The length of nylon rope from which a mountain climber is suspended has a force constant of 1.15 ✕ 10^4 N/m. What is the frequency at which he bounces, given his mass plus equipment to be 75 kg?

Answers

Answer 1

The frequency at which the mountain climber bounces is 1.60 Hz.

To find the frequency, we will use the formula for the natural frequency of a mass-spring system: f = (1 / 2π) * √(k / m), where f is the frequency, k is the force constant (1.15 × 10⁴ N/m), and m is the mass (75 kg).

1. Calculate the square root of the ratio k/m:
√(1.15 × 10⁴ N/m / 75 kg) = √(153.33) ≈ 12.38

2. Divide the result by 2π:
(1 / 2π) * 12.38 ≈ 1.97

3. Round to two decimal places:
f ≈ 1.60 Hz

The mountain climber bounces at a frequency of 1.60 Hz, considering his mass and the force constant of the nylon rope.

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Related Questions

Is this right or wrong? A piece of redwood and iron are dropped on water.The wood floated while the iron sank.If both materials have the same volume of 72 cm,which has the greater buoyant force on it? OCannot be determined;insufficient information OThe piece of iron. O Both have the same buoyant force. OThe piece ofredwood.

Answers

The piece of redwood has the greater buoyant force on it.  This is because redwood has a lower density than iron, allowing it to displace a larger volume of water and experience a stronger upward force.

To determine which material has the greater buoyant force, we need to consider the relationship between the buoyant force, the volume of the object, and the density of the surrounding fluid. The buoyant force can be calculated using Archimedes' principle.

Given data:

Volume of redwood and iron = 72 cm³

Archimedes' principle states that the buoyant force experienced by an object immersed in a fluid is equal to the weight of the fluid displaced by the object. The weight of the fluid displaced is proportional to the volume of the object and the density of the fluid.

Step 1: Compare the densities of redwood and iron.

Redwood is known for its low density, while iron is much denser. Therefore, the density of redwood is lower than the density of iron.

Step 2: Calculate the buoyant force on each material.

The buoyant force (Fb) can be calculated as:

Fb = ρ × V × g

Where:

ρ is the density of the fluid (water in this case)

V is the volume of the object

g is the acceleration due to gravity

Since the volume of both redwood and iron is given as 72 cm³, we can assume they displace the same volume of water.

Since both materials are dropped on water, the density of water is constant.

Step 3: Compare the buoyant forces.

The buoyant force is directly proportional to the volume of the object and the density of the fluid.

Since the volume of both materials is the same, but the density of redwood is lower than iron, the redwood will displace a greater volume of water and experience a greater buoyant force.

Based on Archimedes' principle, the piece of redwood will experience a greater buoyant force when dropped on water compared to the piece of iron. This is because redwood has a lower density than iron, allowing it to displace a larger volume of water and experience a stronger upward force.

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How do you find velocity at time t 0?.

Answers

When an object doesn't move over time, its velocity is zero. When there is no displacement of the item, the velocity of the object is 0. Between two different time intervals, the object's position is unchanged.

By dividing the entire distance traveled by the time it took the object to go a certain distance, you may calculate the object's initial velocity. V, d, and t are the three variables that make up the equation V = d/t.

Angular acceleration at time zero is -10 rad/s2, and the angular velocity is 27.5 rad/s. How many complete rotations does the disc make before coming to a stop. The circular path is always parallel to the linear velocity. The tangential speed determines magnitude.

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Correct Question:

How do you find velocity at time t=0?.

How long would a simple pendulum need to be to have a period of 1. 0s.

Answers

Answer:

0.248 m

Explanation:

A car with mass m possesses momentum of magnitude p. Which expression correctly represents the kinetic energy, KE, of the car in terms of m and p?

Answers

The expression that correctly represents the kinetic energy, KE, of a car with mass m that possesses momentum of magnitude p is:KE = p²/2mWhere KE is the kinetic energy, m is the mass of the car and p is the momentum of the car.According to the law of conservation of momentum, the momentum of an isolated system of objects that interact is conserved.

When a car is moving with velocity v, its momentum is given by:p = mvwhere m is the mass of the car.In mechanics, the kinetic energy of an object is defined as the energy it possesses due to its motion. The kinetic energy is given by:KE = 1/2mv²However, the question requires the kinetic energy in terms of momentum and mass. To get the kinetic energy in terms of momentum and mass, substitute the expression for momentum, p = mv, into the expression for kinetic energy:KE = 1/2mv²KE = 1/2m(v²)KE = p²/2mTherefore, the expression that correctly represents the kinetic energy, KE, of a car with mass m that possesses momentum of magnitude p is KE = p²/2m.


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A 0.98 kg ball is placed on a vertical 55.71 N/m spring that is compressed 43.14 cm. When the spring is released, how high above its starting point will the ball go?

Answers

Answer:

F = - K X

X = .4314 m       compression of spring

F  = 55.71 N/m * .4314 m = 24.03 N      force to compress spring

E = 1/2 K X^2       energy of compressed spring

E = 1/2 55.71 N / m * (.4314 m)^2 = 5.184 Joules energy of spring    

1/2 M V^2 = E      energy imparted to ball

V = (2 E / M)^1/2 = 3.25 m/s     max speed of ball

M g H = 1/2 M V^2     calculate height of ball after release

H = E / (M g)      height above spring

H = 5.184 / (.98 * 9.80) = .540 m     height to which ball rises

.540 + .4314 = .972 m      height above compression point

When two systems in contact are not at the same temperature, _____ occurs.expansionheat flowfrictionevaporation

Answers

The answer is heat flow.

When two systems in contact are not at the same temperature, heat flow occurs.

What is heat flow?

Heat flow is the transfer of energy (heat) from the Earth's interior to its surface. The Earth's core cooling and radioactive heat creation in the upper 20 to 40 km of the crust are the main sources of heat on the planet.Heat flow occurs when a hot item transfers its heat through a conductor to a cold object, similar to how high-energy objects impart their energy to low-energy objects. How well a conductor transfers heat will impact how quickly and how much heat is transported.

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Answer:

heat flow

Explanation:

When two systems in contact are not at the same temperature, Heat flow occurs.

more info:-

When two objects having different temperature are brought together, energy will always be transferred from the hotter (the object at higher temperature) to the cooler (the object at lower temperature). The objects will exchange thermal energy, until thermal equilibrium is reached, i.e. until their temperatures are equal.it can be explained by zeroth law of thermodynamics.

The amplitude of a light wave is related to its:__.

a. speed.

b. frequency.

c. intensity.

d. color.

Answers

The amplitude of a light wave is related to its: c. intensity.

The amplitude of a light wave refers to the magnitude or strength of the oscillations of the electric and magnetic fields that make up the wave. It determines the brightness or intensity of the light wave. Larger amplitudes correspond to more intense or brighter light, while smaller amplitudes correspond to less intense or dimmer light.

The speed of a light wave (option a) is determined by the medium through which it is propagating and is not directly related to the amplitude. The frequency of a light wave (option b) determines its color, and while frequency and amplitude are related, they represent different characteristics of the wave. The color of a light wave (option d) is determined by its frequency, not its amplitude.

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Suppose you throw a 0.0520 kg ball with a speed of 10.0 m/s and
at an angle of 30.0° above the horizontal from a building 12.0 m high.
a) What will be its kinetic energy when it hits the ground?
b) What will be its speed when it hits the ground?

Answers

The kinetic energy of the ball of 0.0520 kg with a velocity of 10 m/s is 2.6 J. The speed of the ball when it hits the ground will be 15.3 m/s.

What is kinetic energy ?

Kinetic energy of an object is the energy generated by virtue of its motion. It is related to the mass and velocity as follows:

Ke = 1/2 mv²

Given that, m = 0.0520 kg

velocity v= 10 m/s

then Ke = 1/2 × 0.0520 Kg × (10 m/s )² = 2.6 J.

The kinetic energy of the ball when  it hits the ground will be equal to the potential energy. Then, the speed of the when it hits the ground is calculated as:

v =√2gh

v = √(2 × 9.8 m/s 12 m)

  = 15.3 m/s.

Therefore, the speed of the ball when it hits the ground will be 15.3 m/s.

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3. Atoms with the same number of protons and electrons are neutral, and their charges add up to
a) zero
b) one
c) ten

3.Atoms with the same number of protons and electrons are neutral, and their charges add up to a) zerob)

Answers

Answer:

a) zero.

Explanation:

If the charge of an atom is neutral, then that means it has neither a negative charge nor a positive charge. So, it would have a charge of 0.

Hope this helps!

A. Zero
The atom has an equal number of protons and electrons meaning it’s neither positive nor negative.

Why is air pressure lower on top of the airplane wing?

Answers

Answer:

Explanation:

Airplane wings are shaped to make air move faster over the top of the wing. When air moves faster, the pressure of the air decreases. So the pressure on the top of the wing is less than the pressure on the bottom of the wing.

this is off the internet

hope this help:)

testing asking a question.

Answers

Answer:

i- testing testing,, 1 2 1 2

Answer:

?

Explanation:

Did it work how you wanted?

a skydiver dives from an airplane. air resistance is measured each second following the skydiver’s jump.

Answers

The skydiver has the fastest speed at 4 seconds.

As the skydiver falls faster, the drag increases until it approaches the magnitude of gravity. When drag becomes as great as gravity, a force balance is reached and the skydiver stops accelerating. There is no resultant force and the skydiver reaches terminal velocity.

As the skydiver speeds up, his weight stays the same, but his drag increases. There is still a downward force as a result, but this is gradually decreasing. Ultimately, the skydiver's weight is balanced by drag. When she opens her parachute, the drag force is much greater than gravity, so the resultant force is upward.

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The statement that best identifies her speed at each second is as follows: the sky driver has the fastest speed at 4 seconds

Air resistance is the motion of friction that slows something shifting thru the air. Air resistance is depending on the speed, vicinity, and shape of the item going through the air. Altitude, temperature, and humidity exchange air density and, therefore, its resistance.

The better the velocity and the larger the area, the higher the resistance. As the pace will increase so too does the frequency of the collision of air molecules with the item. This results in a growth in air resistance. consequently, because the sky driving force with a weight of 500N increases in air resistance, the speed also will increase.

Skydives:- The game of jumping from a plane at a slight or excessive altitude and free-falling and using one's frame to manipulate direction or movements before establishing one's parachute.

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Now assume that the oil had a thickness of 200 nm and an index of refraction of 1. 5. A diver swimming underneath the oil slick is looking at the same spot as the scientist with the spectromenter. What is the longest wavelength λwater of the light in water that is transmitted most easily to the diver?.

Answers

The longest wavelength λ water of the light in water that is transmitted most easily to the diver is 475 nm.


When light travels from a denser medium to a rarer medium, it bends away from the normal.

According to Snell's law, it can be expressed as follows:

n1sinθ1 = n2sinθ2

where n1 is the refractive index of the first medium,

θ1 is the angle of incidence,

n2 is the refractive index of the second medium,

and θ2 is the angle of refraction.

Here, n1 = 1.33 (refractive index of water),

n2 = 1.5 (refractive index of oil), and θ1 = 0

(since the light is traveling perpendicular to the surface).

Using the formula, we get θ2 = 0.869 radians.

Also, since the wavelength of the light is smaller than the thickness of the oil, we can ignore the reflection from the upper surface of the oil.

The wavelength of the light that will be transmitted most easily can be calculated using the formula

λwater = λoil / n2. Substituting the values, we get λ water = (632.8 nm / 1.5) = 421.9 nm.

However, since this is the shortest wavelength, we need to calculate the longest wavelength, which will be transmitted most easily.

Thus, we get λwater = 2 * λoil / n2 = 2 * 632.8 nm / 1.5 = 475 nm.

Therefore, the longest wavelength λwater of the light in water that is transmitted most easily to the diver is 475 nm.

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Suppose a doctor advises a patient to go on a diet. Will the patient lose mass in the process or will he/she lose weight? Explain.​

Answers

When a patient go on a diet, he or she will lose both the mass and weight.

Differences Between Mass and Weight

Mass is the quantity of an object while weight is the gravitational pull on an object. Mass is constant while weight is not. The unit of mass is Kg while weight is Newton.

Suppose a doctor advises a patient to go on a diet. Will the patient lose mass in the process or will he/she lose weight?

When a patient is on diet, he or she will deprive himself of certain nutrition that can nourish the body. Some of the masses of the body will be converted to energy thereby causing less fat in the body, decrease in body fluid and muscle mass.

Since Weight W = mg, decrease in body mass will eventually lead to weight loss.

Therefore, when a patient go on a diet, he or she will lose both the mass and weight.

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A 230 v mains powered electrical drill draws a current of 2.5 A calculate the power of the drill at use

Answers

The power drill is 575 watts

What type of friction is the force between two moving surfaces

Answers

It is known as a force that acts between moving surfaces as kinetic friction. The movement of a body on the surface is opposed by a force that is perceived.

What causes two moving surfaces to friction?

There may still be friction between the surfaces even when they are moving past one another; this sliding friction is known as a kinetic frictional force.

Between two surfaces, what force exists?

Friction is a force that exists between two surfaces that are sliding or attempting to slide over one another. As an illustration, friction makes it difficult to push a book over the floor. An object is always moved by friction in the opposite direction from where it is moving or trying to move.

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two children of masses m1 = m2 = 20 kg , ride on the perimeter of a small merry-go- round . the merry -go-round us a disk of mass M = 30 kg answer

Answers

Answer:

c

Explanation:

During capillary action, the water will rise higher in which situation?

Answers

During capillary action, the water will rise higher in a narrower tube or channel with a smaller diameter.

This is because the smaller diameter creates a greater surface tension, which pulls the water upward against gravity. Additionally, a surface with a higher degree of attraction to the water molecules will also enhance capillary action, allowing the water to rise higher.
                                     This is because the adhesive forces between the water molecules and the tube's surface, as well as the cohesive forces between the water molecules themselves, are stronger in smaller diameter tubes, leading to a greater capillary rise.

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A A nuclear power plant very precisely controls the intensity
of the reaction while a nuclear bomb releases the energy
in one big explosion.
B
C
Nuclear power plants use nuclear fusion to generate en-
ergy, but a nuclear bomb relies on nuclear fission. Since,
their reactants differ, their reactions differ.
Nuclear power plants have never exploded in their 60 year
history.
D Every nuclear power plant has an electromagnetic shield to
contain an explosion.

Answers

Option A is the best statement to discredit Brian and put your friends at ease. It provides a clear distinction between nuclear power plants and nuclear bombs, highlighting the control and precision involved in the operation of a nuclear power plant.


The statement correctly emphasizes that a nuclear power plant precisely controls the intensity of the nuclear reaction, while a nuclear bomb releases all its energy in one big explosion.
In a nuclear power plant, the chain reaction is carefully regulated to maintain a steady and controlled release of energy. The reactors are designed with multiple layers of safety features to prevent uncontrolled reactions or explosions.
The control rods, which absorb neutrons and regulate the reaction, can be inserted or withdrawn to manage the level of activity.

Option B is not the best choice because while it correctly mentions the difference between nuclear fusion (used in some experimental reactors) and nuclear fission (the primary reaction in commercial reactors), it doesn't directly address the concerns raised by Brian.

Option C may provide some reassurance, but it is not as effective as Option A in discrediting Brian's claim. It solely relies on the historical safety record of nuclear power plants without directly addressing the technical differences between power plants and bombs.

Option A effectively discredits Brian's claim by highlighting the precise control and regulation of nuclear power plants, demonstrating that they are not "nuclear bombs waiting to explode."

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The probable question may be:
Brian is speaking to you and a group of friends. He explains that nuclear power plants are essentially nuclear bombs waiting to explode. This is very worrisome to your friends. Which statement is best suited to discredit Brian and put your friends at ease?

A.A nuclear power plant very precisely controls the intensity of the reaction while a nuclear bomb releases the energy in one big explosion.

B.Nuclear power plants use nuclear fusion to generate energy, but a nuclear bomb relies on nuclear fission. Since, their reactants differ, their reactions differ.

C.Nuclear power plants have never exploded in their 60 year history.

A 2.00-g particle moving at 8.60 m/s makes a perfectly elastic head-on collision with a resting 1.00-g object. (Assume the 2.00-g particle is moving in the positive direction before the collision. Indicate the direction with the sign of your answer.) (a) Find the velocity of each particle after the collision.
2.00-g particle ___ m/s
1.00-g particle ___ m/s
(b) Find the velocity of each particle after the collision if the stationary particle has a mass of 10.0 g.
2.00-g particle ___ m/s
10.0-g particle ___ m/s
(c) Find the final kinetic energy of the incident 2.00-g particle in the situations described in parts (a) and (b).
KE in part (a) ___ J
KE in part (b) ___ J

Answers

We can solve this problem by applying conservation of momentum and conservation of kinetic energy.

(a) Before the collision, the momentum is given by:

p = mv = (2.00 g)(8.60 m/s) = 17.2 g m/s

After the collision, the total momentum is still conserved and can be expressed as:

p = mv₁ + mv₂

where v₁ and v₂ are the velocities of the two particles after the collision. Since the collision is perfectly elastic, we know that the kinetic energy is also conserved:

(1/2)mv₁² + (1/2)mv₂² = (1/2)mv²

where v is the velocity of the 2.00-g particle before the collision.

Solving these equations simultaneously, we can find the velocities of the two particles after the collision:

v₁ = (m₁ - m₂)/(m₁ + m₂) * v + 2m₂/(m₁ + m₂) * 8.60 m/s = 2.00 m/s (in the positive direction)

v₂ = 2m₁/(m₁ + m₂) * v - (m₁ - m₂)/(m₁ + m₂) * 8.60 m/s = 6.60 m/s (in the positive direction)

Therefore, the velocity of the 2.00-g particle after the collision is 2.00 m/s in the positive direction, and the velocity of the 1.00-g particle after the collision is 6.60 m/s in the positive direction.

(b) Using the same approach as in part (a), we can find the velocities of the two particles after the collision:

v₁ = (m₁ - m₂)/(m₁ + m₂) * v + 2m₂/(m₁ - m₂) * 8.60 m/s = 0.344 m/s (in the positive direction)

v₂ = 2m₁/(m₁ + m₂) * v - (m₁ - m₂)/(m₁ + m₂) * 8.60 m/s = 1.716 m/s (in the positive direction)

Therefore, the velocity of the 2.00-g particle after the collision is 0.344 m/s in the positive direction, and the velocity of the 10.0-g particle after the collision is 1.716 m/s in the positive direction.

(c) The kinetic energy of the incident 2.00-g particle is given by:

KE = (1/2)mv² = (1/2)(2.00 g)(8.60 m/s)² = 73.96 mJ

In part (a), the kinetic energy is conserved, so the final kinetic energy of the 2.00-g particle is also 73.96 mJ.

In part (b), the kinetic energy is not conserved since the 10.0-g particle has more mass and therefore more momentum. The final kinetic energy of the 2.00-g particle can be found using:

KE = (1/2)mv₁² = (1/2)(2.00 g)(0.344 m/s)² = 0.118 mJ

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explain liquid -liquid extraction

Answers

Answer:

Explanation: Liquid–liquid extraction (LLE), also known as solvent extraction and partitioning, is a method to separate compounds or metal complexes, based on their relative solubilities in two different immiscible liquids, usually water (polar) and an organic solvent (non-polar).

For Each Of The Following Scenarios Described Where A Molecule Or Ion Is Moving From One Side Of A Membrane To The Other, Select The Method By Which The Molecule Or Ion Is Moving. Each Answer Can Be Used More Than Once, Or Not At All. A. Simple Diffusion B. Facilitated Diffusion By A Channel Protein C. Facilitated Diffusion By A Carrier/Transport Protein

Answers

For Each Of The Following Scenarios Described Where A Molecule Or Ion Is Moving From One Side Of A Membrane To The Other, Option A is correct answer.

Scenario A: Oxygen moving across a plasma membrane Answer: A. Simple Diffusion Scenario B: Glucose moving across a plasma membrane Answer: C. Facilitated Diffusion By A Carrier/Transport Protein Scenario C: Sodium moving across a plasma membrane Answer: B. Facilitated Diffusion By A Channel Protein Scenario D: Water moving across a plasma membrane Answer: A. Simple Diffusion : Simple diffusion allows the nonpolar and small molecules to pass through the plasma membrane without any assistance of proteins. In facilitated diffusion, larger polar molecules or ions move across the membrane through the help of transport proteins. Transport proteins are of two types, channel and carrier proteins. Channel proteins provide an open path for the molecules to move whereas carrier proteins hold the molecules to move across the membrane and change their shape.

Option A is correct answer.

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If you double the unbalanced force on an object of a given mass, the
acceleration will be?
A. Doubled
C. Increase Fourfold
B. Increased by 1/2
D. Increased by ¼

Answers

A. Doubled.

This is because according to Newton's second law of motion, the acceleration of an object is directly proportional to the force applied on it and inversely proportional to its mass. When you double the unbalanced force on an object of a given mass, the acceleration will also double. Therefore, the correct answer is A.

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Hypertension The INTERSALT Study investigators collected standardized data on timed 24-hour urinary excretion for 10,079 men and women from 52 population samples in 32 countries (Brown et al.) [14] One of the goals of the INTERSALTStudy was to quantify the relationship between 24-hour urinary Na ly) and estimated 24-hour urinary Na (x) obtained from casual urine specimens at one point in time. The investigators presented a simple linear regression of y on x, separately for men and women. The regression equation for men was: Y 1.03 x 7.19, with R2 0.27, n 1369 11.25 What does the R2 of 0.27 mean in words?

Answers

In words, the R2 of 0.27 means that 27% of the variability in y (24-hour urinary Na) can be explained by x (estimated 24-hour urinary Na) obtained from casual urine specimens at one point in time.

The INTERSALT Study was designed to investigate the relationship between dietary sodium and blood pressure (hypertension) in populations worldwide.

The study included 10,079 men and women from 52 population samples in 32 countries. One of the goals of the study was to quantify the relationship between 24-hour urinary Na (y) and estimated 24-hour urinary Na (x) obtained from casual urine specimens at one point in time.

The investigators presented a simple linear regression of y on x, separately for men and women. The regression equation for men was: Y = 1.03x + 7.19, with R2 = 0.27, n = 1369.

The coefficient of determination, R2, is a statistical measure that represents the proportion of the variance for a dependent variable (y) that's explained by an independent variable (x) or variables in a regression model.

In this case, the R2 of 0.27 means that 27% of the variability in y (24-hour urinary Na) can be explained by x (estimated 24-hour urinary Na) obtained from casual urine specimens at one point in time. The remaining 73% of the variability in y is due to other factors that are not included in the regression model.

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explain why energy bonds for utilities tied to bakken shale oil are especially risky.

Answers

Energy bonds for utilities tied to Bakken shale oil are especially risky because of the volatile nature of the oil industry and because their oil is expensive to extract due to its geographic location.

The Bakken shale oil fields in North Dakota and Montana have been a major source of oil production in the United States, but the industry has seen a lot of ups and downs in recent years. This volatility can make it difficult for utilities to accurately predict their revenues and expenses, which can make it difficult to repay the bonds.

Additionally, the Bakken shale oil fields are subject to a number of environmental and regulatory risks, which can also impact the profitability of the utilities. As a result, energy bonds for utilities tied to Bakken shale oil are considered to be especially risky investments.

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Brandon has a spinner that is marked with the colors red, green, and blue. Based only


on this information, which statement must be true?

Answers

Based on the information given, the only statement that must be true is:

P(Blue) + P(Not Blue) = 1. Option D

What is the correct statement?

This assertion is accurate since the chance of an event happening multiplied by the probability of it not happening should equal one. The only outcomes in this scenario are "Blue" and "Not Blue," which are complementary events. The total of their probability should therefore equal 1.

For the other statements;

P(Red) = P(Blue): We do not have any information about the relative probabilities of red and blue, so we cannot conclude that they are equal.

P(Green) < P(Not Green): We do not have any information about the probabilities of green and its complement, so we cannot determine their relationship.

P(Red) + P(Green) > 1: We do not have enough information to determine the exact values of the probabilities, so we cannot conclude that their sum is greater than 1.

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Missing parts;

Brandon has a spinner that is marked with the colors red, green, and blue. Based only on this information, which statement must be true?

answer choices

P(Red) = P(Blue)

P(Green) < P(Not Green)

P(Red) + P(Green) > 1

P(Blue) + P(Not Blue) = 1

Which of the following interactions with matter results in an impact upon image contrast, if excessive.
a. Compton scattering
b. coherent scatter
c. photoelectric interactions
d. photodisintegration


Answers

Among the given options, the interaction with matter that results in an impact upon image contrast, if excessive, is photoelectric interactions.

The photoelectric effect is an interaction between photons and matter, where an incident photon ejects an electron from an atom or molecule. In medical imaging, such as X-ray imaging, excessive photoelectric interactions can lead to high absorption of X-rays by the patient's tissues. This can result in reduced transmission of X-rays through the body, leading to increased image contrast. Excessive photoelectric interactions can cause areas of high attenuation and result in darker regions in the X-ray image, potentially obscuring details.

On the other hand, Compton scattering, coherent scatter, and photodisintegration interactions do not primarily impact image contrast in the same way as excessive photoelectric interactions. Compton scattering and coherent scatter can contribute to scattered radiation, which can affect image quality but not necessarily image contrast. Photodisintegration involves the interaction of high-energy photons with atomic nuclei, which is not directly related to image contrast in medical imaging scenarios.

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the time period of planet x around sun is 8 times that of y. the distance of x from the sun is how many times greater than that of y?

Answers

The distance of planet X from the sun is 8 times greater than that of planet Y.

The time period of a planet around the sun is directly proportional to the distance of the planet from the sun. The relationship between the time period and distance of a planet around the sun is given by the formula T^2 = k*r^3, where T is the time period, r is the distance of the planet from the sun and k is a constant.

Given that the time period of planet X around the sun is 8 times that of planet Y.

T_x = 8 * T_y

We can square the equation, we have:

T_x^2 = 8^2 * T_y^2

We can divide the above equation by the constant k, we have:

r_x^3 = 8^2 * r_y^3

We can take the cube root of both sides, we have:

r_x = (8^2 * r_y^3)^(1/3)

r_x = 8 * r_y

So the distance of planet X from the sun is 8 times greater than that of planet Y.

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Blocks of mass 3M (on the left) and 2M (on the right) are in contact with one another on a frictionless horizontal surface. An external force 4F acting to the right is applied to the block of mass 3M, and an external force 2F acting to the left is applied to the block of mass 2M. Find the magnitude of the force that mass 2M exerts on the block of mass 3M.

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To find the magnitude of the force we can apply Newton's third law of motion, which states that for every action, there is an equal and opposite reaction.

Since the two blocks are in contact with each other, the force exerted by mass 2M on mass 3M will be equal in magnitude and opposite in direction to the force exerted by mass 3M on mass 2M.

Given that an external force 4F is acting to the right on the block of mass 3M, and an external force 2F is acting to the left on the block of mass 2M, we can set up an equation using Newton's third law: 4F = -2F

Here, the negative sign indicates that the force exerted by mass 2M on mass 3M is in the opposite direction to the force exerted by mass 3M on mass 2M. Solving the equation, we find that

4F = -2F

6F = 0

This implies that the net force on the system is zero, and therefore, the magnitude of the force that mass 2M exerts on mass 3M is 0.

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what does terminal velocity mean ? please help

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\( \underline{ \bf{\underline{\large{Terminal \: Velocity}}}}\)

The maximum constant velocity acquired by a body while falling through a viscous medium is called it's terminal velocity. It is usually denoted by \( \sf V_T \).It is directly proportional to the square of the radius of the body (a²) & the difference of the densities of the body and the fluid \( \sf (\rho - \sigma) \).It is inversely proportional to the viscosity of the medium \( \sf (\eta) \).Formula of Terminal Velocity:\( \boxed{ \bf{V_T = \dfrac{2}{9} \dfrac{ {a}^{2} }{ \eta} ( \rho - \sigma)g}}\)
Terminal velocity means steady speed achieved.
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