Answer:
Cost = $ 7.72
Explanation:
Considering the trip of 100 km, the cost spent on the fuel during the trip can be calculated by the following formula:
[tex]Cost = Average Fuel Consumption\ x\ Unit Fuel Cost\ x\ Distance[/tex]
where,
Average Fuel Consumption = 6 liter/100 km
Unit Fuel Cost = (1.063 euros/liter)($ 1.21/1 euro) = $ 1.29/liter
Distance = 100 km
Therefore,
[tex]Cost = (6\ liter/100\ km)(\$\ 1.29/liter)(100\ km)\\[/tex]
Cost = $ 7.72
A particle is moving with (SHM) of period 8.0s and amplitude5.0m
Find
The speed of the particle when it is 3.0m from the centre of it's motion,
The maximum speed,
The maximum acceleration
Answer:
[tex]velocity(x)=15\,\frac{\pi}{4}\,cos(\frac{\pi}{4}x)[/tex]
Max speed = [tex]\frac{15\, \pi}{4} \,\, \frac{m}{s}[/tex]
Max acceleration = [tex]\frac{15\,\pi^2}{16} \,\,\frac{m}{s^2}[/tex]
Explanation:
Given the description of period and amplitude, the SHM could be described by:
[tex]f(x)=5\,sin(\frac{\pi}{4}x)[/tex]
and its angular velocity can be calculated doing the derivative:
[tex]f(x)=5\, \,sin(\frac{\pi}{4}x)\\f'(x)=5\,\frac{\pi}{4}\,cos(\frac{\pi}{4}x)[/tex]
And therefore, the tangential velocity is calculated by multiplying this expression times the radius of the movement (3 m):
[tex]velocity(x)=15\,\frac{\pi}{4}\,cos(\frac{\pi}{4}x)[/tex] and is given in m/s.
Then the maximum speed is obtained when the cosine function becomes "1", and that gives:
Max speed = [tex]\frac{15\, \pi}{4} \,\, \frac{m}{s}[/tex]
The acceleration is found from the derivative of the velocity expression, and therefore given by:
[tex]acceleraton(x)=-15\,\frac{\pi^2}{16}\,sin(\frac{\pi}{4}x)[/tex]
and the maximum of the function will be obtained when the sine expression becomes "-1", which will render:
Max acceleration = [tex]\frac{15\,\pi^2}{16} \,\,\frac{m}{s^2}[/tex]
Determine the net work a hiker must do on a 3.35-kg backpack to carry it up a
hill of height h = 12.49 m, as shown
Answer:
410.4J
Explanation:
Step one:
given
mass= 3.35kg
weight= 3.35*9.81= 32.86N
h=12.49m
Required
The net work done
Step two:
the work done is given as
WD= force* distance
WD= 32.86*12.49
WD= 410.4J
At 3.00 m from a source that is emitting sound uniformly in all directions, the sound level (b) is 60.0 dB.
How many meters from the source would the sound level be one-fourth the sound level at 3.00 m?
Given that,
At 3.00 m from a source that is emitting sound uniformly in all directions, the sound level is 60.0 dB.
To find,
The distance from the source would the sound level be one-fourth the sound level at 3.00 m.
Solution,
The intensity from a source is inversely proportional to the distance.
Let I₁ = 60 dB, r₁ = 3 m, I₂ = 60/4 = 15 dB, r₂ =?
Using relation :
[tex]\dfrac{I_1}{I_2}=\dfrac{r_2^2}{r_1^2}\\\\r_2^2=\dfrac{I_1r_1^2}{I_2}\\\\r_2^2=\dfrac{60\times (3)^2}{15}\\\\r_2=6\ m[/tex]
So, at a distance of 6 m the sound level will be one fourth of the sound level at 3 m.
The same car slows from 36 m/s to 15 m/s over 3 seconds. What is its average acceleration over this time interval?
The average acceleration of the car over 3 seconds is -7 m/s².
What is Acceleration?
Acceleration is defined as the rate of change of velocity with respect to time. Mathematically -
a = Δv/Δt
Given is a car that car slows from 36 m/s to 15 m/s over 3 seconds.
We can calculate acceleration as follows -
a = Δv/Δt
a = (15 - 36)/(3)
a = -21/3
a = - 7m/s²
Therefore, the average acceleration of the car over 3 seconds is -7 m/s².
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It takes light 4 hours and 10 minutes to travel from the sun to the Planet Neptune. How far is Neptune from the sun?
a. 1.2 × 10^8 km
b. 4.5 × 10^9 km
c. 12 × 10^8 km
d. 45 × 10^9 km
Answer:b) 4.5×10^9km
Explanation:use s= vt/1000 here, v= speed of light which is 3×10^8m/s
t= time in second
The middle-C hammer of a piano hits two strings, producing beats of 1.60 Hz. One of the strings is turned to 260.00 Hz. What frequencies (in Hz) could the other string have?
Answer:
The frequencies the other string could have are 258.4 Hz and 261.6 Hz.
Explanation:
Given;
beat frequency, Fb = 1.60 Hz
frequency of the first string, F₁ = 260.00 Hz
frequency of the second string, F₂ = ?
Beat frequency is given as;
Fb = F₂ - F₁ or Fb = F₁ - F₂
Fb + F₁ = F₂ or F₂ = F₁ - Fb
1.6 + 260 = F₂ or F₂ = 260 - 1.6
261.6 Hz = F₂ or F₂ = 258.4 Hz
Therefore, the frequencies the other string could have are 258.4 Hz and 261.6 Hz.
A 12 V battery applies a potential difference to three resistors in series. If the potential at point P is 0.0 V, the potential at point B is:
This question is incomplete, the complete question is on the image uploaded along this answer.
Answer:
the potential at point B is 5 V, Option d) is the correct answer
Explanation:
Given that;
from the image;
R = 3 + 4 + 5 = 12 Ω
so I = 12/12 = 1 A
Q = 0 + 12 = 12 V
now
VA - VQ = - I × 3 = -3 V
VA = VQ - 3 = 12 - 3 = 9 V
VB - VA = - I × 4Ω = - 4 V
⇒VB = VA - 4 = 9 V - 4 V = 5 V
Therefore the potential at point B is 5 V
Option d) is the correct answer
the weakest type of friction that occurs between solid surfaces is _____ friction
Answer:
Static, sliding, and rolling friction occur between solid surfaces. Static friction is strongest, followed by sliding friction, and then rolling friction, which is weakest. Fluid friction occurs in fluids, which are liquids or gases.
Explanation:
what is the job title) makes the decision regarding the quality of produce and if it will be sold fresh or processed?
A car breaks down 3.5 meters away from the side of the road. 2.060 Newtons of
force is used to push the car off the road. How much work has been done on the
car?
Answer:
7.21 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distance
From the question we have
workdone = 2.060 × 3.5
We have the final answer as
7.21 JHope this helps you
You witness the birth of a littler of puppies.Where were the atoms that make up these puppies come from? How did these atoms form?
The atoms come from the parents of the puppies and were formed by biosynthesis in the bodies of the parent dogs.
What are biological molecules?The term biological molecules are those molecules that are important for life. These are the molecules that are involved in the processes of life that take place in an organism.
Now, from the time of conceptions, the biomolecules in the new organism begins to form. Recall that the DNA is the molecule that is used to store the genetic information of an organism. Now et us recall that the DNA is passed on from the parents to the offspring.
Now, we know that the atoms that compose these puppies come from the parent organisms. The molecules in which the atoms are formed are formed during the natural processes that were taking place in the bodies of the parents of puppies. This occurs by the process of reproduction.
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A bolt of lightning hits a tree 170m from your house. How long before you hear it?
m
An ostrich accelerates from rest until reaching a speed of 6.0 A graph of the ostrich's velocity over time
is shown below.
S
Velocity
()
6+
3+
Time (s)
3 6 9 12 15 18
What is the ostrich's average acceleration from 9.0 to 18 seconds?
O
Answer:
0 m/s2
Explanation:
khan
What do you mean by Galvanometer Constant?
Answer:
It is a value that reading in the galvanometer must be multiplied with to get the ordinary unit
Explanation:
What is a galvanometer?
A galvanometer is an electromechanical instrument used for detecting and indicating an electric current.
A Number by which a certain function of the reading of a galvanometer must be multiplied to obtain the current value in ordinary units is a galvanometer constant
1 Which statement
about mas
A Mass and weight are both fo
3 Neither mass nor weight is a
C Only mass is a force.
Only weight is a force.
D Only weigh is a force
Only weigh is a force. force is mass multiplied by acceleration. weight is the mass plus the gravitational force acting on it.
The difference between mass and weight is that mass is a measure of inertia and weight is a measure of force. We use both of these terms interchangeably but this is not quite correct.
Mass can be defined as how much a material an object is made up of. so considering the smallest particles we can say that the number of protons, neutrons, and electrons in an object is a simply the measure of its mass. Mass, can be referred as both a property of an object and a measure of an object's resistance to acceleration. kilograms and grams is the unit of mass.
The weight of an object can be referred as the force acting on it because or due to gravity. That is, the gravitational interactions between bodies and masses, and when they interacts with the Earth, that force will be considered as the weight. its Unit is Newtons.
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In which of the following situations is the normal force greater than the weight of the object?
Your answer:
a truck towing a car so that only the back tires are running along the road
pushing down on a lawnmower in front of you to mow the lawn
a box resting on a ramp
a picture frame hung up by two wires
Pretty sure answer is B
due to the fact your exerting extra force down on the lawn mower to move it
Plz help will give brainliest
Assignment: 02.03 Conservation of Mass
Details
Submit the assignment following the instructions in the lesson.
Due Date
N/A
20
Points Possible
20
Course Contribution
3
Submissions Allowed
0
Submission Number
The law of conservation of mass states that mass in an isolated system is neither created nor destroyed by chemical reactions or physical transformations. According to the law of conservation of mass, the mass of the products in a chemical reaction must equal the mass of the reactants.
Answer:
Steel Wool + Oxygen, Steel wool has a hard texture but is a grayish color. It looks like it's a powder, and also that it was rusted steel wool and then broken apart converted into a powder. So Iron oxide is 7 grams and combined steel wool is 7 grams, so you may assume that the mass has been retained. Yeah, it is a chemical change since the corrosion and rust in steel wool is a chemical process, but iron oxide is triggered by a physical change.
Egg + Heat, In the center, the egg has a yellow yolk while at the edge of the egg there is a kind of liquid, but it is visible, the heat becomes hot but clear The egg transformed into a delicious food called an omelet, which was yolk staid as a liquid but got a little harder, It was retained because the eggshell was 4 grams and the fried egg is 41 grams, but the clear border around it changed color. It is a chemical transition, and it results in the creation of new particles and the chemical bonds split apart and new ones are formed
Water + Heat, Water is a clear liquid, while the heat is very hot yet transparent. Once 5 g of liquid is a gas, it'll become 5 g of water vapor. Water + Heat Water is really a clear liquid. The mass of the liquid water is simply transformed into mass of the water vapor that is freshly created. There was no chemical process although water vapor can also be converted back to water, but it only shifted from a liquid to a gas and the structure did not change.
Zinc + Hydrogen Chloride Zinc, a metal white/silver solid. A clear, colorless liquid fluid with a really low pH in hydrogen chloride In hydrogen chloride, zinc is “dissolved” while releasing a colorless vapor. The liquid, possibly still having a low pH from the remaining acid, stays a colorless liquid.As sparked with a burning wooden splint, the colorless gas gathered in a tube provides a loud bang, because it is neither air trapped in the zinc, nor absorbed in hydropower acids. Well, even if the zinc is 12 grams and not 15 grams, the gas released was 3 grams and, as we all know, 3 + 12 is 15, so you could claim also that volume has also been saved.
Sodium Hydroxide + Copper, Sulfate Sodium hydroxide is a turbid solution and bright blue crystals are formed from copper sulfate A pale blue powder of basic copper hydroxide a solution of neutral salt sulfuric acid would be produced when their solutions are mixed with each other. The combined sodium hydroxide and copper sulfate make a total of 67 grams and the product is split because the sodium sulfate is 47 grams and the copper hydroxide is 20 grams, but all together it is still 67 grams, and you could assume that now the mass has been conserved. The evidence of a response was its image of royal blue basic copper hydroxide precipitates and a neutral salt sodium solution
Explanation:
Physical science
HELP ASAP PLZ!! Which represents the greatest speed: 56 m/s, 560 cm/s or .56 km/s? Explain your answer with math.
Answer:
0.56 km/s
Explanation:
We will define a single system of units for measurement, for this case meters per second [m/s]. That is, we must convert the rest of units such as centimeters per second and kilometers per second to meters per second.
[tex]560[\frac{cm}{s}]*(\frac{1m}{100cm} )=5.6[m/s]\\0.56[\frac{km}{s}]*(\frac{1000m}{1km} )=560[m/s][/tex]
Therefore the speed of 0.56 [km/s] is the greatest of all
An electron has a mass of 9.109 x 10^-31 kg. What is its weight in Newtons on Earth
Answer:
[tex]W=8.93\cdot 10^{-30}\ N[/tex][tex]\mathbf{W=8.93\cdot 10^{-30}\ N}[/tex]
Explanation:
Mass and Weight
The mass of an object is a measure of the object's amount of matter it contains. It's expressed in Kilograms or similar units.
The weight of an object is a measure of the force exerted on the object by gravity. It's often expressed in Newtons or similar units.
The formula to calculate the weight of an object with known mass m is:
W = m.g
Where g is the acceleration of gravity in the place it's located. We are given the mass of an electron:
[tex]m=9.109\cdot 10^{-31}\ Kg[/tex]
On Earth, the acceleration of gravity is:
[tex]g=9.8\ m/s^2[/tex]
Thus, the weight is:
[tex]W =9.109\cdot 10^{-31}\ Kg*9.8\ m/s^2[/tex]
[tex]\mathbf{W=8.93\cdot 10^{-30}\ N}[/tex]
A force F=9 N acting on a tooth is not in the direction of the tooth axis and runs at a distance L=1 mm from the axis. Find the torque on the tooth about point C
Answer:
τ = 0.009 Nm
Explanation:
The torque applied on the tooth can be given by the following formula:
[tex]\tau = Fd[/tex]
where,
τ = Torque on the tooth= ?
F = Force acting on tooth = 9 N
d = distance between force and tooth axis = 1 mm = 0.001 m
Therefore, using these values in the equation, we get:
[tex]\tau = (9\ N)(0.001\ m)[/tex]
τ = 0.009 Nm
A grinding wheel is a uniform cylinder with a radius of 8.65 cm and a mass of 0.400 kg . Calculate its moment of inertia about its center.
Answer:
I = 1.5*10⁻³ kg*m²
Explanation:
It can be showed that the moment of inertia (or rotational inertia) for a uniform cylinder of mass m and radius r, respect an longitudinal axis going through its center (parallel to the height of the cylinder) can be written as follows:[tex]I = \frac{1}{2}*m*r^{2} = \frac{1}{2}*0.400 kg*(0.0865m)^{2} = 1.5e-3 kg*m2[/tex]
Which of the following will have the least effect on the motion of a ball? A the mass of the ball B the direction of the force C the strength of the force D the weather conditions
Answer:
letter B..
Explanation:
because pinililit you direction pina force nyang itulak
The ball encounters resistance as it travels through the air. Drag is the term for the air's resistance to the ball. Drag slows down the baseball because it is applied against the direction of the ball's flight. Thus, option B is correct.
What the least effect on the motion of a ball?When two objects rub against one another, a force known as friction is applied. Friction force often works to prevent an object from moving. For instance, friction between a ball and carpet when rolling a ball across it causes the ball to move more slowly.
A baseball in flight is impacted by three forces. The three forces are lift, drag, and weight. Actually, the aerodynamic force exerted on the ball is made up of two parts: lift and drag. Lift acts perpendicular to the motion, and drag acts in the direction opposite to the motion.
Therefore, the direction of the force the least effect on the motion of a ball.
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Two interfering sound waves have frequencies of 223 Hz and 214 Hz. Determine the beat period (in s) of the composite wave. (Hint: first determine the beat frequency.)
Answer:
The beat period of the composite wave is 0.11 s.
Explanation:
Given;
frequency of the first sound wave, F₁ = 223 Hz
frequency of the second sound wave, F₂ = 214 Hz
The beat frequency is given as;
Fb = F₁ - F₂
Fb = 223 Hz - 214 Hz
Fb = 9 Hz
The beat period is given as;
[tex]T_b = \frac{1}{F_b} \\\\T_b = \frac{1}{9} \\\\T_b = 0.11 \ s[/tex]
Therefore, the beat period of the composite wave is 0.11 s.
Suppose that an Egyptian farmer claims to have discovered a linen burial cloth used during Egypt's Middle Kingdom some 4000 years ago. Careful analysis shows that the cloth contains 80% of the ^{14}{\rm C} that it is estimated to have originally contained. How old is the cloth?
Answer:
the cloth is old by 1,844 years
Explanation:
The computation is shown below:
The half-life of C^(14) is 5730 years
Now
[tex]\lambda[/tex] =1.210 × 10^-4 years^(-1)
Now
[tex]N(t) = Ce^{-\lambda\times t}[/tex]
[tex]0.8 \times (N_0) = N_0 \times e^{-\lambda \times t}\\\\ln(0.8) = (-\lambda \times t)\\\\t = \frac{-(ln(0.8))}{\lambda}[/tex]
[tex]\lambda[/tex] = .000121,
so t = 1844 yrs
hence, the cloth is old by 1,844 years
In the following figure, if AB ǁ CD, then find the measure of PCD and CPD.
Answer:
[tex]CPD = 80[/tex]
[tex]PCD = 44[/tex]
Explanation:
Given
[tex]AB || CD[/tex]
[tex]BAD = 56[/tex]
[tex]CPA = 100[/tex]
See attachment
Required
Determine PCD and CPD
First, we need to calculate CPD
Since DPA is a straight line and CPA = 100;
We have that:
[tex]CPA + CPD = 180[/tex] --- angle on a straight theorem
Substitute 100 for CPA
[tex]100 + CPD = 180[/tex]
Subtract 100 from both sides
[tex]100-100 + CPD = 180-100[/tex]
[tex]CPD = 80[/tex]
Next, we calculate PCD
We have that:
[tex]DAB= ADC = 56[/tex] --alternate angle
In triangle PCD
[tex]PCD + CPD + PDC = 180[/tex] --- angles in a triangle
Where
[tex]PDC = ADC = 56[/tex]
So, we have:
[tex]PCD +80 + 56 = 180[/tex]
[tex]PCD +136 = 180[/tex]
Subtract 136 from both sides
[tex]PCD = 180 - 136[/tex]
[tex]PCD = 44[/tex]
help asap
what is the force responsible for seafloor spreading and the formation of new ocean floor at mid ocean ridges
Answer:
magma
Explanation:
I wanna think that that's right if it's not in so sorry but I'm pretty sure it's magma
Intrusive magma forced up towards the ocean ridge is the force responsible for seafloor spread. The correct option is B.
What is seafloor spreading?Seafloor spreading is a process that occurs at mid-ocean ridges where the oceanic crust is produced by volcanic activity and then moves away from the ridge.
Plate tectonics' continental drift is explained by seafloor spreading. When oceanic plates diverge, tensile stress causes fractures in the lithosphere.
Ridge push occurs when plates are not subducting and are driven by gravity as they slide off the elevated mid-ocean ridges.
Magma rises from the fractures at a spreading center and cools on the ocean floor to form a new seabed.
The spreading rate is the rate at which an ocean basin widens due to seafloor spreading and determines whether the ridge is fast, intermediate, or slow.
Thus, the correct option is B.
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A rock is thrown straight up with an initial speed of 22 m/s. How long will it be in the air before it returns to the thrower?
Answer:
The time spent in air by the rock before it returns to the thrower is 4.5 s
Explanation:
Given;
initial velocity of the rock, u = 22 m/s
Neglecting air resistance, the time it takes the rock to go up equals the time it takes it to return to the thrower. This is also called time of flight.
The time to go up is calculated as;
v = u - gt
where;
v is the final velocity at the maximum height
0 = u - gt
gt = u
t = u / g
t = 22 / 9.8
t = 2.245 s
thus time to go up = 2.245 s
and time to return to the thrower = 2.245s
The total time spent in air by the rock before it returns to the thrower
= 2.245 s + 2.245s
= 4.5 s
You push a permanent magnet with its north pole away from you toward a loop of conducting wire in front of you. Just before the north pole enters the loop, the current in the loop is: zero clockwise counterclockwise
Answer:
Counter clockwise
Explanation:
What is an induction?
Answer:
An induction is the process a new recruit goes through to be introduced to the company and their new role. ... Beyond the initial days, the induction programme continues for many months, so that the new employee can fully integrate into life in the company and settle into their role to become a valuable member of staff.
Explanation:
hope this help
pick me as the brainliest
b) Write the name of the devices
which are shown in the given
figures and write their uses
Answer:
transparent Prism
Explanation:
The device shown is a prism. It is used to study the refraction of light according with its wavelength as it transverses from a medium (air for example) to another (either glass, fluorite, plastic), and vice versa.
For that reason is also used to separate white light into its spectral wavelength components.