a 11.8-kg cylinder rolls without slipping on a rough surface. at an instant when its center of gravity has a speed of 10.2 m/s, determine the following.

Answers

Answer 1

The answers are:

a.) The translational kinetic energy of its center of gravity:  638.144J  

b.)The rotational kinetic energy about its center of gravity 319.072 J

c.) Its total kinetic energy 957.216 J

Given:

M = 11.8 kg cylinder

V = speed of center of gravity = 10.2m/s

(a) Translational kinetic energy = 1/2mv²

1/2x 11.8kg x 10.2²

= 11.8x108.16/2

= 1276.288/2

= 638.144 J

This is the translational energy

(b) Rotational energy =1/2Iw²

I = mv²/2

w = v/r

When we substitute

1/2[mv²/2][v/r]²

= 1/4mv²

= 1/4 x 11.8 x 10.2²

= 1276.288/4

= 319.072

This is the rotational energy

(c) Total kinetic energy:

We add the values of A and B above to get this.

638.144 J + 319.072 J

= 957.216J

Complete question: A 11.8-kg cylinder rolls without slipping on a rough surface. At an instant when its center of gravity has a speed of 10.2 m/s, determine the following. (a) the translational kinetic energy of its center of gravity (b) the rotational kinetic energy about its center of gravity (c) its total kinetic energy.

To know more about kinetic energy visit:

https://brainly.com/question/6998424

#SPJ4


Related Questions

Macmillan Learning
A black mamba snake has a length of 2.60 m and a top speed of 4.50 m/s. Suppose a mongoose and a black mamba find
themselves nose to nose. In an effort to escape, the snake accelerates past the mongoose at 8.37 m/s² from rest.
How much time ftop does it take the snake to reach its top
speed?
How far dsnake does the snake travel in that time?
How much time freact does the mongoose have to react before
the black mamba's tail passes the mongoose's nose?
ftop
dsnake =
freact=
S
m
S

Answers

Answer:

Explanation:

Δt = Δv/a = (4.5 m/s) / (8.37 m/s²) = 0.538 s  = time to reach top speed

d = Vi + 1/2at²

d = 0 + 1/2(8.37 m/s²)(0.538 s)² = 1.21 m = distance snake traveled while accelerating

t = d/v = (2.60 m - 1.21 m) / (4.5 m/s) = 0.31 s = reaction time before snake tail passes mongoose nose

According to the question of speed, ftop is 0.9578 s, dsnake is 2.14 m, freact is 0.4773 s.

What is speed?
Speed is the rate at which an object moves from one place to another. It is expressed in units of distance per unit of time, such as miles per hour or kilometers per hour. Speed is a scalar quantity, meaning that it has magnitude but no direction. Acceleration, on the other hand, is a vector quantity that has both magnitude and direction. Speed is directly related to the amount of time it takes an object to move from one point to another, and is inversely proportional to the time it takes to cover a given distance. Speed can also be affected by external factors such as wind, terrain, and friction. Speed is an important concept in physics and is often used to calculate the kinetic energy of an object.

ftop = 0.5 × (8.37 m/s²) / (4.50 m/s) = 0.9578 s

dsnake = 0.5 × (4.50 m/s) × (0.9578 s) = 2.14 m

freact = 2.14 m / (4.50 m/s) = 0.4773 s

To learn more about speed
https://brainly.com/question/13943409

#SPJ1

choose a process and system that match the following energy description: the kinetic energy of an object becomes gravitational potential energy of the system\

Answers

One process and system that matches the following energy description: "the kinetic energy of an object becomes gravitational potential energy of the system" is a roller coaster.

How does the conversion of gravitational potential energy to kinetic energy and vice versa in a roller coaster contribute to the thrill and excitement of the ride?

The conversion of gravitational potential energy to kinetic energy and vice versa in a roller coaster contributes to the thrill and excitement of the ride because it creates a sense of acceleration, speed and height. As the roller coaster car goes up the hill, the rider feels a pull in their stomach as they gain potential energy, and as the car goes down the hill, they feel a rush of speed as they gain kinetic energy. This back and forth conversion of energy creates a sense of unpredictability and excitement for the rider. Additionally, the change in speed and direction also create an illusion of weightlessness as the riders feel themselves being pulled out of their seats. This all together creates an exciting and thrilling experience for the riders.

