Answer:
(a). The value of distance is 5.043 m
(b). The coefficient of friction is 0.302.
(c). The distance is 10.33 m
Explanation:
Given that,
Speed = 4.50 m/s
Minimum friction = 0.1
Maximum friction = 0.6
Distance = 12.5 m
We know that,
The newton's second law
[tex]F_{net}=-\mu N[/tex]
[tex]F_{net}=-\mu mg[/tex]
We know that,
The frictional coefficient is directly proportional to the distance.
We need to calculate the value of coefficient
Using general equation of frictional coefficient
[tex]\mu(x)=Ax+B[/tex]....(I)
At x= 0,
[tex]\mu(0)=0+B[/tex]
Put the value into the formula
[tex]B=0.1[/tex]
Now for value of A
Put the value in equation (I)
[tex] 0.6=A12.5+0.1[/tex]
[tex]A=\dfrac{1}{25}[/tex]
Put the value in equation (I)
[tex]\mu(x)=\dfrac{x}{25}+0.1[/tex]......(II)
We need to calculate the work done
Using work energy theorem
[tex]W=\int_{0}^{x}{F_{net} dx}[/tex]
[tex]W=\int_{0}^{x}{-\mu_{x}mgdx}[/tex]
[tex]W=-mg\int_{0}^{x}{(\dfrac{x}{25}+0.1)dx}[/tex]
[tex]W=-mg(\dfrac{x^2}{50}+0.1x)[/tex]....(III)
(a). We need to calculate the distance
Using difference of kinetic energy
[tex]W=\dfrac{1}{2}m(v_{f}^2-v_{0}^2)[/tex]
[tex]-mg(\dfrac{x^2}{50}+0.1x)=\dfrac{1}{2}m(0-(4.50)^2)[/tex]
[tex]\dfrac{x^2}{50}+0.1x=1.013[/tex]
[tex]x^2+5x=50.65[/tex]
[tex]x^2+5x-50.65=0[/tex]
[tex]x=5.043\ m[/tex]
(b). We need to calculate the coefficient of friction at the stopping point
Using equation (III)
[tex]\mu(5.043)=\dfrac{5.043}{25}+0.1[/tex]
[tex]\mu(5.043)=0.302[/tex]
(c). We need to calculate the distance
Using formula work done
[tex]W=-fx_{2}[/tex]
[tex]W=-\mu mgx_{2}[/tex]
[tex]-\dfrac{1}{2}mv_{0}^2=-\mu mgx_{2}[/tex]
[tex]x_{2}=\dfrac{v_{0}^2}{2\mu g}[/tex]
Put the value into the formula
[tex]x_{2}=\dfrac{(4.5)^2}{2\times0.1\times9.8}[/tex]
[tex]x_{2}=10.33\ m[/tex]
Hence, (a). The value of distance is 5.043 m
(b). The coefficient of friction is 0.302.
(c). The distance is 10.33 m
A car is moving with a constant speed of 15 meters per second. What total
distance does the car travel in 90 seconds?
Answer:
The car will of traveled 1,350 meters in those 90 seconds.
Explanation:
Which statement most accurately describes the surface of steel?
The force of gravity is also known as
Answer:
Gravitation
Explanation:
Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.
The force of gravity is also known as acceleration due to gravity g
The force of gravity which can also be expressed as gravitational force of attraction is also known as acceleration due to gravity
In the early science, scientist assume that the earth attracts all object to itself with a force called gravitational force of attraction. The S.I unit of the magnitude of this force, was initially expressed in Newton.
This gravitational force of attraction was latter addressed to be acceleration due to gravity in which the S.I unit of its magnitude is expressed in meter per squared meter.
Therefore, the force of gravity is also known as acceleration due to gravity
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what is the color that makes purple ?
ANSWER RED)BLUE
Answer:
both
Explanation:
really you don't know something from kindergarden
Two 125 kg bumper cars are moving toward each other in opposite directions. Car X is moving at 10 m/s and Car Z at −12 m/s when they collide headon. If the resulting velocity of Car Z after the collision is 10 m/s, what is the velocity of Car X after the collision?
