3.I am trying to figure out the optimal radius that will give the lowest surface area of a cylinder. I
have done the calculus which reveals that the surface area is at a minimum when height is double the radius. I am now trying to find an equation for the relationship between the amount of wasted surface area as a percentage of the minimum surface area and the ratio between height and radius.
If I were to plot it on a graph, the y axis would be the percentage of excess materials needed as a percentage of the minimum possible surface area, and the x axis would be height divided by radius. Since the surface area is minimized when height=2(radius), I know that when x=2, y=0.
The website https://www.datagenetics.com/blog/august12014/index.html explains what I am trying to do quite well and shows the graph below. I am trying to find the equation for this graph, but am unsure how to go about it.
4.Please check options and pictures within the file attached.
If the questions can be answered within a free demo session
hin a free demo session as I have my answers, but just want to confirm them, that would be greatly appreciated.
A block of mass M = 0.10 kg is attached to one end of a spring with spring constant k = 100 N/m . The other end of the spring is attached to a fixed wall. The block is pushed against the spring, compressing it a distance x = 0.04 m . The block is then released from rest, and the block-spring system travels along a horizontal, rough track. Data collected from a motion detector are used to create a graph of the kinetic energy K and spring potential energy Us of the system as a function of the block's position as the spring expands. How can the student determine the amount of mechanical energy dissipated by friction as the spring expanded to its natural spring length?
The Atwood’s machine shown consists of two blocks connected by a light string that passes over a pulley of negligible mass and negligible friction. The blocks are released from rest, and m2 is greater than m1. Assume that the reference line of zero gravitational potential energy is the floor. Which of the following best represents the total gravitational potential energy U and total kinetic energy K of the block-block-Earth system as a function of the height h of block m1?
A 2 kg block is placed at the top of an incline and released from rest near Earth’s surface and unknown distance H above the ground. The angle θ between the ground and the incline is also unknown. Frictional forces between the block and the incline are considered to be negligible. The block eventually slides to the bottom of the incline after 0.75 s. The block’s velocity v as a function of time t is shown in the graph starting from the instant it is released. How could a student use the graph to determine the total energy of the block-Earth system?
A block slides across a flat, horizontal surface to the right. For each choice, the arrows represent velocity vectors of the block at successive intervals of time. Which of the following diagrams represents the situation in which the block loses kinetic energy?
5.I have assignment1. Captain Proton, having broken out of his cell, needs to distract the vicious genetically engineered killer hounds patrolling
etically engineered killer hounds patrolling the grounds of the FORTRESS OF MISERY. Fortunately, Captain Proton has a piece of bone to whittle into a flute (assume this is a tube open at both ends). A sound with a frequency of 23015 Hz will disable the Killer hounds. Assuming a speed of sound of 334 m/s, how long must the flute be so that its fundamental frequency will disable the Killer Hounds? (3 points)
2. The delivery entrance of the FORTRESS OF MISERY is guarded by a Destructo-Bot that is programmed not to respond to any sound less than 50 dB in relative intensity. Captain Proton will set off a small explosion 10.0 m from the Bot. How much power must the explosion’s sound carry in order to exceed 50 dB at the Bot’s position. Assume that I0 is 1.0*10-12¬¬ W/m¬2. Surface area of a sphere = 4πr2. (5 points)
that is due tonight
7.I have 5 questions I am stuck on. Please help!
1. Enter the correct answer in the box.
Facundo crochets and sells
chets and sells baby blankets, b. Each blanket requires 3 skeins of yarn, and the total number of skeins Facundo uses, y, varies directly as the number of blankets he crochets, b.
Write an equation that models this relationship.
2. The weight of an object, w, varies inversely as the square of its distance from the center of Earth, d. When an astronaut stands in a training center on the surface of Earth (3,960 miles from the center), she weighs 155 pounds. To the nearest tenth of a pound, what will be the approximate weight of the astronaut when she is standing on a space station, in orbit 240 miles above the training center?
3. The square of g varies inversely as h. When g = 16, h = 2. What is the value of h when g = 40?
4. The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day. If k is the constant of variation, which equation represents this situation?
5. The battery life for Bruhier’s cell phone is longer when he has fewer apps running. When only one app is running, the battery will last for 16 hours. When four apps are running, the battery will only last for 4 hours.
I have trouble with math word problems i don't get this
An airplane flies at an altitude of 14,690
4,690 ft while a submarine is submerged at a depth of 521 feet below the surface of the ocean.. What is the difference between these two elevations?
Journal entry content must contain the following:
Restate the applied problem in your own words.
Write an algebraic expression for the given applied problem.
Simplified the algebraic expression.
In the context of the applied problem, explain what your simplified algebraic expression represents