The speed at which Matt ran is 10 miles per hour. Therefore, option (B) is the correct answer.
Matt runs at a speed of x miles per hour, whereas Doug does it at a speed of 2 miles per hour faster. Doug's speed will thereafter be equal to x + 2 miles per hour. Since there are four quarter-mile laps, Doug completes 1.5 miles in the time it requires Matt to complete 1.25 miles.
Matt:
Speed = x
Distance = 1.25
Time = [tex]\frac{1.25}{x}[/tex]
Doug:
Speed = x+2
Distance = 1.5
Time = [tex]\frac{1.5}{x+2}[/tex]
Making an equation by putting the two timings on the chart equal to one another and then solving for x will reveal that the two boys took the same amount of time from the moment Doug started.
[tex]\frac{1.5}{x+2}[/tex] = [tex]\frac{1.25}{x}[/tex]
1.5x = 1.25 (x+2)
0.25x = 2.5
x = 10
Therefore, Matt’s speed is 10 miles per hour.
The complete question is:
Doug, who runs track for his high school, was challenged to a race by his younger brother, Matt. Matt started running first, and Doug didn’t start running until Matt had finished a quarter-mile lap on the school track. Doug passed matt as they both finished their sixth lap. If both boys ran at a constant speed, with Doug running 2 miles an hour faster than Matt, what was Matt’s speed?
A. 10.5 miles per hour
B. 10 miles per hour
C. 9 miles per hour
D. 8 miles per hour
E. 7.5 miles per hour
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QC A 3.00 -g copper coin at 25.0°C drops 50.0m to the ground. (a) Assuming 60.0% of the change in gravitational potential energy of the coin-Earth system goes into increasing the internal energy of the coin, determine the coin's final temperature. "
The final temperature of the coin is determined as 25.76 ⁰C.
Gravitational potential energy of the coin-Earth system
P.E = mgh
where;
m is mass of the coinh is height of fallP.E = 0.003 x 9.8 x 50
P.E = 1.47 J
Increase in the internal energy of the coinQ = 60% of 1.47 J
Q = 0.6 x 1.47 J
Q = 0.882 J
Final temperature of the coin
Q = mcΔθ
Q = mc (T - 25)
where;
c is specific heat capacity of copper = 389 J/kgK0.882 = 0.003 x 389(T - 25)
0.756 = T - 25
T = 25.76 ⁰C
Thus, the final temperature of the coin is determined as 25.76 ⁰C.
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hich of the following is a pointing device that can be useful if you have very limited space on your desk?
Common pointing devices used to control screen movement include computer mouse, touch pads, touch screens, graphics tablets, and trackballs. Some of these devices, such as mic and joysticks, can be added to the computer system according to your needs.
Pointing device is a general term for any device used to control cursor movement on a computer screen.
For desktop computers, the most common pointing device is the computer mouse. A touchpad is the most common pointing device on laptop computers. Finally, the most common pointing device on smartphones and tablets is the finger on the touchscreen.
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A long solenoid with closely spaced turns carries electric current. Does each turn of wire exert (a) an attractive force on the next adjacent turn, (b) a repulsive force on the next adjacent turn, (c) zero force on the next adjacent turn, or (d) either an attractive or a repulsive force on the next turn, depending on the direction of current in the solenoid?
An attractive force on the next adjacent turn of wire exerted.
A long solenoid with closely spaced turns carries electric current, then the force does each turn of wire exert on the next adjacent turn is attarctive.
By combining a solenoid and a bar magnet, an electric current is generated. Which adjustments will result in a reduction in the amount of electric current generated?When a solenoid and a bar magnet are used to create an electric current, the amount of wire loops in the solenoid that are used to create the current decreases. Magnetic field of solenoid depends on the number of coils present in the solenoid and the amount of current flowing from the coil.
If we increases the number of coils present in the solenoid then the electric current is also increases.Fewer no. of loops on the solenoid decreases the amount of electric current present in that coil.Using a stronger magnet near the solenoid also increases the strength of the electric current, as of the induced magnetic field.Moving a solenoid instead of magnet inside the loop, is also increases the electric current.And moving of magnet near and far away from the solenoid fastly or slowly also increases the electric current, due to electro magnetic induction.To know more about solenoid , visit :
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(b) At what speed does the classical kinetic energy underestimate the experimental value by 1 % ? (c) By 5 %? (d) By 50 % ?
(b) The classical kinetic energy underestimates the experimental value by 1% at speed u = 0.115c.
(c) The classical kinetic energy underestimates the experimental value by 5% at speed u = 0.257c.
(d) The classical kinetic energy underestimates the experimental value by 50% at speed u = 0.786c.
Kinetic energy, which may be seen in the movement of an object, particle, or group of particles, is the energy of motion.
The classical kinetic energy is given as:
K(c) = (1/2)mu² = (1/2)mc²(u/c)² = (4.5 × 10 ¹⁶) (u/c)²
The actual kinetic energy of the object is given as:
K(r) = [ (1 /(√1-(u/c)²) - 1]mc² = ( 9 × 10⁶)[ (1 /(√1-(u/c)²) - 1]
(b) The speed at which the classical kinetic energy underestimates the experimental value by 1% is:
K(c) = 0.99K(r)
When (1/2) (u/c)² = 0.990 [ (1 /(√1-(u/c)²) - 1]
Solving this we get,
u = 0.115c
(c) Similarly energy underestimates experiment value by 5% :
K(c) = 0.950K(r)
When u = 0.257c
(d) Energy underestimates experiment value by 50% :
Then,
K(c) = 0.500 K(r) when the speed is u = 0.786c
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Which structural damage could be expected if a Category 3 hurricane is predicted to hit an area?(1 point)
Well-built framed homes could sustain severe damage, with loss of most of the roof structure and some exterior walls.
Well-constructed frame homes could have damage to the roof, shingles, vinyl siding, and gutters.
A high percentage of framed homes could be destroyed, with total roof failure and wall collapse.
Well-built framed homes could incur major damage or removal of roof decking and gable ends.
The structural damage which could be expected if a Category 3 hurricane which is predicted to hit an area is high percentage of framed homes could be destroyed, with total roof failure and wall collapse and is denoted as option C.
What is Hurricane?This refers to the rapidly rotating storm which has a low-pressure center and is characterized by strong winds ad thunderstorms and of different types such as category 1 to 3.
Category 3 hurricane leads to loss of lives and properties which is depicted as framed homes being destroyed with total roof failure and wall collapse which is why option C was chosen.
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if you had to explain science to a fifth grader, what would you say?
Answer: It is the study of the environment and objects around us and how they interact with each other. It is a systematic study that involves collecting information, observing,and experimentation.
Explanation:
The formulation of kepler's laws of planetary motion relied on the data and observations of which scientist other than kepler?
The formulation of Kepler's laws of planetary motion relied on the data and observations of Tycho Brahe
Kepler's laws of planetary motion are as follows:
The Planets orbit in an elliptical orbit with sun as its focus.A planet whichever position in its orbit it may be present, it covers the same area in space in the same amount of time.The time taken by a planet to complete one rotation is proportional to the size of the orbit.Tycho Brahe used a telescope to propose a model in which the planets orbit around the sun but the sun orbits the Earth in elliptical orbits. This provided a clear idea for Kepler about the position of planets.
Therefore, the formulation of Kepler's laws of planetary motion relied on the data and observations of Tycho Brahe
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instantaneous power output of a single phase 60 hz generator will be constant under following condition:
Instantaneous power output of a single phase 60 hz generator will be constant under reactive power.
What is reactive power?Responsive power is otherwise called: ghost power. One more method for making sense of this is that responsive power is the resultant power in watts of an air conditioner circuit when the ongoing waveform is out of stage with the waveform of the voltage, normally by 90 degrees assuming the heap is simply receptive and is the consequence of either capacitive or inductive burdens. A model is fueling a brilliant light, in a responsive burden energy stream toward the heap a fraction of the time, though in the other half power streams from it, which gives the deception that the heap isn't dispersing or consuming power. Receptive power is one of the three kinds of force present in stacked circuits.
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The average bond dissociation energy of a carbon-carbon bond is 410 kj/mol. What wavelength in nanometers of ultraviolet radiation has an energy of 410 kj/mol?.
The average bond dissociation energy of carbon-carbon bond is 410 kj/mol. 292 wavelength in nanometers of the ultraviolet radiation has an energy of 410 kj/mol.
What do you mean by wavelength?The distance between the two successive crests or troughs of wave is known as its wavelength. It is measured in wave's direction.
The distance wave travels between its crests or troughs is known as its wavelength (which may be an electromagnetic wave, a sound wave, or the any other wave). Wave's crest is its highest point, while its dip is the lowest. Since wavelength is a measure of both the distance and length, it is expressed in the length units such meters, centimeters, millimeters, and nanometers.
Wavelength of light varies with the colors, i.e., it is different for the every color. Red color has the longest wavelength while violet has least. The wavelength of the UV radiation is shorter than the violet light. Similarly, the wavelength of the infra red radiation is longer than the wavelength of red light.
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A glass slab of density 2500kg/m3 measures 20cmx10cmx50cm what is maximum pressure
Answer:
A =150
I think it will help you bro
Jasmine is driving a car and has a mass of 60 kg. Laura is her passenger and has a mass of 90 kg. Jasmine suddenly brakes to avoid hitting a deer. Who experiences the greatest force due to the seatbelt?
Jasmine. She has the least mass.
Laura. She has the greatest mass.
Laura. She has the greatest speed.
Jasmine. She has the least speed.
(b) What If? If this conductor is reshaped to form a circular loop and carries the same current, what is the value of the magnetic field at the center?
given l=0.44m ,I=8.8A
a)the magnetic field produced by each side of square is given by
B =(μ₀I/4πa)(sinθ₁-sinθ₂)
where θ₁=45° ,θ₂=-45° and a=l/2
each side produces a field into the page .the four sides altogether produce
B₍center₎=4B =4(μ₀I/4πa)(sinθ₁-sinθ₂) =(μ₀I/π(l/2))(sin45-sin45)
B ₍center₎ =(2√2μ₀I/π1)
B ₍center₎ =2√2*4π*10⁻⁷*8.8/π*0.44 =2.26*10⁻⁵T or 22.6μT into the page
b)now the conductor is reshaped into single turn circular coil.
for single turn circular coil 41=2πR =>R=21/π
B =μ₀I/2R =μ₀I/2(21/π) =μ₀πI/41
B =4π*10⁻⁷*π*8.8/4*0.44 =1.974*10⁻⁵T or 19.74μT.
What is conductor?A conductor permits current to pass through it effortlessly. On the surface of conductors, there is an electric charge.
When held in a magnetic field, conductors do not retain energy. Electrons make up the current. In contrast, an insulator blocks the flow of electricity via it.
Conductors are classified into four types: excellent conductors, semiconductors, resistors, and non-conductors.
Metals, aqueous salt solutions (ionic chemicals dissolved in water), graphite, and the human body are all examples of conductors.
Most metals are thought to be good electrical current conductors. Copper is simply one of the most common materials used in conductors. Silver, gold, and aluminum are other materials that are occasionally employed as conductors.
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if a ball is thrown straight up into the air with an initial velocity of 8080 ft/s, its height in feet after tt second is given by y
The average velocity for the time period beginning when t=1 and lasting
(i) 0.01 seconds = 63.84 ft/s
(ii) 0.001 seconds = 63.984 ft/s
Given that a ball is thrown with an initial velocity = 80 ft/s
Let 'y' be the height in feet after 't' seconds.
Given, [tex]y=80t-16t^2[/tex] gives the height in 't' seconds.
Average velocity = Rate of change of distance
= Change in distance/Change in time.
The initial time can be taken as 0 s.
When t =1 s, y = 80 - 16 = 64 ft
(1) t = 0.01 s
y = 80 x 0.01 - 16 x 0.01 x 0.01 = 0.7984 ft
Average velocity = (64 - 0.7984) / (1 -0.01) = 63.84 ft/s
(2) t = 0.001 s
y = 80 x 0.001 - 16 x 0.001 x 0.001 = 0.079984 ft
Average velocity = (64 - 0.079984) / (1 -0.001) = 63.984 ft/s
The question is incomplete. Find out the complete question below:
If a ball is thrown straight up into the air with an initial velocity of 80 ft/s, it height in feet after t second is given by [tex]y=80t-16t^2[/tex] .Find the average velocity for the time period beginning when t=1 and lasting
(i) 0.01 seconds
(ii) 0.001 seconds
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The temperature of a silver bar rises by 10.0°C when it absorbs 1.23 kJ of energy by heat. The mass of the bar is 525g . Determine the specific heat of silver from these data.
Because most particles fired at metal foil passed straight through, rutherford concluded that.
Because most particles fired at metal foil passed straight through, Rutherford concluded that only a small area of an atom is positively charged called the nucleus.
In 1911, Rutherford's atomic model rejected J.J Thomson's model with his famous metal foil experiment.
According to Rutherford's atomic model, an atom is the smallest particle having a core nucleus.
It can not be further disintegrated and it is composed of other fundamental objects i.e. electrons, protons, and neutrons.
In the core of an atom, there is an extremely dense, minute object called the nucleus which contains positive charges, and around it, electrons revolve in circular paths called orbitals.
To put it simply, this model suggests that when electrons interacted with gold metal foil, most particles changed their path after colliding with the massive dense nucleus.
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What determines how long a projectile that has been launched from ground level is in the air?.
Basically what determines how long a projectile that has been launched from ground level is in the air are: the initial velocity and the effect of the force of gravity.
The time of flight of a projectile is defined by the following equation:
t(of)=2*t max
Where:
t(of) = time of flightt max = time to reach maximum heightThe maximum time is defined by the following equation:
t max = v₀/ g
Where:
v₀ = initial velocityg = gravityThat means that the higher the initial launch velocity, the longer the projectile will be in the air.
What is vertical launch upwards?In physics vertical launch upwards is the motion described by an object that has been launched vertically upwards in which the height and the effect of the earth's gravitational force on the launched object are taken into account.
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Raquel says, “I just saw an ad that has my favorite song and my favorite colors. It’s for the new theme park in town. I love theme parks.” A businessperson would say that this ad accurately _____ Raquel.
A.
challenges
B.
applies
C.
targets
D.
networks
Answer:
C. Targets
Explanation:
Because the Ad for the theme park effectively caught Raquel's attention, a businessperson would say that the ad accurately targeted Raquel. Marketers use specific colors, themes, designs, songs, etc to target a specific audience.
WHAT IS THE interelationship between environment and mineral
Minerals are non–renewable natural resources that are vital for the construction, manufacturing and energy industries. The aim of sustainable mineral development is to ensure mineral use is kept to a minimum amount without having a negative impact on economic growth. This is achieved by efficient use of minerals as well as recycling and the use of alternative materials.
Also, it is important that the natural environment is protected from damage that may be caused by mineral extraction. This will help maintain biodiversity and ensure that contamination is not a problem for future generations. Mineral planning at local, regional, national and EU level ensures the environment is protected and that resources are used sustainably. Recycling, reuse, and conservation of energy and mineral resources are important in achieving these goals.
If Michael Jordan has a vertical leap of 4.62 m, then what is his takeoff speed? Assume his acceleration would only be gravity and at his highest point he would be moving 0 m/s. (TWO decimal places and POSITIVE)
Takeoff speed will be 9.52 m/s
Given,
Vertical leap = Distance covered, S = 4.62 m
According to the Third Equation of Motion which relates Initial and final velocities with the distance and acceleration, we can say that
[tex]v^{2} = u^{2} + 2as[/tex]
v = 0 m/s (final speed)
a = g = -9.81 m/s² ('a' is taken negative because acceleration is acting towards the ground)
S = 4.62 m
So according to the equation,
u² = - 2 * (-9.81) * 4.62
u² = 90.644
[tex]u = \sqrt{90.644}[/tex]
u = 9.52 m/s
Therefore the initial speed or the takeoff speed of Michael Jordan for the Vertical leap of 4.62m will be 9.52 m/s.
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Abigail is pushing a reluctant goat through a gate. She does 800 J of work and it takes her 4 seconds. Calculate the power Abigail generates.
A goat that is being pushed by Abigail through a gate. It takes her 4 seconds and 800 J of work.
The amount of electricity Abigail produces Identity foreclosure on identity
Identity foreclosure, or having an identity but only having ideas and characteristics they have just absorbed from their parents, friends, or group, is a characteristic of adolescence. In addition to having a distinct identity and being prone to discovering it,
Identity foreclosure young individuals in this age group also have a propensity to be influenced by a variety of factors, most notably their families and environments.
In other words, young individuals at this age are still not open to explore new possibilities and concepts; instead, they are following established norms.
Combining the urgent need to delve into one's own identity with
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What fitness industry is among the easiest to avoid
The fitness industry that is among the easiest to avoid for people who want to get and stay fit is the industry of losing weight.
This is because fitness training includes anything from cardiovascular exercises, like running, jogging, etc to strength training like bench presses, deadlifts, squats, etc.
However, when it comes to losing weight, this involves a variety of exercises and this can be difficult and takes time, hence, people tend to avoid it.
What is Fitness?This refers to the process of working out or engaging in exercises in order to be in a healthy state and well-being.
Hence, we can see that The fitness industry that is among the easiest to avoid for people who want to get and stay fit is the industry of losing weight.
This is because fitness training includes anything from cardiovascular exercises, like running, jogging, etc to strength training like bench presses, deadlifts, squats, etc.
However, when it comes to losing weight, this involves a variety of exercises and this can be difficult and takes time, hence, people tend to avoid it.
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how will the gravitational force between the moon and a spacecraft change as the spacecraft nears the moon? it will increase. it will increase. it will repel the spacecraft. it will repel the spacecraft. it will decrease. it will decrease. it will remain the same.
As the spacecraft nears the moon, its gravity will increase.
This is because the gravitational force between objects is inversely proportional to their distances from each other.
The gravitational force between a spacecraft and moon will also increase as they get closer together due to tidal forces. Tidal forces are caused by differences in water levels at either side of an object and are strongest when two objects are close together (i.e., when they're orbiting).
Therefore, When a spacecraft is close to the moon, the gravitational force between it and the moon will increase.
What does the term "tidal force" mean?Tidal forces are the outward pushing and pulling of water caused by the gravitational pull exerted on seawater by a larger body. They play an important role in coastal dynamics, including wave formation, erosion, and sedimentation.To learn more about tidal force, visit:
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Halley’s comet has a perihelion distance of 0. 6 au and an orbital period of 76 years. What is the aphelion distance of halley’s comet from the sun?.
The Hailey's comet aphelion distance from the sun is 36 A. U.
The Hailey's comet perihelion distance = 0.6 amu
The Hailey's comet orbital period = 76 years
According to Kepler's law,
The time duration is T.
T = 76 years.
The semi-major axis is a.
The semi-major axis of Hailey's comet is,
[tex]T ^{2} =a ^{3} [/tex]
[tex]a = \sqrt[3]{(T) ^{2} }[/tex]
[tex]a = \sqrt[3]{(76) ^{2} }[/tex]
= 18 A. U
The semi-major axis of Hailey's comet is 18 A. U.
The Hailey's comet aphelion distance from the sun is,
= 2 × a
= 2 × 18
= 36 A. U
Therefore, Hailey's comet aphelion distance from the sun is 36 Astronomical Units.
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A wrecking ball has a mass of 650 kg. it swings from a cable that is 21 m long. the centripetal force on the ball is 56 n. what is the tangential speed of the wrecking ball? 1.3 m/s 1.8 m/s 46 m/s 870 m/s
By using centripetal force, the tangential speed is 1.35 m/s.
We need to know about centripetal force to solve this problem. The centripetal force is a force caused by moving objects in a circular motion. The magnitude of the centripetal force depends on tangential speed, mass and radius. It can be written as
Fc = m . v² / r
where Fc is the centripetal force, m is mass, v is tangential speed and r is the radius.
From the question above, we know that
m = 650 kg
r = 21 m
Fc = 56 N
By substituting the given parameters, we get
Fc = m . v² / r
56 = 650 . v² / 21
v² = 1.81
v = 1.35 m/s
Hence, the tangential speed is 1.35 m/s.
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Answer:
A. 1.3 m/s
Explanation:
Person above is correct!
Attached these other pictures just incase. : )
For the last picture its is:
✔ V
✔ W
✔ Y
Newton's fist law is just about what happens if no force is applied.
