A ball is thrown horizontally from the top of a tall cliff. Neglecting air drag, what vertical distance will the ball have fallen after 3 seconds?

Option C depicts the same motion of an object in both position-time (x-t) and velocity-time (v-t) graphs. The straight line in x-t corresponds to constant velocity, mirrored by a horizontal line in v-t.

The pair of graphs that represents the same motion of an object is option C. In this pair, both graphs depict uniform motion with a constant positive velocity. The position-time graph (x-t) shows a straight line with a constant slope, indicating consistent motion in one direction.

The velocity-time graph (v-t) is a horizontal line at a positive value, confirming the constant velocity. These graphs align with the principles of uniform motion, where an object maintains a steady speed and moves without acceleration. The symmetry between the two graphs in option C ensures they correspond to the same motion characteristics.

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The pair of graphs that represent the same motion will illustrate equal vertical displacement over equal time intervals for both balls, regardless of their horizontal motions. One graph will show a constant horizontal displacement for the ball with initial horizontal velocity, while the other will have no such displacement for the ball at rest horizontally.

The question regarding which pair of graphs represent the same motion of an object relates to Physics, and the concept in focus is the independence of vertical and horizontal motions in two-dimensional motion.

According to the information provided, we are looking at a scenario with two balls.

One ball drops from rest while the other has an initial horizontal velocity. However, their vertical velocities and positions are identical over time, which illustrates that the vertical motion is unaffected by whether or not there is horizontal motion. Graphicals representations of such motions will show that the positions of the balls with respect to the vertical axis are the same when plotted against time.

Therefore, the graphs that represent their vertical motion will be the same (consistent vertical displacement over equal time intervals), while the horizontal motion of one ball will be represented as a constant horizontal displacement over time, and for the other ball at rest horizontally, the graph will show no horizontal displacement.

Angle; θ ≈ 31. 5°

This question involves centripetal motion and angle of elevation.

This means, from centripetal motion we can write the force as;

F•sin θ = mv²/r - - - (1)

Where θ is the angle relative to the horizontal if the wings are banked.

r is radius

v is speed

F•cos θ = mg  - - - (eq 2)

(F•sin θ)/(F•cos θ) = (mv²/r)/mg

tan θ = v²/rg

Plugging in the relevant values L, we have;

tan θ = 300²/(15000 × 9.8)

tan θ = 0.6122

θ = tan^(-1) 0.6122

θ ≈ 31. 5°

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the answer is A. more than 50 studies were conducted and C. the us public health service was responsible for part of the study.

To achieve an electric field of 1.6 kV/mm in a capacitor charged at ±4.9 µc, each plate of the capacitor must have a calculated area of 0.000345 square meters.

This problem is best solved using the equation for the electric field in a capacitor, which is given by the formula E = Q / (ε × A), where Q is the charge on one of the capacitor's plates, A is the area of the plates, and ε is the permittivity of free space. Given that the desired electric field E is 1.6 kV/mm or 1.6 × 10^6 V/m and ε typically assumes the value of about 8.85 × 10^-12 F/m (farads per meter), we can rearrange this formula to solve for A, the plate area:

A = Q / (E × ε)

Plugging in the problem's given charge Q = 4.9 µc or 4.9 × 10^-6 C (coulombs), we find:

A = 4.9 × 10^-6 C / (1.6 × 10^6 V/m × 8.85 × 10^-12 F/m) = 0.000345 m²

Therefore, each of the capacitor's plates must have an area of 0.000345 square meters to achieve an electric field of 1.6 kV/mm when charged at ±4.9 µc.

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Answer: Hi, isolines refer to lines where some quantity maintains constant.

For example, an "istoremal line" is a line where the temperature is constant, an "isobaric line" is a line where the pressure is constant.

Where constant means that, in the two examples i give you, in all the line the temperature or the pressure has the same value.

A thing that you usually can see in a whether map, is that the isolines are "closed" curves. And other thing, maybe more obvious, is that a line cant pass over other line (because this will mean that a point in the space has 2 different values of something).

Final answer:

The gravitational force on Planet 2, which is four times more massive but orbits at three times the distance from a star compared to Planet 1, would be 4/9 of the gravitational force on Planet 1, according to Newton's law of universal gravitation.

Explanation:

The question pertains to the gravitational force exerted by a star on two different planets in orbit. According to the provided scenario, Planet 1 experiences a gravitational force denoted as f1. Planet 2 is four times as massive as Planet 1 and orbits at a distance that is three times larger from the star, resulting in gravitational force f2. To compare f1 and f2, one can use Newton's law of universal gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. For Planet 2, which has four times the mass (4M), but is at three times the distance (3d), the force of gravity, f2, can be calculated as follows:

f2 = (G * (4M) * M_star) / (3d)^2 = (4/9) * (G * M * M_star) / d^2

Where:

G represents the gravitational constant

M is the mass of Planet 1

M_star is the mass of the star

d is the original distance between Planet 1 and the star

Comparing f2 with f1, which is (G * M * M_star) / d^2, it becomes clear that f2 = (4/9)f1. Therefore, the gravitational force acting on Planet 2 is 4/9 that of the gravitational force acting on Planet 1.

Answer:

answer is A.

Explanation:

Z is the area of the diagram which has unusable thermal energy

detected.

This is also referred to as heat energy and it is responsible for

temperature differences in a body or area.

The Z region which is denoted by blue is referred to as the cold

region while the W region is the hot region. We know that since

heat is usually lost to the surroundings , then heat has been lost

to the Z region which is unusable and detected

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Answer: Refractors and absorbers.

Explanation: Almost every material takes in (at least a fraction) of a wave when a wave hits it, where some frequencies or wavelengths may have a bigger percentage taken in.

For electromagnetic waves, a perfect conductor will only reflect the incident wave, and every other case will absorb a part and reflect others.

The type of materials that are "good" by absorbing/transmitting waves are called refractors.

There are other materials called absorbers, but those ones are used for "particles", and you may recall that the light, an electromagnetic wave, can also be viewed as a particle.

When forces are balanced, the object remains stationary.

When the force with which an object pushes down on the ground is equal and opposite to the force with which the ground pushes it up, the object will remain stationary. This is because the forces are balanced, resulting in no net force and therefore no motion.

Given that two cars, starting from rest, have the same acceleration and one reaches twice the velocity of the other, the car moving twice as fast will have a displacement that is four times greater.

The subject matter of this question is related to the physics concept known as kinematics, which is a branch of classical physics that studies the motion of objects without considering the causes of their motion. Specifically, this question deals with the concepts of velocity, acceleration, and displacement.

Both cars start from rest and have the same constant acceleration. But when the radar measures their velocities, car A is found to be moving twice as fast as car B. In physics, it is known that the relationship between displacement, initial velocity, acceleration, and time is given by: displacement = initial velocity * time + 0.5 * acceleration * time^2. Since the initial velocities are zero and the accelerations are the same, the displacements will be directly related to the square of the time it took for the cars to reach the measured velocities. If Car A is moving twice as fast as Car B, it would have taken longer to reach its velocity, resulting in a greater displacement.

Thus, if car A is moving twice as fast as car B, it must have taken twice the time, and because displacement is proportional to the square of time, car A's displacement is four times greater than car B's displacement.

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Answer:

[tex]\huge \boxed{S=\frac{d}{t} }[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The formula to find speed is as follows:

[tex]\Longrightarrow \ \ \displaystyle \sf speed =\frac{distance \ travelled }{time \ taken}[/tex]

[tex]\Longrightarrow \ \ \displaystyle S =\frac{d }{t}[/tex]

You divide the distance travelled by the time taken to find the speed.

[tex]\rule[225]{225}{2}[/tex]

Answer:

final relaxed state is m = 3

Explanation:

As we know that due to transition of electron the wavelength emitted is given as

[tex]\frac{1}{\lambda} = Rz^2(\frac{1}{m^2} - \frac{1}{n^2})[/tex]

now we know that

[tex]\lambda = 1005 nm[/tex]

now we have

[tex]\frac{1}{1005\times 10^{-9}} = 1.01\times 10^7(\frac{1}{m^2} - \frac{1}{49})[/tex]

now by solving above equation for m we will have

m = 3

so the final relaxed state is m = 3

the atomic number of an atom is equal to the number of protons the atom has

the answer would be A. 34

All scientific investigations include certain core components: a scientific question, a testable hypothesis, defined variables, a control for comparison, a detailed procedure for conducting experiments, and concluding observations that address the hypotheses. These steps are part of the scientific method.

The components that are part of all scientific investigations typically include the following:

These components are integral parts of the scientific method, a process primarily used in scientific investigations. The scientific method includes making observations, asking a question, forming a hypothesis, testing the hypothesis, and drawing conclusions. It also emphasizes the importance of communication in sharing results with the scientific community.

Answer:

correct answer is 3(Is it the most unusual rock in the area)

Explanation:

Option 1:

During the formation of a rock some quantity of radioactive elements mixed with it. By measuring the quantity of this radioactive element scientist can determine the age of the rock which is known as absolute age.

option 2:

Throgh scientific investigation scientist can determine the types of minerals which make up the rock

option 3:

Through scientific investigation scientist cannot determine whether the rock is the most unusual or not. It can be determine by just looking all the rock in the area.

Option 4

Through scientific investigation the weight of the rock can be determine and it can be determine whether it is the heaviest rock in the backyard.

A star that radiates most strongly at 400 nm, a shorter wavelength than the Sun's peak at 550 nm, would be hotter according to Wein's Law.

The question concerns the relationship between the temperature of a star and the wavelength at which it radiates most strongly, based on Wein's Law. The Sun, with a surface temperature of approximately 5,800 K, radiates most strongly at about 550 nm, which is in the visible spectrum near the green-yellow part. A star that radiates most strongly at 400 nm, which is closer to the violet part of the spectrum, would be hotter than the Sun.

According to Wein's Law, the peak wavelength of radiation emission (a) is inversely related to the temperature of the emitting body (T), such that a * T = constant (where the constant is approximately 3 x 106 nm·K). Since 400 nm is shorter than 550 nm, the star with a peak emission at 400 nm must have a higher temperature than the Sun to satisfy the inverse relationship described by Wein's Law.

Answer:

Students could slip on the liquid.

Explanation: