you throw a baseball from the ground up to your friend on the top of a 25.36 m building. you throw it vertically with an initial velocity of 40.92 m/s. when does your friend catch the ball? express your answer in units of seconds.

Answer:

The true statements are;

The median of A is the same as the median of B

The interquartile range of B is greater than the interquartile range of A

Explanation:

The given parameters are;

The set of the number of runs, A = {1, 4, 2, 2, 3, 1, 1, 2, 1}

The number of runs the pitcher allows in the tenth game = 9 runs

The set of the number of runs allowed in 10 games B = {1, 4, 2, 2, 3, 1, 1, 2, 1, 9}

Rearranging the data, we get  

A = 1, 1, 1, 1, 2, 2, 2, 3, 4

B = 1, 1, 1, 1, 2, 2, 2, 3, 4, 9

For the set A, we have;

Q₁ = 1, Q₂ = 2, Q₃ = 2

Therefore, the interquartile range of A = Q₃ - Q₁ = 2.5 - 1 = 1.5

For the set B, we have;

Q₁ = 1, Q₂ = 2, Q₃ = 2

Therefore, the interquartile range of A = Q₃ - Q₁ = 3.25 - 1 = 2.25

Therefore, the correct answers with regards to the two data are;

The median of A is the same as the median of B

The interquartile range of B is greater than the interquartile range of A

The given series, 1 + 7n Σ 57 n = 1, is divergent because the terms in the series continue to increase without bounds, the sum of the series also increases indefinitely.

To determine the convergence or divergence of the series, we can analyze its behaviour as n approaches infinity. The series can be written as Σ(1 + 7n*57) for n = 1 to infinity. By simplifying the expression, we have Σ(399n + 1) for n = 1 to infinity.

As n increases, the summand of the series grows linearly with a coefficient of 399. Since the coefficient is nonzero and positive, the series will diverge. This means that the sum of the series will not approach a finite value as n tends to infinity.

Therefore, the given series is divergent, and we cannot find its sum. It is important to note that a divergent series does not have a finite sum. Therefore, the sum of the given series is "DIVERGES."

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The operation of an inductive transducer involves the translation of linear motion into electrical signals. The output voltage is dependent on the position of the core, and a change in core position leads to a corresponding change in output voltage. In the given example of an LVDT, the output voltage vs. core position can be calculated and graphed to visualize the relationship.

An inductive transducer is a device that converts linear motion into electrical signals. It consists of a coil and a core that moves linearly within the coil. When the core moves, it changes the inductance of the coil, which in turn affects the output voltage.

The operation of an inductive transducer is dependent on the position of the core. As the core moves, the inductance of the coil changes, resulting in a corresponding change in the output voltage. When the core is at its central position, the output voltage is at its midpoint. As the core moves away from the central position in either direction, the output voltage increases or decreases accordingly.

Now, let's calculate the output voltage vs. core position for the given LVDT data. The input voltage is 6.3 V, and the output voltage is 5.2 V. The range of the LVDT is ±0.5 cm.

First, let's calculate the voltage sensitivity (SV) of the LVDT. SV is defined as the change in output voltage per unit change in core position.

SV = (output voltage range) / (core position range)
  = (5.2 V - 0 V) / (0.5 cm - (-0.5 cm))
  = 5.2 V / 1 cm
  = 5.2 V/cm

The voltage sensitivity is 5.2 V/cm.

Now, let's calculate the output voltage for a core movement from +0.45 cm to -0.3 cm.

Change in core position = (-0.3 cm) - (+0.45 cm)
                        = -0.75 cm

Change in output voltage = (change in core position) * (voltage sensitivity)
                       = (-0.75 cm) * (5.2 V/cm)
                       = -3.9 V

The output voltage changes by -3.9 V.

To sketch the output voltage vs. core position graph, we can plot the core position on the x-axis and the output voltage on the y-axis. The graph will show a linear relationship between core position and output voltage, with a slope of 5.2 V/cm. At the central position of the core (0 cm), the output voltage will be 5.2 V. As the core moves to +0.45 cm, the output voltage will decrease by 3.9 V. Similarly, as the core moves to -0.3 cm, the output voltage will decrease by 3.9 V.

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Answer:

mass

Explanation:

We see the definitions for each option.

Weight: Weight is the force with which earth attracts a body towards itself. Weight changes with the value of acceleration due to gravity.

Mass: Mass is defined as the quantity of matter contained in a body. It remains constant anywhere in the universe.

Time: The interval of time that passes on

Length: Distance between two specified points.

Hence, it is clear from the definition that the physical quantity that represents the quantity of matter is:

mass

The answer to this is B, C, and D. hope this helped

This question involves the concepts of work done and elastic potential energy.

The work done by the spring when its extension changes from X to X/4 is "0.56 E".

The work done by the spring is equal to the elastic potential energy stored in the spring, which is given as follows:

\(W=E\\W=E=\frac{1}{2}kX^2---- eqn(1)\)

where,

W = work done = ?

E = elastic potential energy

k = spring constant

X = extension

Now, the spring moves to an extension of X/4, so the change in extension will be:

\(\Delta X = X-\frac{X}{4}\\\\\Delta X = \frac{3X}{4}\)

Hence, the work done will become:

\(W=\frac{1}{2}K\Delta X^2\\\\W=\frac{1}{2}K(\frac{3X}{4})^2\\\\W=\frac{1}{2}KX^2(0.56)\\\\using\ eqn(1):\)

W = 0.56 E

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The molar specific heat of the mixture at constant volume, when one mole of a monoatomic gas is mixed with three moles of a diatomic gas, is 2.25r. The correct option is b.

The molar specific heat at constant volume (Cv) is a measure of the amount of heat required to raise the temperature of one mole of a substance by one degree Celsius while keeping the volume constant.

For a monoatomic gas, the molar specific heat at constant volume is given by Cv = (3/2)R, where R is the molar gas constant.

For a diatomic gas, the molar specific heat at constant volume is given by Cv = (5/2)R.

When one mole of a monoatomic gas is mixed with three moles of a diatomic gas, the total moles of gas in the mixture is four. The molar specific heat of the mixture at constant volume can be calculated by taking the weighted average of the molar specific heats of the individual gases, based on their respective mole ratios.

In this case, the mixture consists of one mole of the monoatomic gas and three moles of the diatomic gas, giving a mole ratio of 1:3. Using the weighted average formula, the molar specific heat of the mixture is calculated as:

Cv_mixture = (1/4) × (Cv_monoatomic) + (3/4) × (Cv_diatomic)

= (1/4) × (3/2)R + (3/4) × (5/2)R

= (3/8)R + (15/8)R

= (18/8)R

= 2.25R

Therefore, the molar specific heat of the mixture at constant volume is 2.25R. The correct option is b.

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The three wavelengths that will produce standing waves on this string are 4 m, 2 m, and 1.33 m.

To find the wavelengths that will produce standing waves on a stretched string fixed at both ends, we can use the formula:

λn = 2L/n

where λn is the wavelength of the nth harmonic, L is the length of the string, and n is the harmonic number.

For the fundamental frequency (n = 1), the wavelength would be:

λ1 = 2L/1 = 4 m

For the second harmonic (n = 2), the wavelength would be:

λ2 = 2L/2 = L = 2 m

For the third harmonic (n = 3), the wavelength would be:

λ3 = 2L/3 ≈ 1.33 m

So, the three wavelengths that will produce standing waves on this string are 4 m, 2 m, and 1.33 m.

Now, for a wavelength that would not produce a standing wave pattern, we can consider the case where the wavelength is equal to the length of the string, i.e., λ = L. In this case, the wave will not produce a standing wave pattern because the ends of the string are fixed nodes, and the only possible standing wave pattern is one that has a node at each end. If the wavelength is equal to the length of the string, the only possible pattern would be a single wave with an antinode at the center, which is not a standing wave.

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Hi there!

\(\large\boxed{ -6.36m/s}\)

Use the equation:

\(v_{2} = -\frac{m_{1}}{m_{2}} v_{1}\)

Where m2 and v2 deal with the larger object, and m1 and v1 with the smaller object. Plug in the given values:

v2 = ?

m1 = 0.048 kg (converted)

m2 = 2.95

v1 = 391

\(v_{2} = -\frac{0.048}{2.95} *391\)

\(v_{2} = -6.36m/s\)

Answer:

a. 60 N*s

b. 60 (kg*m)/s

c. 3 m/s

Explanation:

Givens:

m = 20 kg

v_i = 0 m/s

t = 10 s

F = 6 N

a) Impulse:

I = F*t

I = 6 N*10 s

I = 60 N*s

b) Momentum:

p = v*m

F = m(a)

a = F/m

a = 6 N/20 kg

a = 0.3m/s^2

a = (v_f -v_i)/t

v_f = (0.3 m/s^2)*10 s

v_f = 3.0 m/s

p = 3 m/s*20 kg

p = 60 (kg*m)/s

c. Final velocity

a = (v_f -v_i)/t

v_f = (0.3 m/s^2)*10 s

v_f = 3.0 m/s

The impulse, momentum and final velocity can all be obtained from Newton's second law.

Let us recall that the impulse is obtained as the product of force and time.

Impulse = Force × time

Impulse = 6 N × 10 s = 60 Ns

From Newton's second law of motion;

F.t = mv - mu

Since the object was initially at rest;

F.t = mv

Hence, the final velocity of the object is 60 Kgms-1

The final velocity is obtained from;

F.t = mv

v = F.t/m

v = 6 × 10/20

v = 3 m/s

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Answer:

Inertia = angular momentum / angular velocity

Answer:

Gravity

Explanation:

That's easy because gravity is the only thing that can pull us down that hard at that fast without anything helping it.

a. The shift of the LM curve to the left occurs due to a decrease in the money supply or an increase in the demand for money.

b. Two reasons for a steep IS curve are High Investment Demand and Inflexibility in Investment.

