A guitar string has a fundamental frequency f. The tension in the string is increased by 1.70%. Ignoring the very small stretch of the string. How does the fundamental frequency change?

Given:

Vector A = 63.5 m at 90 degrees

Vector B = 101 m at 57.0 degrees

Let's find the direction of the sum of these two vectors.

To find the direction, let's first find the x- and y-components of the vectors.

• Vector A:

• Vector B:

For the sum of components, we have:

x = Ax + Bx = 0 + 55 = 55 m

y = Ay + By = 63.5 + 84.7 = 148.2 m

Now, to find the direction of the sum, we have:

Plug in the values and solve for θ.

We have:

Therefore, the direction of the sum of the vectors is 69.6 degrees.

ANSWER:

69.6 degrees.

The universe has four different types of galaxies: elliptical, spiral, barred spiral, and irregular. Although there are other sorts of galaxies besides these, which are the four primary categories, they are all categorized according to their shapes.

A galaxy's shape is a result of a combination of the gravitational pull of the gas clouds' internal gravity and the spinning gas cloud's centrifugal force. Because of the spinning gas cloud's centrifugal force, all galaxies were born with an elliptical form.

Due to the fact that galaxies rotate around a central axis and due to a phenomenon known as "density waves," astronomers think that galaxies have spiral arms. Galactic density waves are comparable to ocean waves. In a pond, the water doesn't actually move; instead, wave energy moves and changes the water as it passes.

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Answer:

Students should realize that each atom in a group has the same number of electrons in its outermost energy level. For instance, hydrogen, lithium, sodium, and potassium all have 1 electron on their outer energy level. Let students know that these electrons in the outermost energy level are called valence electrons.

Answer:

See below

Explanation:

East is   70 cos 133 = -47.7 m/s   East

North is  70 sin 133 = 51.2 m/s   North

Vitalpando Winery will need to promise an annual dividend of $330,000 if investors demand a return of 11% on their preferred stock. The dividend amounts for the other required return rates are as follows: $450,000 for 15%, $240,000 for 8%, $300,000 for 10%, $180,000 for 6%, and $90,000 for 3%.

To determine the annual dividend required to satisfy the investors' demands for different return rates, we need to multiply the number of shares by the desired return rate. In this case, the winery wants to sell one million shares of preferred stock.

For option (a), where the desired return rate is 11%, the calculation would be: $30,000,000 (total funds required) multiplied by 0.11 (11% expressed as a decimal) divided by 1,000,000 (number of shares). This results in an annual dividend of $330,000.

Similarly, for the other return rates, the calculations are as follows:

(b) $30,000,000 x 0.15 / 1,000,000 = $450,000

(c) $30,000,000 x 0.08 / 1,000,000 = $240,000

(d) $30,000,000 x 0.10 / 1,000,000 = $300,000

(e) $30,000,000 x 0.06 / 1,000,000 = $180,000

(f) $30,000,000 x 0.03 / 1,000,000 = $90,000

Therefore, the annual dividends required to satisfy the investors' demands for the different return rates are as stated above.

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Answer:

PE = 44.1 J

Explanation:

Ok, to have the specific data, the first thing we must do is convert from grams to kilograms. Since mass must always be in kilograms (kg)

We have:

We convert it using a rule of 3, replacing, simplifying units and solving:

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Earth's gravity is known to be 9.8 m/s², so we have:

Data:

Use formula of potencial energy:

Replace and solve:

Since the decimal number, that is, the number after the comma is less than 5, it cannot be rounded, then we have this result.

The potential energy of the volleyball is 44.1 Joules.

Greetings.

The momentum of the car is 3000 kg·m/s. The collision between the car and the clay blob is an inelastic collision, and momentum is conserved.

To stop the car, the clay blob should be fired with a velocity of -300 m/s. The momentum of an object is defined as the product of its mass and velocity. In this case, the car has a mass of 1500 kg and a velocity of 2.0 m/s. By multiplying these values, we find that the momentum of the car is 3000 kg·m/s. When the clay blob is fired at the car, the collision is considered an inelastic collision. In an inelastic collision, objects stick together or deform upon impact, resulting in the loss of kinetic energy. In this scenario, the clay blob sticks to the car, causing a change in the car's motion and resulting in a loss of kinetic energy. Momentum conservation states that the total momentum of a system remains constant if no external forces are acting on it.

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What is permeability? b. pore spaces that are interconnected to allow the movement of air or water. Permeability is a measure of the ability of a material to allow the flow of fluids through it.

It is a measure of the interconnectedness of the pore spaces in a material. Materials with high permeability allow fluids to flow through them more easily than materials with low permeability.

What is the capillary fringe? b. material above the water table that is moistened by the rise of capillary water against gravity. The capillary fringe is the zone of soil or rock that is saturated with water due to capillary action.

Capillary action is the ability of water to move upwards against gravity through the narrow spaces between soil particles. The capillary fringe is typically a few centimeters thick, but it can be thicker in some soils.

Permeability is a measure of the ability of a material to allow the flow of fluids through it.

The capillary fringe is the zone of soil or rock that is saturated with water due to capillary action.

Permeability is important in a variety of applications, including groundwater recharge, well design, and the construction of dams and levees. The capillary fringe is important for plant growth, as it provides water to plants that are not located directly above the water table.

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Answer:

3.44 s

Explanation:

Given:

Δx = 45.8 m

v₀ = 19.8 m/s

a = -3.77 m/s²

Find: t

Δx = v₀ t + ½ at²

45.8 = 19.8 t + ½ (-3.77) t²

45.8 = 19.8 t − 1.885 t²

1.885 t² − 19.8 t + 45.8 = 0

t = [ -b ± √(b² − 4ac) ] / 2a

t = [ 19.8 ± √((-19.8)² − 4 (1.885) (45.8)) ] / 2(1.885)

t = [ 19.8 ± √(392.04 − 345.332) ] / 3.77

t = 3.44 or 7.06

The first time, 3.44 seconds, is correct.

The second time is the time it would take the car to return to 45.8 m if it continued decelerating after stopping.

The force of the car's engine exerts is 6000 N.

To find the force, the given values are,

acceleration, a = 3 m/s².

mass = 3000 kg

Acceleration, a = Force F/ Mass m

From which we get the formula

Force F = Mass m × Acceleration a

Where, mass is kg and acceleration is m/s².

where kg is kilogram-meter per second square or Newton.

Substituting the Equation in:

F = ma

  = 3000kg x 2m/s²

  = 6000kgm/s²

F = 6000 N.

So, the Force of the car engine exerted is 6000 N.

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The magnitude of potential energy at the top will be 39.2 J and it will be zero on ground because kinetic energy is maximum.

Gravitational potential energy of an object is the product of its mass and the height attained under the influence of acceleration due to gravity.

Given that a brick with a mass of 1 kg is lifted to the top of a 4 m high roof. It slips off the roof and falls to the ground.

The parameters involved are

The gravitational potential energy of the brick at the top of the roof will be;

GPE = mgh

GPE = 1 × 9.8 × 4

GPE = 39.2 J

The gravitational potential energy of the brick on the ground will be zero because all the potential energy of the brick must have been converted to kinetic energy once it has fallen.

Therefore, the gravitational potential energy of the brick at the top of the roof will be 39.2 J and on the ground will be zero.

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Increase the frequency of the incident light. The photoelectric effect occurs when light of a sufficient frequency strikes a metal and frees electrons from the metal's surface. The energy of the incident photons must be greater than the energy required to remove the electrons, known as the work function. Thus, increasing the frequency of the incident light will result in higher energy photons, increasing the likelihood of electron ejection in the photoelectric effect.

The kinetic energy of the photoelectrons that are released will grow as the light amplitude increases, according to the wave model of light, yet the measured current will increase as the frequency increases. In contrast to expectations, studies revealed that raising the light's frequency and amplitude raised the current and the photoelectrons' kinetic energy, respectively.

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Answer:

\(Vg=200mile/hr\)

\(\theta=153 \textdegree\)

Explanation:

From the question we are told that:

Plane airspeed \(v_p=190mil/h\)

Plane direction \(\angle=150 \textdegree\)

Wind current speed \(V_w=30mil/h\)

Wind direction \(\angle=150 \textdegree\)

Generally the vector form of the forces is mathematically given by

For plane

\(\angle Q_p=90-150 \textdegree\)

\(V_p=170(cos60 \textdegree ,sin60 \textdegree)\)

\(V_p=(85,-147.224)\)

For wind

\(\angle Q_w=90-170 \textdegree\)

\(V_w=30(cos-80 \textdegree ,sin-80 \textdegree)\)

\(V_w=(5.2,-29.54)\)

Generally the equation for resultant force is mathematically given by

\(v_r=V_a+V_w\)

\(v_r=(85,-147.224)+(5.2,-29.54)\)

\(v_r=(90.21,-176.76)\)

\(v_r=198.45\angle -63\)

Therefore ground speed

\(V_g=198.5miles/hr\)

\(Vg=200mile/hr\)

Direction

\(\theta=(90+63)=153 \textdegree\)

\(\theta=153 \textdegree\)

Answer:

J = 8 kg-s

Explanation:

Given that,

Force, F = 40 N

Time, t = 0.2 s

We need to find the impulse. We know that,

Impulse, J = F×t

So,

J = 40 × 0.2

J = 8 kg-s

So, the impulse is 8 kg-s.

The speed of an object is the rate of change of its position, and the object's velocity includes its speed as well as its direction of motion. The rate of change of the object's velocity gives the acceleration.

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Answer:

The distance the bird flew is approximately 2.59 meters

Explanation:

We list out the parameters in the question, and the required measurement as follows;

The mass of the Cuban bee hummingbird, m = 1.7 g = 0.0017 kg

The amount of work the bird does, W = 8.8 × 10⁻⁴ J

The amount of upward force the bird exerts, F = 3.4 × 10⁻⁴ N

Let 'd' represent the distance flown by the bird

(The downward force, \(F_g\) = The weight of the bird, W

W = The mass of the bird, m × The acceleration due to gravity, g

The acceleration due to gravity, g ≈ 9.81 × 10 m/s²

∴ \(F_g\) ≈ 0.0017 kg × 9.81 m/s² = 0.016677 N > F)

Given that the weight of the bird is larger than 'F', we assume that the force exerted by the bird is the net force, \(F_{NET}\) = F

Therefore;

Work done, W = Net Force, \(F_{NET}\) × Distance, d

∴ W = \(F_{NET}\) × d

d = W/\(F_{NET}\) = 8.8 × 10⁻⁴ J/(3.4 × 10⁻⁴ N) = 2.58823529 meters

The distance the bird flew, d ≈ 2.59 m.

Answer:

   t = 4.468 h

Explanation:

For this exercise let's start by calculating the distance where the boat is

the first trip is 50 miles at 45 °, then 90 miles at 80 °,

to find the total distance let's find the distance of each displacement

             cos 45 = x₁ / 50

             sin 45 = y₁ / 50

             x₁ = 50 cos 45 = 35.35 miles

             y₁ = 50 cos 45 = 35.35 miles

             cos 80 = x₂ / 90

             sin 80 = y₂ / 90

             x₂ = 90 cos 80 = 15.63 miles

             y₂ = 90 sin 80 = 88.63 miles

let's find the total displacement in each axis

            x_total = x₁ + x₂

            x_total = 35.35 + 15.63

            x_total = 50.98 miles

            y_total = y₁ + y₂

            y_total = 35.35 + 88.63

            y_total = 123.98 miles

Let's use the Pythagorean theorem to find the modulus of the displacement

            R = √ (x_total² + y_total²)

            R = √ (50.98² + 123.98²)

            R = 134.05 miles

The boat goes at a constant speed,

           v = R / t

           t = R / v

let's calculate

           t = 134.05 / 30

            t = 4.468 h

Answer:

When gamma rays pass through the human body, they ionize the tissue.  gamma ray ionization can affect healthy cells. When high levels of gamma rays bombard a body, a resulting dangerous ionization of tissue can cause skin cancer.

Explanation:

Answer:

it is difficult

my best answer would be a. 6

hope its right!!

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

Explanation:

The half-life formula is

y = A*(1/2)^(x/H)

where A is the starting amount, H is the half-life, x is the time value and y is the amount after x units of time have passed.

I'll express the x and H values in terms of millions of years. So for example, when we say H = 500, then that really refers to 500 million years.

----------

In this case, we know that,

Let's use those values to solve for x. We'll need logs to cut the exponents down from the trees.

y = A*(1/2)^(x/H)

3 = 192*(1/2)^(x/500)

3/192 = (0.5)^(x/500)

0.015625 = (0.5)^(x/500)

log(0.015625) = log( (0.5)^(x/500) )

log(0.015625) = (x/500)*log(0.5)

(x/500)*log(0.5) = log(0.015625)

x = 500*log(0.015625)/log(0.5)

x = 3,000

Keep in mind that x is in millions of years. So saying x = 3,000 means 3,000 million years. This translates to 3,000*10^6 = 3,000,000,000 = 3 billion years.

It will take about 3 billion years for the 192 atoms to decay to only 3 atoms.

The amount of half-lives this occurs is x/H = (3,000)/500 = 6

So the time span of 3 billion years is the same as 6 half-lives when each half-life is 500 million years long.

Answer:

Natural convection

Explanation:

Natural convection occurs when fluids are heated. When the fluid molecules are heated, the fluid becomes larger and lighter. The heated molecules take up more space and rise to the top, while the cooler molecules sink to the bottom. These cooler molecules then become heated.

Answer:

9.8 Newton

Explanation:

At average gravity on earth (conventionally, g=9.80665m/s2),

a kilogram mass exerts a force of about 9.8 newton

I hope this answer helps you

Answer:

Among those two medium, light would travel faster in the one with a reflection angle of \(32^{\circ}\) (when light enters from the air.)

Explanation:

Let \(v_{1}\) denote the speed of light in the first medium. Let \(v_{\text{air}}\) denote the speed of light in the air. Assume that the light entered the boundary at an angle of \(\theta_{1}\) to the normal and exited with an angle of \(\theta_{\text{air}}\). By Snell's Law, the sine of \(\theta_{1}\!\) and \(\theta_{\text{air}}\!\) would be proportional to the speed of light in the corresponding medium. In other words:

\(\displaystyle \frac{v_{1}}{v_{\text{air}}} = \frac{\sin(\theta_{1})}{\sin(\theta_{\text{air}})}\).

When light enters a boundary at the critical angle \(\theta_{c}\), total internal reflection would happen. It would appear as if the angle of refraction is now \(90^{\circ}\). (in this case, \(\theta_{\text{air}} = 90^{\circ}\).)

Substitute this value into the Snell's Law equation:

\(\begin{aligned}\frac{v_{1}}{v_{\text{air}}} &= \frac{\sin(\theta_{1})}{\sin(\theta_{\text{air}})} \\ &= \frac{\sin(\theta_{c})}{\sin(90^{\circ})} \\ &= \sin(\theta_{c})\end{aligned}\).

Rearrange to obtain an expression for the speed of light in the first medium:

\(v_{1} = v_{\text{air}} \cdot \sin(\theta_{1})\).

The speed of light in a medium (with the speed of light slower than that in the air) would be proportional to the critical angle at the boundary between this medium and the air.

For \(0 < \theta < 90^{\circ}\), \(\sin(\theta)\) is monotonically increasing with respect to \(\theta\). In other words, for \(\!\theta\) in that range, the value of \(\sin(\theta)\!\) increases as the value of \(\theta\!\) increases.

Therefore, compared to the medium in this question with \(\theta_{c} = 27^{\circ}\), the medium with the larger critical angle \(\theta_{c} = 32^{\circ}\) would have a larger \(\sin(\theta_{c})\). such that light would travel faster in that medium.

Answer:

formula for acceleration= (final velocity - starting velocity)/ time elapsed

if the starting velocity was 0 m/s

if the final velocity is 29.4 m/s

time elapsed is 3 seconds

then a =(29.4-0)/3

=9.8 m/s^2

Explanation: sorry for the late answer

Answer: Globular clusters with stars more than 13 billion years old contain heavy elements.

Plates moving at 7.3 cm/year are approximately 5.615 times faster than those moving at 1.3 cm/year.

The speed at which plates move is determined by the relative motion between tectonic plates along their boundaries. To compare the speeds of plates moving at different rates, we can calculate the ratio between their velocities.Let's consider plates moving at 7.3 cm/year and 1.3 cm/year. To find the factor by which the faster plates are moving compared to the slower plates, we divide their velocities:

7.3 cm/year / 1.3 cm/year = 5.615

In other words, for every unit of time, the faster plates cover approximately 5.615 times the distance covered by the slower plates. This difference in speed can have significant implications for geological processes such as the accumulation of strain along plate boundaries, the occurrence of earthquakes, and the formation of mountain ranges. It highlights the dynamic nature of tectonic plate movements and their influence on Earth's geology and surface features.

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Answer:

I think it's B because if you put it in decimal form that would be it I THINK (anxiety)

The magnitude of this vector is 9.43 and the direction angle of the vector is 58°.

The initial point and the terminal point of the vectors are (3 - 5) and (-2, 3) respectively.

The characteristics of the vector mainly includes the magnitude and the direction of the angle of the vector.

The magnitude of this vector will be given by,

M = √((-2-3)²+(3+5)²)

M = √(25+64)

M = √89

M = 9.43

The direction angle of this vector with the x-axis will be given by,

Tan A = (8/-5)

Tan A = -1.6

A = 58°.

The direction angle of this vector is 58 degree.

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Answer: D. The magnitude is StartRoot 89 EndRoot, and the direction angle is about 122°.

Explanation: