The correct answer is 44.6 miles/gallon.
Finding the complete mileage and fuel consumption of a car over the course of the entire journey is necessary to answer this type of query. We must thus calculate the value for each mile separately using the provided data in order to avoid getting the incorrect answer by just adding the value of the gallons.
The number of miles an automobile can go on one gallon of fuel is known as MPG, or miles per gallon. A car's fuel efficiency is mostly measured by its MPG; the greater the MPG, the more efficient the vehicle is.
Speed of the automobile = 19 km/L
Use the following conversion factor to convert km/l into miles/gallon
19(km×0.621miles/km)/(l×0.264gallon/L)
=44.6 miles/gallon
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an object is placed at dist 25cm in front of concave mirror and image has magnification of -2 .find focal length
Answer:
Given,
Object distance, u=25cm
Focal length, f=20cm
From mirror formula
f
1
=
v
1
+
u
1
−20
1
=
v
1
−
25
1
⇒
v
1
=−
20
1
+
25
1
v=100cm
The image will be real, inverted magnified
Explanation:
Given,
Object distance, u=25cm
Focal length, f=20cm
From mirror formula
f
1
=
v
1
+
u
1
−20
1
=
v
1
−
25
1
⇒
v
1
=−
20
1
+
25
1
v=100cm
The image will be real, inverted magnified
an aluminum flagpole is 39.4 m high. by how much does its length increase as the temperature increases by 15
The length of the aluminum flagpole will increase by 0.00881 m as the temperature increases by 15.
The length of an aluminum flagpole may not change with temperature. While thermal expansion can cause materials to change in size when heated or cooled, aluminium, as a metal, is not significantly affected by temperature changes. As such, the length of an aluminium flagpole is unlikely to be significantly affected by changes in temperature.
Calculate the Coefficient of Linear Expansion for Aluminum
The coefficient of Linear Expansion for aluminum is about 0.000023 per degree Celsius
Calculate the change in length
Change in length = (Coefficient of Linear Expansion x Original Length x Change in Temperature)
Change in length = (0.000023 x 39.4 m x 15) = 0.00881 m
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Suppose a spring weh sping constant 3 N/m is horizonal and has one end attached to a wall and the other end attached to a mass. You want to use the spring to weigh items. You put the spring into motion and find the frequency to be 0.8 Ha (Cycles pet second). What is the mass? Assume there is no friction
Mass = heip (units)
The mass of the object attached to the spring is approximately 0.119 kg.
To determine the mass of the attached object using the spring, we can utilize Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position.
Hooke's Law can be expressed as:
F = k * x
Where:
F is the force exerted by the spring,
k is the spring constant, and
x is the displacement of the spring from its equilibrium position.
The frequency of the spring's motion (f) can be related to the mass (m) and the spring constant (k) using the equation:
f = (1 / (2π)) * √(k / m)
Rearranging this equation, we can solve for the mass:
m = (k / (4π² * f²))
Given:
Spring constant (k) = 3 N/m
Frequency (f) = 0.8 Hz
Substituting these values into the equation, we get:
m = (3 N/m) / (4π² * (0.8 Hz)²)
Calculating this expression:
m ≈ 0.119 kg
Therefore, the mass of the object attached to the spring is approximately 0.119 kg.
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The mass attached to the spring is approximately 0.238 kg.
To find the mass attached to the spring, we can use the formula for the angular frequency (ω) of a mass-spring system:
ω = √(k / m),
where ω is the angular frequency, k is the spring constant, and m is the mass.
Given:
k = 3 N/m (spring constant),
f = 0.8 Hz (frequency).
First, let's convert the frequency from Hz to radians per second (rad/s):
ω = 2πf = 2π(0.8) ≈ 5.03 rad/s.
Now, we can solve the formula for m:
ω = √(k / m),
m = k / ω^2,
m = 3 N/m / (5.03 rad/s)^2.
Calculating the value:
m ≈ 3 N/m / (5.03 rad/s)^2 ≈ 0.238 kg.
Therefore, the mass attached to the spring is approximately 0.238 kg.
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Microbial food infections are usually not seen until ______ after eating contaminated food.
Answer:
2 to 4 hours
Explanation:
Given that,
Microbial food infections
We know that,
Food infection :
When we eat old food, uncooked, fermented food, more junk food and contaminated food then 2 to 4 hours after eating we started vomiting, headache then we affected by food infections.
So, we can say that microbial food infections are usually not seen until 2 to 4 hours after eating contaminated food.
If the force to stretch a spring is given as k = (100N/m), then what is the potential energy of the spring if it is stretched 1 meters from rest?
Answer:
50 Joules
Explanation:
This hurts. Help me.
Answer:
a. T₂ = 60 N
b. W = 25.98 N
Explanation:
a.
Taking right side as positive x direction, the equation for sum of forces in x-direction can be written as follows:
\(T_{2}Sin\ 30^o - T_{1} = 0\\T_{2}Sin\ 30^o = T_{1}\\T_{1} = (T_{2})(Sin\ 30^o)\\where,\\T_{2} = 30\ N\\Therefore,\\T_{1} = (30\ N)(Sin\ 30^o)\\\)
T₁ = 15 N
b.
Taking upward direction as positive y direction, the equation for sum of forces in y-direction can be written as follows:
\(T_{2}Cos\ 30^o - W = 0\\T_{2}Cos\ 30^o = W\\W = (30\ N)Cos\ 30^o\\\)
W = 25.98 N
Books in a library were counted one by one. There were a total of 57000 books in the library. How many significant digits are there in the result? Will the result change if the books are measured in the paacket of 10?
The total number of significant digits in the given number is five. If the books are measured in packets of 10, the number of significant digits reduces to two.
The given data is: Total number of books in the library = 57,000. We are to determine how many significant digits are there in the result? For this, let us define what are significant digits: Digits that are used to communicate meaning or accuracy of measurements are known as significant digits. In other words, the digits that carry meaning contributing to its measurement uncertainty are called significant digits. It is used to determine the accuracy of the results. In this question, the total number of books in the library is given as 57,000. As there are five non-zero digits in the given number, there are five significant digits in the result. Will the result change if the books are measured in the packet of 10? If the number of books is measured in the packet of 10, then there will be a change in the number of significant digits. When we express 57,000 in the packet of 10, we get: 57,000 = 5.7 × 10^4. Now, there are only two significant digits in the result (5 and 7), and hence the result changes.
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What information is needed to determine the general shape of an orbital?.
This is necessary in the calculation of the shape of the orbitals. In simple terms, the motion of an electron plays a significant role in defining its shape.
To determine the general shape of an orbital, it is necessary to have some information. These are:Electron Quantum Numbers: This comprises four numbers (n, l, m, and s) that offer info regarding the electron’s state in an atom. They are needed for the specification of the type of orbital. While n offers the size, l offers the shape, and m offers the orientation of the orbital.
Wave Functions: These depict how a wave function can be used to explain the position of an electron in an atom. While the probability of finding the electron in a particular region is linked to the absolute value of the wave function squared, the wave function itself offers details regarding the wave's behavior. Orbital Diagrams: The electrons' distribution in an atom can be portrayed using orbital diagrams.
The shape of an orbital can be determined by considering the diagrams, and how the electrons are organized within the subshells. Angular Momentum: This refers to the electron's motion, which takes place in three directions. This is necessary in the calculation of the shape of the orbitals. In simple terms, the motion of an electron plays a significant role in defining its shape.
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The shape of an orbital is primarily determined by the angular momentum quantum number (l). This, along with the principal quantum number (n), which defines the energy level and distance from the nucleus, and the orientation quantum number (m), which defines the orientation of the orbitals, are used to describe the properties of the orbital.
Explanation:To determine the general shape of an orbital, you need to understand some specific quantum numbers. These include the principal quantum number (n), the angular momentum quantum number (l), and the orientation quantum number (m).
The principal quantum number, n, determines the energy level of the electron and the probable distances that the electron can be from the nucleus. The angular momentum quantum number, l, specifies the shape of the orbital. Orbitals of the same n and l have the same general shape. Lastly, the orientation quantum number, m, defines the the orientation of the orbitals of the same l value with respect to one another.
So, to determine the shape of an orbital, we primarily look at the l quantum number. For example, if l=0, the orbital is spherically symmetrical and known as an 's' orbital. If l=1, the orbital has a two-lobed shape and is known as a 'p' orbital. If l=2, the orbital is a 'd' orbital and so forth.
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. Calculate the weight of a 7 kg object.
Answer:
68.6N
Explanation:
Given parameters:
Mass of object = 7kg
Unknown:
Weight = ?
Solution:
The weight is the downward force of gravity on a body;
Weight = mass x acceleration due to gravity
Weight = 7 x 9.8 = 68.6N
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS Which statement is true about the relationship between energy and temperature?
A. As energy increases, temperature also increases
B. As temperature increases, energy remains the same.
C. As energy increases, the temperature remains the same.
D. As energy increases, temperature decreases.
Answer:
A
Explanation:
because both energy and temperature ️ increase both are related.
define physical quantity
Answer:
Those quantities that can be measured are called physical quantity...hope this helps:)
Apply a 200N force to the left rope, and 150 N to the right rope. What is the magnitude and direction of the Resultant Force?
Answer:
Fnet = 200 -150
=50N
towards left
What three sports now permit professional athletes to complete in
the Olympics?
Answer: The executive board of the International Olympic Committee voted yesterday to allow professional tennis, ice hockey and soccer players under the age of 23 to compete in the 1988 Winter and Summer Games.
the largest jovian moon that appears to have been captured is
Ganymede is the largest jovian moon that appears to have been captured by Jupiter's gravitational pull during the early formation of the solar system.
The planetary-mass moon Ganymede, also known as Jupiter III, is the largest and most massive natural satellite of Jupiter and the entire Solar System. Despite being the only moon in the Solar System with a magnetic field, it is the largest object in the Solar System without an atmosphere. Although it is larger than the planet Mercury, Io, or the Moon, Titan has a slightly lower surface gravity. Water and silicate rock make up almost equal parts of Ganymede. It is a fully differentiated entity with a liquid core rich in iron and an interior ocean that may be larger than the sum of all the oceans on Earth.
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The acceleration due to gravity on Mars is about 3. 7 m/s2. A pendulum on that planet has an object at the end with a mass of 1. 5 kg and a period of 4. 6 seconds. What is the length of the pendulum’s string?
1. ) 1. 0m
2. ) 2. 0m
3. ) 5. 3m
4. ) 6. 3m
To find the length of the pendulum's string, we can use the formula for the period of a simple pendulum: T = 2π√(L/g), where T is the period, L is the length of the string, and g is the acceleration due to gravity.
We are given the period (T) as 4.6 seconds and the acceleration due to gravity on Mars (g) as 3.7 m/s². We can rearrange the formula to solve for the length (L):
L = (T² * g) / (4π²)
Now, substitute the given values:
L = (4.6² * 3.7) / (4π²)
L ≈ 2.0 m
Therefore, the length of the pendulum's string is approximately 2.0 meters. Your answer is 2.) 2.0m.
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An effect analogous to two-slit interference can occur with sound waves, instead of light. In an open field, two speakers placed 1.19 m apart are powered by the same function generator producing sine waves at 1,163 Hz frequency. Assume that the speed of sound is 340 m/s. A student walks along a line 12.5 m away and parallel to the line from one speaker to the other speakers. She hears an alternating pattern of loud and quiet, due to constructive and destructive interference. What is the distance between the central maximum and the first maximum (loud) position along this line in m
Answer:
3.04 m
Explanation:
The interference by diffraction of waves is noticeable only when the dimension of the opening through which the wave is passing through is comparable to the wavelength of the passing wave.
It is given that :
Distance between two speakers, d = 1.19 m
Speed of sound, v = 340 m/s
The frequency is f = 1163 Hz
Distance the student walk along the line of the speaker, D = 12.5 m
We know the wavelength of the sound produced by the speakers is given by :
\($\lambda=\frac{v}{f}$\)
\($=\frac{340}{1163}$\)
= 0.29 m
Now the distance between the central maximum and the first maximum position is given by :
\($y=\frac{\lambda D}{d}$\)
\($=\frac{0.29 \times 12.5}{1.19}$\)
= 3.04 m
A sledgehammer of mass m = 1.9 kg falls freely vertically downward from a height of h = 2.6 m at an initial speed of v = 11 m/s before striking a partially buried piling. After the blow the piling has moved d = 0.075 m deeper.How much kinetic energy, in joules, does the sledgehammer have just before striking the piling?
Answer:
Kinetic energy= 114.9J
Explanation:
Greetings !
Given values :-
mass= 1.9kg
height=2.6m
velocity= 11m/s
displacement (d)= 0.075m
Required value :-
Kinetic energy (KE)
Solution :-
Firstly, recall the Kinetic energy equation
\(ke = \frac{1}{2} mv {}^{2} \)
substitute known variables into the equation
\(ke = \frac{1}{2} (1.9)(11) {}^{2} \)
solve for Kinetic energy
\(ke = 114.9j\)
Hope it helps!!!
Compare and Contrast the two main branches of physical science. How are they the same? How are they different?
A truck brakes from 15 m/s to 2 m/s in 15 seconds. What is its acceleration?
what is the magnitude of the electric field in a metal rod that is moving at a constant speed of 5 m/s without rotation through a region of space where there is a perpendicular magnetic field of 0.5 mt?
If you have the length of the rod, you can simply plug in the values in the formulas mentioned above to find the magnitude of the electric field. Remember to convert the magnetic field strength from millitesla (mT) to tesla (T) before performing the calculations.
In the given situation, we have a metal rod moving through a magnetic field with a constant speed. When a conductor moves through a magnetic field, an electromotive force (EMF) is induced across the conductor due to the motion. This phenomenon is known as electromagnetic induction.
The magnitude of the induced EMF (ε) in the rod can be calculated using the formula:
ε = B × L × v
where B is the magnetic field strength (0.5 mT or 0.0005 T), L is the length of the rod, and v is the velocity of the rod (5 m/s).
Once we have the induced EMF, we can calculate the electric field (E) within the rod using the formula:
E = ε / L
Since the question does not provide the length of the rod (L), we cannot determine the exact magnitude of the electric field. However, if you have the length of the rod, you can simply plug in the values in the formulas mentioned above to find the magnitude of the electric field. Remember to convert the magnetic field strength from millitesla (mT) to tesla (T) before performing the calculations.
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Are voters informed or misled by entities such as individuals, social media, interest groups, political parties, etc…?
Entities including people, social media, interest groups, political parties, and other information sources can both inform and mislead voters. Depending on the veracity, legitimacy, and purpose of the material being broadcast, these institutions' influence on voter information might vary significantly.
On the one hand, these organizations can offer voters useful information that will enable them to make knowledgeable choices about candidates, policies, and issues. For instance, people can contribute their opinions and experiences and political parties and interest groups can provide information about their platforms and policy stances. Voters can access a variety of information and perspectives via social media, which can also be used as a forum for political conversation. However, these organizations may also deceive voters by spreading false information.
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in the international space station which orbits earth, astronauts experience apparent weightlessness because
Answer:
because there isn't any gravity there
An object is moving east, and its velocity changes from 66 mvs to 26 mvs in 10 seconds. Which describes the
acceleration?
negative acceleration of 4 mvs
positive acceleration of 4 ms
positive acceleration of 9 m/a
negatlveo acceleration of 9 m/s
Answer:
negative acceleration of 4m/s²
Explanation:
Given parameters:
Initial velocity = 66m/s
Final velocity = 26m/s
Time taken = 10s
Unknown:
Description of the acceleration = ?
Solution:
Acceleration is the rate of change of velocity with time.
It is mathematically expressed as;
acceleration = \(\frac{v - u}{t}\)
v is the final velocity
u is the initial velocity
t is the time taken
Now insert the parameters and solve;
Acceleration = \(\frac{26 - 66}{10}\) = -4m/s²
So, we see a negative acceleration of 4m/s²
If you know that the period of a pendulum is 1.87 seconds, what is the length of that pendulum? (assume that we are on earth and that gravity is 9.81 meters/second². ) a. 0.87 centimeters b. 2.1 meters c. 1.6 meters d. 0.87 meters e. 8.3 meters
Answer:
d. 0.87 meters
Explanation:
You want to know the length of a pendulum whose period is 1.87 seconds.
PeriodThe formula for the period of a pendulum in terms of its length is ...
T = 2π√(L/g)
LengthSolving for length, we have ...
T/(2π) = √(L/g) . . . . . . . divide by 2π
(T/(2π))² = L/g . . . . . . . square both sides
gT²/(4π²) = L . . . . . . . multiply by g
For the given period and value of g, we find the length to be ...
L = 9.81·(1.87/π)²/4 ≈ 0.87 . . . . meters
The length of the pendulum is about 0.87 meters.
Answer: d. 0.87 meters
Explanation: plato :)
Your friend's dad has a high-stress job, and has high blood pressure as a result. This has caused his arteries to stretch too much, leaving them vulnerable to damage. Which system would be most effected? nervous respiratroy circulatory digestive
Answer:
Explanation: "Warming up and cooling down are good for your exercise performance — you’ll do better, faster, stronger — and for your heart since the increased work on the heart ‘steps up’ with exercise,” said Richard Stein, M.D., professor of cardiology.
a 195 g object is attached to a spring that has a force constant of 76.5 n/m. the object is pulled 6.75 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table.
The maximum speed of the object is 1.33 m/s.
The law of conservation of energy states that energy can neither be created nor destroyed. It can only be converted from one energy form to another.
The mass of the object = 195g = 0.195 kg
Force constant =76.5 n/m
The object is pulled 6.75 cm to the right of equilibrium i.e. A = 6.75 cm = 0.0675 m
The maximum speed of the object is determined using the law of conservation of energy.
\(\omega=\sqrt{\frac{k}{m}}\)
\(\omega=\sqrt{\frac{76.5}{0.195}}\)
\(\omega=\) 19.8 rad/s
The maximum speed of the spring block system is given by A\(\omega\).
Hence, the maximum speed = A\(\omega\) = 19.8 x 0.0675 = 1.33 m/s.
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The complete question is -
A 195 g object is attached to a spring that has a force constant of 76.5 n/m. the object is pulled 6.75 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table. Calculate the maximum speed of the object.
The momentum of a 3000 kg truck is 6.36 x 104 kg·m/s. At what speed is the truck traveling? m/s
472
19,080
2.1
21.2
19.6
24.5
Answer:
21.2m/s
Explanation
Given data
P=6.36 x 10⁴kg·m/s.
M=3000kg
From the momentum expression
P=mv
v=p/m
Substitute
v=63600/3000
v=21.2m/s
Hence the Velocity is 21.2m/s
The speed of the truck is 21.2 m /s
Momentum is the product of the mass of the object and the velocity of the object. Therefore,
p = mv
where
m = mass
v = velocity
m = 3000 kg
p = 6.36 x 104 kg·m/s.
lets find the velocity
6.36 x 10⁴ = 3000 × v
v = 6.36 x 10⁴ / 3000
v = 21.2 m / s
The speed of the truck is 21.2 m /s
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If a spring constant is 40 N/m and an object hanging from it stretches it 0.50 m, what is the mass of the object? What is the period of the oscillation when the spring is set into motion?
The period of oscillation of the spring when it is set into motion is 0.808 s.
Given, the spring constant k = 40 N/m
The displacement of the spring Δx = 0.50 m
We have to calculate the mass of the object hung from the spring and the period of oscillation of the spring when it is set into motion.
We know that the force exerted by a spring is given as, `F = -k Δx` Here, F is the restoring force, k is the spring constant and Δx is the displacement of the spring.
Substituting the values,`F = -40 × 0.50 = -20 N`
The negative sign indicates that the direction of the force is opposite to the direction of displacement.
To find the mass of the object, we will use the following formula,`F = ma`
Here, F is the net force acting on the object, m is the mass of the object and a is the acceleration of the object.
Let the mass of the object be m, then,`-20 = m × 9.8` ⇒ `m = 2.04 kg`
Therefore, the mass of the object is 2.04 kg.
Now, we have to calculate the period of oscillation of the spring when it is set into motion.
The time period of a mass spring system is given as,`T = 2π √(m/k)`
Here, T is the period of oscillation, m is the mass of the object and k is the spring constant.
Substituting the values,`T = 2π √(2.04/40)` ⇒ `T = 0.808 s`
Therefore, the period of oscillation of the spring when it is set into motion is 0.808 s.
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can someone help me and give me the right answer
Answer:
C. sedimentary
Explanation:
Answer:
Sedimentary
Explanation:
Igneous rock- A rock that's formed through the cooling and solidification of magma or lava.
Metamorphic rock- A rock that starts out as another rock and often has a striped appearance.
Volcanic rock- A rock that's formed from lava that erupted from a volcano.
Sedimentary is the only right answer. A Sedimentary rock is a rock thats made from the deposition of lots of pieces of eroded rock particles.
Another 100 points time is running out this has to be correct! Correct answer gets brainiest! Hurry!
Answer:
I think it is 30km/hr ooh