Referring to the sketch of a planet around the sun, Area Als three times that of Area B. Compare the times required for

the planet to travel from Point 1 to Point 2 and from Point 3 to Point 4 and select the letter of the correct answer

At it nine timesta

Atat equal to At

At it three times to

Atsis three times A

stis nine time to

Answers

Answer 1

Referring to the sketch of a planet around the sun, Area A is three times that of Area B the time [tex]t_{a}[/tex] is three times [tex]t_{b}[/tex] .

The orbit of an object is its course through space. Kepler first believed that planets' orbits were circular, but this incorrect assumption prevented him from discovering orbits that were consistent with Brahe's observations. He ultimately learned from the data for Mars that its orbit resembled an elliptical version of a slightly flattened circle. The ellipse is the most basic closed curve after the circle and is a member of the conic section family of curves.

This characteristic proposes a quick method for creating an ellipse. Two tacks are inserted into a drawing board through a sheet of paper, and the ends of a loop of string are wrapped around them to create slack by a planet.

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Related Questions

You hit a ball with a bat that delivers 100 N of force. Which of the following scenerios will give the ball the greatest speed.
Time doesnt matteronly the force does.
Try to apply the 100 N force for 0.01 s.
Try to apply the 100 N force for 0.1 s
Try to apply the 100 N force for 0.2 s.
None of these

Answers

Answer:

Try to apply the 100 N for 0.2 s.

If an object has 100 joules of potential energy (pe) at the top of a ramp, how much kinetic energy (ke) will there be at the other two locations indicated, half-way down the ramp and at the bottom the ramp?.

Answers

50 joules and 100 joules will be kinetic energy at half-way down the ramp and at the bottom the ramp respectively  assuming there is no friction.

What exactly is the law of conservation of energy ?

According to the rule of conservation of energy, energy cannot be created or destroyed. For instance, kinetic energy is converted to potential energy when a toy vehicle is rolled down a ramp and collides with a wall.

If an object contains 100 joules of potential energy at point an in the beginning, then at point b, the object's kinetic energy will be deducted from the 100 joules of potential energy that were initially there. This is due to the fact that no new energy will be created or lost as the potential energy is converted to kinetic energy.

P.E + K.E = 0

At half-way down the ramp , P.E will be 100/2 i.e. 50joules

At the bottom the ramp, P.E will be Equal to K.E i.e. 100joules.

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What is the correct way to report the length of the rectangle in centimeters? Select one: 15.60 cm 15.6 cm 15.600 cm 16 cM

Answers

The correct way to report the length of the rectangle in centimeters is 15.60 cm.

What do you mean by significant figures ?

The number that is given as digits is established using significant figures. A meaningful representation of numbers is carried by these digits. Frequently, significant digits are employed in place of figures.

By counting all of the values beginning with the first non-zero digit on the left, we may determine the number of significant digits. 12.45, for instance, has four significant digits.

The act of determining an object's length in some standard or non-standard units is known as length measurement. In our daily lives, the ability to measure length is crucial.

Therefore, The correct way to report the length of the rectangle in centimeters is 15.60 cm.

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An electron is ejected horizontally, with a speed of 1. 5 x 10^6 m/s, from the electron gun of a tv set. If the viewing screen is 35 cm away from the end of the gun, how far will the electron fall or travel in the vertical direction before hitting the screen?.

Answers

The electron's motion can be described as a combination of constant-speed horizontal motion and gravity-influenced vertical motion. The vertical motion can be described using the following equation:

y = v₀t + (1/2)gt²

where y represents vertical displacement, v0 represents initial vertical velocity (0 m/s), t represents the time elapsed, g represents gravity's acceleration (9.8 m/s²), and t represents the time elapsed.

Because the electron moves horizontally at a constant speed, its horizontal distance can be expressed as:

x = vt

where v denotes horizontal velocity (1.5 x 10(6) m/s).

We can use the relationship between horizontal and vertical distances to calculate the time elapsed:

35 cm = 0.35 m x = vt

t = x / v

Plugging in the values:

t = 0.35 m / (1.5 x 10⁶ m/s)

Substituting the time elapsed into the equation for the vertical displacement:

y = v₀t + (1/2)gt²

y = 0 m/s + (1/2)(9.8 m/s²)(t²)

So the electron will fall a distance of y in the vertical direction before hitting the screen.

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A low-carbon steel tensile specimen with starting gage length = 2. 0 in and cross sectional area = 0. 5 in2 reaches a maximum load of 20,000 lb. Its elongation at this point is 25%. Determine (a) tensile strength, (b) engineering strain, (c) true stress, and (d) true strain at this maximum load

Answers

(a) Tensile strength can be calculated using the formula:

Tensile strength = Maximum load / Cross-sectional area

Tensile strength = 20,000 lb / 0.5 in2 = 40,000 psi

(b) Engineering strain can be calculated using the formula:

Engineering strain = (Change in length) / (Initial length)

Engineering strain = (0.25 * 2.0 in) / 2.0 in = 0.25

(c) True stress can be calculated using the formula:

True stress = Maximum load / Original cross-sectional area

True stress = 20,000 lb / (0.5 in2 * (1 + 0.25)) = 26,666 psi

(d) True strain can be calculated using the formula:

True strain = ln (1 + Engineering strain)

True strain = ln (1 + 0.25) = 0.2586

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do experimental measurements give the true value of a physical quantity? explain.

Answers

Experimental measurements don't necessarily reflect a physical quantity's genuine value. The ideal or theoretical value of a physical quantity, which is never perfectly measurable in reality, is that quantity's true value.

When a physical quantity is measured, it is always subject to a variety of causes of error, including the constraints of the measuring device, the environment, operator error, and random fluctuations.

The most that can be done is an estimation of the true value, which is expressed as a measured value with a corresponding uncertainty. The range of values that can be logically regarded as the actual value of the quantity being measured is reflected in the uncertainty. The accuracy of the measuring device, the operator's expertise, and the repeatability of the measurement process are all elements that influence the measurement's uncertainty. In conclusion, experimental measurements provide an estimate of a physical quantity's real value rather than the actual value.

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The M9 serivce pistol failing to eject the cartridge is called which type of stoppage?

Answers

The M9 service pistol failing to eject the cartridge is called Stovepipe.

When an empty cartridge case gets caught partway out of the ejection port instead of being thrown clear, it causes a stovepipe or smokestack in bolt-action, pump-action, semi-automatic, and fully automatic firearms that fire from a closed bolt.
Stovepipes are caused by insufficient cycling and incomplete ejection. Possible causes include: "Limp-wristing" is the practise of holding the gun so loosely that it almost points straight up during recoil. This prevents the slide from fully cycling.
The round was not loaded with enough powder to properly cycle the action, and the empty shell is now trapped between the slide and the chamber. The grip on the gun was insufficient to keep it steady as the action cycled after the shot.

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an experiment must have a placebo group in order to be valid. True or False

Answers

The given statement "an experiment must have a placebo group in order to be valid" is not true because not all experiments require a placebo group in order to be considered valid.

A placebo group is used in some experimental designs to control for the placebo effect, where a participant's expectations or beliefs about a treatment can influence the outcome. However, there are many other experimental designs that do not require a placebo group, such as observational studies, crossover studies, and randomized controlled trials. The appropriate design depends on the research question being asked and the type of treatment being tested.

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it is assumed that the density of water is 1000 kg/m3. if the specific gravity of mercury is 13.6, what is the density of mercury? multiple choice question. 0.00136 kg/m3 13.6 kg/m3 1360 kg/m3 1.36 kg/m3 13600 kg/m3

Answers

The density of mercury is 13,600 kg/m³.

The density of a substance is the ratio between the mass of a substance to the volume of the substance. The specific gravity of a substance or relative density of a substance is the ratio between the density of a substance to the density of water.

SG of a substance = ρ of a substance ÷ ρ water

SG = specific gravity
SG mercury = 13.6ρ = density (kg/m³)
ρ water = 1,000 kg/m³

The specific gravity of a substance is also the ratio of the mass of a substance to the mass of water. The volume of a substance is equal to the volume of water.

SG mercury = ρ mercury ÷ ρ water

13.6 = ρ mercury ÷ 1,000

ρ mercury = 13.6 × 1,000

ρ mercury = 13.600 kg/m³

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Which of the following do you see moving with constant velocity? (There may be more than one correct answer.) A. A person riding on a Ferris wheel that is turning at a constant rate B. A can of soda sitting on a table C. A tennis ball traveling across the court after having been hit by a tennis racket D. A ship sailing northeast at a speed of 5 meters per second
E. The Moon orbiting the Earth

Answers

The options 1 and 4 are correct given that the concept of constant velocity applies to their situation where, and object moves in a constant speed and direction.

What is velocity?

Velocity is the directional speed of an object in motion as an indication of its rate of change of position, as observed from a specific frame of reference and as measured by a specific time standard (e.g. 60 km/h heading north). Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of bodies.

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What is the equilibrant force for 53 newtons, W: 28 newtons, S:12
newtons, N; 24 newtons, E?

Answers

The equilibrant force is 45 N, acting in the direction opposite to the net force.

What is meant by equilibrant force?

The equilibrant force is the force that is required to balance all other forces acting on an object in a specific situation. To find the equilibrant force for the given forces, you need to determine the net force acting on the object.

The net force can be found by adding the individual forces acting on the object:

Net force = 53 N + 28 N - 12 N - 24 N = 45 N

Equilibrant force = - 45 N = 45 N, acting in the opposite direction of the net force.

In this case, the equilibrant force is 45 N, acting in the direction opposite to the net force.

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The statements below represent each step of the Scientific Method based upon a research study conducted about the effects of fast food reported by ABC news, which you can view HERE. Match each statement to the appropriate step of the Scientific Method. Example: Will people who eat fast food, daily, develop symptoms of poor health related to obesity? Observation/Question Answer:
A. Hypothesis (What do you believe will happen?) B. Experiment (Procedures that lead to a discovery or test a hypothesis.) C. Results (The outcome of the experiment.) ___. The hypothesis was supported by the data; the increased intake of calories in the experimental group increased the likelihood of developing hypertension. ___. An experimental group of 20 subjects will consume an extra 1000 calories per day from fast food, in addition to their normal daily caloric intake. A control group of 20 subjects will not consume an extra 1000 calories from fast food and will continue with their normal diet. The blood pressure of each subject in both groups will be recorded once per week for eight weeks. ___. People who increased their caloric intake by 1000 calories per day are more likely to develop hypertension (high blood pressure). ___. After eight weeks, 70% of subjects in the experimental group had developed hypertension. In the control group, only 5% of subjects developed hypertension.

Answers

A. Hypothesis (What do you believe will happen?) People who increased their caloric intake by 1000 calories per day are more likely to develop hypertension (high blood pressure).

What is Hypothesis ?

Hypothesis is a process of generating testable predictions about a certain phenomenon. It is an educated guess or explanation of a certain phenomenon, based on available facts and evidence. It is the starting point for further investigation and helps to determine the outcome of a scientific experiment. Hypothesis helps to develop a framework of understanding and can be used to create further predictions. It is an essential step in the scientific method, as it helps to structure an experiment and provide a basis for further evaluation.

B. Experiment (Procedures that lead to a discovery or test a hypothesis.) An experimental group of 20 subjects will consume an extra 1000 calories per day from fast food, in addition to their normal daily caloric intake. A control group of 20 subjects will not consume an extra 1000 calories from fast food and will continue with their normal diet. The blood pressure of each subject in both groups will be recorded once per week for eight weeks.

C. Results (The outcome of the experiment.) After eight weeks, 70% of subjects in the experimental group had developed hypertension. In the control group, only 5% of subjects developed hypertension. The hypothesis was supported by the data; the increased intake of calories in the experimental group increased the likelihood of developing hypertension.

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if a star of mass 2 solar masses has a planet with a period of 2 years, then what is the planet's separation (distance) from the star?

Answers

If a star of mass 2 solar masses has a planet with a period of 2 years, then 2AU is the planet's separation (distance) from the star.

What is the harmonic third law of Kepler?

The orbital period of a planet—the amount of time it takes for one orbit to complete—relates to its mean distance from the Sun according to Kepler's third law, often known as the Harmonic Law. The closest planets have the fastest speeds and the shortest orbital periods, according to this law. History. In 1609, Kepler published his first two planetary motion laws, which he had discovered by examining Tycho Brahe's astronomical data. In 1619, Kepler's third law was made public.

we have Keplers third law of planetry motions as

[tex]p^{2}=a^{3}/(M_{s}+M_{p})[/tex]

where

p= period

a= distance in AU

Ms= mass of star

Mp=mass of planet

we will assume

Ms + Mp = Ms

(As mas of planet is very small compare to star)

Now,

2² x 2 = a³

a = 2 AU

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Sorry, just for clarification is this d? Thank you!

Answers

B

Explanation:

I suggest option B for you but you could research more on it

The accelerations possible for a ball on an incline plane
A. Range from g to infinity
B. Have no limit
C. Range for 0 to g

Answers

A ball on an inclined plane (C) can accelerate at speeds between 0 and g.

An inclined plane, also referred to as a ramp, is a flat supporting surface that is tilted at an angle and has one end that is higher than the other.

One of the six simple machines, the inclined plane helps raise or lower a load. The unbalanced force causes objects placed on an inclined plane to accelerate.

In an inclined plane, the normal force does not act in the way that we are used to. Up until this point, normal force has always been seen to be directed upward, counter to the pull of gravity.

The truth is that normal forces are not always upward.

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sketch at least two cycles of the voltage vs time graph for an ideal periodic digital waveform with a 1.0 volt amplitude, a 12 us period and a 25% duty cycle. label your axes clearly. what is the frequency of this waveform?

Answers

The sketch for the voltage vs time graph for an ideal periodic digital waveform with a 1.0 volt amplitude, a 12 us period and a 25% duty cycle would look like this:

The x-axis represents time and the y-axis represents voltage.The frequency of this waveform is 83.3 kHz (1/12 us).

The voltage vs time graph for an ideal periodic digital waveform with a 1.0 volt amplitude, a 12 us period and a 25% duty cycle is a type of waveform that is commonly used in digital electronics. This type of waveform is important because it is used to represent the logical states of digital circuits, such as 0's and 1's.

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two charges are on the x-axis (see below). charge 1 is is 50.0 nc and is located 20.0 cm to the left of the origin. charge 2 is located 35.0 cm to the right of the origin. 1) what is the magnitude and direction of the electric field at the origin due to charge 1?

Answers

The electric field due to charge 1 at the origin is 2.24 x 10^5 N/C in the direction to the left.

What is Coulomb's Law?

Coulomb's Law states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. It is represented as F = (k * q1 * q2) / r2, where F is the force, k is a constant, q1 and q2 are the charges, and r is the distance between the two particles.

Charge 1: 50.0 nC, located 20.0 cm to the left of origin

Charge 2: 35.0 cm to the right of origin

Using Coulomb's Law, the electric field at the origin due to charge 1 is:

E1 = kQ1/r^2

Where:

k = 8.99 x 10^9 Nm^2/C^2

Q1 = 50.0 nC = 5.00 x 10^-7 C

r = 20.0 cm = 0.20 m

Therefore,

E1 = (8.99 x 10^9 Nm^2/C^2)(5.00 x 10^-7 C)/(0.20m)^2

E1 = 2.24 x 10^5 N/C

Hence, the electric field due to charge 1 at the origin is 2.24 x 10^5 N/C in the direction to the left.

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a mobile robot is facing y direction. where b =20cm is the distance along the axle between the centers of the t wo wheels. r1 and r2 are the diameters of the two wheels. w l and wr are

Answers

w1 and wr are the angular velocities will be the correct answer .

What is Distance ?

Distance is a scalar quantity that describes the amount of space between two points. It is usually measured in units of length, such as meters, kilometers, or miles. Distance can be calculated as the magnitude of the displacement vector, which is the difference between the initial and final positions of an object.

In physics, distance can be used to describe the length of a physical object, the distance between two points in space, or the length of a path taken by an object. In mathematics, the concept of distance is often used in geometry and can refer to the length of a line segment, the shortest distance between two points, or the distance between two shapes.

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determine the magnitude of the resultant of the two forces acting at point a . express your answer to three significant figures and include the appropriate units.

Answers

According the diagram, the magnitude of resultant force at A was found to be 1183N.

Calculation:

First, we have to calculate the position vectors of all the point symbols:

Position vector of A= 0i+ 0j+ 6k

Position vector of B= 3i- 2j+ 0k

Position vector of C= 2i+ 3j+ 0k

Vector AB is formed by

Vector AB= Position vector of B - Position vector of A= (3i- 2j+ 0k) – (0i+ 0j+ 6k)= 3i- 2j- 6k

Magnitude of Vector AB= √(i^2+ j^2+ k^2) = √(3^2 +2^2 +6^2)= 7

Univector of AB= UAB = Vector AB/ Magnitude of Vector AB= (3i- 2j- 6k)/7 = 0.429i- 0.28j- 0.857k

Magnitude of force at B= 840N

Cartesian vector form of AB= (Magnitude of force at B)*( Univector of AB)= 840*(0.429i- 0.28j- 0.857k)

Cartesian vector form of AB= 360i- 240j- 720k

Similarly for vector AC,

Vector AC= Position vector of C - Position vector of A= (2i- 3j+ 0k) – (0i+ 0j+ 6k)= 2i+ 3j- 6k

Magnitude of Vector AC= √(i^2+ j^2+ k^2) = √(2^2 +3^2 +6^2)= 7

Univector of AC= UAC = Vector AC/ Magnitude of Vector AC= (2i+ 3j- 6k)/7= 0.286i- 0.429j- 0.857k

Magnitude of force at C= 420N

Cartesian vector form of AC= (Magnitude of force at C)*(Univector of AC)= 420*(0.429i- 0.28j- 0.857k)

Cartesian vector form of AC= 120i+ 180j- 360k

With the two Cartesian vector forms, we can calculate resultant force at A= (120i+ 180j- 360k) + (360i- 240j- 720k)= 480i- 60j- 1080k

Magnitude of resultant force at A= √ (i^2+ j^2+ k^2)= 1183N

Complete question: attached in document

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If F = 5 kN and theta = 30 degree, determine the magnitude of the resultant force and its direction (measured counterclockwise from the positive x axis).

Answers

Given a force F = 5 kN operating at an angle of = 30°, the size of the resulting force may be calculated as follows:[tex]\begin{equation}(F 2+F 2-2 F x F \cos ())=R\end{equation}[/tex] is the resulting force's size.

F is the magnitude of each force, and is the angle between the forces. When we plug in the values, we get: [tex]R = √(5^2 + 5^2 - 2 * 5 * 5 * cos(30°)) R = √(25 + 25 - 50 * √(3)/2) R = √(50 - 25 * √(3)) R = √(50 * (1 - √(3))) R = √(50 * (√(3) - 1)) R ≈ 7.07 N[/tex] The inverse tangent (arctan) function may be used to calculate the direction of the resulting force, as shown below: arctan(Fsin() / (Fcos() + F)) where is the resulting force angle measured counterclockwise from the positive x-axis. When we plug in the values, we get: [tex]arctan(5 * sin(30°) / (5 * cos(30°) + 5) arctan(0.5 / 2.5) = Φ ≈ 14.04°[/tex] As a result, the resulting force has a value of roughly 7.07 N and a direction of approximately 14.04° counterclockwise from the positive x-axis.

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a load of 60 j 80 has a current of 9.60 a with a phase angle of 30o, the real power absorbed by the load is:

Answers

A load of 60 j 80 has a current of 9.60 a with a phase angle of 30o, the real power absorbed by the load is P=5529.61W

Z₁ = 60+j80

I=96/30 A

VL= 2. ZL= (9.6(30) 60+j80)

V₁ =(19.6/30") (100|53.136)

Vl=960 (83.130) V

power absorbed by Land

= (960) (9.6) cos(83.136 - 30°)

P=5529.61W

Real power is the amount of energy that is actually consumed by the resistive load, whereas perceived power is the amount of energy that the grid must be able to handle. Real power is measured in watts, but apparent power is measured in VA (Volt Ampere),

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charge q1 = 3.00 nc is at x1 = 0 and charge q2 = 7.50 nc is at x2 = 4.00 m. at what point between the two charges is the electric field equal to zero

Answers

The point between the two charges where the electric field equal to zero is calculated to be 1.55 m.

The charge q₁ is given as 3 nc = 3 × 10⁻⁹ c

It is located at x₁ = 0.

The charge q₂ is given as 7.5 nc = 7.5 × 10⁻⁹ c

It is located at x₂ = 4 m.

Let us suppose that, electric field is zero at the point x, it is in between 0 and 4 m.

We know the formula for electric field as,

E = k q /r²

Let us equate the electric field at both the charges.

k q₁/x² = k q₂/(x₂ - x)²

q₁ (x₂ - x)² = q₂ x²

3 × 10⁻⁹× (4 - x)² = 7.5 × 10⁻⁹ × x²

3 × ( 16 + x² - 8x) = 7.5 ×x²

48 + 3x² - 24x = 7.5x²

4.5 x² + 24x - 48 = 0

The two values of x are,

x = 1.55, -6.883

The distance cannot be negative. So, the electric field at x = 1.55 m is said to be zero.

Thus, the required value of x is 1.55 m.

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what is the peak wavelength of energy radiated by a planetary body with surface temperature near 10 °c, like the earth

Answers

The peak wavelength of energy radiated by a planetary body with a surface temperature near 10°C, like Earth, is around 10 micrometers.

The amount of energy radiated by a body is related to its temperature, and the peak wavelength of that energy is a characteristic of the temperature. The relationship between the peak wavelength and temperature is described by Wien's law, which states that the peak wavelength of energy radiated by a black body is proportional to the reciprocal of its temperature in kelvin.

Since the surface temperature of Earth is around 10°C, or 283 kelvin, the peak wavelength of energy radiated by Earth can be calculated as:

Peak wavelength (in micrometers) = 2.898 * 10^-3 / T

Where T is the temperature in kelvin. Plugging in the temperature of Earth gives us a peak wavelength of around 10 micrometers.

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State laws of conservation and energy and prove it in case of a freely falling body​

Answers

According to the law of conservation of energy, energy cannot be created or destroyed. Energy changes into different forms, and potential energy plus kinetic energy equals a constant.

The physical energy of the system is conserved in the scenario of a freely falling body. The kinetic energy (K) and potential energy (U) of the freely falling body are added to form mechanical energy (E).

Thus, E = K + U = constant.

Potential energy is the opposite of the work performed by a force that affects the body. In the case of earth's gravity, the potential energy of a body with mass m and height h is given by the equation:

PE = mgh.

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A stone is tossed vertically upward with an initial velocity of 25 ft/s from the top of a 30-ft building.(a)What is the height of the stone after 0.25 s

Answers

Answer:

H = V0 t - 1/2 g t^2        height (from top of building) after t sec

H = 25 * .25 - 9.8 / 2 * .25^2 = 5.94 m

H = 6 m after .25 sec and the total height is 36 m

h =36 m above ground

The elevation of the stone following 0.25 seconds is 36 meters above the ground, as shown by the question.

We estimate beginning velocity because...

To separate the enzyme's impact from the uncatalyzed action. Since enzymes are permanently destroyed throughout catalysis, it is necessary to determine the reaction's rate with a known [E]T. to calculate the reaction's speed using a given [S] before it starts to alter noticeably over time.

H = V0 t - 1/2 g t^2       height (from top of building) after t sec

H = 25 * .25 - 9.8 / 2 * .25^2 = 5.94 m

H = 6 m after .25 sec and the total height is 36 m

h =36 m above ground

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Please answer this by 8!! Thank you so much!!

Answers

Answer:

A

Explanation:

because i just knowg a hdduehdudhdreheiei

A Heater Is Rated At 1200 W. How Much Current I Does It Draw When It Is Connected To A 120-V Voltage Source?

Answers

Current it draws when it is connected to a 120-V Voltage Source is calculated as 10A.

What is meant by power?

Electric power (P) of any appliance is defined as the product of the voltage applied on it (V) and the current that flows in it (I).

The rate at which work is done or energy is transferred in an electrical circuit is called electric power or we can also say that it is a measure of how much energy is used in a span of time.

Therefore, P=I*V.

We need to calculate the current and we have the power and the voltage.

Given a heater rated at 1200 W and connected to  120 V voltage source will draw a current of 1200 W / 120 V = 10 A.

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What is the electric field at the center of square when three sides of square have a charge of 4 columb?

Answers

The electric field at the center of the square when three sides of square have a charge of 4 coulomb will be zero.

This is because the electric fields from each side of the square will cancel each other out. The electric field of a single side of the square is given by the equation E = q/4πεr, where q is the charge, ε is the permittivity of free space, and r is the distance from the center of the square. Since the distances from the center of the square to the sides are all equal, the electric fields from the sides will be equal in magnitude and opposite in direction, meaning that the net electric field at the center of the square will be zero.

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if the vector sum and the magnitudes of the vectors when added is given by a b = c, then the vectors and must have their orientation

Answers

The direction of the electric field at point "A" is from left to right and the direction of the electric field at point "B" is from right to left. The direction of the electric field at point "C" is downward.

The electric field is a field that describes the force experienced by a charged particle due to the presence of other charged particles or electric charges. The electric field is a fundamental concept in electromagnetism and is used to understand and predict the behavior of charged particles in various situations.

Electric field lines are used to represent the direction of the electric field. They are lines that start from positive charges and end at negative charges. The direction of the electric field at any given point is the direction in which a positive test charge would be pushed if placed in the field. The closer the electric field lines are together, the stronger the electric field is in that region.

The electric field can be caused by a variety of sources, including point charges, distributed charges, and electric dipoles. The electric field can also be influenced by other factors such as conductors, insulators, and dielectrics.

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An astronaut is floating in space hear her shuttle when she realizes that the cord that’s
supposed to attached her to the ship has become disconnected. Her total body mass (body +
suit + equipment) is 91 kg. She reaches into her pocket, finds a 1 kg metal tool, and throws it out
into space with a velocity of 9 m/s directly away from the ship. If the ship is 10 m away, how
long will It take her to reach it?

Answers

It will take the astronaut approximately 4.74 seconds to reach the ship after she becomes disconnected from the cord.

This is a problem of one-dimensional motion with a constant acceleration, which can be solved using Newton's second law of motion. The acceleration experienced by the astronaut is equal to the force of gravity divided by her mass.

First, let's calculate the force of gravity acting on the astronaut:

F_gravity = m * g

where m is the mass of the astronaut (91 kg) and g is the acceleration due to gravity (9.8 m/s^2 on Earth).

Next, let's calculate the net force acting on the astronaut:

F_net = F_gravity - F_tool

where F_tool is the force exerted by the tool on the astronaut as it is thrown away from the ship (1 kg * 9 m/s = 9 N).

Finally, we can use Newton's second law to calculate the acceleration experienced by the astronaut:

a = F_net / m = (F_gravity - F_tool) / m = (91 * 9.8 - 9) / 91 = 0.89 m/s^2

To find the time it takes for the astronaut to reach the ship, we use the equation for one-dimensional motion with constant acceleration:

d = v0 * t + 0.5 * a * t^2

where d is the distance to the ship (10 m), v0 is the initial velocity of the astronaut (0 m/s), and t is the time elapsed.

Solving for t, we get:

t = sqrt(2 * d / a) = sqrt(2 * 10 / 0.89) = sqrt(22.47) = 4.74 s

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