Answer:
For a relative frequency distribution, relative frequency is computed as the class frequency divided by the number of observations.
If the device produces 8.5 kw of power on a day when the waves are 1.4 m high, how many kilowatts will it produce when they are 0.625 m high?
The power generated by 1.4 m high waves is 1.69 kW.
We need to know about power to solve this problem. The power generated by waves can be determined as
P = 1/2 . μ . ω² . A² . v
where P is power, μ is the constant of wave media, ω is angular speed, A is amplitude and v is wave speed.
Power is proportional to amplitude squared. Hence
P ~ A²
From the question above, we know that
P1 = 8.5 kW
A1 = 1.4 m
A2 = 0.625 m
By using the ratio of power, we can write
P1 / P2 = A1² / A2²
8.5 / P2 = 1.4² / 0.625²
P = 1.69 kW
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Notice a small hydraulic jump at location where the channel has a width of 5 m. at the crest of the jump the depth appears to be about 1 m. what is the flow rate?
A small hydraulic jump at location where the channel has a width of 5 m. at the crest of the jump the depth appears to be about 1 m, Fr = 1.
Hydraulic Depth is the area of a cross-section divided by the highest width. Hydraulic Width is especially useful for irregularly shaped channels (not rectangular), as seen within the equation for calculating the Froude Number.
A hydraulic jump may be a phenomenon within the science of hydraulics which is often observed in open channel flow like rivers and spillways. When liquid at high velocity discharges into a zone of lower velocity, a rather abrupt rise occurs within the liquid surface.
Hydraulic jump, Sudden change in water level, analogous to a blast wave, commonly seen below weirs and sluice gates where a smooth stream of water suddenly rises at a foaming front. The very fact that the speed of water waves varies with wavelength and with amplitude ends up in a large type of effects.
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use the diagram to answer the following physics questions:
i. where is the velocity zero?
ii. where is the velocity positive?
iii. where is the velocity negative?
iv. where is the fastest velocity?
v. where is the acceleration positive?
vi. where is the acceleration negative?
vii. where is the acceleration zero?
(if you could explain that would be great! thank you so much :) )
Answer:
i. Point A
ii. None
iii. All points
iv. F
v. None
vi. All
vii. None
Explanation:
i. Not quite sure if I'm interpreting the diagram right, but from the second the ball is released, it will start accelerating. Point A is where the velocity will be closest to 0 but not necessarily 0 as it will have started accelerating downwards.
ii. Assuming standard directions for vectors, the velocity is positive at none of the points as the ball is travelling in a downwards direction.
iii. Since the ball is always travelling downwards, its direction and therefore velocity is a negative number at all points in this diagram.
iv. The ball is accelerating as it falls so the further or the longer it falls, the faster its velocity, therefore in this diagram, it is fastest at point F.
v and vi. Assuming same direction principles as ii and iii (as acceleration and velocity are both vectors), acceleration is always downwards, therefore it is positive at no points, and negative at all of them.
vii. Acceleration due to gravity is always constant, so unless the ball is not moving (being held by the boy), acceleration is not 0 at any of the points.
Hope this helped!
URGENT QUESTION SOLVE FOR BRAINLYEST
Answer:
5.
a) it increases
b) 61.8
Explanation:
a) check the chart
b) add the wave speed of 4 and 5 then divide it by 2
Find an equation of the sphere with center s23, 2, 5d and radius 4. what is the intersection of this sphere with the yz-plane? stewart, james. calculus (page 837). cengage learning. kindle edition.
As a result, the provided sphere's intersection with the yz-plane would be (y-2)²+(z-5)²=7.
What do you mean by intersection?When two streets or lines cross, it is known as an intersection. The two places where crossings are most likely to occur are in math class and in traffic. An intersection in mathematics is the place where two lines converge. This is the common theme among the lines.
Briefing:Equation (x+3)²+(y-2)²+(z-5)²=16
Intersection (y-2)²+(z-5)²=7
We are asked to write an equation of the sphere with center (-3,2,5) and radius 4.
We know that equation of a sphere with radius 'r' and center (h,k,l) at is in form:
(x-h)²+(y-k)²+(z-l)²=r²
Since center of the given sphere is at point (-3,2,5) , so we will substitute h=-3,k=2 ,l=5 and r=4 in above equation as:
(x-(-3))²+(y-2)²+(z-5)²=4²
(x+3)²+(y-2)²+(z-5)²=16
Therefore, our required equation would be (x+3)²+(y-2)²+(z-5)²=16
To find the intersection of our sphere with the yz-plane, we will substitute x=0 in our equation as
(0+3)²+(y-2)²+(z-5)²=16
9+(y-2)²+(z-5)²=16
9-9+(y-2)²+(z-5)²=16-9
(y-2)²+(z-5)²=7
As a result, the provided sphere's intersection with the yz-plane would be:
(y-2)²+(z-5)²=7.
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Calculate the density of the substance. a sample of a substance has a mass of 27.3 grams and a volume of 7.0 centimeters3. the density of this substance is grams/centimeter3.
physics.. pls answerr
a ball is thrown up with a velocity of 20m/s. find the time it takes to reach the maximum height and the distance covered?
Answer:
the ball will travel for 2 seconds and complete a distance of 20 metres upwards.
Explanation:
v = final velocity
u = initial velocity
a = acceleration
t = time
s = distance
In your question, the initial velocity is given as 20m/s , i.e., u=20m/s ,
the final velocity that the ball can achieve at the maximum height is 0m/s
, hence, v=0m/s .
Since the only first that cause the acceleration is gravity, a is taken as g where g is acceleration due to gravity, and had a value of 9.81m/s2 . But for simplicity, we can take the value of a to be 10m/s2 , so a=10m/s2 . Now, we need to find, what's s and t.
Note: Since the ball is thrown upwards, which is against the force of gravity (gravity always acts downwards), we need take the value of a (in this case, g) as −10m/s2 .
Using the first equation,
v=u+at
0=20−10t
10t=20
t=2
Using the third equation,
v2=u2+2as
02=202+2×(−10)×s
20s=400
s=20
Hence, the ball will travel for 2 seconds and complete a distance of 20 metres upwards.
A 2 meter tall vertical stack of firewood casts a 4 meter shadow on horizontal ground. what is the angle of the sun in the horizon?
The angle of the sun in the horizon would be [tex]\theta[/tex] = 26.56°
CalculationHeight of stack of firewood = 2 m
Height of the shadow of firewood = 4m
Then according to trigonometric identities,
tan[tex]\theta\\[/tex] = 2/4
[tex]\theta[/tex] = [tex]tan^{-1}[/tex](1\2)
[tex]\theta[/tex] = 26.56°
What is trigonometry?
The area of mathematics concerned with how triangles' sides and angles relate to one another as well as with the pertinent uses of any angle is called as Trigonometry. This field of study was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
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A solar eclipse that occurs when the moons umbra does not reach earths surface is called?
A solar eclipse that occurs when the moon's umbra does not reach earths surface is called Annular Solar Eclipse.
An Annular Solar Eclipse is a phenomenon during solar eclipse in which Moon covers the center part of Sun when seen from Earth. But the Sun's outer edges are visible. This looks like a Ring of fire which is called as an Annulus.
An Umbra is a point in a shadow from which you cannot see the light source which formed the shadow.
Therefore, a solar eclipse that occurs when the moons umbra does not reach earths surface is called Annular Solar Eclipse
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If the bar oa is rotating clockwise with a constant velocity and the collar slides freely, the direction of the reaction force on the collar will be:_______
The direction of the reaction force on the collar will be Non constrained motion direction .
What is the relationship between the magnitude of the angular velocity ω and that of the velocity v ?ω = v / r
Since the cylinder is wrapped about the string, it rolls without slipping with respect to the string. The constraint relationship to assure this kind of motion can be obtained by considering the relative velocity of the point on the cylinder that is in contact with the string with respect to the string it should be zero.
The velocity of the center of the cylinder,
v = dy (t) / dt, r and the rotation rate of the cylinder, ω
We have to first find the velocity of the contact point relative to the center of the cylinder. Since this ignores the translational motion of the entire cylinder with respect to the ground, we then need to add back in the cylinder's center of mass velocity to find the velocity of the contact point with respect to the ground.
So, v (contact) = ωr - v where,
ω is the angular velocity
v is the linear velocity
r is the radius
ω = v / r
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What was one benefit that the louisiana purchase provided for the united states?
The Louisiana Purchase eventually doubled the size of the United States, significantly strengthened it militarily and strategically, spurred the country’s westward expansion, and established the federal Constitution’s doctrine of implied powers.
Prior to 1803 there had been considerable Old-World interest in the Louisiana Territory. France had gained authority over the river and ownership of the majority of the Mississippi valley thanks to explorations and sporadic colonies in the 17th and 18th centuries.
The greatest land deal in American history was the Louisiana Purchase, when the United States acquired the western half of the Mississippi River basin from France in 1803 for less than three cents per acre, or 828,000 square miles (2,144,520 square kilometers).
The acquisition increased the United States’ size by twofold.
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A small cube of metal measures 15.2 mm on a side and weighs 17.9 g. what is the density of the metal in g/cm3?
The density of the metal is 5.096 g/cm^3
CalculationWeight of the metal W = 17.9g
Length of the cube of metal = l = 15.2 mm = 1.52 cm
Density = w/v
= w/l*l*l
= 17.9 / (1.52)^3
= 17.9 / 3.512
= 5.096 g/cm^3
The Density = 5.096 g/cm^3
What is Density?Density is a measurement that is seen as one that compares the amount of matter an object has to its volume. The density of a substance indicates how dense it is in a given area.
Density can be formulated as:
D = mass / volume
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When placed in a ________ solution, a cell will exhibit a net loss of water. the specific process by which the water leaves the cell is called __________.
The specific process by which the water leaves the cell is called plasmolysis.
What is plasmolysis?Plasmolysis is the process in which the cell loses the water that is present inside it because the environment of the cells produces pressure to build up inside the cell. If a cell is present in a hypertonic solution means that solvent concentration is lower in the surrounding solution, then water comes out of the cell while on the other hand, if a cell is present in a hypotonic solution in which the solvent concentration is higher in the surrounding solution, then water goes inside of the cell. The movement of liquid inside or outside of the cell occurs due to the semi-permeable membrane of the cell.
So we can conclude that the specific process by which the water leaves the cell is called plasmolysis.
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A motorbike starts from rest and speeds up uniformly to the right until it reaches a maximum velocity of 60 m/s in 15 s. what is the acceleration of the motor bike?
The acceleration of the motor bike is 4 m/s².
To find the acceleration, the given values are,
Final velocity = 60 m/s
Initial velocity = 0 m/s
Time period = 15 seconds.
What is Acceleration?Acceleration is a rate of change of velocity with respect to time with respect to direction and speed.A point or an object moving in a straight line is accelerated if it speeds up or slows down.Acceleration formula can be written as,a = (vf - vi) / t m/s²
Acceleration = (change in speed) / (time for the change)
a = acceleration
vf = final velocity
vi= starting velocity
t = time
Acceleration is a vector quantity.The unit of acceleration is m/s².So the formula,
a = Δv / t m/s²
= (60 m/s) / (15)
= 4 m/s².
The acceleration of the motor bike is 4 m/s².
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Find the weighted average of a data set where 10 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
Answer:43
Explanation: 30,30,40,40,40,50,50,50,50,50
The ___________ is the stationary part of an ac motor; it consists of a laminated iron core and windings (or coils) that convert electrical energy to the energy of a magnetic field.
A laminated iron heart and windings (or coils) that transform electrical energy into the energy of a magnetic field make up the stator, the stationary component of an ac motor.
Stator definition:The stator, which can be found inside electric generators, electric motors, sirens, mud motors, or biological rotors, is the stationary component of a rotating system. A stator serves as a conduit for energy going to or coming from the system's rotating part.
What purpose does a stator serve?The stator creates a magnetic field that powers the revolving armature in an electric motor; in a generator, the stator transforms this rotating magnetic field into an electric current. The stator controls the fluid flow from or to the rotating component of a fluid-powered device.
What materials make up a magnetic field?Electric charges in motion create magnetic fields. Everything is constructed of atoms, so each atom contains a nucleus that is composed of protons and neutrons, with orbiting electrons. The small moving charges known as the circling electrons lead each atom to produce a very weak magnetic field.
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Assume you drink 250ml of soda out of a 1 liter soda bottle. how many liters are left?
The correct answer is 0.75 liters.
Briefing:One liter of soda produced 250 ml of beverage.
1 liter is equal to 1000 milliliters.
250 ml was consumed, or 250/1000 or 0.25 liter.
There was 1 - 0.25 liters of soda left
0.75 liter of soda was left and the correct answer is 0.75 liter.
What is a liter of water?Four glasses of water make up one liter, to be precise.
Let us understand this using the following explanation. Despite the fact that there is no set standard size for glasses, their capacity varies. In contrast, we calculate that a liter holds 32 ounces and a glass holds 8 ounces of water.
How are liters measured?Convert the object's dimensions into centimeters before performing the volume calculation in litres. Next, determine a shape's volume using the volume formula. For instance, you could use Volume = length times width times height to determine the volume of a cube, and the result would be in cubic centimetres.
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Clutch a cart starts at x = 2.0 m and travels towards the origin with a constant speed of 2.0 m/s. what is it the exact cart position (in m) 2.0 seconds later?
When the cart travels towards the origin, the magnitude of its exact position reduces with time.
The cart will be at -2 m (origin) 2s later.
What is it the exact cart position (in m) 2.0 seconds later?
When the cart travels towards the origin, the magnitude of its exact position reduces with time.
The formula of speed is given as
S = d/t ................. (1)
Where S = speed of the cart,
d = distance covered by the cart over a certain time.
t = time taken to cover the distance.
Where d the subject of the equation,
d = St ................. (2)
Given: S = 2.0 m/s, t = 2.0 s
Substitute into (2)
d = 2(2)
d = 4 m.
From the above, the cart covered a distance of 4 m in 2s.
The exact position of the cart = Initial position - distance covered
x' = x - d ............ (3)
Where x' = exact position of the cart 2s later,
x = initial position of the cart, and
d = distance covered by the cart in 2.0 s
Given: x = 2.0 m, d = 4 m.
Substitute into (3)
x' = 2.0 - 4
x' = -2 m.
Therefore the cart will be at -2 m (origin) 2s later.
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The earth's diameter is approximately 12,756 km. what is the approximate radius?
The approximate radius is 6370 Km
The radius of the Earth is approximately 3,960 miles, while the radius of the Moon is approximately 1,080 miles.
What is Earth ?Earth is the third planet from the Sun, the largest of the solar system's four terrestrial planets, the planet with the highest density, and the only planet in our solar system known to support life.
Land, air, water, and life are the elements that make up Earth. On the ground, there are mountains, valleys, and flat areas. The air is composed of several gases, including nitrogen and oxygen. Water can be found in rivers, lakes, oceans, streams, snow, ice, and many other places.Each one is a shortened version of a word that signifies "ground" or "soil" (or occasionally "universe" or "creation"). For example, the word "Earth" in modern English is derived from the Germanic word "erde," which meaning "ground."Learn more about Earth here:
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If the cable at a is pulled with the velocity of 12 m/s, what is the resulting speed of weight b?
The resulting speed of weight B is 4m/s
Here we have the end of the cable A pulled with the speed of 12m/s
To find the speed at which block B move:
At the top of pully. We have length at A is Sa and length of B is Sb.
The length from the top pulley to the small pulley which is held by the bar that Lint we built label it H
The pulley system made of only one chord, so we need only one equation to represent the rope.
Sa +Sb +(2Sb -h) = l
When the rope is pulled at block B the whole part moves up.
Sa + 3 Sb = L+2h
In order to find the velocity, we take derivative of the above equation.
here we get
Va + 3Vb = 0
Va = 12m/s
vb = -12/3 = -4m/s
negative sign shows that block is going against the direction. That is upward direction.
The resulting speed of weight B is 4m/s
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Ice is put in a cooler to cool the contents. to speed up the cooling process, the ice can be?
Crushing increases the ice's surface area. Additionally, cooling from ice happens as a result of convection, which is proportional to area. Thus, breaking up the ice expedites the cooling process.
What is cooling process?When precise and consistent temperature control inside a process is necessary, this sort of cooling is used. Because they can offer cooling capacity independent of variations in the ambient temperature, heat load, and flow needs of the application, chillers are frequently employed to remove heat from a process.
It's important to properly regulate the heat load in many industrial operations. Different components of the whole application might need to be cooled.
Major locations for cooling include:
Direct product cooling
During the molding process, plastic
milling metal products
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Equation: S=D]
Do Now
A car
takes 4 hours to cover a
distance, if it travels at speed of 40mph.
What should be it speed to cover the
Same distance in 1.5 hours?
REMEMBER UNITS
The speed of car is 106.67 miles per hour
To solve problems involving speed and distance we are required to first find speed or distance travelled in an hourly timeframe
It is given that car takes 4 hours to cover the distance at a speed of 40 miles per hour
Therefore, total distance travelled by the car= speed x time
= 40 miles per hour x 4 hour
=160 miles
We are required to find the speed of the car if the distance is to be covered in 1.5 hours
We are required to find the speed by the formula speed= Distance/time
distance= 160 miles time = 1.5 hour
speed= 160/1.5=106.666=106.67 miles per hour
Hence the speed is 106.67 miles per hour
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If you want to add 5 calories of heat to 1 gram of water, how will the temperature change?
Answer:
It will increase to 5ᵒC.
Explanation:
If the lead can be extracted with 92.5fficiency, what mass of ore is required to make a lead sphere with a 7.00 cm radius? the density of lead is 11.4 g/cm3.
The mass of the ore required to make the lead sphere 7 cm is 17.7 kg.
The radius of the lead sphere = 7 cm
The density of the lead = 11.4 g/cm³
The efficiency of lead extraction = 92.5 %
Let the mass of the lead = m.
Let the mass of the ore = M.
So the mass of the lead is,
[tex]m =(Density) \times[ \frac{4}{3} \pi(Radius) ^{3} ][/tex]
[tex]m = 11.4 \times \frac{4}{3} \times \frac{22}{7} \times( 7 )^{3} [/tex]
[tex] = 16385.6 \: g[/tex]
[tex] = 16.38 \: kg[/tex]
The efficiency constant is,
[tex]η = \frac{mass \: of \: lead}{mass \: of \: ore} [/tex]
[tex]η = \frac{m}{M}[/tex]
[tex]92.5\% = \frac{16.38}{M}[/tex]
[tex]M = \frac{16.38}{ \frac{92.5}{100} } [/tex]
[tex]M = \frac{16.38}{0.925} [/tex]
[tex] = 17.7 \: kg[/tex]
Therefore, the mass of the ore required to make the lead sphere of 7 cm is 17.7 kg.
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Given only a mass number, one can deduce the number of ________ in each atom of an element.
Given only a mass number, one can deduce the number of protons plus neutrons in each atom of an element and is denoted as option A.
What is Mass number?This is also referred to as the nucleon number which is the total number of protons and neutrons in the atom of an element.
Protons are referred to as the positively charged subatomic particles which are present in a atom while the neutrons are subatomic particles which are neutral and the both of them make up the nucleus of an atom.
This is therefore the reason why proton plus neutron was chosen as the most appropriate choice.
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The options are:
a) protons plus neutrons
b) neutrons
c) protons
d) electrons
e) protons plus electrons
A train starts from rest and accelerates uniformly until it has traveled 7.1km and acquired a forward velocity of 36m/s. the train then moves at a constant velocity of 36m/s for 2.1min. the train then slows down uniformly at 0.072m/s^2, until it is brought to a halt. how long does the entire process take (in minutes )?
