If air resistance is negligible, a falling object can be considered

Answers

Answer 1

Answer:

Explanation:

freely falling object


Related Questions

what is the speed in mph if an object is travelling at 750 m/s?

Answers

Answer: The speed of the object in mph is 1680.89 mph

Answer:

1680.89 mph is the speed of an object

Two bar magnets are held in place in the configuration shown. If the magnets are pulled apart, which statement correctly describes the changes that will take place in the energy of the system?

Answers

Potential energy decreases because movement is in the opposite direction of the magnetic field. This is because when magnets are pulled apart, the magnetic field between them is weakened, thus decreasing the potential energy of the system.

What is magnetic field?

A magnetic field is a force field that is created by an electric charge or current. It is a vector field, meaning it has both magnitude and direction. Magnetic fields are generated by electric currents such as those used in electromagnets, and by magnetic materials such as iron. The Earth also generates a magnetic field. Magnetic fields have many uses, including navigation, electric motors, and magnetic storage devices. They are also useful in medical diagnostics and treatments. In addition, they can be used to study the composition of stars and galaxies.

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Explain the relationship between the load on the spring and the length of the spring when the load is increased from 0 to 10N

(I really need an answer plsss)

Answers

Since Hooke's law implies linear, i anticipate that the length of a spring will double if the weight hanging on this is doubled. The graph below depicts a spring's ideal Hooke's law graph.

Simple definition of Hooke's law.

At the range of the material's elastic limit, according to Hooke's law, the strain is inversely related to the applied stress. The molecules and atoms in elastic materials stretch when they are stretched, distort when under stress, and then return to their original shape once the tension is released.

What other names are given to Hooke's law?

In the year 1660, an English british scientist Robert Hooke discovered Hooke's law, commonly known as that of the law of elasticity. According to Hooke's law,  the magnitude of the deformation is precisely proportional to a deforming load or force.

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A sign with a mass of 1000.0 kg is suspended from a wall with a cable that is attached to the wall at a point 3.0 m above a horizontal beam that causes the sign to be a distance of 4.0 m from the wall. See the diagram below.

Answers

Two or more physical objects which are in contact with each other exert forces on each other. Here the tension of the cable is  16349.96 N.

What is tension?

The force along the length of a medium especially a force carried by a flexible medium, such as a rope or cable is defined as the tension. The tension on an object is equal to the product of the mass of the object and the gravitational force added and acceleration.

T = mg + ma

Here W = mg

W = 1000.0 × 9.81 = 9810

using geometry,

tan α = 3/4

α = 36.87°

Tsinα = W

T sin36.87° = 9810

T = 16349.96 N

Thus the tension of the cable is 16349.96 N.

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I need help this is going to be graded tomorrow please help

Answers

The average age of jumpers is approximately 28.

What is meant by average value ?

It is the ratio of sum of all the values to the number of values.

Here,

(1) Difference in age between the oldest and youngest jumpers

                        = 56 - 11 = 45

(2) Difference between greatest and least number of jumps

                       = 60 - 20 = 40

(3) For Bob, Boe and Brad, A(age of jumper) > N( no. of jumps)

(4) No, the eldest two jumpers together did more jumps than the youngest two  jumpers.

(5) 45 - 31 = 16

(6) 31 - 25 = 6

(7) x - y = 19

    From the figure, values of x and y are 50 and 31. So x and y are Brett   and Bev.

(8) 3y = x

    From the figure, the values of x and y are 20 and 60. So x and y are Brad and Benjy.

(9) b = 2a + 6

    From the figure, the values of a and b are 25 and 56. So and b are Brad and Bob.

(10) Average approximately = 28

Hence,

The average age of jumpers is approximately 28.

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As of the time our textbook went to press, 118 different elements had been discovered. All of the ones with atomic number over 92 have been made in physics laboratories. When element 119 (one that has not yet been identified) is found, provided it is like the other artificially made elements, it will:

A

have only protons, no neutrons at all

B

soon be used in industry to make new kinds of plastics

C

have one of the smallest nuclei known

D

only remain stable for an extremely small fraction of a second

E

eventually be found in the Sun (with very high quality spectrometers)

Answers

Answer:

Option D is the most likely answer: element 119 will only remain stable for an extremely small fraction of a second.