In a roller coaster, a train or cars are pulled to the top of a hill using a motor or chain lift. As the train goes up the hill, it gains gravitational potential energy. As the train goes over the hill and down the other side, it loses gravitational potential energy and gains kinetic energy. This process continues as the train goes through various hills and valleys on the roller coaster.

To know more about conversion of energy, visit: https://brainly.com/question/11234965

#SPJ4

Taste substance binding elicits conformational change of taste receptor T1r heterodimer extracellular domains
Sweet and umami tastes are perceived by T1r taste receptors in oral cavity. T1rs are class C G-protein coupled receptors (GPCRs), and the extracellular ligand binding domains (LBDs) of T1r1/T1r3 and T1r2/T1r3 heterodimers are responsible for binding of chemical substances eliciting umami or sweet taste. However, molecular analyses of T1r have been hampered due to the difficulties in recombinant expression and protein purification, and thus little is known about mechanisms for taste perception. true or false

Answers

Due to challenges with recombinant expression and protein purification, T1r molecular studies have been impeded. The mechanisms underlying taste perception are so poorly understood. The claim is accurate.

How do taste receptors work?The oral cavity's T1r taste receptors can detect sweet and umami flavors.T1rs are G-protein-coupled class C receptors (GPCRs)Chemicals that produce an umami or sweet taste bind to the extracellular ligand binding domains (LBDs) of the T1r1/T1r3 and T1r2/T1r3 heterodimers.The T1r receptors are responsible for the perception of sweet and umami tastes, but due to the challenges in studying them, there is limited understanding of how these receptors function.The units of pressure and temperature must be consistent with the units of R, which has a specific value depending on the units used.In the case of the bicycle tire, psi and Kelvin were used because they are the units that are consistent with the value of R in the ideal gas law.The units of pressure and temperature must be consistent with the units of R, which has a specific value depending on the units used.In this case, while it's possible to use other units, psi and Kelvin are the most convenient and standard units to use in this context.

To llearn more about taste receptors refer:

brainly.com/question/10733985

#SPJ4

A spring has an unstretched length of 0.40 meter. The spring is stretched to a length of 0.60 meter when a 10.-newton weight is hung motionless from one end. The spring constant of this spring is?
O 10. N/m
O 17 N/m
O 25 N/m
O 50. N/m

Answers

The spring constant of this spring is 50 N/m, therefore, 4th option is correct.

What is spring constant?

Spring constant is the amount of force (in newtons) required to extend a spring by one meter. In this case, the spring constant is 25 N/m. This can be calculated by taking the force (10 N) divided by the amount of extension (0.60 m - 0.40 m = 0.20 m).

[tex]$ \Rightarrow \mathrm{ \frac{10 N}{0.20 m} = 50N/m}[/tex]

The force necessary to expand or compress the spring by a specific quantity is measured, and the spring constant is then calculated. The force needed to extend or compress the spring by a specific amount may be calculated by measuring it, multiplying it by the extension or compression, and then dividing the result by the force.

The behavior of a system using springs, such as a shock absorber or any other device that employs springs, is significantly influenced by the spring constant. It may also be used to figure out how much force a spring can produce when it is squeezed or expanded.

Thus, The spring constant of this spring is 50 N/m, therefore, 4th option is correct.

To know more about spring constant, visit

brainly.com/question/14159361

#SPJ4

(a) A fundamental law of motion states that the acceleration of an object is directly proportional to the resultant force exerted on the object and inversely proportional to its mass. If the proportionality constant is defined to have no dimensions, determine the dimensions of force. (Use the following as necessary: M, L, and T.)
[force] =


(b) The newton is the SI unit of force. According to the results for (a), how can you express a force having units of newtons using the fundamental units of mass, length, and time? (Use the following units as necessary: kg, m, and s.)

Answers

The behavior of things is predicted by Newton's first law of motion when all external forces are equal.

What is Newton's second law?

The first law, sometimes known as the law of inertia, asserts that if an object's forces are balanced, its acceleration will be zero meters per second.

When all forces are balanced, an object is said to be in equilibrium and won't accelerate. Newton postulated that an item will only accelerate in the presence of a net or unbalanced force. An object will accelerate if there is an imbalanced force present, changing its direction, speed, or both.

Newton's second law of motion pertains to the behavior of objects for which all existing forces are not balanced. The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

Therefore, The behavior of things is predicted by Newton's first law of motion when all external forces are equal.

To learn more about Force, refer to the link:

https://brainly.com/question/13191643

#SPJ1

Other Questions
operations and sales are the two ________ functions in businesses. In your own word, decribe how the church acquired o much wealth during the middle age The establishment of maquiladoras by United States corporations for the production of electronics components is an example of which of the following?(A) Exploitation of union labor(B) Industrialization(C) The new international division of labor(D) Tertiary economic activity(E) Political Imperialism and Colonialism Need help with this equation Which of the following is the best example of physical weathering?a. the cracking of rock caused by the freezing and thawing of water.b. the transportation of sediment in a stream.c. the wearing of way of rock due to acid rain.d. the formation of a sandbar along the side of a stream. A typical supply curve shows that an increase in the price of a good will cause the quantity supplied to:A. decrease.B. increase.C. remain constant.D. fluctuate randomly around its equilibrium value. list the pharaohs responsibilities in the chart below political and religious in principle all chemical reactions are reversible and can reach dynamic equilibrium if all the reactants and products are present. this state occurs when the k of the forward and reverse reactions are equal. True or false? 4 A popular board game includes a five-sectionspinner to determine the number of spaces aplayer moves during a turn. The results of10 spins are shown.SpinSpacesMoved1 2 3F 0.1G 0.65 44 5 6 7 8 9 102 5 1 3 5 4 5 2What is the experimental probability a playerwill move 2 spaces and 5 spaces during agame?H 0.08J Not here Some countries, such as Japan, or parts of a country, like California in the United States, have a lot of earthquakes. In these places it is a good practice to build houses and other buildings so they will not collapse when there is an earthquake. This is called seismic design or "earthquake-proofing".What type of text structure is being used? What does Bilbo Baggins's statement ""I dont know half of you half as well as I should like; and I like less than half of you half as well as you deserve"" mean? How do you find the nth sum?. there are many advantages to using a project management software package. among them are which of the following? multiple select question. it can generate multiple levels of summary reports and detailed reports. it automatically formats reports. it can make sure that all vendors submit their bills using the same format. it can enhance communication among team members. it enables what-if scenarios. it imposes a methodology and a common project management terminology. team members can track their time each pay period. it can flag the occurrence of constraint violations. it can generate various chart types, including basic gantt charts. it provides a logical planning structure. Know the five canons of rhetoric : invention , arrangement , style , memory , delivery which of the following writers would least likely support the goals of wollstonecraft? group of answer choices a conservative absolutist an abolitionist a classical liberal a utopian socialist which one of the following sentences uses correct punctuation? 1 point maria, and i are roommates. my date of birth is september, 17, 1972. i graduated from university on may 28, 2002. i worked in this company for more than 20 years Is x = 6 a solution to the equation x + 13 = 18?A. No, because 6 + 13 = 18 is not true.B. Yes, because 6 + 13 = 18 is not true.C. No, because 6 + 13 = 18 is true.D. Yes, because 6 + 13 = 18 is true. n + 3 = -6pls solve for n :) Which statement would be most important to include in an accurate and objective summary of the article?A. The U.S. used its power to control it's Central America and Cuba in order to benefit its own government and businesses.B. The U.S. interfered in a war between Cuba and Spain that resulted in a situation that unfairly benefited American businesses.C. The U.S. used diolomacy with Colombia to negotiate the independence of Panama as well as the building of a large canel.D. The U.S. agreed to bring its businesses to neighboring countries only if they promised not to do business with Europe. olds that our behavior is determined by internal factors, such as individual traits or temperaments. group of answer choices situationism dispositionism collectivism moralism