A rock is dropped from a 134-m-high cliff. how long does it take to fall (a) the first 67.0 m and (b) the second 67.0 m?

By Ohm's Law, the voltage across the circuit is D. 12 v.

We need to know about Ohm's Law to solve this problem. Ohm's Law describes the relationship between voltage and current. It can be determined as

V / I = R

where V is voltage, I is current and R is resistance.

From the question above, we know that

I = 0.5 A

R = 24 Ω

By substituting the following parameters, we can calculate the voltage

V / I = R

V = I x R

V = 0.5 x 24

V = 12 volt

Hence, the voltage is 12 volts.

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When Marcus brakes suddenly and comes to a complete stop in 2 seconds the acceleration in km/h/sec is: -7.5 km/h/sec it is negative because it is decelerating

The formula and procedure we will use to solve this exercise is:

a = (vf - vi) /t

Where:

Information about the problem:

Applying the acceleration formula we have:

a = (vf - vi) /t

a = (0 km/h - 15 km/h) /2 sec

a = (-15 km/h) /2 sec

a = -7.5 km/h/sec

Acceleration is negative because it is decelerating

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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The average acceleration of the runner will be 1.4 m/[tex]s^{2}[/tex]

An object is said to be accelerated if there is a change in its velocity. The change in the velocity of an object could be an increase or decrease in speed or a change in the direction of motion.

Acceleration is a vector quantity as it has both magnitude and direction. It is also the second derivative of position with respect to time or it is the first derivative of velocity with respect to time.

Average acceleration refers to the rate at which the velocity changes. We divide the change in velocity by an elapsed time to find out the average acceleration of anything.

given

final speed = 14 m/s

initial speed = 0

time taken = 10 seconds

Average acceleration = change in speed / change in time

                                    = final - initial / time

                                    = 14 - 0 / 10 = 1.4 m/[tex]s^{2}[/tex]

The average acceleration of the runner will be 1.4 m/[tex]s^{2}[/tex]

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If two identical toy race cars drive horizontally on the top of a table from the same initial height, but with different initial velocities, then the race cars will hit the ground at the same time, therefore the correct answer is option A.

It can be defined as the force by which a body attracts another body towards its center as the result of the gravitational pull of one body and another.

As given in the problem If two identical toy race cars drive horizontally on the top of a table from the same initial height, but with different initial velocities,

The final velocity of the race cars depends only on the height, as the height is the same for both the cars, the race cars will hit the ground at the same time.

Thus, the correct answer is option A.

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Answer: The answer is A

Explanation:

Displacement has direction as well as magnitude. Distance traveled is the total length of the path traveled between two positions.

The large-scale transfer of material downslope under the pull of gravity is called a mass movement, also known as mass wasting, the quick or gradual sinking of the Earth's ground surface in a primarily vertical direction, or bulk movements of soil and rock debris downslopes in reaction to the pull of gravity.

The meaning of a mass movement:

An organized movement is made up of many people, especially those who do not belong to the social elite of a given society, intending to bring about significant changes to the social, economic, or political institutions that already exist.

The mass movement also refers to the downward motion of earth elements caused by gravity. If the stress applied is greater than the capacity of the substance to hold it in place, the earth's materials will detach and migrate. Shear strength is a gauge of an earth material's resistance to being moved.

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No, you cannot physically touch a person without that person touching you with the same amount of force.

According to Newton's third law of motion, for every action there is an equal and opposite reaction which means that when two objects come in physical contact with each other the exert forces on one another that is equal in terms of magnitude and opposite in terms of direction.

So, in this case you physically touch a person with x amounts of force and basically they exert the same amount of force on you.

Therefore, you cannot physically touch a person without that person touching you with the same amount of force.

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Answer:

1100 kg

Explanation:

500 lb x 2.20lb (1kg) =1100kg

For a fixed (constant) rate of heat transfer in one-direction a material with a very large thermal conductivity will have small relative size temperature gradient.

