Usain Bolt has a mass of 94.1 kg and he had a KE of 7,250 J when running the one hundred meter dash. Calculate how fast he was running

Answers

Answer 1

Answer:

[tex]\displaystyle v = 12.4134 \ m/s[/tex]

General Formulas and Concepts:

Energy

Kinetic Energy Formula: [tex]\displaystyle KE = \frac{1}{2}mv^2[/tex]

m is mass (in kg)v is velocity (in m/s)

Explanation:

Step 1: Define

Identify variables.

KE = 7250 J

m= 94.1 kg

Step 2: Solve for v

Substitute in variables [Kinetic Energy Formula]:                                       [tex]\displaystyle 7250 = \frac{1}{2}(94.1)v^2[/tex]Isolate v term:                                                                                               [tex]\displaystyle 154.091 = v^2[/tex]Isolate v:                                                                                                         [tex]\displaystyle v = 12.4134[/tex]

Topic: AP Physics 1 - Algebra Based

Unit: Energy


Related Questions

A quantity that has its own unit and is not derived from another is called a .

Answers

Answer:

Derived quantities are derived from the Fundamental quantities and so the answer is Fundamental Quantity.

A quantity that has its own unit and is not derived from another is called a Fundamental quantity.

The given problem is based on the concept of Fundamental quantities. A fundamental quantity is a physical quantity which does not depends on any other quantities.

For example - Kilogram (kg) is a fundamental quantity, that is unique and it is used to determine the mass of any object.Meter (m) is the fundamental quantity that determines the length of dimensions. Second (s) is the fundamental quantity, that determines the time.

Fundamental quantities are the independent quantities which are utilized for the derivation of another type of physical quantities, known as derived quantities.

Thus, we can conclude that a quantity that has its own unit and is not derived from another is called a Fundamental quantity.

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Any vector can be expressed as the sum of two components, usually
referred to as what?

Answers

Two vectors can be added together to determine the result (or resultant). ... computing the vector sum of all the individual forces acting upon that object.

i hope u understand

the schwarzschild radius of a black hole depends on

Answers

Answer:

The mass of the object.

Explanation:

Happy Thanksgiving!

The Schwarzschild radius of a black hole depends solely on its mass. The Schwarzschild radius is a concept in general relativity that defines the boundary known as the event horizon.

The formula for the Schwarzschild radius is given by:

r_s = 2GM / c²

Where: r_s is the Schwarzschild radius

As the mass of the black hole increases, its Schwarzschild radius also increases. This means that a more massive black hole has a larger event horizon and a stronger gravitational pull.

The mass of the black hole is the primary factor determining the size of the Schwarzschild radius, while other properties, such as spin or charge, can also affect the structure and behavior of the black hole but do not directly impact the Schwarzschild radius.

Therefore,The Schwarzschild radius of a black hole depends solely on its mass.

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the ground wire on a household circuit is typically what color

Answers

Answer:

Hey mate....

Explanation:

This is ur answer.....

Green & Yellow

Hope it helps!

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The ground wire on a household circuit is green in color in a typical household

What is an electric charge?

Charged material experiences a force when it is subjected to an electromagnetic field due to the physical property of electric charge. You can have positive or negative electric charges (commonly carried by protons and electrons respectively). opposing charges attract one another whereas similar charges repel one another. We refer to an object as neutral if it has no net charge.

The charge on one electron is -1.6 ×10⁻¹⁹ coulomb.

The ground wire is either bare or has green insulation in most residential branch circuit cables in the US.

The norm in Europe and the UK is

live, brown

neutral is blue.

stripes with green and yellow: earth.

Thus,the ground wire on a household circuit is green in color in a typical household

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A 22 kg body is moving through space in the positive direction of an x axis with a speed of 190 m/s when, due to an internal explosion, it breaks into three parts. One part, with a mass of 13 kg, moves away from the point of explosion with a speed of 130 m/s in the positive y direction. A second part, with a mass of 2.2 kg, moves in the negative x direction with a speed of 460 m/s. What are the (a) x-component and (b) y-component of the velocity of the third part

Answers

Answer:   Our notation is as follows : the mass of the original body is M=20.0kg ; its initial velocity is  

ν

 

0

=(200m/s)  

i

^

 ; the mass of one fragment is m  

1

=10.0kg ; its velocity is  

ν

 

1

=(100m/s)  

j

^

 ; the mass of the second fragment is m  

2

=4.0kg ; its velocity is  

ν

 

2

=(−500m/s)  

i

^

 ; and , the mass of the third fragment is m  

3

=6.00kg . Conservation of linear momentum requires  

          M  

ν

 

0

=m  

1

 

ν

 

1

m  

2

 

ν

 

2

+m  

3

 

ν

 

3

 .  

The energy released in the explosion is equal to ΔK , the change in kinetic energy .  

(a) Using the above momentum -conservation equation leads to  

             

ν

 

3

=  

m  

3

 

M  

ν

 

0

−m  

1

 

ν

 

1

−m  

2

 

ν

 

2

 

 

             =  

6.00kg

(20.0kg)(200m/s)  

i

^

−(10.0kg)(100m/s)  

j

^

−(4.0kg)(−500m/s)  

i

^

 

 

          =(1.00×10  

3

m/s)  

i

^

−(0.167×10  

3

m/s)  

j

^

.  

The magnitude of  

ν

 

3

 is  

                        ν  

3

=  

(1000m/s)  

2

+(−167m/s)  

2

 

=1.01×10  

3

m/s  

It points at θ=tan  

−1

(−167/1000)=−9.48  

 (that is at 9.5  

 measured clockwise from the +x axis) .  

(b) The energy released is ΔK :  

             ΔK=K  

f

−K  

i

=(  

2

1

m  

1

ν  

1

2

+  

2

1

m  

2

ν  

2

2

+  

2

1

m  

3

ν  

3

2

)−  

2

1

Mν  

0

2

=3.23×10  

6

J

Explanation:

A flea sits on the edge of a classic record album that is making 1 revolution in 0.56s. The flea is 0.20m from the center of the record
a. what is the fleas velocity?
b. What is the fleas centripetal acceleration?

Answers

Hi there!

We can begin by finding the angular velocity using dimensional analysis:

[tex]\frac{1 rev}{0.56 s} * \frac{2\pi rad}{1 rev} = 11.22 rad/sec[/tex]

(A)

Find the flea's velocity using the following relationship:

v = ωr

v = (11.22)(0.20) = 2.24 m/s

(B)

Centripetal acceleration is given by:

a = ω²r

a = (11.22²)(0.20) = 25.18 m/s²

A block with initial velocity of 3 m/s slides 9 m across a rough horizontal surface before coming to rest. What is the coefficient of kinetic
friction?

Answers

The coefficient of kinetic friction between the block and the horizontal surface is 0.051.

The given parameters;

initial velocity, u = 3 m/sdistance traveled by the block, s = 9 m

The acceleration of the block is calculated as follows;

[tex]v^2 = u^2 + 2(-a)s\\\\v^2 = u^2 - 2as\\\\a = \frac{u^2 - v^2}{2s} \\\\a = \frac{3^2 - 0^2}{2\times 9} \\\\a =0.5 \ m/s^2[/tex]

The coefficient of kinetic friction between the block and the horizontal surface is calculated as follows;

[tex]\mu_k mg = ma\\\\\mu_k = \frac{a}{g} \\\\\mu_k = \frac{0.5}{9.8} \\\\\mu_k = 0.051[/tex]

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Explain how potential and kinetic energy are at play when we talk about Newton’s second law of motion?

Answers

Answer:

represents the energy the object possesses by virtue of its motion. ... This type of energy is generally known as kinetic energy. Thus, Equation (16) states that any work done on point object by an external force goes to increase the object's kinetic energy.

Explanation:

     

   The relation between some bodies are involved by Object's position and motion, i.e., through potential and kinetic energy in which it actually explained by Newton's second law of motion.

What is Newton's second law of motion?

Definition:

      Newton's second law states that force is equal to the rate of change of momentum, i.e., the mass and velocity.

It can be written as F = mv where m is mass and v is velocity. Potential energy can be described by a body's position while kinetic energy is possessed by a body's  motion. Both forms of energy are influenced by forces and are equal to the total momentum. Momentum can be described by explaining the mass and velocity of the object.

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Find the acceleration if the force is 10 N and the mass is 5000 g.

Answers

Answer:

If the force is 10N and mass is 5000G, then a=2m/s2

Explanation:

F=10N

m=5000

g=5kg

a=10N/ 5kg

and finally; a= 2m/s2

true and false? When an object remains stationary, any forces acting on it must be balanced.

Answers

Answer:

Balanced forces acting on a stationary object cause the object to remain at rest. True: Forces can give energy to an object it acts on causing the object to change it state of motion. If forces acting on an object are balanced, they do not cause a change in motion.

Answer:

False

Explanation:

It is NOT possible for just three forces to be acting upon an object and they still balance each other. A free-falling object experiences a balance of forces.

What does the state of matter of an object depend on?

type of molecules

size of molecules

speed of molecules

number of molecules

Answers

The answer is: C - speed of molecules

Explanation:

A substance's state of matter — solid, liquid, gas, or plasma — depends on how its molecules move and maintain their volume and shape.

List examples of how the Bill of Rights protects you:
.
.
.
.
.

Answers

guaranteeing freedom of speech, press, assembly, and exercise of religion

A wooden block moves at a constant speed on a rough horizontal surface. Draw a free-body diagram
clearly showing all the forces applied to the block; compare their magnitudes and directions.

Answers

The weight of the block and normal reaction are equal in magnitude but opposite in direction. Also, the frictional force and applied force are equal in magnitude but opposite in direction.

The forces acting on the wooden block moving at a constant speed include the following;

weight of block acting downwards, Wnormal reaction on the block acting upwards, Napplied force on the block acting towards positive x-direction, Ffrictional force acting towards negative x-direction, [tex]F_f[/tex]

The free-body diagram is presented below;

                                         

                                              N

                                              ↑

                               [tex]F_f[/tex]      ←  ⊕  →   F

                                              ↓

                                              W

The block is moving at a constant speed, we will have the following;

[tex]W = N \\\\F = F_f[/tex]

Thus, we can conclude that the weight of the block and normal reaction are equal in magnitude but opposite in direction. Also, the frictional force and applied force are equal in magnitude but opposite in direction.

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ali starts moving his car from rest and accelerates it at 5 m/s^2 over 8 seconds. what is the velocity of ali's car reached by the end of these 8 seconds ?

Answers

Explanation:

u=0, v=?, a=5m/s², t=8sec

So, by the formula,

v=u+at

v=0+5×8

v=40m/s.

hope this helps you .

What do scientists call a substance that contains atoms from two or more different elements that are chemically bonded?

Atom
Compound
Element
Molecule

Answers

Answer is b compound is a substance that contains two or more elements chemically combined in a fixed proportion. The elements carbon and hydrogen combine to form many different compounds.

what animal that does not eat meat

Answers

Answer:

An animal that doesn’t eat meat is called a herbivore. An few examples would be cows, rabbits, horses, and goats.

:)

Which will be different on the moon than it is on Earth?

weight

mass

Answers

Answer:

Below

Explanation:

On the moon, an objects weight will be different than it is on earth. This is because we cannot change the mass of an object, the mass of an object is the measure of matter an object has. However the weight is depended on the gravitational pull of whatever planet you are on. In this case, weight will be lighter on the moon than it is on earth because the moon's gravitational pull is 1.62 m/s^2 while earths is around 9.8 m/s^2.

Hope that helps!

Wind energy is the example of A) potential energy B)mechanical energy C) Kinetic energy

Answers

Answer:

Kinetic Energy

Explanation:

Its on the internet

if the amplitude of a sound wave is tripled, the intensity will:

Answers

Answer:

Increase 9 times

Explanation:

A car accelerates from 20m/s to 25m/s in 4s as it passes a truck. What is the distance travelled?​

Answers

Answer:

afcorse 1 miles

Explanation:

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The distance travelled by car is displacement which is

What is displacement?

Displacement is defined to be the change in position of an object.

[tex]s=\frac{1}{2} (v+u)t[/tex]

[tex]s=\frac{1}{2} (25+20)4\\s= 90 m[/tex]

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7. A taxi is travelling at 15 m/s. Its driver accelerates with acceleration 3 m/s2 for 4 s. What is its new velocity​

Answers

Hi there!

