Mrs. Cunningturkey works at Mabash College as an executive assistant to the universally reviled President Less. President Less is widely known to care nothing about students, and every day chooses a random student car to tow away and crush for scrap metal.

On Monday morning, Mrs. Cunningturkey arrives to President Less’ office promptly at 0750. There she discovers the corpse of President Less and the murder weapon: a chicken leg from the nearby Starks Center. The body shows clear signs of blunt force trauma. At 0800, detectives from the Trawfordshire Police Department arrive and begin an investigation. The coroner notes that the temperature of the corpse is 32◦C and that the room temperature is 25◦C. Two hours later, the corpse is 31◦C. Assume that normal human body temperature is 37◦C.

The following people were seen in the vicinity of President Less’ office over the weekend:

• Professor Trix, who sometimes smokes cigars with President Less, was noticed leaving the building at 2200 the night before. However, President Less recently smoked a bunch of the professor’s favorite Cubans without him.

• Major Mustard, who is in charge of the Car Towing and Crushing Brigade, was seen in the parking lot at 2100 the night before. Major Mustard and President Less recently had an argument about money raised from the towing and crushing business. Major Mustard was especially concerned with the fact that another university’s towing and crushing business might ketchup.

• Muscles McTouchdown, captain of the football team and recent tow/crush victim, was seen running across campus towards the Beta Rho Omicron fraternity at midnight. He was overheard muttering “I’ve got him this time!

• Mark Bosak, a frequent critic of President Less in the campus publication The Spouseless, was seen walking in the direction of President Less’ office at 0100.

Investigators from the Trawfordshire Special Mathematics Unit also become involved, since mathematical crimes are considered especially heinous (these are their stories). They discover that President Less had been secretly embezzling funds from the tow/crush scheme. In 2018, he decided to take money he had made from the scheme and park it in two different banks:

• $10,000 with Tax-Dodge Bank, of the Cayman Islands. The account pays 5% interest compounded monthly.

• $15,000 with Euler Bank, based in Switzerland. This account pays only 4% but, befitting the name, compounds continuously.

(1) How fast is the body cooling at 0800? At 1000?

(2) Who is your chief suspect for the murder of President Less, and why?

(3) How much money will be in both secret bank accounts after 25 years?

Submit your evidence to your instructor by 1600 Friday. Your writing and exposition should be clear and concise, and good enough that a juror who knows some calculus (but not about Newton’s Law of Cooling or compound interest) would be able to read it!

If 200 g of ice at 0°C and 50 g of steam at 100°C interact thermally in a well-insulated container. The final state of the system will be;

( is loved it and got Tf= 64C ) ( so please choose an answer from the following multiple choices )

(a) A water steam mixture at 100°C
(b) Water at a temperature between 0°C and 50°C (c) 0.089 kg
(d) 0.12 kg
(e) A ice-water mixture at 0°C

a) Identify two attractive forces at work in an atom, and identify the kinds of particles each force acts between.

A farm truck moves due north with a constant velocity of 12.00 m/s on a limitless horizontal stretch of road. A boy riding on the back of the truck throws a can of soda upward and catches the projectile at the same location on the truck bed, but 19.0 m farther down the road.

Using appropriate fundamental therems of vector calculus derive macroscopic Maxwell's equations from microscopic equations with every detail.

Describe why some stars, such as white dwarfs and neutron stars become degenerate. What are the two fundamental physics principles that underpin the concept of degeneracy?

On a scale where the Sun is about the size of a grapefruit (7 centimeters) and the Earth is about 15 meters away, how far away from Earth is the nearest star? A) about 7×10−2 meters. B) about 2×101 meters. C) about 5×103 meters. D) about 5×106 meters. E) There is not enough information to tell.

COURSE: Material Physics

3. In the process of producing ceramic powder, mesh is often used as a unit of measure for powder. Explain the meaning of the mesh! How do you get powder between 255-400 mesh?

4. Mention the various tests to find out ductile or brittle material! Explain briefly!

What total capacitances can you make by connecting a 4.14 µF and 8.81 µF capacitor together?

series ____µF

parallel____ µF

2) A merry-go-round has a radius of 1.75 m and a rotational inertia of 600 km-m2. A child pushes the merry-go-round with a constant force of 102 N applied at the edge and parrallel to the edge. A frictional torque of 32 N.m acts at the axel of the merry-go-round.
a) What is the torque applied by the child?

b) What is the rotational acceleration of merry-go-round?
c) The child stops pushing after 18 seconds, if merry-go-round had started from rest how long will it take for the merry-go-round to stop turning?

An electric field given by E→ = 1.7î - 1.8(y² + 8.4)ĵ pierces the Gaussian cube of edge length 0.180 m and positioned as shown in the figure. (The magnitude E is in newtons per coulomb and the position x is in meters.) What is the electric flux through the (a) top face, (b) bottom face, (c) left face, and (d) back face? (e) What is the net electric flux through the cube?

Blocks A (mass 4.00 kg ) and B (mass 7.00 kg ) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 4.00 m/s . The blocks are equipped with ideal spring bumpers. The collision is head-on, so all motion before and after the collision is along a straight line. Let +x be the direction of the initial motion of block A.

Find the maximum energy stored in the spring bumpers?

Find the velocity of block A when the energy stored in the spring bumpers is maximum?

Find the velocity of block B when the energy stored in the spring bumpers is maximum?

Find the velocity of block A after they have moved apart?

Find the velocity of B after they have moved apart?

You shine a laser on a plastic prism made from an unknown material and measure the angles relative to the normal that the light takes both inside and outside the medium. You make a plot of sin ?_inside versus sin ?_outside for the plastic object and calculate the slope of best-fit line of your plot to be 0.79365 ± 0.05669. What is the index of refraction of the plastic object?

Correct Answer: 1.26 +/- 0.09

How do you get the 0.09 uncertainty?

A)The mass of the Moon is 7.4 × 10²² kg, its radius is 1.74 × 10³ km, and it has no atmosphere. What is the acceleration (in m/s²) due to gravity at the surface of the Moon? (G = 6.67 × 10^-11 N ∙ m²/kg²)

B)From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.54g? (G = 6.67 × 10^-11 N ∙ m²/kg², M_earth = 5.97 × 10²⁴ kg, R_earth = 6.38 × 10⁶ m)

C)A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has an 8.0 m radius, at how many revolutions per minute will the riders be subjected to a centripetal acceleration whose magnitude is 1.5 times that due to gravity?

D)An automobile with 0.260 m radius tires travels 83000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear?