The volume of an object as a function of time calculated by V=At^3+B/t,where t is time measured in seconds and V is in cubic meters. Determine the dimension of the constants A and B

Answers

Answer 1

Answer:

A = L^3 T^-3  ,  B = L^3 T

Explanation:

Given: volume ( V )  = At^3 + B/t  ------ ( 1 )

dimension of volume = L^3

and the Dimension of time = T

back to equation ( 1 )

L^3 = A * T^3   ------- ( 2 )

also L^3 = B/T ------- ( 3 )

from equation ( 2 )

A = L^3 T^-3

from equation ( 3 )

B = L^3 T

The dimensions of the constants A and B

A = L^3 T^-3  ,  B = L^3 T


Related Questions

An oven uses 4500 watts of power in 2 minutes, how much work was done?


An oven uses 4500 watts of power in 2 minutes, how much work was done?


540,000 J


360,000 J


2,250 J


9,000 J

Answers

First of all we state the formula
Power=work done/time
we can rearrange this formula as well
work done=power x time

Since the SI unit of time is in seconds we change the minutes to seconds
2mins= 60x2 = 120 seconds

Using our formula (work done=power x time) we simply put in the values
work done = 4500 x 120
work done = 540,000J

When Jane drives to work she always places her pocketbook on the passengers seat.By the time she gets to work her pocketbook has fallen on the floor in front of the passenger seat. One day she asks you to explain why this happens in terms of physical science. what do you say? (use newtons laws to explain it)

Answers

Answer:

The first law of newton says that if an object is at rest, it will keep at rest unless there is force acting on them. In the same way, if an object is in movement, it will keep in movement unless there is a force action on them.

The pocketbook of Jane is moving with the car, when she stops, the pocketbook keeps moving forward, so it falls on the floor because there is nothing that avoid its movement.

A ramp that is 8 meters long raises an object 2meters. What is the mechanical advantage

Answers

10m long is the right answer or 16

While traveling along a highway a driver slows from 48 m/s to 30 m/s in 12 seconds. What is the automobile’s acceleration?

Answers

Answer:

-1.5 m/s^2

Explanation:

Acceleration is Final velocity - Initial Velocity/Time (seconds)

30-48= -18

-18/12 = -1.5

-1.5 m/s^2

A 100 meter dash was held with 20 contestants. The best time was 10.7 seconds, and the worst time was 15.3 seconds. Only the fastest 10 contestants advance to the final race.

Which measure of central tendency should be used to calculate the cutoff time for the final race?
A.
range
B.
mode
C.
median
D.
mean

Answers

The measure of central tendency that should be used to calculate the cutoff time for the final race is the median.

Option C.

What is median?

The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger.

To find the median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list.

So from the given data of the 100 meter dash, the measure of central tendency that should be used to calculate the cutoff time for the final race is the median.

The median will help to separate half of the data points that are smaller than the cutoff time and half of the data points are larger than the cutoff time.

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How do i calculate the net force of the following question.Plz answer correctly
An object of mass 30 kg is falling in air and experiences a force due to air resistance of 50 newtons.
A)Determine the net force acting on the object and

Answers

Explanation:force = mass×acceleration

mass=30 force=50

(a) 50÷30

because we don't have acceleration which is known as m/s2 that stands for meter per seconds square . Hope this help pls follow thank you

a light ray travels inside a horizontal plate of glass, striking its upper surface at an angle of incidence of 50 ∘. this ray is totally internally reflected at the glass-air boundary. a liquid is then poured on top of the glass.

Answers

When light passes from one medium to another medium with a different refractive index, it changes its direction of propagation, which is described by Snell's law.  The final direction of the light ray depends on the refractive indices of the three media and the angle of incidence of the ray on the liquid-glass interface.

Total internal reflection occurs when light travels from a medium with a higher refractive index to a medium with a lower refractive index at an angle greater than the critical angle.The given scenario involves a light ray that is travelling inside a horizontal plate of glass. The angle of incidence of the ray striking the upper surface of the glass is 50∘. As the light ray passes through the glass, it experiences a change in its direction due to the difference in refractive index of glass and air.

As the angle of incidence of the light ray is greater than the critical angle, it gets totally internally reflected at the glass-air boundary. However, when a liquid is poured on top of the glass, the situation changes. This is because the refractive index of the liquid is different from that of the air, and hence the light ray will undergo refraction again as it enters the liquid.Apart from the difference in refractive indices, the angle of incidence of the light ray also changes as it enters the liquid.

This leads to a change in the direction of the refracted ray, which may or may not undergo total internal reflection again, depending on the angle of incidence and the critical angle of the liquid. Therefore, the final direction of the light ray depends on the refractive indices of the three media and the angle of incidence of the ray on the liquid-glass interface.

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An object is dropped from a 32 m tall building. How fast will it be going when it strikes
the ground?

Answers

Answer: 25.04m/s

Explanation:

v^2 = v^2o + 2a(x-xo)

v^2 = velocity 

v^2o = initial velocity 

a = acceleration 

x = final position/distance 

xo = initial position/distance

In this case, the initial velocity is 0 since the ball wasn't moving before it was dropped. The final position is 32 as the motion ended after the ball traveled 32m. The initial position is 0. The acceleration is 9.8m/s (free fall). Plug these numbers into the formula: 

v^2 = 0 + 2(9.8)(32)

v^2 = 25.04396135 

Round to get 25.04m/s

Select odd one out and also give the reason:
a) Gravitational force , magnetic force , electrostatic force

Answers

Gravitational force is not related to other force because it is related to gravity.

How magnetic force and electrostatic force are related?

Electrostatic force and magnetic force are link to each other because both have charges. Electrostatic force is type of force that is present between two electrically charged particles. They can either be a repulsive or attractive force.

So we can conclude that Gravitational force is not related to other force because it is related to gravity.

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A sound wave travelling in water has a frequency of 100 Hz. The speed of sound in water is 1482 m/s. Calculate the wavelength of the wave

Answers

Steps : The formula for wavelength is:
λ = v/f
λ = 1482/100

Answer:

λ = 14.82 m

If a physician sends a patient to a cardiologist, who happens to also be her husband, this may violate the Select one: a. anti-kickback law. b. Stark law. c. CLIA. d. False Claims Act.

Answers

The correct answer is Stark law.

Explanation:

The Stark Law, also known as the physician self-referral law , prohibits physicians from referring patients to entities in which they or their family members have a financial interest for certain designated health services under Medicare and Medicaid.

This law aims to prevent financial conflicts of interest that may influence medical decision-making.

In the given scenario, the physician is referring a patient to a cardiologist who happens to be her husband.

Since the cardiologist is a family member of the referring physician, this referral may violate the Stark Law if the patient is covered under Medicare or Medicaid and the cardiologist performs designated health services for the patient.

The anti-kickback law, CLIA, and False Claims Act are other healthcare laws that aim to prevent fraud and abuse in healthcare, but they do not specifically address the issue of physician self-referral.

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Name three common areas where unethical situations can occur in research.​

Answers

Answer:

Unethical behavior or ethical code are very important ion research or different areas. Ethical code protects people from misbehavior, disclose their privacy etc.

Explanation:

Many of people walk to the working place where most of people witnessed the unethical behavior with them. There are many area that are responsible for misconduct such as :

Misusing company timeAbusive behavior by researcher in field work.Leak privacy by a doctor of patient. In organization lying to the employee related to contract.To violet the company policies. In clinical setting misbehave with patient that unethical Unethical behavior could occur in business, among individual, by professional and among the political parties and social workers.

How is the electrostatic force (Felect) related to the separation distance (d) the two charges?
1- Keeping the magnitude of charge on both objects constant, conduct a systematic study to collect data relating separation distance to force. The separation distance is defined as the distance between the centers of the two objects; the best strategy involves centering the objects on a gridline and using distances that are a whole number of squares.
2- Draw a graph represent relationship between force and separation

Answers

Answer:The electrostatic force is directly related to the product of the charges and inversely related to the square of the separation distance.