To solve, we can use the following equation:

vf = vi + at

vi = initial velocity (m/s)

a = acceleration (m/s²)

t = time (s)

vf = final velocity (m/s)

Plug in the given values:

vf = 15 + 3(4)

vf = 15 + 12 = 27 m/s

Answer:

[tex]\boxed {\boxed {\sf 27 \ m/s}}[/tex]

Explanation:

We are asked to find the new or final velocity of a taxi.

We will use the following kinematic equation:

[tex]v_f=v_i+at[/tex]

The car was initially traveling at 15 meters per second. It accelerated at 3 meters per second squared for 4 seconds.

[tex]v_i=[/tex]15 m/s[tex]a=[/tex]3 m/s ²t= 4 s

Substitute the values into the formula.

[tex]v_f= 15 \ m/s + (3 \ m/s^2* 4 \ s)[/tex]

Multiply the numbers in parentheses.

3 m/s/s * 4 s = 3 m/s *4 = 12 m/s

[tex]v_f= 15 \ m/s +12 \ m/s[/tex]

Add.

[tex]v_f=27 \ m/s[/tex]

The new velocity of the taxi is 27 meters per second.

Which of the followng is Newton's Second Law?

a. An object in motion will stay in motion unless acted upon by an unbalanced outside force
b .Force = mass times acceleration
c.When one object puts a force on the another object, the second object puts a force back on the first, equal in magnitude and opposite in direction

Answers

Answer:

A

Explanation:

A kitchen has a water supply, an electricity supply and electric lighting there are several electrical appliances in the kitchen including a toaster, akettle a clothes iron, a microwave oven and a dishwasher discuss three hazards of using electricity in this kitchen ?

Answers

The hazards of using electricity in this kitchen include the following below:

Risk of electric shocks: These electrical appliances use an electric source for their various functions in which electric current flows through them when

turned on. Exposure and contact of the naked wire with individuals will bring

about shock.

Risk of burns: The kitchen has various heating appliances such as toaster,

kettle,iron and oven which may result in burns if not carefully handled.

Risks of fire : The heat and electric current from these appliances can trigger a spark and fire which may raze down the building is also another hazard.

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Which sense is used to determine whether an object is something you might want to eat?

smell

sight

taste

all of the above

Answers

Answer: D, All of the above!

Explanation:

I just helped my daughter with this test and it was correct!! Good luck !!

what is the full meaning of hip​

Answers

Answer:

History in Perspective (education) HIP. Health Information Professional. HIP.

Explanation:

hope this helps

With an average velocity of 8.3 m/s, what is the displacement (including its sign) of a sled during a straight run of 12 s?

Answers

Answer:

this question makes no sense with out a reference point or direction.

2. In a race, if a runner starts and stops at the same position, what is their
displacement? *

Answers

Answer:

It is the same

Explanation:

I Jsut know

Part IV Objects on an incline w/ Tension + Friction
1. A small 63 kg sleigh is pulled by a rein attached to horse up a 15'angle hill to the
horizontal. The tension of the rein is 510 N. The coefficient of kinetic friction is
0.25
a. What is the normal force that the sleigh exerts on the hill?
b. What are the magnitude and direction of the sleigh's acceleration?

Answers

(a) The normal force on the sleigh is 596.36 N.

(b) The magnitude and direction of acceleration of the sleigh is 3.2 m/s² upwards.

The given parameters;

mass of the sleigh, m = 63 kginclination of the hill, θ = 15⁰tension on the rein, F = 510 Ncoefficient of friction, μ = 0.25

The normal force on the sleigh is calculated as follows;

[tex]F_n = mg \times cos(\theta)\\\\F_n = 63 \times 9.8 \times cos(15)\\\\F_n = 596.36 \ N[/tex]

The magnitude and direction of acceleration of the sleigh is calculated as follows;

[tex]\Sigma F= ma\\\\F - mgsin(\theta) - F_f = ma\\\\F - mgsin(\theta) - \mu F_n = ma\\\\510\ - \ 63 \times 9.8 \times sin15 \ -\ 0.25\times 596.36 = 63a\\\\201 .11 = 63a\\\\a = \frac{201.11}{63} \\\\a = 3.2 \ m/s^2 \ upwards[/tex]

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1 point
A roller coaster is 20 m high and traveling 11 m/s. If the roller coaster has a
mass of 150 kg, what is its total energy? (only put the number, no units or
commas)

Answers

Answer:

ETotal=38505J

Explanation:

Known values:

m=150kg

h=20m

v=11m/s

KE=mv^2/2

PE=mgh

ETotal=PE+KE

KE=(150(11^2))/2

KE=9075

PE=150(9.81)(20)

PE=29430

ETotal=9075+29430

ETotal=38505J

this planet has a very toxic atmosphere that traps heat, making it the hottest planet in the solar system.

