A stone is thrown horizontally from the top of a 25.00-m cliff. The stone lands at a distance of
40.00 m from the edge of the cliff. What is the initial horizontal velocity of the stone?

Answers

Answer 1
The time taken to fall t
s= 1/2 g t^2
25 = 1/2 x 9.8 x t^2
t^2= 5.1
t= 2.26 s

Horizontal velocity = 40/2.26 = 17.6 m/s
Answer 2

The projectiles launch allows to find the answer for the initial velocity of the stone is:

            v = 17.71 m / s

Projectile launching is an application of kinematics for motion in two dimensions, where there is no acceleration on the x axis and the acceleration on the y axis is the gravity acceleration.

In the attached diagram we can see a corner of the movement. Where the x axis is horizontal and the y axis is vertical, where the zero of the system is at the base of the cliff

In this case the stone is thrown horizontally, therefore its initial vertical speed is zero, let's find the time it takes to reach the base of the cliff

           y = y₀ + [tex]v_{oy}[/tex] t - ½ g t²

where y and y₀ are the current and initial position, [tex]v_{oy}[/tex] is the initial vertical velocity, g the acceleration of gravity and t the time

When reaching the bottom its height is zero (y = 0) and the highest part its initial height is y₀ = 25.00 m

           0 =y₀ + 0 - ½ g t²

          t = [tex]\sqrt{\frac{2y_o}{g} }[/tex]

Let'se calculate

           [tex]t = \sqrt{ \frac{2 \ 2.25 }{9.8 } }[/tex]

           t = 2,259 s

They indicate that the stone fell at a horizontal distance of 40 m,

           x = [tex]v_{ox}[/tex] t

            v_{ox} = [tex]\frac{x}{t}[/tex]

           v_{ox}  = [tex]\frac{40}{2.259}[/tex]

           v_{ox} = 17.71 m / s

In conclusion, using theprojectiles launch we can find the answer for the initial velocity of the stone is:

            v = 17.71 m / s

Learn more here:   brainly.com/question/12792922

A Stone Is Thrown Horizontally From The Top Of A 25.00-m Cliff. The Stone Lands At A Distance Of40.00

Related Questions

If the hydrogen peroxide is heated to 60°C first, the catalase doesn't
work. why?

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Answer:

The ideal temperature of catalase activity is 66.6 degrees Celsius, so a temperature between 60 degrees and 70 degrees should most likely release the most oxygen during the reaction.

Explanation:

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What can all waves travel through? ​

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Answer:

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Explanation:

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Answer:

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Explanation:

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A roller coaster, traveling with an initial speed of 15 meters per second, decelerates uniformly at 7.0 m/s/s to a full stop. Approximately how far does the roller coaster travel during its deceleration?

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Please help 25 points Add the following numbers and round your answer to the correct number of significant figures:

90.0 + 80 =

Show both the unrounded and rounded answer.

Answers

Explanation:

Wouldn't this just be 90+80 meaning the answer would be 170?

90.0 + 80 = 170.0 however the number 80 could be just 1 significant figure, in which case the final answer is 200 to 1 significant figure.

The nucleus of an atom is
charged.
Positively
Liquid
Variably
Negatively

Answers

Liquid hope this helps

Look at the graph. During what interval is the object decelerating?
A) 0-1s
B)5-20s
C) 20-4
D)40-50s

Answers

Answer:

D

Explanation:

because the slope decreases

Answer:

Should be D the correct answer

Explanation:

Start
Finish
8 min
Time
0 min
1 min
2 min
3 min
4 min
5 min
6 min
7 min
Temperature
90°C
83°C
78°C
73°C
68°C
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hos

Answers

What is the actuall question?

What should be done in order to decrease the gravitational force between two objects?
O Decrease the distance between the two objects.
O Increase the mass of one of the objects.
O Increase the mass of both of the objects.
O Increase the distance between the two objects.

Answers

Answer:

Decrease the distance between the two objects

Increase the distance between the two objects  to decrease the gravitational force between two objects.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.

f = Gmm/r²

Increase the distance between the two objects  to decrease the gravitational force between two objects.

To learn more about force refer to the link:

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Which of the following shapes is most similar to Earth's orbit?
A. Shape A
B. Shape B
C. Shape C
D. Shape D

Answers

The right option must be option (B).

Since the orbit of the earth is only 3% oblate, it is closer to a circle.

Kepler's Laws:

According to Kepler's laws of planetary motion:

The planets each travel along an ellipse with the sun at one focus.The line joining the sun and the planets sweep out equal areas in equal time intervals.The square of the period of the revolution of the planets equals the cube of the planet's mean distance from the sun.

So according to Kepler's law, it would seem that the answer must be option A. And it can be the right choice generally.

But the orbit of earth is only 3% oblate, which means it is only 3% an ellipse, so the orbit of the earth is closer to a circle. So the right option must be option B.

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Answer:

Shape B

Explanation:

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Answers

Answer:

Explanation:

light gets energy from the battery,

battery gets energy from the generator

flywheel gets energy from the crank

A 20-kg child sits on a horse affixed to a carousel, which is located a distance of 2.3 meters from the
carousel's axis of rotation. The child makes 4 complete trips around the carousel in one minute.
A. What total distance does the child travel?
B. What is the period of the carousel?
C. What is the carousel's frequency?
D. What is the child's tangential velocity?
E. What is the child's centripetal acceleration?
F. What is the net centripetal force on the child?

Answers

Answer:

A) D = 57.8

B) 900 sec

C) 1.11 x 10^-3 HZ

D) V= 0.016m/s

E) 1.12x10^-4m/s

F) 2.24 x 10^-3 N

A 1.5 kg rightward moving air glider decreases its speed from 1.872 meters per second to 1.798 meters per second over the length of 1 M long track. Determine the net force acting upon the air glider

Answers

Answer:

The magnitude of the net force is 0.204 N.

Explanation:

The net force acting upon the air glider is:

[tex] F = ma [/tex]

Where:

m: is the mass of the air glider = 1.5 kg

a: is the acceleration

First, we need to find the acceleration. Since we have the initial and final speed we can calculate the acceleration as follows:

[tex] v_{f}^{2} = v_{0}^{2} + 2ad [/tex]

Where:

[tex]v_{f}[/tex]: is the final speed = 1.798 m/s

[tex]v_{0}[/tex]: is the initial speed = 1.872 m/s

d: is the distance = 1 m

The acceleration is:

[tex] a = \frac{v_{f}^{2} - v_{0}^{2}}{2d} = \frac{(1.798 m/s)^{2} - (1.872)^{2}}{2d} = -0.136 m/s^{2} [/tex]            

The minus sing is because the air glider is desaccelerating.

Now, the magnitude of the net force is:

[tex] |F| = ma = 1.5 kg*0.136 m/s^{2} = 0.204 N [/tex]

Therefore, the magnitude of the net force is 0.204 N.

I hope it helps you!

While driving his pickup truck, Joe stops at a red light. When the light turns green, Joe steps on the gas
and accelerates to 16 m/s in 4 seconds. What is Joe's acceleration?

Answers

Answer:  Acceleration = 4 m/s^2

================================================

Work Shown:

The values we're working with are

[tex]v_i = 0 = \text{ initial velocity}\\\\v_f = 16 = \text{ final velocity}\\\\t = 4 = \text{ change in time}\\\\a = \text{ unknown } = \text{ acceleration}\\\\[/tex]

We'll plug those into the kinematics formula below to solve for 'a'

[tex]v_f = v_i + a*t\\\\16 = 0 + a*4\\\\16 = 4a\\\\4a = 16\\\\a = \frac{16}{4}\\\\a = 4\\\\[/tex]

Joe's acceleration is 4 m/s^2

This means that every second, Joe's velocity is increasing by 4 m/s.

---------------------------

To check our answer, we can see that

Time 0 = Velocity 0

Time 1 = Velocity 4

Time 2 = Velocity 8

Time 3 = Velocity 12

Time 4 = Velocity 16

This confirms our answer.

Would ocean water cause our cells to swell with more or to shrivel ?

Answers

Answer:  The cell shrinks

Explanation:   Seawater is hypertonic. If you place an animal or a plant cell in a hypertonic solution, the cell shrinks, because it loses water ( water moves from a higher concentration inside the cell to a lower concentration outside ). So if you get thirsty at the beach drinking seawater makes you even more dehydrated.

a robotic vacuum is at rest at its charging station. it leaves to clean the house accelerating to 0.3.meters per second in 0.8 seconds. whats is the magnitude of the vacuums acceleration

Answers

Answer:

Acceleration, a = 0.375 m/s²

Explanation:

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

[tex]a = \frac{v - u}{t}[/tex]

Where,

a is acceleration measured in [tex]ms^{-2}[/tex]v and u is final and initial velocity respectively, measured in [tex]ms^{-1}[/tex]t is time measured in seconds.

Given the following data;

Initial velocity, u = 0m/s

Final velocity, v = 0.3m/s

Time, t = 0.8secs

Substituting into the equation, we have;

[tex]a = \frac{0.3 - 0}{0.8}[/tex]

[tex]a = \frac{0.3}{0.8}[/tex]

Acceleration, a = 0.375 m/s²

Therefore, the the magnitude of the vacuum's acceleration is 0.375 m/s²


What is the mass of a Frisbee that is traveling at 20 m/s and has a kinetic energy of 150 J? Show your work and
use significant figures.

Answers

Answer:

Mass, M = 0.75kg

Explanation:

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

[tex] K.E = \frac{1}{2}MV^{2}[/tex]

Where, K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

Given the following data;

Kinetic energy = 150J

Velocity = 20m/s

Making mass the subject formula;

[tex] M = \frac{2K.E}{V^{2}}[/tex]

Substituting into the equation, we have;

[tex] M = \frac{2*150}{20^{2}}[/tex]

[tex] M = \frac{300}{400}[/tex]

Mass, M = 0.75kg

A runner begins running from rest (0 m/s) with an acceleration of 2 m/s? What is the
speed of the runner 5 seconds later?

Answers

Answer:

10

Explanation:

U=0

V=?

a=2

times=5

a=(v-u)÷t

2=(x-0)÷5

10=x-0

10ms^-1=x

Answer:

10 m/s

Explanation:

Multiply 2 m/s by 5.

1 second: 2 m/s

2 seconds: 4 m/s

3 seconds: 6 m/s

4 seconds: 8 m/s

5 seconds: 10 m/s

This can also be solved by y=mx+b, where y is speed, m is the m/s, so 2, x is time, we want to find what y equals when x=5, and b is starting speed, which is 0 m/s, since the runner is starting from a rest.

In short, this is:

x=5

y=2x

y=2(5)

y=10

whats a neutralizer answer

Answers

Answer:

a neutralization reaction is when a action in a base react to form water and salt it also

neutralization is where and where are the acid reacts with a nuclear to form a netural soution of a salt and water

Explanation:

it involves the combination of H plus ions oh- to generate water it means when a solution is neutralized it means that salts are formed from equal weights of acid and base please mark this brainiest please

Answer:

divide 2 by 2

Explanation:

A sprinter is running toward the finish line at 7 m/s. When he is 12 m away from the finish line, he begins to fatigue and slows at a rate of -0.6 m/s^2 . How fast is he running when he crosses the goal line? *Round your answer to the nearest hundredth.

Answers

Answer:

5.88 m/s

Explanation:

The following data were obtained from the question:

Initial velocity (u) = 7 m/s

Acceleration (a) = –0.6 m/s²

Distance (s) = 12 m

Final velocity (v) =.?

We, can determine how fast the sprinter is running when he crosses the goal line as follow:

v² = u² + 2as

v² = 7² + (2 × –0.6 × 12)

v² = 49 + (–14.4)

v² = 49 – 14.4

v² = 34.6

Take the square root of both side

v = √34.6

v = 5.88 m/s

Therefore, the sprinter is running at a speed of 5.88 m/s when he crosses the goal line.

Air pressure decreases as elevation increases. Describe how the boiling point of
water on top of a mountain would be different from its boiling point at sea level.

Answers

Answer:

The boiling point on top of a mountain would be lower than at sea level because the altitude would be higher and air pressure would decrease.

As the height increases, because most of the air molecules are held near to the surface and hence pressure by gaseous substance will be lower at higher altitudes results in lowering boiling point also.

What is boiling point?

Boiling point of a substance is the temperature at which the substance changes from the liquid state to vapor state where both  phases are in equilibrium and the pressure of vapor phase above the liquid phase will be equal to the atmospheric pressure.

The boiling point is dependent on the bond type, molecular weight, temperature and pressure. At higher altitudes, the pressure will be reduced due to the less denser air.

The volume of gas molecules is higher on elevation and thus, a decreased pressure causes, the water molecules easily boil with weekend intermolecular force thus, boiling point at mountain will be less than that at sea level.

To find more on boiling point, refer here:

https://brainly.com/question/2153588

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What are transparent strands that are used for communication called?

beams

holograms

lasers

fiber optics

Answers

The answer is lasers

Answer:

fiber optics props

Explanation:

A rock dropped straight down reaches a final velocity of 17.07 m/s, how far down did the rock fall?
(Can someone plz help me out and if possible give the solution on how to solve it)

Answers

Answer:

fell DOWN 14.87m

Explanation:

vf^2=vi^2+2adeltax

[(17.07 m/s)^2-(0)^2]/[2*(-9.8 m/s2)]= deltax

x=-14.87 m

fell DOWN 14.87m


Help!
A ball is +8 m from the origin and moves -13 m. What is the ball's final position?
A. 21 m
B.-21 m
C. 55 m
D. -5 m

Answers

Answer: D. -5

It is -5 because you subtract 13 from 8 to get to the answer.

Answer:

d -5 m

Explanation:

bc 8 subtract by 13 = 5

3. A 100 kg crate is sliding at a rate of 30.0 m/s, when a force of 250 N is applied opposite the
direction of motion, in addition to the friction, until the crate stops 5.0 s later. What is the
coefficient of kinetic friction between the crate and the floor?

Answers

Take the direction of motion to be the positive direction. The crate slows to a rest from 30.0 m/s in a matter of 5.0 s, so it has acceleration a such that

0 = 30.0 m/s + a (5.0 s)   →   a = -6.0 m/s²

At the moment its speed is 0, the crate has a net force of s + f acting in negative direction, where s and f denote the magnitudes of the stopping force (s = 250 N) and the friction force, respectively. By Newton's second law, we have

(-s) + (-f) = (100 kg) (-6.0 m/s²)

250 N + f = 600 N

f = 350 N

The friction force is proportional to the normal force by a factor of µ, the coefficient of kinetic friction. There is no movement in the up- and downward directions, so Newton's second law says

(-w) + n = 0

where w is the weight of the crate and n is the magnitude of the normal force. So

n = w = (100 kg) (9.80 m/s²) = 980 N

Then

f = µ n

350 N = µ (980 N)

µ = (350 N) / (980 N) ≈ 0.357

A student throws a ball horizontally at the rate of 40 m/s. If the height from which the ball is thrown is 2 m, how far will the ball travel before it touches the ground? 16.33 m 16.33 m 25.56 m 25.56 m 28.29 m 28.29 m 19.54 m

Answers

Answer:

25.56 m

Explanation:

For vertical movement , initial velocity u = 0

Displacement  h = 2 m

time taken = t

h = ut + 1/2 gt²

2 = .5 x 9.8 x t²

t² = .4081

t = .639 s

During this period , the ball will move in horizontal direction uniformly with velocity 40 m /s .

horizontal displacement = horizontal velocity x time

= 40 x .639 = 25.56 m

Calculate the acceleration due to gravity on the planet where an 80kg astronaut weighs only 304N.

Answers

Answer:

m=w/g

80kg=304/g

g=3.8 m/s^2

Explanation:

What would happen if your body id exposed to the vaccum of space?

Answers

Answer:

Acute exposure to the vacuum of space: No, you won't freeze (or explode) ... Upon sudden decompression in vacuum, expansion of air in a person's lungs is likely to cause lung rupture and death unless that air is immediately exhaled.

Explanation:

a coin is released into the air what force acts on it when it reaches its highest point

Answers

Answer:

Gravity

Explanation:

After it reaches it's highest point, it falls back down because of gravity.

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