Explanation:




A 0.15 kg marble sliding to the right at 2.5 m/s on a frictionless surface makes a head-on collision with a 0.25 kg marble moving
to the left at 3.0 m/s. After the collision, the first marble moves to the left at 2.8 m/s. How fast does the second marble move to
the right?

Answers

Answer: 0.18 m/s

Explanation:

This is a conservation of momentum problem.  Total momentum before the collision must equal the total momentum after the collision.  

Momentum = p = mv

let x = velocity of the second marble after the collision

(0.15 kg)(2.5 m/s) + (0.25 kg)(-3.0 m/s) = (0.15 kg)(-2.8 m/s) + (0.25 kg)(x)

-0.375 kg·m/s = -0.42 kg·m/s + (0.25 kg)x

(0.25 kg)x = (0.42 - 0.375) kg·m/s =  0.045 kg·m/s

x =  (0.045 kg·m/s) / (0.25 kg) = 0.18 m/s

as you increase magnification what happens to the depth of field

Answers

Answer:

As you increase the magnification of an image, the depth of field decreases. This means that a greater portion of the image will be out of focus. A shallow depth of field is often used to isolate the subject from the background, while a deeper depth of field is used to keep more of the image in focus.

As you increase magnification, happens to the depth of field is decreases.

Magnification is the enlargement of the image on the radiograph compared to the size of the actual object. When zoomed in to the depth of field, the area that appears to be in focus becomes smaller and the background and foreground become more blurred. This is because as magnification increases, the focal length of the lens decreases, leading to a smaller depth of field. In order to maintain a larger depth of field while increasing magnification, you would need to increase the aperture of the lens.

In summary, as magnification increases, depth of field decreases. This is due to the relationship between magnification, focal length, and aperture. By increasing the aperture, you can maintain a larger depth of field while increasing magnification.

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4. Two forces act on a 2 kg object as shown. What is the magnitude of the acceleration of the object?
(A) 7 m/s2
(B) 5 m/s2
(C) 3.5 m/s2
(D) 0.4 m/s2

4. Two forces act on a 2 kg object as shown. What is the magnitude of the acceleration of the object?(A)

Answers

The resultant force on the object is

F = 〈0, 8〉 N + 〈6, 0〉 N = 〈6, 8〉 N

which has a magnitude of

F = √((6 N)² + (8 N)²) = √(100 N²) = 10 N

By Newton's second law, the acceleration has magnitude a such that

F = m a

10 N = (2 kg) a

a = (10 N) / (2 kg)

a = 5 m/s²

so the answer is B.

the american antelope (pronghorn) and the wildebeest are among the fastest mammals on the planet, particularly at running long distances. the maximum recorded speed for the antelope is 88.5\, \text{km/h}88.5km/h88, point, 5, start text, k, m, slash, h, end text, which it can sustain for nearly one kilometer. on the other hand, the distance, ddd, in kilometers that the wildebeest can run in ttt hours is given by the equation d

Answers

The equation d = rt can be used to figure out how far the wildebeest ran. Here, d is the distance, t is the time in hours, and r is the speed of the wildebeest.

Both the wildebeest and the American antelope (pronghorn) are fast and can run large distances. The antelope's top speed is 88.5 km/h, which it can maintain for about one kilometer. However, equation d gives the wildebeest's running distance in t hours.

In general, d indicates distance, t represents time in hours, and there may be other variables or constants. The equation might be d = rt, where r is the wildebeest's speed. If we know r, we can plug it into the equation to compute distance.

The wildebeest and antelope run at different speeds. The antelope can achieve 88.5 km/h, but only for a short distance. The wildebeest's running capacity is defined by equation d, which lets us compute its distance in a particular time.

In conclusion, the American antelope, or pronghorn, and the wildebeest are quick, long-distance runners. The wildebeest's running capacity is expressed by equation d, which determines its distance in t hours, while the antelope can reach 88.5 km/h. Without the equation, we can't answer. Understanding the equation and its variables lets us determine the distance if we have the right information.