Answers

Answer:

Venus

Explanation:

basic 2nd grade smarts "no offense"

Other Questions
Below is an excerpt from the home loan contract Kyle signed with his bank. The sum of the principal of the loan and all applicable interest will be divided into 360 monthly payments according to the amortization schedule. The Buyer shall make each monthly payment by the first day of the month it is due. A payment not received by the first day of the month it is due will be considered delinquent. A payment not received by the fifteenth day of the month it is due will be subject to a late charge of $75.00. If a payment is not received by the last day of the month it is due, the Buyer and transaction shall be reported to the appropriate credit agencies. In the event of delinquency, the Buyer may divide any payment not received into not more than three equal installments to be included on the next consecutive monthly payments. Notification of the Buyers intent to do so must be made by written letter or phone call to the phone number and address listed below within one business week of delinquency. Due to some changes at his job and the resulting loss of income, Kyle will not be able to make his monthly payment by the first of the month. He does expect to be able to make it by the 9th of the month. According to the contract, what does Kyle need to do?a.Other than pay the monthly payment, Kyle does not need to do anything.b.Notify the bank to let them know that his payment is going to be eight days latec.Divide this payment into three payments to be included in future monthly payments.d.Include an extra $75.00 with his payment to cover the late fee that will be assessed. (7,1) and (-5,1)Find the slope of the line that passes through the 2 points. A 115 kg hockey player, Adam, is skating east when he tackles a stationary 133 kg player, Bob. Afterward, they move at 1.35 m/s east. What was Adam's velocity before the collision? (Unit = m/s) _____ indicates action or state of being.An adjectiveA nounA prepositionA verb A food store is making 60 jars of vegetables. Each jar will get 7.83 ounces of peas and carrotscombined. The food store has 384 ounces of peas for all the jars, and the carrots will be dividedequally among the jars. How many ounces of carrots will go into each jar? The temperature of one furnace is 1,200C and cools at a rate of 15C per minute. The temperature of another furnace is 900C and is heated at a rate of 5C per minute. After how many minutes will the furnaces be the same temperature? Write the answer as a whole number or decimal. __ minute(s) Mingli has some pens. Has Mingli any pens? Above making question is it correct? Determine the amount in grams of KCl that exists in 20.3 g of a solution that contains 1.14 % KCl by mass 1.14 g KCl If f(1)=3f(1)=3 and f(n)=f(n-1)^2-3f(n)=f(n1) 2 3 whatsthe value of f(4)f(4) Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets withthe same number of each fruit in each basket. What is the greatest number of fruitbaskets he can make? How many of each type of fruit will be in the baskets? if 1 dollar equals 0.72p what is the exchange rate from pounds to dollars one reason this practice stopped was that the Queen was recognized as the supreme poet of Tonga. D. a and b are true but c is not. E. all of the above are true Which of the following is an example of exposition?A. Mark saying that he is nervous because he has messed up interviews in the past.B. Kevin revealing that Linda is dead.C. Mark telling Linda that he did not impress the recruiter.D. The recruiter asking Make questions. you eat 3/10 of a packetof donuts. your friend eats 1/5 ofthe pack of donuts. How much ofthe pack do you and your friendeat? If the earth were not tilted on its axis, what would be the results What is operations management and its role? Write a 5-8 sentence paragraph to answer the essential question. Make sure to include a topic sentence as well as examples and explanations form the texts. Each selection throughout the unit should generate a different perspective on the topic. from the story prologue to The Canterbury TalesAfter reading prologue to The Canterbury Tales, I have learned 2 things about how people come to have different views of society. three fifths of the children in a school are boys seven eighths of the girls in the school are right handed. What fractions of the children in the school are left handed girls? It is normal for some newborn babies to lose weight in their first week of life. Baby Todd's birth weight was 10 pounds. One week after being born, he is 10% lighter. What is Todd's current weight? pounds Submit !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9