Mass of two bumper cars, m₁ = m₂ = 125 kg
Initial speed of car X is, u₁ = 10 m/s
Initial speed of car Z is, u₂ = -12 m/s
Final speed of car Z, v₂ = 10 m/s
We need to find the final speed of car X after the collision. Let v₁ is its final speed. Using the conservation of momentum to find it as follows :
[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]
v₁ is the final speed of car X.
[tex]m_1u_1+m_2u_2-m_1v_1=m_2v_2\\\\m_2v_2=m_1u_1+m_2u_2-m_2v_2\\\\m_1v_1=125\times 10+125\times (-12)-125\times 10\\\\v_1=\dfrac{-1500}{125}\\\\v_1=-12\ m/s[/tex]
So, car X will move with a velocity of -12 m/s.
You launch a model rocket that has a mass of 1 kg. At a height of 500 m, it is
traveling at 120 m/s. What is its kinetic energy at this point?
A. 60 J
B. 14,400 J
C. 7,200 J
D. 29 J
SUBMIT
Answer:
7,200 j
Explanation:
:) :)) :)) :) :)))
Answer:
c. 7,200 J
Explanation:
did the quiz <3
When scientists replicate experiments they will often do so under different conditions than the original investigations. Why might this be helpful? Why do you think the astronaut replicated Galileo's investigation on the moon? -This is for science
Answer:
Scientists replicate other scientists' experiments to test if the result of the original investigations being tested should become a law, therefore, meaning if it should be generally accepted or discarded.
However, using different conditions than the conditions used in the original investigations is a method employed by scientists usually to:
1. Check if the values, equipment, used by the original investigations can give similar results if the values are lowered or increased and to also test if the result of the original investigations can be the same even if conditions are adjusted.
2. Check the accuracy of some experimental results especially when those original investigations are the first to speak about a new topic/finding. Definitely, other scientists would use different conditions to provide a broad knowledge and a general acceptance.
Galileo's investigation on the moon rejected popular beliefs of the content of the moon paved the way for further investigations by other astronauts. Galileo performed his investigations with equipment centuries back, coupled with the fact that his investigation didn't support an existing belief that paved the way for his investigation to be replicated by other astronauts.
ellus
A person weighs 784 N on Earth.
On the moon, Gmoon = 1.60 m/s2.
How much would this person
weigh on the moon?
F = [?]N
Hint: Use the gravity of the moon in F = ma.
Answer:
W'=125.44 N
Explanation:
The weight of a person on the surface of Earth is 784 N
Weight is given by :
W = mg
m is mass of the person and g is acceleration due to gravity on the surface of Earth (10 m/s²)
[tex]m=\dfrac{W}{g}\\\\m=\dfrac{784}{10}\\\\m=78.4\ kg[/tex]
The acceleration due to gravity on the surface of Moon, g' = 1.6 m/s²
Weight of the person on the moon is :
W'=mg'
[tex]W'=78.4\ kg\times 1.6\ m/s^2\\\\W'=125.44\ N[/tex]
Hence, the person would weigh 125.44 N on the Moon.
Answer:
129 N
Explanation:
The answer you're looking for is 129 N
Weight on Earth, divide by Earth's gravity (≈9.80), multiplied by the gravity of the Moon (≈1.60).
What is the final step of protein synthesis?
1. DNA “unzips”
2. A protein is made
3. mRNA carries the RNA strand to the cytoplasm
4. RNA attaches to a ribosome
Answer:
2
Explanation:
A protein is made...
please follow me..PLEASE HELP ME ASPAa car travels 500km in 4 hours find its speed in km/h
Answer:
solution
distance travelled : 500km
time taken:4 hour
speed:?
now
speed: distance travelled ÷ time taken
or, 500 ÷ 4
therefor,speed :125km/h
Which of the following correctly describes the horizontal and vertical
motion of an object projected horizontally with a speed, v, from a
height, h?
constant speed for both horizontal and vertical
acceleration for both horizontal and vertical is increasing
constant acceleration for horizontal: constant speed for vertical
constant speed for horizontal; constant acceleration for vertical
Answer:
The horizontal speed is constant because no forces act horizontally.
There is constant vertical acceleration (g = 9.8 m/s^2) due to the force of gravity.
The marching band organizes 80 students into 6 lines. How many students are in each line and how many students are left over
Answer:
13 students in each line, 2 leftover
Explanation:
12x6=72 add another 1 person to each line. Now you have used 78 students and 2 are leftover.
ANSWER WITH EXPLANAION GET"S BRAINLEST
what are three ways in which the branches of government must work together in order to be successful
AND
Of the 10 Amendments in the Bill of Rights discussed this week, which one do you believe is most important to our freedom as Americans? Why?
Explanation:
creating law(representers of citizens by hearing the vote of a citizen) doing the law (different Ministers will form different offices to make the law) courts
Answer:
By the time the Constitutional Convention met in Philadelphia in 1787, it had become clear to many American leaders that a more powerful federal government was necessary in order to effectively deal with the challenges facing the young nation.
Under the Articles of Confederation, the central government had neither the power to raise taxes nor the authority to regulate interstate commerce. Additionally, there was no established mechanism through which states could adjudicate conflicts. Many of the delegates to the Constitutional Convention understood that the Articles of Confederation would need to be supplanted entirely, not merely revised.
To this end, the delegates spent months debating and shaping the scope and contours of a new and more powerful federal government.
The result of the Constitutional Convention was the United States Constitution. The Constitution created a federal government consisting of three separate branches in order to impose checks and balances on the powers of each branch.
The executive branch would be headed by a president, who would be elected.
The legislative branch would be composed of an upper house, the Senate, and a lower house—the House of Representatives. Representation in the House would be based on population—including counting enslaved men and women at the proportion of three to five for the purposes of representation and taxation. Each state would elect two representatives to the Senate.
The judicial branch would consist of a Supreme Court and lower courts to interpret and apply the law.
Not everyone believed the new Constitution was a good idea. A number of individuals who had played important roles in the Revolution, like Samuel Adams and John Hancock, worried that a powerful federal government would inevitably become tyrannical and that the new Constitution would be merely replacing British tyranny with a homegrown variety. They worried that the president would usurp king-like powers and encroach upon the individual rights and freedoms of citizens.
In order for the Constitution to enter into force, it would have to be ratified by at least nine states, but several states threatened to refuse to ratify the document unless it included strong guarantees of individual rights and liberties. To this end, the delegates, led by Virginian James Madison set to work on drafting a list of checks on federal power that would ensure the full exercise of individual liberty.
The Bill of Rights consists of 10 amendments that explicitly guarantee certain rights and protections to US citizens by limiting the power of the federal government.
The First Amendment prevents the government from interfering with the freedoms of speech, peaceable assembly, and exercise of religion.
The Second Amendment declares that properly constituted militias are a safeguard of liberty and that the right to bear arms will be protected.
The Third Amendment restricts the quartering of soldiers in private homes—an extremely contentious issue that had led the colonists to war with Great Britain.
The Fourth Amendment protects citizens against unreasonable searches and seizures of private property.
The Fifth, Sixth, Seventh, and Eighth Amendments establish a variety of guarantees relating to legal proceedings and criminal justice, including the right to a trial by jury; protection against self-incrimination and double jeopardy, being tried twice for the same offense; the right to due process; prohibition of cruel and unusual punishment; and the right to face one’s accuser, obtain legal counsel, and be informed of all criminal charges.
The Ninth Amendment acknowledges that the other eight amendments are not an exhaustive list of all of the rights and protections to which citizens are guaranteed, and the Tenth Amendment declares that any powers not explicitly delegated to the federal government in the Constitution are to be left to the states. This reinforced the principle of federalism, or separation of powers, by ensuring that the federal government could not usurp rights and powers that were not explicitly authorized in the Constitution.
The Bill of Rights has proven to be one of the most influential documents in contemporary history, codifying the theory of natural rights, which holds that humans are granted certain freedoms and liberties by God, and that the state should not have the power to usurp or otherwise infringe upon those rights. This was a major departure from previous theories of individual rights, which were granted to citizens by the state or monarch. The Bill of Rights has influenced countless political leaders around the globe since their authorization into force in the United States.
Explanation:
PLEASE GIVE ME BRAINLIEST
In a museum exhibit, three equal weights are hung with
identical wires. Each wire can support a tension of no
more than 75.0 N without breaking. What is the maximum value
that W can be without breaking any wires?
A 50.0 N
B 25.0 N
C 75.0 N
D 35.0 N
Answer:(B) 25.0 N
Explanation:
This is what makes most since. You are wanting to look at the stress of the first wire. 25 *3 for the amount of balls handing of the string you get 75.0 N which is the max the top wire can hold without breaking! Hope this helps!
I need sum help on this
Answer:
space; matter
Explanation:
Like for example, your water bottle takes up space so it is called matter!
Hope this helps!
What is the difference between heterogeneous and homogeneous?
Answer:
Heterogenous is when something is alike or similar.
Homogenous is when something is different or it varies.
Explanation:
Brainliest plzzz!!!
Answer:
heterozygous = diverse in character/content or different
homogenous = of the same kind or alike
A chocolate lab puppy can sprint at a speed of 5.7 m/s. How far will the puppy run in 13 seconds?
Please help this is due soon!!
Draw the chemical reaction energy diagram for the synthesis of water. Then use the text box tool to write the names or chemical formulas of the reactants and products on the diagram.
Answer:
from plato
Explanation:
In the below diagram of water, H refers to the hydrogen atom and O is the oxygen atom.
For the formation of one water molecule, two hydrogen atoms combine or react with one oxygen atom. They make covalent bonds with each other means mutual sharing of electrons. In the formation of water molecules, the energy is released which tells us that exothermic reaction taking place. In the diagram we can see that first the line is higher but when the reaction is completed the line comes lower which shows that energy is released.
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2) Decapite the use of different types of measurement in as
country why is SI system introdused? Explain.
Answer:
If you don't know then skip it. XD
Explanation:
Which action might lead scientists to develop new explanations about the
universe?
A. Making a guess about how many stars are in the Milky Way galaxy
B. Wondering whether other planets can support life and whether
that life would be similar to life on Earth
C. Discovering new planets orbiting a star by detecting a wobble in
the star's motion
D. Being familiar with different types of galaxies that exist in the
universe
Answer:B
Explanation:
Being familiar with the different types of galaxies that exist in the universe is the action which might lead the scientists to develop new explanations about the universe. Thus, the correct option is D.
How did the universe developed?Many religious person, including many great scientists, hold that the God has created the universe and the various processes which are the driving physical and biological evolution and that these processes then resulted in the creation of the different galaxies, the solar system, and life on the planet Earth.
The Big Bang theory states that the universe came into being from a single, unimaginably hot and dense point more than about 13 billion years ago. This did not occur in an already existing space. Rather, it initiated from the expansion and cooling of space itself.
Therefore, the correct option is D.
Learn more about Universe here:
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A baby panda has a mass of 2.3 kg. What is the weight of the baby panda Newtons?
23 N
4 N
2.3 N
100 N
Answer:
23 N
Explanation:
PLEAS HURRY :) 10 POINTS + BRAINLIEST TO FIRST CORRECT ANSWER
How do the metal aluminum coils in an air conditioner help keep a house cool?
They insulate the house from outside thermal energy.
They conduct thermal energy from inside the house and release it outside the house.
They insulate the surrounding air from indoor thermal energy.
They conduct thermal energy from outside the house and release it inside the house.
Answer:
They conduct thermal energy from inside the house and release it outside the house. ... It reduces the amount of thermal energy that is transferred from outside to inside the container
Answer:
They conduct thermal energy from inside the house and release it outside the house
A bullet leaves a rifle with a muzzle velocity of 521 m/s. While accelerating through the barrel of the rifle, the bullet moves a distend of 0.840 m. Determine the acceleration of the bullet (assume a uniform acceleration)
A cyclist is traveling 10 m/s with an acceleration of 6 m/s2. How fast is the cyclist traveling at the end of 20 seconds
Answer:
The cyclist is traveling at 130 m/s
Explanation:
Constant Acceleration Motion
It's a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.
Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:
[tex]v_f=v_o+at[/tex]
The cyclist initially travels at 10 /s and it's accelerating at a=6m/s^2. We need to know the new speed when t= 20 seconds have passed.
Apply the above equation:
[tex]v_f=10+6\cdot 20[/tex]
[tex]v_f=10+120[/tex]
[tex]v_f=130\ m/s[/tex]
The cyclist is traveling at 130 m/s
Janayah runs 200 yards in 40 seconds. How fast is she running
Answer:
She is running 5 yards a second Or 300 yards a minute
Explanation:
Divide 200 by 40 to get the rate of speed in seconds
Answer:
≈ 10.23mph
Explanation:
1760yrds in 1 mile
200yrds to miles is:
200/1760 = .1136miles
3600sec in 1 hr
40sec to hours is:
40/3600 = .011111hrs
Now we find her speed in miles per hour:
.1136mi/.01111hrs ≈ 10.23mph
A force of 15 N is used to push a box along the floor a distance of 3 meters. Find the amount of work done.
Answer:
The answer is 45 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distanceFrom the question
force = 15 N
distance = 3 meters
We have
work done = 15 × 3
We have the final answer as
45 JHope this helps you
what is another name for "motion energy"?
Answer:Kinetic energy
Explanation:
A 120 kg box is on the verge of slipping down an inclined plane with an angle of inclination of 47º. What is the coefficient of static friction between the box and the plane?
Given :
A 120 kg box is on the verge of slipping down an inclined plane with an angle of inclination of 47º.
To Find :
The coefficient of static friction between the box and the plane.
Solution :
Vertical component of force :
[tex]mg\ sin\ \theta = 120\times 10 \times sin\ 47^\circ{}=877.62 \ N[/tex]
Horizontal component of force(Normal reaction) :
[tex]mg\ cos\ \theta = 120\times 10 \times cos\ 47^\circ{}=818.40 \ N[/tex]
Since, box is on the verge of slipping :
[tex]mg\ sin\ \theta= \mu(mg \ cos\ \theta)\\\\\mu = tan \ \theta\\\\\mu = tan\ 47^o\\\\\mu = 1.07[/tex]
Therefore, the coefficient of static friction between the box and the plane is 1.07.
Hence, this is the required solution.
A 52 N sled is pulled across a cement sidewalk at constant speed. A horizontal force of 36 N is exerted. What is the coefficient of sliding friction between the sidewalk and the metal runners of the sled?
Answer:
μ = 0.692
Explanation:
In order to solve this problem, we must make a free body diagram and include the respective forces acting on the body. Similarly, deduce the respective equations according to the conditions of the problem and the directions of the forces.
Attached is an image with the respective forces:
A summation of forces on the Y-axis is performed equal to zero, in order to determine the normal force N. this summation is equal to zero since there is no movement on the Y-axis.
Since the body moves at a constant speed, there is no acceleration so the sum of forces on the X-axis must be equal to zero.
The frictional force is defined as the product of the coefficient of friction by the normal force. In this way, we can calculate the coefficient of friction.
The process of solving this problem can be seen in the attached image.
Calculate the acceleration if you push with a 20-N horizontal force on a 2-kg block on a horizontal friction-free air table