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A 24 kg crate is moving at a constant speed because it is being pushed with a force of 53n. What would be the coefficient of kinetic friction between the crate and the floor?

Answers

Answer:

The coefficient of kinetic friction between the crate and the floor can be calculated using the formula μ = Ff / N, where Ff is the frictional force, N is the normal force, and μ is the coefficient of kinetic friction.

In this case, the normal force is equal to the weight of the crate, which is 24 kg * 9.8 m/s2 = 235.2 N. The frictional force can be calculated using the formula Ff = μ * N, where μ is the coefficient of kinetic friction and N is the normal force.

If we substitute the values for N and Ff into the formula for the coefficient of kinetic friction, we get:μ = 53 N / 235.2 N = 0.225

Therefore, the coefficient of kinetic friction between the crate and the floor is 0.225.

A 7.12 μC charge is moving at the speed of light in a magnetic field of 4.02 mT. What is the force on the charge?

Answers

Answer:

858.7 N

Explanation:

The magnetic force on the charge F = Bqv where B = magnetic field strength = 4.02 mT = 4.02 × 10⁻³ T, q = charge = 7.12 μC = 7.12 × 10⁻⁶ C and v = c = speed of light = 3 × 10⁸ m/s

F = Bqc

=  4.02 × 10⁻³ T × 7.12 × 10⁻⁶ C × 3 × 10⁸ m/s

= 858.7 N

BRAINLIEST AND 100 POINTS
What are some of the challenges for manned space exploration associated with the differences in gravity?
Select all correct answers.
1. Cardiovascular deterioration
2. Dementia
3. Bone deterioration
4. Muscle deterioration

Answers

I think that the answers for this question are…4,3,1

what is the flux through surface 1 φ1, in newton meters squared per coulomb?

Answers

The flux through surface 1 (φ1) is 3200 Newton meters squared per coulomb.

To calculate the flux through surface 1 (φ1) in Newton meters squared per coulomb, we can use the formula:

φ1 = E * A * cos(θ)

where E is the magnitude of the electric field, A is the area of the surface, and θ is the angle between the electric field vector and the normal vector of the surface.

In this case, the magnitude of the electric field is given as 400 N/C. The surface is a rectangle with sides measuring 4.0 m in width and 2.0 m in length.

First, let's calculate the area of the surface:

A = width * length

A = 4.0 m * 2.0 m

A = 8.0 m²

Since the surface is a rectangle, the angle θ between the electric field and the normal vector is 0 degrees (cos(0) = 1).

Now, we can substitute the given values into the flux formula:

φ1 = E * A * cos(θ)

φ1 = 400 N/C * 8.0 m² * cos(0)

φ1 = 3200 N·m²/C

Therefore, the flux through surface 1 (φ1) is 3200 Newton meters squared per coulomb.

The question should be:
what is the flux through surface 1 φ1, in newton meters squared per coulomb? The magnitude of electric field is 400N/C. Where, the surface is a rectangle, and the sides are 4.0 m in width and 2.0 min length.

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Hanna wants to calculate the terminal velocity of a typical meteorite just before it hits Earth. She researches meteorites at the
library and on the internet. What information does she need to find? (1 point)
O a typical meteorite's weight, surface area, and coefficient of drag; air density close to Earth
O a typical meteorite's surface area and coefficient of drag; air density close to Earth
O a typical meteorite's mass and average velocity
O a typical meteorite's weight, surface area, and coefficient of drag

Answers

After then, the meteorite accelerates quickly to achieve its terminal speed, which is between 200 and 400 miles per hour (90 to 180 meters per second).

How do astronomers determine the origin of a meteorite that reaches Earth?

The meteorite then swiftly reaches its final velocity, which is between 200 and 400 miles per hour (90 to 180 meters per second). The terminal velocity is the speed at which the acceleration caused by gravity is precisely cancelled out by the deceleration caused by atmospheric drag.