What is thermal conductivity?

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The power that is absorbed or supplied by the network elements is 32 W

The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

Looking at diagram (a), we will analyze each element separately.

P(2A) = -20(2)

(Negative because the current is entering the negative terminal)

P(2A) = -40W

Which means 40W of power is supplied by the 2A element.

P1 = (6)(2)

P1 = 12W

Therefore, 12W of power is absorbed by element 1.

P(14v) = (14)(2)

P(14v) = 28W

Thus, 28W are absorbed by the 14v element.

We will now look at diagram (b).

P(4A) = (16)(−4)

P(4A) = −64W

Which means 64W are supplied by the 4A element.

P1 = (8)(4)

P1 = 32W

P1 = 32W

Therefore, 32W are absorbed by element 1.

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Incidence is referred to as the frequency of new cases of a disorder in a given period of time.

The prevalence of an illness over a specific time period can be calculated using the incidence metric, which measures disease prevalence. In light of this, the incidence of a disease is the quantity of newly discovered cases. An illness' incidence rate is calculated by dividing the number of people at risk for the illness by the number of new cases of the illness. Out of 200 women who participated in the study (and who were free of breast cancer at the start of the study period), five would be diagnosed with breast cancer during the course of a year. In this case, the incidence of breast cancer in this cohort would be 0.025. (Or 2,500 per 100,000 study years among women)

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The acceleration of the proton is 3681 m/s^2

The term acceleration has to do with the change in the speed of the body with time. We can see here that the proton started from rest and was accelerated to 80.0% of the speed of light in 18 hours, 6 minutes, 45 seconds.

Initial velocity of the proton = 0 m/s (from rest)

Final velocity of the proton = (0.8 * 3 * 10^8 m/s) = 2.4 *  10^8 m/s

Time taken = 18 hours, 6 minutes, 45 seconds or 65205 s

Acceleration = 2.4 *  10^8 m/s -  0 m/s/65205 s

= 3681 m/s^2

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Answer:

K.E = 1/2mv²

K.E = 1/2 * 6 * 24²

K.E = 1728J

Explanation:

By conversion unit, the length in meters of green light wavelength is 5 x 10¯⁷ m.

We need to know about a conversion unit to solve this problem. Meter is the SI unit for length but there are other units which able to determine the length such as nanometer. The conversion unit of nanometer to meter is

1 nm = 10¯⁹ m

From the question above, we know that the wavelength of green is 500 nanometers. in a meter, we can write as

500 nm = 500 x 10¯⁹ m

500 nm = 5 x 10¯⁷ m

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Magnitude charge creates electric field at a point 3.40m away is 4.11×1⁻⁹C

Electric field - It is defined as electric force per unit charge.

The direction of field is taken to be the direction of the force.

The electric field is outward from a positive charge and in towards negative point charge.

To calculate magnitude charge. Let us take electric field

E = Kq/r²

where

K = electric field constant

q = magnitude of charge

r = distance of separation

E = Kq/r²

Er² = Kq

q = Er²/K     -------1.

given values are

E =3.20 n/c

r = 3.40 m

q = 9.0 × 10⁹

using these values in equation 1 we get

q =  3.20N/C * (3.40 m)^2/9.0 × 10⁹

q = 4.11×1⁻⁹C

Magnitude charge that creates electric field at a point 3.40m away is 4.11×1⁻⁹C.

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When the road and weather are ideal, the three-second rule is advised for passenger cars. When driving in bad weather or when visibility is poor, slow down even more and widen your following space. If you are operating a bigger vehicle or pulling a trailer, you should also widen your following distance.

Distance is a measure of how far away two objects or locations are using numbers. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language (e.g. "two counties over"). It is occasionally used to indicate the distance between two points[tex]{\displaystyle |AB|}|AB|[/tex]. The terms "distance from A to B" and "distance from B to A" are frequently used interchangeably. A distance function or metric is a technique to describe what it means for components of a space to be "near to" or "far away" from each other in mathematics. It is an extension of the idea of physical distance.