This is because all elements with atomic numbers greater than 92 (i.e., the actinides) are unstable and undergo radioactive decay, with their isotopes having extremely short half-lives. As element 119 would have an atomic number greater than 92, it is highly likely that it too would be unstable and undergo radioactive decay, making it difficult to observe and study.

Option A is not possible, as all elements require neutrons in their nuclei to have stable isotopes. Option B is unlikely, as the properties of element 119 are unknown and it would need to be studied extensively before any industrial applications could be developed. Option C is also unlikely, as elements with large atomic numbers tend to have larger nuclei. Option E is also unlikely, as it is not clear how element 119 could be produced in the Sun, given that it is a highly unstable element.

A roller coaster car that has a mass of 200 kg is travelling at a rate of 10 m/s at a
height of 5 m above Earth's surface. How much total energy does the car contain at
this point?

Answers

The roller coaster car contains a total of 19810 joules of energy at this point.

How to calculate the total energy of the roller coaster car.

First, we need to consider its kinetic energy and potential energy.

The potential energy of the car at a height of 5 m above Earth's surface is given by:

PE = m * g * h

Where

m is the mass of the carg is the acceleration due to gravity (9.81 m/s²)h is the height

Substituting the given values, we get:

PE = (200 kg) * (9.81 m/s²) * (5 m)

PE = 9810 J

The kinetic energy of the car is given by:

KE = (1/2) * m * v²

Where v is the velocity of the car.

Substituting the given values, we get:

KE = (1/2) * (200 kg) * (10 m/s)²

KE = 10000 J

Therefore, the total energy of the roller coaster car at this point is:

Total Energy = KE + PE

Total Energy = 10000 J + 9810 J

Total Energy = 19810 J

Therefore, the roller coaster car contains a total of 19810 joules of energy at this point.

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To help lift a television a mover exerts a force of 50 N on a wedge. The wedge applies a
force 480 N to the televsion. What is the mechanical advantage in using this machine?
O 10
O 0.10
O 24,000
O 1.0

Answers

10 is the appropriate number. Here, a machine's mechanical advantage. Hence, choice (a) is the appropriate response. Three mechanical advantages exist: force, distance, and speed.

Although though force mechanical advantage is the sole topic covered in the majority of scientific publications, it is nevertheless crucial.

using the mechanical advantage formula.

[tex]MA= \frac{Fo}{Fi}[/tex]

alternative ≠ 480[tex]N[/tex] and [tex]Fi = 50n,[/tex]

[tex]MA = \frac{480n}{50n}[/tex]

simplify  [tex]MA[/tex]  ≈  10

The load to effort ratio is used to quantify mechanical advantage of a machine. A machine's mechanical advantage determines its efficiency. Mechanical Advantage is equal to Load / Effort, or F 0 F I which means that is the mechanical energy, is the production force, and corresponds to the input force.

An object having mass changes its velocity in response to a push or pull. Force is an exterior agent that has the power to alter the rest or motion of something like a body. It has magnitude and direction.

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a 15000kg locomotive is moving at 12 m/s what is it’s kinetic energy

Answers

Answer:

1080000 J

Explanation:

Givens:

m = 15000 kg

v = 12 m/s

[tex]KE=\frac{1}{2} mv^2\\KE=\frac{1}{2} (15000)(12)^2\\KE=1080000 J[/tex]

How can a hockey puck explain the transfer of kinetic energy? **Select all that apply.**

A. Kinetic energy can move from one item to another.

B. Kinetic energy transfers through air when materials are close.

C.Kinetic energy is lost when it transfers between materials.

D. Energy transfers from materials through touch.

Answers

A hockey puck can transfer kinetic energy by

A. Kinetic energy can move from one item to another.D. Energy transfers from materials through touch.

How a hockey puck can transfer kinetic energy

When a hockey player hits the puck with their stick, they transfer kinetic energy to the puck.

The puck then moves across the ice, and if it collides with another object (such as the boards or another player's stick), some of the kinetic energy from the puck is transferred to that object through touch.

This demonstrates that kinetic energy can move from one item to another and that energy transfers from materials through touch.

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How does the creation of a new mountain range in an ecosystem affect an animal population that becomes divided into two groups by the mountains?
A.
The two new animal populations adapt gradually and separately to their new environments on either side of the mountain.

B.
The two new animal populations are not greatly affected by the separation, and they adapt in the same manner.

C.
The new animal populations gradually migrate up either side of the mountain until they are together again.

D.
The new animal population on one side of the mountain is driven to extinction.

Answers

A. The two new animal populations adapt gradually and separately to their new environments on either side of the mountain. This options explains how does the creation of a new mountain range in an ecosystem affect an animal population.

Explain the role of mountain range in an ecosystem?

When a new mountain range is created, it can act as a barrier that separates animal populations on either side. Over time, the two populations will adapt to their new environments, which may be different due to differences in climate, vegetation, or other factors.

As a result, the two populations may evolve independently of each other, leading to differences in behavior, appearance, and genetic makeup. This process is known as allopatric speciation. It is important to note that while the two populations may become distinct, they may still be able to interbreed if they come into contact again in the future.

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A skydiver fell directly toward Earth at a constant velocity for 15.0 seconds. He fell 807 meters in that time. What was his velocity?

Answers

The velocity of the skydiver that fell directly toward Earth at a constant velocity for 15.0 seconds is 127.38m/s.

How to calculate velocity?

The velocity of a skydiver that fell directly towards Earth can be calculated using one of the following equations of motion:

s = ut - ½at²

Where;

s = distanceu = velocityt = timea = acceleration

According to this question, a skydiver fell directly toward Earth at a constant velocity for 15.0 seconds.

807 = 15u - ½ × 9.81 × 15²

807 + 1103.625 = 15u

1910.625 = 15u

u = 127.38m/s

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Two identical beakers are both half filled with a liquid beaker a contains water and beaker b contains a liquid that is denser than water

Answers

The pressure at the bottom of both beakers is the same. The correct answer is D.

The pressure at the bottom of both beakers is the same. The pressure at the bottom of a fluid is determined by the weight of the fluid above it, which is the same for both beakers since they are equally filled with the same amount of liquid. The air pressure on the beakers does not affect the pressure inside the liquid.

The weight of both liquids cannot be the same, as the density of the liquid in beaker B is greater than that of water, so it will have a greater weight. The area at the bottom of the beakers may be the same or different, but it is not relevant to the pressure at the bottom. Therefore, the correct statement is D, that the pressure at the bottom of both beakers is the same.

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--The complete question is, Two identical beakers are both equally filled with a liquid. Beaker A contains water. Beaker B contains a liquid that is denser than water. Which statement is true?
A. The air pressure on the beaker containing dense liquid is greater.
B. The weight of both liquids is the same.
C. The area at the bottom of both beakers is the same.
D. The pressure at the bottom of both beakers is the same.--

A particle executes simple harmonic motion with an amplitude of 3. 08 cm. At what positive displacement from the midpoint of its motion does its speed equal one half of its maximum speed? Answer in units of cm

Answers

The displacement from the midpoint of the motion at which the speed is equal to half of the maximum speed is 1.85 cm.

v = Aω√(1 - (x/A)^2)

v_max = Aω

v = 1/2 v_max = 1/2 Aω

Substituting the given values, we get:

1/2 Aω = 3.08 cm * ω * √(1 - (x/A)^2)

Simplifying and squaring both sides, we get:

(1/4) A^2 ω^2 = 9.4864 cm^2 * (1 - (x/A)^2)

Solving for x/A, we get:

x/A = √(1 - (1/4)(ω^2/A^2) * 9.4864)

x/A = √(1 - (π^2/400))

x/A = 0.6

The displacement from the midpoint of the motion at which the speed is equal to half of the maximum speed is:

x = 0.6 * 3.08 cm = 1.85 cm

Harmonic motion is a type of periodic motion in which an object oscillates back and forth around an equilibrium position with a constant frequency and amplitude. It is characterized by a sinusoidal pattern, where the displacement of the object from its equilibrium position is directly proportional to the sine or cosine of the time elapsed since the motion began.

In harmonic motion, the restoring force acting on the object is proportional to its displacement from the equilibrium position, and the object's motion is governed by Hooke's Law. Examples of harmonic motion include the motion of a mass-spring system, the motion of a simple pendulum, and the vibration of a guitar string.

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what is 2x10^-3 as second

Answers

Answer: 0.002

Explanation:

Newton's ______ law of motion is also known as action/reaction.

Answers

the second law of newton

1. How does collecting natural gas affect the environment?
2. How does collecting hydropower affect the environment?

Answers

Answer:

1.Collecting natural gas can have negative impacts on the environment in various ways. One of the major concerns is the process of hydraulic fracturing or fracking, which can contaminate groundwater and soil with chemicals and heavy metals used in the process. Methane emissions from natural gas operations can contribute to air pollution and climate change. Additionally, the construction and operation of infrastructure such as pipelines and wells can disrupt ecosystems, fragment habitats, and harm wildlife.

2.Collecting hydropower can also have both positive and negative impacts on the environment. On the positive side, hydropower generation does not emit greenhouse gases and can help reduce the use of fossil fuels. However, the construction of dams can significantly alter natural waterways, disrupt river ecosystems, and cause the displacement of people and wildlife. Dams can also interfere with fish migration patterns and reduce the availability of freshwater downstream, affecting agriculture and drinking water supplies. Additionally, the management of water levels and flows can lead to changes in water temperature, dissolved oxygen levels, and sediment transport, which can further impact aquatic habitats and species.

Explanation:

hope it help pa brainliest

A dog jumps off the 10 m stairs down onto his doggy house which is 4 m high.
What is the change in gravitational potential energy of this 3 kg dog?

Answers

The change in gravitational potential energy of the dog is -176.58 J.

How to find the gravitational potential energy of the dog

The change in gravitational potential energy of an object is given by:

ΔPE = mgh

where

ΔPE is the change in gravitational potential energy

m is the mass of the object

g is the acceleration due to gravity, and

h is the change in height.

In this case, the dog jumps off a 10 m staircase down to his doggy house which is 4 m high. So the change in height,

h = -6 m (negative because the dog is moving downwards).

g = 9.81 m/s^2

m = 3 kg.

Substituting these values into the equation above, we get:

ΔPE = mgh

ΔPE = (3 kg)(9.81 m/s^2)(-6 m)

ΔPE = -176.58 J

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Un objeto pequeño que tiene una carga dd -5x10^-9C experimenta una fuerza hacia debajo de 20x10^-9 N cuando se coloca en determinado punto un campo electrico ¿cual es el campo de dicho punto?

Answers

El signo negativo indica que el campo eléctrico apunta en la dirección opuesta a la fuerza experimentada por la carga. Por lo tanto, el campo eléctrico en ese punto es de -4 N/C.

F = qE

En este caso, la carga es de -5x10^-9 C y la fuerza es de 20x10^-9 N. Por lo tanto, podemos despejar el valor del campo eléctrico:

E = F/q = (20x10^-9 N) / (-5x10^-9 C) = -4 N/C

A charge is a fundamental property of matter that describes the amount of electric energy that a particle possesses. It is a scalar quantity, meaning it has only magnitude and no direction. The charge can be either positive or negative and is measured in Coulombs (C).

Charged particles can interact with each other through electromagnetic force, which is one of the four fundamental forces of nature. Like charges repel each other while opposite charges attract. Electric fields are generated by charged particles, and the force they exert on other charged particles is proportional to the magnitude of their charges.

A charge is conserved in isolated systems, meaning that the total amount of charge in a closed system cannot be created or destroyed, but can only be transferred from one object to another.

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Question 10 of 25
You replace a 200 W lamp with a more efficient 55 W LED lamp. If you leave
your lights on 24 hours a day, how much energy are you saving each day by
replacing this bulb?
A. 4,752,000 J
OB. 17,280,000 J
C. 12,528,000 J
O D. 21,225,000 J
SUBMIT

Answers

The energy used by the 200 W lamp for 24 hours is 17280000 J whereas, the energy used by the 55 W lamp for one day is 4752000. Therefore, by replacing the200 W lamp by 55 W, we save 12,528,000 J of energy.

What is power ?

Power is the unit of energy or work done by an object. It measures how much energy used by the object per second to do a work. Hence, power is the work done or energy by time in seconds.

Given that power of one lamp = 200 W

time = 24 hour= 86400 s.

then energy = power × time

  200 W × 86400 s = 17280000 J

Similarly the energy consumed by the 55 W lamp for 24 hours is:

86400 s × 55 W = 4752000J

Then, if replace the 200 W lamp by the 55 W LED lamp, we can save an energy of 17280000 J - 4752000 J = 12,528,000 J.

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PLEEEEEEASE answer as fast as possible, I will give Brainliest to fastest answer.
A sound wave is traveling through a medium. Which statement best describes a situation that will cause the wave speed to increase?

A. Increase the pressure of the substance and the particles will be farther apart.
B. Increase the volume of the medium and there will be more particles to transfer the wave.
C. Increase the size of the particles and they will have more momentum to carry the wave.
D. Increase the density of the substance and there will be more particles to transfer the wave.

Answers

Answer: D. Increase the density of the substance and there will be more particles to transfer the wave.

Answer:

D. INCREASE THE DENSITY OF THE SUBSTANCE AND THERE WILL BE MORE PARTICLES TO TRANSFER THE WAVE .

Explanation:

BECAUSE WAVES ARE TRANSFERED

What is the electric potential at the point indicated with the dot in the figure?

Express your answer to two significant figures and include the appropriate units

Answers

The electric potential at a point in space depends on the distance between that point and any charged objects in the vicinity.

If we assume that the point indicated by the dot in the figure is located at a distance r from a charged object with charge q, then the electric potential at that point can be calculated using the formula: V = k * q / r, where k is Coulomb's constant (8.99 x 10^9 N m²/C²). The units of electric potential are volts (V). To express the answer to two significant figures, we would need to know the values of q, r, and any other relevant parameters in the problem.

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Can i get help please

Answers

I believe its A. Tuberculosis

name five example of derived qualities​

Answers

Answer:

velocity, power, energy, force and density

Explanation:

The force of gravity between two masses was 14 N when they were 10. m apart. The distance between them was changed and the force became 56 N. How far apart were they then?

Answers

They were 40 m. apart

2
Which statement about the relationship between an organism's traits and its genes is true?
A.
An organism's genes are a direct result of its inherited traits.
B. Traits code for the proteins that determine an organism's genes.
C.
Genes code for proteins that determine an organism's traits.
D. Genes code for the DNA that determines an organism's traits.

Answers

TO be completely Honest with this, Based of reading the questions and answers it may be D. just off sheer legibility of logic alone, Hope this is not wrong.

A wooden 40.0 N block is placed on a table. A force of 18.0 N is required to keep the block moving at a constant velocity what is the calculated force on the block

Answers

The coefficient of sliding friction is 0.45.

What is meant by friction ?

Friction is defined as a resistive force acting between two surfaces that are in contact and are in relative motion.

Here,

Weight of the force, mg = 40

Kinetic friction, F' = 18 N

F' = μ N

So, coefficient of sliding friction, μ = F'/N

  μ  = 18/40

  μ = 0.45

Hence,

The coefficient of sliding friction is 0.45.

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Your question was incomplete, but most probably your question was,

A wooden 40.0 N block is placed on a table. A force of 18.0 N is required to keep the block moving at a constant velocity what is the coefficient of sliding friction between the table and the block.

You have a ball with mass 2.5 kg tied to a rope, and you spin it in a circle of radius
1.2 m. You know that the rope can withstand a tension of 130 N before it breaks.
How fast can you safely spin the ball without the rope breaking?

Answers

Answer:

Approximately [tex]7.2\; {\rm m\cdot s^{-1}}[/tex] (rounded up), assuming that this circle is vertical and [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].

Explanation:

Let [tex]v[/tex] denote the tangential speed of the ball, and let [tex]r[/tex] denote the radius of the circle. Since the ball is in a circular motion, the acceleration on this ball would be equal to the centripetal acceleration [tex]a = (v^{2} / r)[/tex]. The net force on this ball would be [tex]F_{\text{net}} = m\, a = (m\, v^{2} / r)[/tex].

The net force on this ball is also the vector sum of the tension [tex]T[/tex] in the rope and the weight of the ball [tex]m\, g[/tex]:

[tex]F_{\text{net}} = (\text{weight}) + T[/tex].

[tex]T = F_{\text{net}} - (\text{weight})[/tex].

Note that:

[tex]\| T \| = \|F_{\text{net}} - (\text{weight})\| \le \|F_{\text{net}} \| + \| (\text{weight})\|[/tex].

In other words, the magnitude of tension [tex]T[/tex] is at most equal to [tex]\|F_{\text{net}} \| + \| (\text{weight})\| = (m\, v^{2} / r) + (m\, g)[/tex], which happens when weight and net force are in opposite directions.

When the speed of the ball is maximized, the magnitude of tension [tex]T[/tex] would be at the largest possible value of [tex]130\; {\rm N}[/tex]. Rearrange the equation and solve for speed [tex]v[/tex]:

[tex]\displaystyle \frac{m\, v^{2}}{r} + m\, g = \|T\|[/tex].

[tex]\begin{aligned}v^{2} = \frac{r}{m}\, (\|T \| - m\, g) = \frac{r\, \|T\|}{m} - r\, g\end{aligned}[/tex].

[tex]\begin{aligned}v &= \sqrt{\frac{r\, \|T\|}{m} - r\, g} \\ &= \sqrt{\frac{(1.2)\, (130)}{2.5} - (1.2)\, (9.81)}\; {\rm m\cdot s^{-1}} \\ &\approx 7.2\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

1. A child rides a bicycle in a circular path with a radius of 3.2 m. The tangential speed of the
bicycle is 2.7 m/s. The combined mass of the bicycle and the child is 54 kg.
What is the magnitude of the bicycle's centripetal acceleration? What is the magnitude of the
centripetal force on the bicycle?

Answers

The magnitude of the bicycle's centripetal acceleration can be calculated using the formula:

a = v^2 / r

where v is the tangential speed and r is the radius of the circular path. Plugging in the given values, we get:

a = (2.7 m/s)^2 / 3.2 m

a = 2.27 m/s^2

The magnitude of the centripetal force on the bicycle can be calculated using the formula:

F = m * a

where m is the combined mass of the bicycle and the child. Plugging in the given values, we get:

F = 54 kg * 2.27 m/s^2

F = 122.58 N

Therefore, the magnitude of the bicycle's centripetal acceleration is 2.27 m/s^2, and the magnitude of the centripetal force on the bicycle is 122.58 N.

Answer:

[tex]\huge\boxed{\sf F_c=123.02 \ N}[/tex]

[tex]\huge\boxed{\sf a_c=2.28 \ m/s^2}[/tex]

Explanation:

Given data:

Mass = m = 54 kg

Tangential speed = v = 2.7 m/s

Radius = r = 3.2 m

Required:

Centripetal force = [tex]F_c[/tex] = ?

Centripetal acceleration = [tex]a_c[/tex] = ?

Formula:

[tex]\displaystyle F_c=\frac{mv^2}{r}[/tex]

[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]

Centripetal acceleration:

Put the given data in the above formula.

[tex]\displaystyle a_c=\frac{(2.7)^2}{3.2} \\\\a_c=\frac{7.29}{3.2} \\\\a_c=2.28 \ m/s^2\\\\[/tex]

Centripetal force:

Put the given data in the above formula.

[tex]\displaystyle F_c=\frac{(54)(2.7)^2}{3.2} \\\\F_c=\frac{(54)(7.29)}{3.2} \\\\F_c=\frac{393.66}{3.2} \\\\F_c=123.02 \ N\\\\\rule[225]{225}{2}[/tex]

a sound wave strikes a wall normally what is the angle of reflection of sound wave
a 90°
b 60°
c 45°
d 0°​

Answers

Answer:

C

Explanation:

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4. Look at the map, think about where a city's resources come from, and thenexplain why Ur and Lagash would be more likely to fight over resources than Susa and Mari. Write your answer on the blank lines below. Consumers perspective on inflation HELPPPPP MEEEEEE LATE HOMEWORKKKK A water faucet leaks 35 of a liter of water in 34 of an hour. Which TWO statements are correct for this situation? Who would elect the Senators? please answer the image You go to the park on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 30with the ground. How high is the kite in the air? Please show steps to get answerConsider the cash flow series in Table 5-1.Table 5-1. Cash Flow Series for Problem 5-1 YearCash [$]0-2001( a) At an interst rate of 0.12 compunded annually, what is the equivalent annual worth of the series over the five year?Answer: $9.68( a) At an interst rate of 0.12 compunded monthly, what is the equivalent annual worth of the series over the five year?Answer: $8.29. A project will incur net costs in Year 1 of $1,000. From Year 2 to Year 10, net costs are expected to increase by $200 per year. In Year 11, the project will turn a profit and produce a net revenue of $2,000, For Year 12 to Year 20, the net revenue is expected to increase by $250 per year. Assuming MARR = 8% (per year), calculate the equivalent annual worth of the project over the 20-year period.Answer: -$273.09Note: You should be able to do this problem "the long way" and with using gradient formulas.. A transit bus will cost $500,000 and have annual operating costs of $75,000 for 10 years. After 10 years, the expected salvage value is $50,000. At an interest rate of 4%, what is the equivalent annual cost over the 10-yeare period?Answer: $132,481Your company is considering purchasing a contract for managing its data and communication system. The contract requires a $10,000 initiation fee (at time 0) and have annual costs that begin (in year 1) at $5,000 and increase by $500 per year. What is the equivalent annual cost over a 5-year period assuming an MARR of 8%?Answer: $8,428. (This problem is taken from Park, Problem 6.32, with slight edits.) An electric automobile has a purchase price of $30,000. The automobile is estimated to have a life of 10 years and to be used for 20,000 miles per year. Every three years, a new set of batteries will have to be purchased at a cost of $4,000. (The $4,000 cost of the batteries is a net value with the old batteries traded in for the new ones.) Annual maintenance of the vehicle is estimated to cost $1,000. The cost of recharging the batteries is estimated at $0.015 per mile. The salvage value of the batteries and the vehicle at the end of 10 years is estimated to be $3,000. Assuming an MARR of 7%, what is the cost per mile to own and operate this vehicle based on these estimates?Answer: $0.33/mileConsider the cash flows depicted in Table 5-6 relating to two machines. (The positive values in years 1-5 represent savings from the machines. The negative values in year 0 represent the initial costs of the machines.) Assume that the machines will be used 2,000 hours per year. What are the equivalent annual net savings per hour associated with each machine, assuming an interest rate of 10%? Which machine should be chosen? Some scientists are concerned that the human population has outgrown the carrying capacity of many of Earths ecosystems? Which will most likely becoming a limiting factor in human populations?A. the food supplyB.lack of formal educationC. competition for matesD. decreasing amount of oxygen please help me with these problems HELP PLEASE AND THANK YOU Louise has 3 and 3/4 feet of green yarn and 2/4 yards of white yarn to make an art project. How many more feet of green yarn than white yarn does Louise have? ASAP PLS Mary is unmarried with no dependents. She had 2021 taxable income of $45,000 which included $16,000 of 0%/15%/20% net long-term capital gain. What is her tax on taxable income using the alternative tax on net long-term capital gain method? What do you understand by economies of scope? Whatproperty/properties should a cost function satisfy in order for thefirm to experience economies of scope? b) what happens to the kinetic energy of the moleculas of a substance when it is cooled? A bank has to be guarded 24 hours a day. 9 guards are ordered to split each days guard duty equally. How long will each guard spend on guard duty in one day? equals zero, which expression is equ (25-4x^(2))/(6x^(2)+9x-15)*(6x^(2)-2x-4)/(2x^(2)-x-10) Analyze Data Based on the information in thecharts, which segment of the economy waspoised, in the 1940s, for massive growth? Sketch the figure in the side length of an equilateral triangle is 5 centimeters In 1915 The Birth of a Nation achieved fame as a _____.Select the best answer from the choices provided. A. poem about Negro Zionism and a new Africa B. novel about African Americans in the free African nation of Liberia C. racist film about the Ku Klux Klan D. scholarly history about the Ku Klux Klan