Against the park ranger's advice, a visitor at a national park throws a stone horizontally off the edge of a 86 m high cliff and it lands a distance of 89 m from the edge of the cliff, narrowly missing a visitor below.
What was the initial horizontal velocity of the rock, in m/s? You can round your answer to the hundredth place and use g ≈ 10 m/s2.

Answers

Answer 1

The initial horizontal velocity of the rock, in m/s is 21.241 m/s.

What is projectile?

When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.

Time taken by the stone to reach the ground is

t = √2h/g

t = √(2x 86)/9.81

t = 4.19s


The horizontal velocity is

V(x)  = Horizontal distance traveled / Time taken t

Put the values, we get

V(x) = 89 m/4.19 s

V(x) = 21.241 m/s

Thus, the horizontal velocity is 21.241 m/s

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Related Questions

hello,help me with this out please i need it hurry but please ensure your answer is correct..I attach here with my question.
Topic:Forces in equilibrium.

Answers

Answer:

.409 N

Explanation:

For this to balance, the moments around the fulcrum must sum to zero.

On the left you have   .21   ( is that down? I will assume it is)

      Counterclockwise moments :

        .21 * 40     +  1.0 * 20    

     Clockwise moments :

        .5 * 20     +     F * 45

these moments must equal each other

.21*40 + 1 *20   =  .5 * 20 + F * 45

   F = .409 N

Which of these is most likely consequence of failing petroleum prices

Answers

More sales of traditional, large cars are the most likely consequence of falling petroleum prices.

Explanation

Since the majority of conventional, large cars employ combustion engines, these engines need petroleum fuel to operate.

As a result, Choice C—more sales of conventional, large cars—is one of the effects of dropping oil prices that is most likely to occur.

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A transverse wave that has electrical and magnetic properties is known as _________.
a. magnetism
b. loudness
c. electricity
d. electromagnetic energy

Answers

Answer:

D

Explanation:

the answer is D to me

the answer is D to me

Eclipses and Moon Phases Activity Student sample of a modeled eclipse. This lesson highlighted eclipses and lunar phases. If you had to teach another person about the difference between the two events, how would you explain it

Answers

An eclipse is an event in which the sun or moon is blocked from view due to the presence of another celestial body, whereas lunar phases are caused by the reflection of the sunlight.

What is an eclipse?

An eclipse is an astronomical phenomenon where one celestial body (e.g., sun, moon) cannot be observed because another is interposed between the Earth and the first one.

Eclipses can be divided into moon eclipses (we cannot see the moon) and sun eclipses (we cannot see the sun).

On the other hand, moon phases occur due to how sunlight reflects the near side of the Moon.  

Moon phases can be divided into:

New MoonFirst QuarterThird QuarterFull Moon

In conclusion, an eclipse is an event in which the sun or moon is blocked from view due to the presence of another celestial body, whereas lunar phases are caused by the reflection of the sunlight.

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Answer: the other person explained it all

Explanation:

which of the numbers on this figure indicates typical continental conditions (regional metamorphism)?

Answers

The number that indicates typical continental conditions (regional metamorphism) is that showing schist and gneiss rocks.

What is regional metamorphism?

Regional metamorphism occurs when rocks undergoes changes as a result of high temperatures and pressure deep within the earth's crust.

Regional metamorphic rocks are usually foliated or squashed in appearance.

Examples of regional metamorphism rocks are schist and gneiss rocks.

Therefore, the figure that indicates typical continental conditions (regional metamorphism) is that showing schist and gneiss rocks.

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A spring with a force constant of 3x10^3 Nm-1 is used to measure the mass of an object. If the spring extends by 5cm when the object is hung from it, the mass of the object is

Answers

Answer:

15.29 kg

Explanation:

F = k * d                  5cm = .05 m

 = 3 x 10^3  n/m     *   .05 m  = 150 N

                                                =  150 kg -m / s^2

150 kg- m / s^2   / 9.81 m/s^2 =15.29kg

what evidence would you expect to find on the moon if it had been subjected to plate tectonics? (select all that apply.)

Answers

Volcanoes and mountains are the evidences that show plate tectonics.

What evidence would you expect to find on the Moon if the Moon had been subjected to plate tectonics?

The presence of volcanos and mountains are the evidences that provides information that the moon has plate tectonic. If there is no volcanoes and mountains on the moon then we can say that there is no plate tectonic on the moon.

So we can conclude that volcanoes and mountains are the evidences that show plate tectonics.

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When the light bulb is lit, a current is flowing through it. what condition must be met so that a current flows

Answers

Closed loop, conductor medium and presence of current in the wire are the conditions must be met so that a current flows.

What are the basic conditions for the flow of electric current?

The loop from where the current passes must be closed. There must be some current in the circuit in order to lit the bulb. The medium through which current flows should be a conductor.

So we can conclude that closed loop, conductor medium and presence of current in the wire are the conditions must be met so that a current flows.

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The phenomenon of water sticking to a surface, such as a window pane or
plant, is due to the water's____. A. cohesion
B. corrosion
C. obtrusion
D. adhesion

Answers

Answer:

Because of the Cohesion

It might be adhesion or cohesion

Determine the value of n so that the vectors A and B are perpendicular: Ā = î + 5j + nk and B = 2î - j + k

Answers

If [tex]\vec A[/tex] and [tex]\vec B[/tex] are perpendicular, then their dot product is zero. This means

[tex]\vec A \cdot \vec B = (\vec\imath + 5\,\vec\jmath + n\,\vec k) \cdot (2\,\vec\imath - \vec\jmath + \vec k) = 2 - 5 + n = 0[/tex]

Solving for n is trivial; it follows that n = 3.

Describe the mass of the reactants and products given in the balanced chemical equation

Answers

When the chemical response is balanced, the mass of the reactant is equal to the mass of the reactant.

Grounded on the law of Conservation of Mass

We balance the chemical equation since tittles aren't destroyed in the process and the mass is conserved. The mass of the reactant is equal to the mass of the product. No new titles are created or destroyed, there was only rearrangement or regrouping of tittles. This also means the number of titles of rudiments in both the product and reactant is equal.

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What observation method exposes people to frustrations, temptations, pressure, and boredom in a controlled environment, and is used for firearms training in police departments?

Answers

Virtual reality is the observation method that exposes people to frustrations, temptations, pressure, and boredom in a controlled environment, and is used for firearms training in police departments.

What is virtual reality?

Virtual reality is an observation technique that is utilized in police agencies for weapons training. It exposes individuals to frustrations, temptations, pressure, and boredom in a controlled setting.

Police officers' psychophysiological reactions are impacted when participating in virtual reality weapons training exercises.

Electroencephalographic (EEG) and heart rate variability (HRV) measurements, as well as VR simulator performance metrics, are used as outcome measures.

In order to facilitate the design of a biocybernetic adaption layer that generates real-time modulations in simulation difficulty based on specific physiological responses, we propose a psychophysiological model.

Hence, virtual reality is the observation method that exposes people.

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one of the most important features that must be explained by models during the formation of the galaxy is the ____.

Answers

One of the most important features that must be explained by models during the formation of the galaxy is the difference in age and metallicity of stars.

What is Metallicity of stars?

This is defined as the proportion of heavy elements present in a star and they are usually heavier than hydrogen or helium.

These elements and the age of stars have to be put into consideration when discussing the formation of the galaxy.

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draw suitable diagrams where necessary
1. describe an experiment for the measurement of specific heat capacity of a liquid by principle of mixtures

Answers

The experiment is described below in the explanation.

What is specific heat?

The specific heat is the amount of heat required to change the temperature by 1°C. It is denoted by C.

Heat lost or gained is represented as

Q = m C ΔT

In a calorimeter, a liquid is filled into the the cup with a temperature. A rod with high temperature is inserted into that liquid.

We use principle of  mixture by putting a heated rod in a liquid and then measuring the rise of temperature of liquid.

So, heat is lost by rod and gained by liquid and colorimeter.

Thus, experiment is described.

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We see different phases of the Moon on Earth. How are the phases of the Moon proof of
the way we see the Moon?

Answers

Answer:

The Moon itself does not generate light

Explanation:

The Moon itself does not generate light; it is lit up by the Sun. As the Moon orbits the Earth, the portion of illuminated Moon that we see changes – giving rise to the phases of the Moon. Starting at the New Moon phase, the Moon appears to expand in illumination.

and electric motor lifts an elevator a vertical distance of 18.0m in a time of 30.0s by exerting an upward force of 6.0x10^3 N . what power does the electric motor produce?

Answers

Answer:

[tex]\fbox {3.6kW}[/tex]

Explanation:

Formula used :

[tex]\boxed {P = F \times v} \leftarrow \rightarrow \boxed {P = \frac{F \times S}{t}}[/tex]

Given :

⇒ F = 6 × 10³ N

⇒ S = 18 m

⇒ t = 30 s

Solving :

⇒ P = 6 × 10³ × 18 / 30

⇒ P = 2 × 100 × 18

⇒ P = 3600 W

⇒ P = 3.6kW

What type of reaction is being shown in this energy diagram?

A. Endothermic, because the reactants are higher in energy
B. Exothermic, because the products are higher in energy
C. Endothermic, because the products are higher in energy
D. Exothermic, because the reactants are higher in energy

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:Exothermic \:\;Reaction[/tex]

[ because reactants higher in energy ]

____________________________________

[tex] \large \tt Explanation \: : [/tex]

By the given graph, conclusion can be made that reactants have higher energy than products, hence for the reaction to take place, reactants must loose energy to form products. And once the energy is released, that reaction is called Exothermic.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

What is the kinetic energy of a 12 kg ball moving at a speed of 15 m/s?

Answers

Answer:

1350 N

Explanation:

KE = ½mv²

KE = ½(12)(15²)

KE = 1350 N

A 50-kg block is at rest on a 15o slope. A force of 250 N is acting on the block up the slope parallel to it. If the block does not slide up the slope, what is the minimum value of the coefficient of static friction between the block and the slope

Answers

The minimum value of the coefficient of static friction between the block and the slope is 0.53.

Minimum coefficient of static friction

Apply Newton's second law of motion;

F - μFs = 0

μFs = F

where;

μ is coefficient of static frictionFs is frictional forceF is applied force

μ = F/Fs

μ = F/(mgcosθ)

μ = (250)/(50 x 9.8 x cos15)

μ = 0.53

Thus, the minimum value of the coefficient of static friction between the block and the slope is 0.53.

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the magnitude of the electric potintial and of the electrolstatic force depend on which two factors

Answers

answer:

Distance and amount of charge

also:

size, type

Electrostatic force F=k Q q / r^2

It depends on

1. Charge on which force is acting.

2. Charge due to which force is acting

3. Distance between the two charges.

4. Material medium in which the charges are placed (eg air, water, oil etc)

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maitri goel

all white dwarfs have masses in a small range—from about 0.5 to almost 1.4 malchemist sun symbol. why? (select all that apply.)

Answers

A white dwarf cannot support its own weight by its degenerate pressure if its mass is greater than 1.4 solar masses.

What are white dwarfs?

White dwarfs are stellar core remnant composed mostly of electron-degenerate matter.

White dwarf is very dense due to its large mass and smaller volume.

Reasons for comparable mass of white dwarfs and SunStars with main sequence masses less than about 0.5 solar masses cannot ignite the helium fusion required to become white dwarfs.A white dwarf cannot support its own weight by its degenerate pressure if its mass is greater than 1.4 solar masses.

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VR is always greater than MA. why?

Answers

Answer:

The mechanical advantage (M.A) of a real machine is always less than its velocity ratio(V.R) because mechanical advantage decreases due to the friction and weight of moving parts of the machine whereas the velocity ratio remains constant.

What local group of galaxies is the Milky Way part of?


Quasar Cluster


Andromeda Mini-Cluster


Virgo Supercluster


Hubble Open Cluster

Answers

The local group of galaxies which the Milky Way belong to is the Virgo Supercluster. C

What are Virgo Supercluster?

The Virgo Supercluster as known as the Local Supercluster is a mass concentration of galaxies that contains the Virgo Cluster and Local Group which in turn contains the Milky Way and Andromeda galaxies, as a host as others galaxies.

Therefore, the local group of galaxies which the Milky Way belong to is the Virgo Supercluster.

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which statement is a scientific theory
A.most cells are so small that they can be observed only through a microscope
B.the interactions between cells can be predicted with mathematical equations
C.The various functions of different types of cells can be determined by experiments
D.cells are fundamental units of all living organisms

Answers

Most cells are so small that they can be observed only through a microscope is a scientific theory. Option A is correct.

What is a scientific theory?

A well-considered explanation for observations of the natural world that has been developed through the scientific method and that combines numerous facts and hypotheses is known as a theory.

A scientific hypothesis states that most cells are so tiny that a microscope is the only way to see them.

Hence option A is correct.

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help in solving this question please
(question is on the picture )

Answers

Answer:

Jesus

Explanation:

he is the way

kepler’s second law of planetary motion states ""a line from a planet to the sun sweeps over equal areas in equal intervals of ____.""

Answers

Kepler's second law of planetary motion states, 'a line from a planet to the sun sweeps out equal areas in equal intervals of time.'

What are Kepler's laws of planetary motion?

Kepler's three laws of planetary motion include

All planets orbit the sun in elliptical orbits with the sun as the focusA line from a planet to the sun sweeps out equal areas in equal intervals of timeThe square of the period of any planet is directly proprtional to the cube of the semi-major axis of its orbit.

From the second law, we see that, a line from a planet to the sun sweeps out equal areas in equal intervals of time.

So, Kepler's second law of planetary motion states, 'a line from a planet to the sun sweeps out equal areas in equal intervals of time.'

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If a sound increases 5 db, the sound becomes _______ times louder.
a. five
b. ten
c. three
d. fifteen

Answers

Answer:

If a sound increases 5 db, the sound becomes three times louder.

Explanation:

A rocket weighing 300,000 N is taking off from Earth with a total thrust of
460,000 N at an angle of 20 degrees, as shown in the image below. What is
the approximate vertical component of the net force that is moving the rocket
away from Earth?

Answers

Explanation:

vertical force = 460,000 * sin(70) - 300,000

Fv = 187,717.75N

Number 5 and 6 i need just give answer

Answers

Explanation:

voltage = current × resistance

5.

12 V = 4.2 A × resistance

resistance = 12 V / 4.2 A = 2.857142857... Ohm

FYI :

4.2 A would be a lot for a small electronic device like a CD player. that would be 12×4.2 = 50.4 Watt, and the CD player would get really hot.

6.

120 V = current × 12 Ohm

current = 120 V / 12 Ohm = 10 A

The distance between slits on a diffraction grating is 0.60
How large is the path difference?
mm, and one of the angles of diffraction is 0.30°. The
light forms a second-order bright band.
O 1047 nm
• 1571 nm
© 3142 nm
6284 nm

Answers

The path difference is 1.57 × 10⁻⁶ m

Distance is the amount of space between things. From distance, it is the hard to tell if someone's wearing the a vampire costume abd just a chic black outfit.

For constructive interference thai is formation of bright fringe through a diffraction grating is given by:

d sin θ = n λ

here, d is the distance between slits.

θ is the angle of diffraction

n is the order of fringe

and λ is the path difference.

λ = (d sin θ)/ n = (0.60 *10 ⁻³m) (sin 0.30°) ÷ 2 = 1.57 * 10⁻⁶ m

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Answer:

C is the answer

Explanation:

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