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The magnitude of the magnification for converging lens is 3

Converging lens is convex lens whereas diverging lens is a concave lens.

Given:

distance of object from converging lens = 6.0 cm

focal length = 9.0 cm

To Find:

magnitude of the magnification

Solution: Magnification is the ability of a microscope to produce an image of an object at a scale larger (or even smaller) than its actual size.

Magnification (m) = h / h' Here, h is the height of the object and h' is the height of the object. Besides, it can also be related to the object distance and image distance. So, it can be written as: m = -v/u

Using the formula for magnitude of magnification

1/f = 1/d° + 1/di

M = - d1/d° = 3

Hence, magnitude of the magnification is 3

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Answer:

its probably covalent compound

The earth could not be broken apart by the impactor since it was formed of such light material (mostly gas and liquid).

According to the Giant Impact Hypothesis, which is the most widely accepted theory for how the moon formed, the Earth and a Mars-sized object called Theia collided with each other as they were forming as protoplanets. The moon was created from a large amount of debris. According to this theory, the Moon was created after the Earth collided with a smaller planet that was around Mars' size. The Moon was created when the impact's leftover debris gathered in an orbit around Earth.

The larger body may have caught the iron core of the striking object.

The key to this theory is understanding how consciousness works and harnessing its power for good. By doing so, we can help to manifest positive changes in our world collectively.

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The collinear points are also known as coplanar but coplanar cannot be collinear all the time.

The difference between Collinear Points and Coplanar Points is that the former a states that if three or more points lies in a straight line  and a line on which the points lie, especially if it is related to a geometric figure such as triangle, is also called an axis while the latter are simply the same as the meaning of the Collinear but lies on the same plane.

Collinear points lie on the same line and  Coplanar points also lies in the same plane.

For example, we have a image which has 3 points A, B and C on the plane M. Those points and plane lies on the same line. So, that it can be known as collinear and coplanar.

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An 0.075 c point charge's surrounding gaussian surface's electric flux  is 8.5 ×10⁹Nm²/C.

In three dimensions, the Gaussian surface is referred to as a closed surface where the flux of a vector field may be determined. The gravitational field, the electric field, or the magnetic field are all examples of these vector fields.

We build a fictitious Gaussian surface around the supplied surface when the surface of which an electric field or flux must be established is asymmetrical or the surface area is challenging to obtain, such as the surface area for an infinitely long wire or plane. The Gaussian surface is said to utilize symmetry the best.

When a charge q is surrounded by a gaussian surface, the electric flux that passes through it is

[tex]\phi=q / \epsilon 0[/tex]= 0.075 / ( 8.85 ×10⁻¹²)

= 8.5 ×10⁹Nm²/C.

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The corresponding frequency of infrared radiation of a wavelength of 970 nanometer (nm) is 3 x 10^14 Hertz.

The relation between the frequency and wavelength of a radiation is as follows:

c = f x λ

Here c = speed of light = 3 x 10^8 m/s

So, the frequency of a given wavelength can be calculated by applying the above formula,

Putting λ = 970 nm = 970 x 10^-9 m

3 x 10^8 m/s = f x 970 x 10^-9

f = 3 x 10^14 Hz.

Hence, the corresponding frequency of radiation of a wavelength of 970 nm is 3 x 10^14 Hertz.

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In the sample, 15 women have body temperatures that are lesser than 98 degrees Fahrenheit.

The correct option is D.

In mathematics, and much more specifically through the graph theory, a chart is a structure that essentially consists of a set of objects, some of which are paired together to form "related" objects. The related pairs of vertices are known as edges, and the objects are equivalent to mathematical abstractions known as vertices.

Graphs are frequently used to visually represent data relationships. Data that are too numerous or complex to be adequately described in the text and in a smaller amount of space are presented using graphs.

Graphs come in a variety of shapes and sizes, including connected and disconnected graphs, bipartite graphs, weighted graphs, directed and undirected graphs, and simple graphs.

As we can see in the graph:

In class limit 96-97 = 3

In class limit 97-98 = 12

Therefore, 3+12 = 15

Approximately 15 women.

In the sample, 15 women have body temperatures that are lesser than 98 degrees Fahrenheit.

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I understand that the question you are looking for is:

This histogram shows body temperatures, in degrees Fahrenheit, for 65 healthy adult women. frequency 40 97 98 99 temperature 100 101 Approximately how many women in the sample have a body temperature lower than 98 degrees Fahrenheit?

A. 45

B. 50

C. 20

D. 15

To make a 200 ml solution of 5 mm sucrose from a 100 mm sucrose solution we have to take a volume of: 10ml of the concentrated solution

To solve this problem, the formula and the procedure that we have to use is:

c1 * v1 = c2 * v2

Where:

Information about the problem:

Applying the dissolution of concentrations formula and clearing the volume of the concentrated solution (c1) we get:

c1 * v1 = c2 * v2

v1 = (c2 * v2)/ c1

v1 = (5 mm * 200 ml)/ 100 mm

v1= 10 ml

In chemistry a solution is known as a homogeneous mixture of two or more components called:

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The colors that fall directly between a secondary and a primary on Newton's color wheel are referred to as intermediate colors

Isaac Newton revisited this same white sunlight's rainbow-colored dispersion when he was 23 years old. He noticed that the white sunshine was divided into red, orange, yellow, green, cyan, and blue light when he held a prism of glass in the direction of a beam of sunlight streaming through a hole in the blind of his darkened chamber. He found that the red, green, and blue areas of his rainbow's three distinct colors could be merged to create white light using prisms and mirrors. These are the fundamental hues, as he put it. Secondary hues were created when any two of these were blended. He noticed cyan-colored light when he blended blue and green light.

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The fast-moving ball will require a greater force to stop than the slow-moving ball of the same mass because the fast-moving ball has more acceleration than the slow-moving ball.

Newton's second law of motion states that "the magnitude of the force acting on an object is equal to the mass of that object and and the acceleration with which it moves.

In other words, the rate of acceleration with which a body moves is directly proportional to the force needed to stop it, and inversely proportional to the mass of the body. Thus, the faster an object moves, the greater the force that will be required to stop it.

That is why the fast-moving ball in the question needed a greater force to stop it than the slow-moving ball, even though they are of the same mass.

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At F the object moving to the left, if the positive x-direction corresponds to its rightward movement.

Δx = [tex]X _{2}[/tex] - [tex]X_{1}[/tex]

where,

Δx = Change in position

[tex]X _{2}[/tex] = Final position

[tex]X_{1}[/tex] = Initial position

If Δx is positive, the object is moving forwards ( Right ).

If Δx is negative, the object is moving backwards ( Left ).

If the curve is moving from top to bottom Δx will be negative and if the curve is moving from bottom to top Δx will be positive.

So, in this given curve, at the points B, C and D, the curve is moving from bottom to top meaning that the object is moving to the right and at the point F, the curve is moving from top to bottom meaning that the object is moving to the left.

Therefore, At F the object moving to the left, if the positive x-direction corresponds to its rightward movement.

The given question contains no distance - time graph. I considered the attached image as the graph.

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The length of a side of the cube is 21.83 cm.

We need to know about cube volume to solve this problem. Cube volume can be calculated by multiplying the length of the cube. It can be written as

V = L³

where V is cube volume and L is cube length.

From the question above, we know that

V = 11 quart = 2.75 gallon

1 gallon = 3.786 liters

Convert volume to liters

V = 2.75 gallon

V = 2.75 x 3.786 liters

V = 10.41 liters

V = 10.41 dm³

Find the length

V = L³

10.41 = L³

L = ³√10.41

L = 2.18 dm

Convert length to cm

L = 2.183 dm

L = 21.83 cm

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