Researchers first classify the sort of rock in their investigation before dating the meteorite to ascertain its origin. Nakhla indicated that it originated 1.3 billion years ago, a significant amount of time after the majority of other meteorites, which date from the Solar system's creation, 4.56 billion years ago.

Meteorites are priced and sold by the gram because they are so rare. Price is influenced by a number of factors, including demand, scarcity, supply, specimen size, specimen quality, and preparation effort. The average cost per gram of a common iron meteorite is between US$0.50 and US$5.00.

Therefore, the correct answer is option d) a typical meteorite's weight, surface area, and coefficient of drag.

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If plants do not get watered, they will start to wilt because their central vacuoles are empty. When they get water again, they will stand back up because their vacuoles have filled back up. What process allows their vacuoles to fill back up with water? *

Answers

Answer:

osmosis

Explanation:

The process that allows the vacuoles of plants to fill back up with water after a period of wilting is osmosis.

Osmosis is the movement of water molecules from a region of higher water potential to a region of lower water potential through a semi-permeable membrane. Water enters the vacuoles of plants osmotically once water becomes available in their cells.

The availability of water in the cytosol makes it to have a higher water potential than the cell sap. In this case, the vacuole membrane or the tonoplast acts as the semi-permeable membrane and allows water to diffuse into the vacuole.

A car is moving with constant velocity of 30m/s what is it's acceleration in 10s ​

Answers

Answer:

0 m/s²

Explanation:

Acceleration is defined as the rate of change of velocity:

\(acceleration = \frac{change \space\ in \space\ velocity}{time taken}\) .

As the velocity is constant, change in velocity = 0.

∴ acceleration = 0/ 10

                        = 0 m/s²

FILL IN THE BLANK. a(n) _______ is identified as either an overload condition or a short-circuit condition.

Answers

A circuit breaker is identified as either an overload condition or a short-circuit condition.

Circuit breakers are safety devices that protect electrical systems from overloading or short-circuiting. An overload occurs when the amount of current flowing through a circuit is more than the maximum current-carrying capacity of the wires, which can cause them to overheat and start a fire. A short circuit occurs when there is a direct connection between two conductors of a circuit, causing an excessive amount of current to flow and potentially causing damage to the equipment or electrical system. Circuit breakers are designed to trip and interrupt the flow of current in the event of an overload or short circuit to prevent damage or fire.

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1. It takes 10 seconds for you to go to the cafeteria from the classroom and to
come back. Cafeteria is 20m away East to the classroom. What is your average
velocity?

Answers

Answer:

4 m/s East.

Explanation:

Velocity: This cam be defined as the rate of change of displacement. The unit of velocity is m/s.

From the question,

v = d/t...................... Equation 1

Where v = velocity, d = displacement, t = time.

Given: d = 20 m East, t = 5 seconds.

substitute into equation 1

v = 20/5

v = 4 m/s East.

Hence the average velocity = 4 m/s East.

The total sum of atoms in an object.

Answers

Answer:

Mass

Explanation:

The total sum of atoms in an object is the mass of the object. There are several ways to quantify the number of atoms in a substance.

In chemical calculations, the number of moles is a good representation of the number of atoms contained in a body. Mass is the amount of substances a body has. If we can sum up all the atoms in a substance, one will arrive at the mass of the substance

part a. A nerf dart is launched out of a pvc pipe, and while it is accelerating it goes from rest to a velocity of 30.00 m/s. The acceleration of the dart is 330 m/s^2. How long is the dart being accelerated?part b. How far does the dart travel being accelerated?

Answers

Part A. We are given that a dart travels from rest to a velocity of 30 m/s with an acceleration of 330 m/s^2 to determine the time we will use the following equation of motion:

\(v_f=v_0+at\)

Where:

\(\begin{gathered} v_f,v_0=\text{ final and initial velocities} \\ a=\text{ acceleration } \\ t=\text{ time} \end{gathered}\)

Since the dart is launched from rest this means that the initial velocity is zero, therefore:

\(v_f=at\)

Now, we divide both sides by "a":

\(\frac{v_f}{a}=t\)

Now, we plug in the values:

\(\frac{30\frac{m}{s}}{330\frac{m}{s^2}}=t\)

Solving the operation:

\(0.09s=t\)

Part B. Now, we are asked to determine the distance. To do that we will use the following equation of motion:

\(2ad=v_f^2-v_0^2\)

Now, we divide both sides by "2a":

\(d=\frac{v_f^2-v_0{}^2}{2a}\)

Now, we plug in the values:

\(d=\frac{(30\frac{m}{s})^2}{2(330\frac{m}{s^2})}\)

Solving the operations we get:

\(d=1.36m\)

Therefore, the distance is 1.36 meters.

A charge of 6.5 x 10-5 C is attracted by another charge with a force of 250 N when
they are separated by 0.15 m. Find the magnitude of the other charge.
8.65 X 105 C
9.62 × 10-2 C
6.15 x 10-6 C
O 9.62 x 10 c

Answers

Answer:

We can use Coulomb's law to solve this problem:

F = k * q1 * q2 / r^2

where F is the force between the two charges, k is Coulomb's constant (k = 9 x 10^9 N m^2 / C^2), q1 and q2 are the magnitudes of the charges, and r is the distance between them.

We know the force F, the distance r, and the magnitude of one of the charges q1. We can rearrange the equation to solve for the magnitude of the other charge q2:

q2 = F * r^2 / (k * q1)

Substituting the values we have:

q2 = (250 N) * (0.15 m)^2 / (9 x 10^9 N m^2 / C^2 * 6.5 x 10^-5 C)

Simplifying:

q2 = 8.65 x 10^5 C

Therefore, the magnitude of the other charge is 8.65 x 10^5 C.

List 4 forms of energy

Answers

Answer:

Chemical energy is energy stored in the bonds of atoms and molecules. ...

Mechanical energy is energy stored in objects by tension. ...

Nuclear energy is energy stored in the nucleus of an atom—the energy that holds the nucleus together. ...

Gravitational energy is energy stored in an object's height.

Answer:

Nuclear power

Electricity

Mechanic

Gravity

Explanation:

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Sally was diagnosed with a rare genetic disorder. Her mother does not have the disorder, but her grandmother does. Which of the following must be true?Sally's mother was never exposed to the disease.The disorder must be passed through a dominant gene.The disorder must be passed through a recessive gene.The disease only develops in senior citizens. A number is added to 4.The result is then multiplied by 3 togive a new result of 33. What is the number? what is a right angles What is the value of A on the number line below? forecasts of finished goods are determined by data from material planning. true or false Tell me about the time you were considerate to someone and water from the masses.2.43 g HO was vaporized during heating.The molar mass of HO 18.02 g/mol.How many moles of HO are present?[?] mol HOKeep at least one extra significant figure when reporting youranswer.mol HOEnter When you move your head from side to side or walk around, the apparent movement of stationary objects relative to one another is ________________________________. whats the standard form? Suppose you observe the following situation: Security Beta Expected Return Pete Corp. 1.25 .1323 Repete Co. .87 .0967 a. Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market Graph the following number on a number line.-15/8 2(4x - y) if x = -4 and y = 5 Use the future value formula to find the indicated value.FV = 10,000; i = 0.02; PMT = $800; n= ? show work if possible 17. Which of the following collecting duct transporters is required to concentrate urine? A) Aquaponin channels B) HATPase C) K channels D) Na channels E) Na- KCl-symporter PLS PLS PLS HELP Honors 9th Grade Math!!!! What is a Pareto chart ? Holding all else constant, financial leverage works to a companys advantage when?A) The return on assets is positiveB) The return on assets is negativeC) Fixed expenses are highD) Fixed assets are high Re-write the quadratic function below in Standard Formy =4(x + 5)2 3 what force attracts protons inside a nucleus to each other? responses weak nuclear force weak nuclear force residual strong force residual strong force neutron neutron strong nuclear force