ball.
____ kg

A 707 kg car stopped at an intersection is rear-ended by a 1830 kg truck moving with a speed of 11.5 m/s. If the car was in neutral and its brakes were off, so that the collision is approximately elastic, find the final speed of both vehicles after the collision.
____ m/s (car)
____ m/s (truck)

If we dropped a Challenger SRT® Hellcat Redeye Widebody from a C-130 aircraft at 5,280 ft, how much horsepower would it take to drive past it before it hits the ground if you’re 1 mile away?

Pro Tips

Air density @ sea level, 59 degrees, no wind = p = .002377 slugs/ft^3

Coefficient of drag (flat plate, NASA) = C(d) = 1.28

Weight = W = 4451 lbs

Gravitation constant = g = 32.2 ft/sec^2

Area = A = 197.5" long x 78.2" wide x (1 ft^2/ 144 in^2)

Vehicle falls flat, wheels 1st, straight down, at constant acceleration with no aerodynamic drag until terminal velocity

Horsepower needed to accelerate is AVERAGE - not peak

100% driveline efficiency