O True
O False
Answer:
True
Explanation:
Answer:TRUE
Explanation:
Two types of spiral galaxies exist. A normal spiral galaxy is one kind. Which phrase best describes the second type of spiral galaxy?.
The option 4 best describes the second type of spiral galaxy.
In a spiral galaxy, the revolving disc is surrounded by spiral 'arms' that extend outward from a compact center area. With yellowish bulges in the middle, spiral galaxies look as flat, blue-white disks of stars, gas, and dust.
These galaxies are classified into two types: regular spirals and barred spirals.
Regular spiral galaxies have a complicated structure: a large central bulge at the center of a revolving disc with a spiral structure that originates at the bulge. Spiral galaxies are encircled by sparsely populated halos, which are approximately spherical areas above and below the plane of the discs. In contrast to regular spiral galaxies, barred spirals have arms that link to the two ends of a straight bar of stars that has a nucleus at its center.
Thus, option 4 best describes the second type of spiral galaxy.
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Two types of spiral galaxies exist. A normal spiral galaxy is one kind. Which phrase best describes the second type of spiral galaxy?
is football-shapedis irregularly shapedhas arms that start close to the centerhas a bar through the middle from which arms extendDoug rides a motorcycle at an average speed of 42 miles per hour for 3.6 hours
The distance Doug travelled is 151.2 miles
What is speed?Speed is the distance travelled per unit. Mathematically, it can be expressed as:
Speed = distance / time
With the above formula, we can determine the distance. Details below
Data obtained from the questionFrom the question given above, the following data were obtained:
Speed = 42 miles per hourTime = 3.6 hoursDistance =? How to determine the distanceThe distance Doug travelled can be obtained as follow:
Speed = Distance / time
Cross multiply
Distance = speed × time
Distance = 42 × 3.6
Distance = 151.2 miles
Thus, the distance he travelled is 151.2 miles
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Complete question:
Doug rides a motorcycle at an average speed of 42 miles per hour for 3.6 hours. What is the distance he travels in miles?
In December 2020, SpaceX Falcon 9 was launched into orbit at the Kennedy Space Center in Cape Canaveral. Explain how Newton's three laws are at work when the SpaceX Falcon 9 was launched into orbit? (Use 5 sentences, 50 points, mark brainliest.)
Answer:
It is the only commercial rocket to ever launch humans to orbit. On 24 January 2021, Falcon 9 set a record for the most satellites launched by a single rocket, carrying 143 into orbit.
...
Falcon 9.
Size
Burn time FT: 162 seconds v1.1: 180 seconds v1.0: 170 seconds
Propellant LOX / RP-1
Assume a 150 -W loudspeaker broadcasts sound equally in all directions and produces sound with a level of 103dB at a distance of 1.60 m from its center.(a) Find its sound power output. If a salesman claims the speaker is rated at 150W , he is referring to the maximum electrical power input to the speaker.
According to the question; The output power is 0.643W.
What do you mean by power?Power is the quantity of energy that is transported or transformed per unit of time in physics. The watt, which is equal to one joule per second in the International System of Units, is the unit of power. Power may also be referred to as activity in earlier writings. A scalar concept is a power.
According to the question:
Power, P₁ = 150W
Sound intensity level, β = 103db
Distance, d = 1.60m
The sound intensity level is β = 10log(I/I₀)
Reference intensity I₀ = 10⁻¹²
By solving, Intensity, I = 0.02w/m²
Power output P₀ = (4πd²) I
P₀ = 0.643W
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identify the statement that is true about the big bang. a. it began with all matter and energy concentrated in an infinitesimally small point. b. the big bang theory states that at the instant of explosion, atoms of all major elements came into existence. c. it is the explanation for how our solar system developed. d. it occurred less than 13 million years ago.
The big bang theory states that at the instant of explosion, atoms of all major elements came into existence.
What is explosion?
A blast is a fast development in volume related with a very energetic outward arrival of energy, normally with the age of high temperatures and arrival of high-pressure gases. A blast is an unexpected, vicious difference in likely energy to work, which moves to its environmental factors as a quickly moving ascent in pressure called an impact wave or shock wave. The shock wave can cause significant harm. A blast is an unexpected, rough difference in likely energy to work, which moves to its environmental elements as a quickly moving ascent in pressure called an impact wave or shock wave.
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