A tourist stands at the top of the Grand Canyon, holding a rock, overlooking the valley
below. Find the final velocity, and displacement of the rock after 4.0 seconds give the three
initial conditions listed below.

Answers

Answer 1

Answer:

a. Vf = 39.24 [m/s]

b. Vf = 31.24 [m/s]

c. Vf = 47.24 [m/s]

Explanation:

To solve this problem we can use the following equation of kinematics. We have to keep in mind that the gravitational acceleration acts downwards, therefore when the rock falls towards the abyss it has the same direction of the acceleration and that is why the gravitational acceleration has a positive sign in the equation.

[tex]v_{f}=v_{o}+g*t[/tex]

where:

Vf = final velocity [m/s]

Vo = initial velocity = 0 (when the rock is dropped)

g = gravitational acceleration = 9.81 [m/s²]

t = time = 4 [s]

a.

[tex]v_{f}=0+9.81*4\\v_{f}= 39.24 [m/s][/tex]

b.

In this particular situation, the acceleration will be taken as negative because the gravity is pointing in the opposite direction of the movement of the rock.

[tex]v_{f}=8-(9.81*4)\\v_{f}=-31.24[m/s][/tex]

The negative sign in the answer tells us that the rock no longer moves up instead it does downwards when 4 seconds have passed.

c.

[tex]v_{f}=8+(9.81*4)\\v_{f}=47.24[m/s][/tex]


Related Questions

Hello, please help!
Is methane an element, compound, or mixture?
Is Carbon Dioxde an element, compound, or mixture?

Answers

Answer:

I think carbon dioxide is a mixuture and Methane is a compound

Explanation:

carbon dioxide is a mixup use and methane is a compound ...?

While riding a skateboard, Nina ran into a rough patch of pavement, but she thought she could ride right over it. Instead, the skateboard
stopped but Nina didn't. Her _______ kept her moving forward, so she fell off the skateboard.

Answers

Answer:

ineria

Explanation:

It is due to her inertia of motion that kept her moving forward.

We have Nina who is riding skateboard.

We have to determine why Nina fell off the skateboard on rough pavement.

What is Inertia ?

A property of matter by which it continues in its existing state of rest or uniform motion in a straight line, unless that state is changed by an external force.

According to the question -

Before the rough patch, Nina was riding smoothly. However as soon as she enters the rough patch, the rough patch acts as an obstruction to the forward movement of skateboard. The skateboard and Nina are both moving with same velocity. The skateboard is in contact with the rough patch and as soon as the skateboard's motion is obstructed, the skateboard comes to rest but due to the inertia of motion, Nina continues to move with the same forward velocity. In this way, Nina falls ahead of skateboard.

Hence, it is due to her inertia of motion that kept her moving forward.

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Jimmy runs a chain of souvenir shops in South Florida. He imports T-shirts and other apparel from Guatemala to sell in his stores. One day, student protesters damage several of his stores, demanding that he pay his workers in Guatemala a fair wage. Jimmy estimates the damage at $5,500. He sues the protestors for the damage they cause. Where is the original jurisdiction of this case?

Answers

Answer  he would go to court veto bill

Explanation

that how it works

Density of water is 1000kg/m3. Find out the amount of mass of 5m3 water​

Answers

Answer:

5000 m³

Explanation:

density = mass / volume

mass = density × volume

mass = 1000 × 5

mass = 5000 ( kg )

Using the data table to the right, determine the
identity of a cube of metal that measures 1.2 cm on each
side and has a mass of 18.15 grams.
A. Gold C. Nickel
B. Silver D. Zinc

Answers

Silver sable is in spiderman lol
C I hope it helps I think

HELP ASAP!!!!!!! PLEASE WILL GIVE BRAINLIEST

What is a selectively permeable membrane?????????????

Answers

Answer: The plasma membrane is called a selectively permeable membrane as it permits the movement of only certain molecules in and out of the cells. Not all molecules are free to diffuse. If plasma membrane ruptures or breaks down then molecules of some substances will freely move in and out of the cells. Semipermeable membrane describes a membrane that allows some particles to pass through (by size), whereas the selectively permeable membrane "chooses" what passes through (size is not a factor). Selective permeability is a property of cellular membranes that only allows certain molecules to enter or exit the cell. This is important for the cell to maintain its internal order irrespective of the changes to the environment. For example, water, ions, glucose and carbon dioxide may need to be imported or exported from the cell depending on its metabolic activity. Similarly, signaling molecules may need to enter the cell and proteins may need to be released into the extracellular matrix. The presence of a selectively permeable membrane allows the cell to exercise control over the quantum, timing and rate of movement of these molecules.

Explanation: hope this helps you with your work/assingment! Have a wonderful day/night!

In object moving with a speed of 21M/S and has a kinetic energy of 140j, what is thr mass of the object

Answers

The answer should be 0.63 and then whatever unit the question asks for like kg or g.

Dua titik yang bermuatan listrik yang sama, mula-mula berjarak 5 cm dan saling tarik menarik dengan gaya 225 N. Agar kedua titik muatan tersebut gaya tarik menariknya menjadi 25 N, maka seharusnya jarak kedua titik muatan itu menjadi….

Answers

Answer:

15 cm

Explanation:

Dari pertanyaan yang diberikan di atas, diperoleh data sebagai berikut:

Gaya 1 (F₁) = 225 N

Jarak terpisah 1 (d) = 5 cm

Gaya 2 (F₂) = 25 N

Jarak terpisah 2 (d₂) =?

Kita dapat memperoleh persamaan yang berkaitan dengan gaya dan jarak muatan dua titik dengan menggunakan rumus berikut:

F = Kq₁q₂ / d²

Perbanyak silang

Fd² = Kq₁q₂

Menjaga Kq₁q₂ konstan, kita memiliki:

F₁d₁² = F₂d₂²

Dengan rumus di atas maka diperoleh jarak sebagai berikut:

Gaya 1 (F₁) = 225 N

Jarak terpisah 1 (d) = 5 cm

Gaya 2 (F₂) = 25 N

Jarak terpisah 2 (d₂) =?

F₁d₁² = F₂d₂²

225 × 5² = 25 × d₂²

225 × 25 = 25 × d₂²

5625 = 25 × d₂²

Bagilah kedua sisinya dengan 25

d₂² = 5625/25

d₂² = 225

Hitung akar kuadrat dari kedua sisi

d₂ = √225

d₂ = 15 cm

Oleh karena itu, muatan dua titik harus berjarak 15 cm untuk memiliki gaya tarik 25 N

please help me on the 1st bullet point for brainliest!

Answers

Answer:

thermal energy

Explanation:

7. What force is required to accelerate a 100 kg car to 4 m/s27 F=ma
O A. 25N
B. 104N
C. 400N

Answers

Answer:

is the formula is F=MA so

F=100kg×4m/s=400n

so the answer is 400n

An earthquake sends a seismic wave through the ground. What is the
medium? ANSWER QUICK!

Answers

Answer:

THE GROUND IS THE MEDIUM OF SEISMIC WAVES

write any one advantage and disadvantage of eddy current​

Answers

Explanation:

[tex]advantage[/tex]

It is Sensitivity to surface defects. ...

[tex]disadvantage[/tex]

There is a major heat loss during cycling eddy currents due to friction in the magnetic circuit, especially where the core is saturated

Please mark as brainliest answer

Can a body moving in circular path have constant velocity? Explain.

Answers

Answer:

constant velocity means that both the speed and direction do not change . An object moving in a circular path with constant speed does not have a constant velocity because the direction of the velocity is constantly changing. This implies that an object moving at a constant speed in a circular path is accelerating

can i get a little bit idea about Quantum physics​

Answers

Answer:

What is quantum physics? Put simply, it's the physics that explains how everything works: the best description we have of the nature of the particles that make up matter and the forces with which they interact. Quantum physics underlies how atoms work, and so why chemistry and biology work as they do.

Differentiate between
Length and Time

Answers

Answer:

Concept: Physical Constants

Length is a measure of distance Time is a measure of concept of space.

The difference between Length and Time is: Length is a measure of distance while Time is a quantity or measure of period.

Meaning of  Length and Time

Length can defined as a fundamental quantity that describe the total space occupied by an object from end to end or the distance of an object from end to end.

Time can be defined the duration of an occurrence in space. Time is so important as it helps us adequately know the period of an event or occurrence.

In conclusion, The difference between Length and Time is: Length is a measure of distance while Time is a quantity or measure of period.

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How long will it take a fired shell from a cliff at an initial velocity of 800m/s at an angle 30 degree below the horizontal to reach the ground 150m below

Answers

Answer:

0.373 seconds. First, calculate the initial vertical velocity of the shell. 800sin(30) = 800*0.5 = 400 m/s Now the formula for the distance traveled is d = 400 m/s * T + 0.5A T^2 Substituting known values gives.

Explanation:

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What is the energy transformation of these street lights with solar panels?

Answers

Solar LED street lights rely on the photovoltaic effect, which allows the solar cell to convert sunlight into usable electrical energy.

A 45 kg wagon is being pulled with a rope that makes an angle of 38 degrees with the horizontal. The applied force is 410 N and the coefficient of kinetic friction between the wagon and the ground is 0.18.

Answers

Answer:

7.35m/s²

Explanation:

From the question we are not told what to find but we can as well find the acceleration of the wagon.

According to newton second law of motion

[tex]\sum F_x = ma_x\\Fm - Ff = ma_x\\Fm - \mu R = ma_x\\Fm- \mu mg = ma_x\\[/tex]

Fm is the moving force = 410N

[tex]\mu[/tex] is the coefficient of friction = 0.18

m is the mass = 45kg

g is the acceleration dur to gravity = 9.8m/s²

a is the acceleration of the wagon

Substitute the given data into the equation ang get ax

[tex]Fm- \mu mg = ma_x\\410 - (0.18)(9.8)(45) = 45a_x\\410 - 79.38 = 45a_x\\330.62 = 45a_x\\a_x = 330.62/45\\a_x = 7.35m/s^2\\[/tex]

Hence the acceleration of the wagon is 7.35m/s²

What is the mass of 52N shopping bag?
5.3 kg
5.3 N
509 kg
509 N

Answers

Weight = mass × acceleration due to gravity, so

52 N = m (9.8 m/s²)

m = (52 N) / (9.8 m/s²) ≈ 5.3 kg

Do this work if someone give correct answer I make her brainliest do this worksheet please

Answers

Answer:

a. Any one way then I can say that Aluminum sulfide has mass per mole of ≈150.2g while aluminum has mass per mole of 26.9g

b. Sulfur is an element but aluminum sulfide is a compound

c.Beryllium and chlorine

d. BeCl2

e.i. Metals form ions by losing electrons but nonmetals form ions by gaining electrons

ii.A metal can react with an acid to produce a salt a nonmetal doesnt

iii. A metal forms ionic compounds whilst nonmetals form covalent compounds

A student is eating french fries and needs ketchup. He shakes the ketchup bottle as it is turned upside down but the ketchup won't move. He then smacks the bottle and the ketchup moves. However, the ketchup won't stop moving until he turns the bottle upright. This is an example of ____.​

Answers

Answer:

I'm thinking Newton's first law of motion.

Explanation:

"An object at rest remains at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force."

Please Help
Which two options describles physical properties of matter?
A. a substance's pH
B. a substance's resistance to flow
C. a substance's ability to conduct electricity
D. whether a substance rusts
E. a substance's inability to combine with other substances​

Answers

The correct options that describe the physical properties of matter are "A substance's resistance to flow," and "A substance's ability to conduct electricity." The correct options are B and C.

What is the physical properties of matter?

Physical properties of matter are characteristics that can be observed or measured without changing the substance's identity. These properties can help us identify and classify different substances.

Here in the Question,

Let's consider each option one by one:

A. A substance's pH is a chemical property of matter, which indicates whether a substance is acidic, neutral, or basic. It depends on the substance's chemical composition and the concentration of hydrogen ions in it. Therefore, this option is not a physical property.

B. A substance's resistance to flow is a physical property, also known as viscosity. It refers to how easily a substance can flow or be poured. For example, honey has a high viscosity, while water has a low viscosity. This property depends on the intermolecular forces between the molecules of the substance, which affect how closely they pack together. Therefore, this option is a physical property.

C. A substance's ability to conduct electricity is a physical property that depends on its structure and the presence of charged particles, such as ions or electrons. Substances that can conduct electricity are called conductors, while those that cannot are called insulators. Metals are good conductors of electricity, while plastics are good insulators. Therefore, this option is also a physical property.

D. Whether a substance rusts is a chemical property that indicates how a substance reacts with other substances, specifically with oxygen. Rusting occurs when iron or steel reacts with oxygen in the presence of water, forming a reddish-brown compound called iron oxide. Therefore, this option is not a physical property.

E. A substance's inability to combine with other substances is also a chemical property that depends on the substance's reactivity. Inability to combine with other substances may be due to a substance's stable electronic configuration, such as noble gases. Therefore, this option is also not a physical property.

Therefore, options B and C are true.

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Please help me on this!!

Answers

B or A ima go with B
I would say b or a but b is a more reasonable answer

What is the mass of an object which has a force of 600 N acting on it and is travelling
with an acceleration of 15 m/s2?

Answers

Answer:

The mass of the object is 40 Kg

Explanation:

Net Force

According to the second Newton's law, the net force exerted by an external agent on an object is:

F = m.a

Where:

a = acceleration of the object.

m = mass of the object.

The mass can be calculated by solving for m:

[tex]\displaystyle m=\frac{F}{a}[/tex]

The object has a net force of F=600 N acting on it and travels at [tex]a=15\ m/s^2[/tex], thus the mas is:

[tex]\displaystyle m=\frac{600}{15}[/tex]

m = 40 Kg

The mass of the object is 40 Kg

How far does a car travel in 30.0 s while its velocity is changing from 50.0 km/h to 80.0 km/h at a uniform rate of acceleration?

Answers

Answer:

f

Explanation:

which type of rock do you think will erode more quickly and why

Answers

Sedimentary rocks erode faster. This is because the grains in them are further apart to the grains in igneous rocks. Igneous rocks tend to be harder because of the severe heat and compression they have undergone.
I agree with the answer above very well explained

two points A=(+16) and B=(-4) At electric potential respectively find:

a)which points is at higher potential?

b)what is the pontial difference b/w the two points?

c)the work done in moving acharge of 5C from A to B?​

Answers

Answer:

a. Point A

b. 20 V

c. 100 J

Explanation:

a. Point A is at a higher potential because there is a positive sign in front of its magnitude. Since it is a positive integral value, and has a higher magnitude than point B which is at -4, point A is thus at a higher potential than point B.

b. The potential difference between the two points ΔV = A - B

= +16 V - (-4 V)

= +16 V + 4 V

= + 20 V

c. The work done, W in moving a charge Q across a potential difference ΔV is W = QΔV

So, since Q = 5 C and ΔV = + 20 V  

W = QΔV

= 5 C × (+ 20 V)

= 100 J

400 N pushes on a 25-kg box. Starting from rest, the box achieves
a velocity of 2.0 m/s in a time of 4.0 s. Find the coefficient of kinetic friction between box and
floor.

Answers

Answer:

The kinetic coefficient of friction between box and floor is 0.443.

Explanation:

Let suppose that the box is accelerated uniformly, the acceleration ([tex]a[/tex]), measured in meters per square second, is determined by the following kinematic formula:

[tex]a = \frac{v_{f}-v_{o}}{t}[/tex] (1)

Where:

[tex]v_{o}[/tex], [tex]v_{f}[/tex] - Initial and final speeds of the box, measured in meters per second.

[tex]t[/tex] - Time, measured in seconds.

If we know that [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]v_{f} = 2\,\frac{m}{s}[/tex] and [tex]t = 4\,s[/tex], then the acceleration experimented by the box is:

[tex]a = \frac{2\,\frac{m}{s}-0\,\frac{m}{s} }{4\,s}[/tex]

[tex]a = 0.5\,\frac{m}{s^{2}}[/tex]

Based on the body diagram, we proceed to form the equations of equilibrium:

[tex]\Sigma F_{x} = P\cdot \cos \theta -\mu_{k}\cdot N = m\cdot a[/tex] (1)

[tex]\Sigma F_{y} = N - m\cdot g - P\cdot \sin \theta = 0[/tex] (2)

Where:

[tex]P[/tex] - Magnitude of the force exerted on the box, measured in newtons.

[tex]\theta[/tex] - Direction of the force exerted on the box, measured in sexagesimal degrees.

[tex]\mu_{k}[/tex] - Kinetic coefficient of friction between box and floor, dimensionless.

[tex]N[/tex] - Normal force from the floor to the box, measured in newtons.

[tex]m[/tex] - Mass of the block, measured in kilograms.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

Now we proceed to solve the system of equation for the kinetic coefficient of friction between box and floor:

By (1)

[tex]\mu_{k}\cdot N = P\cdot \cos \theta -m\cdot a[/tex]

[tex]\mu_{k} = \frac{P\cdot \cos \theta - m\cdot a}{N}[/tex]

By (2)

[tex]N = m\cdot g +P\cdot \sin \theta[/tex]

And then, we get the resulting expression:

[tex]\mu_{k} = \frac{P\cdot \cos \theta - m\cdot a}{m\cdot g + P\cdot \sin \theta}[/tex] (3)

If we know that [tex]P = 400\,N[/tex], [tex]\theta = 50^{\circ}[/tex], [tex]m = 25\,kg[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]a = 0.5\,\frac{m}{s^{2}}[/tex], then the kinetic coefficient of friction between box and floor is:

[tex]\mu_{k} = \frac{(400\,N)\cdot \cos 50^{\circ}-(25\,kg)\cdot \left(0.5\,\frac{m}{s^{2}} \right)}{(25\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)+(400\,N)\cdot \sin 50^{\circ}}[/tex]

[tex]\mu_{k} = 0.443[/tex]

The kinetic coefficient of friction between box and floor is 0.443.

The kinetic coefficient of friction between box and floor is 0.443.It is the ratio of friction force and the normal recation force.

What is the friction force?

It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).

Mathematically it is defined as the product of the coefficient of friction and normal reaction.

The given data in the problem is;

F is the force =400 N

m is the mass of box= 25-kg

u is the velocity starting from rest=0

v is the velocity achieved = 2.0 m/s

t is the time = 4.0 s.

[tex]\rm \mu[/tex] is  the coefficient of kinetic friction between box and floor.

The aceleration is found as;

[tex]\rm a= \frac{v_f-v_u}{t} \\\\ \rm a= \frac{2-0}{4} \\\\ \rm a= 0.5 m/sec^2[/tex]

The normal reaction force is find as;

[tex]N= mg +P sin \theta[/tex]

The cofficient of the kinetic coefficient of friction between box and floor;

[tex]\rm \mu_k = \frac{Pcos \theta - ma }{N } \\\\ \rm \mu_k = \frac{Pcos \theta - ma }{ mg +P sin \theta } \\\\ \rm \mu_k = \frac{400 cos 50^0 - 25 \times 0.5 }{ 25 \times 9.81 +400 \times sin 50^0 } \\\\ \rm \mu_k =0.443[/tex]

Hence he kinetic coefficient of friction between box and floor is 0.443.

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A plumb bob is hanging from the ceiling of a car. If the car moves with an acceleration a, what is the angle made by the string with the vertical?

Answers

Answer:

[tex]\theta=\tan^{-1}\dfrac{a}{g}[/tex]

Explanation:

Here we are assuming that the car is moving in a straight line and is traveling on a smooth surface. When the car is moving with acceleration [tex]a[/tex] the bob moves in the opposite direction with the same acceleration. Gravity is acting on the bob so it is experiencing an acceleration of [tex]g[/tex] downwards.

The angle between the acceleration [tex]a[/tex] and the acceleration due to gravity [tex]g[/tex] is

[tex]\theta=\tan^{-1}\dfrac{a}{g}[/tex].

N in-ground swimming pool has the dimensions shown in the drawing. It is filled with water to a uniform depth of 3.00 m. The density of water = 1.00 × 103 kg/m3. What is the total pressure exerted on the bottom of the swimming pool? 1.97 × 105 Pa 2.49 × 105 Pa 2.94 × 104 Pa 1.80 × 105 Pa 1.31 × 105 Pa

Answers

Answer:

The pressure is  [tex]P = 1.31*10^{5} \ Pa[/tex]

Explanation:

From the question we are told that

    The depth of the swimming pool is  [tex]d = 3.00 \ m[/tex]

     The density of water is  [tex]\rho = 1.00*10^{3} \ kg /m^3[/tex]

Generally the  total pressure exerted on the bottom of the swimming pool is mathematically represented as

          [tex]P = P_o + \rho * g * h[/tex]

Here [tex]P_o[/tex] is the atmospheric pressure with value

        [tex]P_o = 101325 \ Pa[/tex]

So

        [tex]P = 101325 + [1000 * 9.8 * 3][/tex]

=>     [tex]P = 130725 \ Pa[/tex]

=>    [tex]P = 1.31*10^{5} \ Pa[/tex]

     

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