If a train starts from rest and accelerates uniformly until it has traveled 7.1km and acquired a forward velocity of 36m/s. the train then moves at a constant velocity of 36m/s for 2.1min. The train then slows down uniformly at 0.072m/s^2, until it is brought to a halt. Then the entire process take (in minutes ), approximately 17.1 minutes.
How to do the calculation of the above question?Here, we have the following values,
u = 0
v = 36 m/s
s = 7.1 which is 7100 m
now we know that [tex]v^{2} = u^{2} + 2at[/tex]
As u = 0 hence the equation we have is [tex]v^{2} = 2at[/tex]
Now to find acceleration (a), a = [tex]\frac{36 *36}{2*7100}[/tex] = 0.091 m/[tex]s^{2}[/tex]
Now we know that a = 0.072 v = 0 u = 36 m/s then for t
v = u+at
[tex]\frac{36}{0.072}[/tex] = 500 sec
Putting the values in v = u +at
t' = (36)/(0.09) = 400 seconds
t'' = 2.1 min which is 126 seconds
and t''' is 500 seconds
Adding them up gives us the total time, which is
Total time = 400 +120+500
= 1026 second
=17.1 minutes
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What is the maximum number of comparisons that a binary search should do for a sorted array of 81,014 elements ?
The maximum number of comparison is 4502
Binary array : it is an array consist of only 0s and 1s only.
Binary search - an efficient algorithm for finding items from a sorted list.
it is called binary because it divide array into tow halves.
It is used to excess data more faster when the space is tight.
binary search will search the array by dividing it into two halves till it find the value.
The main advantage of it is that is more quicker than a serial search.
binary search algorithm can be implemented in the two ways :
1. Iteration method
2. Recursive method
the maximum number of comparisons is 4502.
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Consider a stage doing batch processing with a required setup. if the batch size increases 2 times, how would the stage capacity be affected?
The correct answer for the affect in the stage capacity is that it will increase.
The stage's capacity will increase .
The capacity formula is as follows:
Capacity = (Batch size) / (Total setup time + processing time x batch size)
Clearly, increasing the batch size twice will increase capacity, but not in the same proportion because the batch size is the same in the numerator and denominator. Increasing the batch size will increase the capacity but in very small proportions. Furthermore, if the batch size is too large, goods will be produced even if there is no demand, and if the batch size is too small, capacity will be lost. As a result, there is a trade-off between batch size and capacity.
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If the entire apparatus is immersed in water, what happens to the distance between the fringes on the screen?
The space between the screen fringes will be closed if the complete apparatus is submerged in water.
What does fringe distance mean?The space between two consecutive bright spots (maximas, when constructive interference occurs), or two consecutive dark patches, is known as the fringe width (minimas, where destructive interference occurs). All of the fringes in Young's double-slit experiment are the same length. The formula yields the fringe width. β = λD/d. Because it depends on L, the spacings between various fringes get smaller as the slit distance gets bigger. Since the space between various fringes is wavelength dependent, increasing the light's wavelength also increases that separation.
In comparison to air, water has a shorter wavelength of light. Therefore, when the device is submerged in water, the fringe width will diminish.
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The density beyond which people cease to be nutritionally self-sufficient is called:________
Physiological nutrition is the density at which people are no longer self-sufficient in terms of nutrients.
How the body absorbs nutrients from food, how we get the energy we require, how we use nutrients, and how all of this relates to health and disease are all topics covered by nutrition physiology.
Why does physiology need nutrition?
Nutritional requirements exist in addition to daily energy requirements in order to keep the body from losing its own proteins, carbs, and lipids. Such molecules must be replenished frequently because they are constantly broken down.An organism uses food to prolong its life through some kind of biochemical and physiological process known as nutrition. It gives living organisms nourishment that can be transformed into energy and chemical building blocks.The ingestion of nourishment, meeting psychological needs, and bodily adjustment are the three purposes of food.To learn more about Physiological nutrition, visit:
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