The LM curve shows the various combinations of interest rates and income that bring about the equality of the supply and demand for money.

Below are three reasons for the leftward shift of the LM curve:

1. Decrease in Money Supply: The leftward shift of the LM curve can occur if the money supply decreases. This causes the interest rates to rise because the demand for money is greater than the supply.

2. Increase in Money Demand: An increase in the demand for money can lead to a leftward shift of the LM curve. This happens when people want to hold more money than is available in the economy, and the interest rate rises as a result.

3. Increase in Prices: An increase in prices causes a leftward shift of the LM curve. This is because, at higher prices, people need more money to conduct their transactions, and an increase in the money supply is required to keep the interest rate constant.

Now, moving on to the steep IS curve:

1. High Investment Demand: A steep IS curve may occur if there is high investment demand. This happens when businesses are optimistic about the future and invest more, causing the demand for credit to increase and the interest rates to rise.

2. Inflexibility in Investment: A steep IS curve can also be caused by inflexibility in investment. This occurs when businesses are unwilling to change their level of investment due to economic conditions, and any changes in the interest rates have a significant effect on investment and output levels.

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Explanation:

We'll use the free fall formula, which is,

y = 0.5*g*t^2

where

In this case,

Note: The freefall assumes the object is not thrown down, and simply dropped (so initial velocity is 0).

So,

y = 0.5*g*t^2

y = 0.5*10*4^2

y = 0.5*10*16

y = 5*16

y = 80

The object has fallen about 80 meters. This value is approximate because g = 10 is approximate. Use g = 9.81 for a more accurate value (though even then this value of g isn't exact either). In this case, your teacher has opted to use g = 10.

Another reason why 80 meters is an approximate value is because we haven't accounted for air resistance. As the object falls through the air, the air particles push up and resist the movement of the falling object, and therefore slow it down. Think of a parachute. For entry level physics courses, you'll ignore air resistance as it greatly complicates the problem. Though it's handy to keep it in mind for later physics courses down the road.

Answer: two, wobble, eclipsing

Explanation: I am watching the video now

Answer:

Two Wobble eclipsing

Explanation:

I got it right on the Assignment. :)

Answer:

Michael

Explanation:

The output torque of the second gear will be 3000 lb-ft.

Gear is a toothed wheel or cylinder that is used to transmit rotational force or motion from one component to another. Gears are commonly used to change the speed or direction of a rotating force, increase or decrease torque, and to alter the amount of force between two components. Gears are found in many everyday machines, including cars, bicycles, clocks, and other machines.

The torque of the other gear is determined by the gear ratio.  If the gear ratio is 3:1, then the output torque of the second gear will be \(\frac{ 1000 lb-ft}{3} = 333.3 lb-ft.\)

If the gear ratio is 1:3, then the output torque of the second gear will be\(1000 lb-ft*3 = 3000 lb-ft\)

Therefore,then the output torque of the second gear will be 3000 lb-ft.

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Answer:

Yes, his claim is valid

Explanation:

mechanical advantage of an inclined plane = IMA = L/h

By lengthening L, you increase the IMA.

Also, IMA = Output force / Input force

Input force is less on a "shallow" inclined plane.  Work = Fd, so if F is lower, Work is lower.  The height (d) doesn't change, just the length of the ramp and the angle of the ramp.  

For the student that walks to the right 25 m in 15 s and then turns and walks to the left 15 m in 8.0 s, we have:

1. The average speed is 1.74 m.

2. The average velocity is 1.42 m.

1. The average speed is an scalar wich is given by:

\( V = \frac{d_{t}}{t_{t}} \)

Where:

\(d_{t}\): is the total distance

\(t_{t}\): is the total time

The total distance and the total time can be calculated as follows:

\(d_{t} = d_{1} + d_{2} = 25 m + 15 m = 40 m \)

\( t_{t} = t_{1} + t_{2} = 15 s + 8.0 s = 23 s \)

Since V is a scalar, the direction of motion is not important to calculate the final value.

Then, the average speed is:

\( V = \frac{d_{t}}{t_{t}} =\frac{40 m}{23 s} = 1.74 m/s \)

2. The average velocity is a vector, so the direction of motion is important here. This ΔV can be calculated with the following equation:

\( \Delta V = \frac{\Delta x}{\Delta t} = \frac{x_{f} - x_{i}}{t_{f} - t_{i}} \)

Where:

x: is the displacement  

f: is for final and i: is for initial

Hence, the average velocity is:

\( \Delta V = \frac{x_{f} - x_{i}}{t_{f} - t_{i}} = \frac{15 m - 25 m}{8.0 s - 15 s} = 1.42 m/s \)

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Answer:

P V = N R T        describes an ideal gas

T2 / T1 = P2 V2 / (P1 * V1) = 4

T1 = 273 + 10 = 283        initial absolute temperature of gas

One way organisms with similar niches reduce competition when they are found in the same ecosystem is by resource partitioning.

One example of resource partitioning is when two species of birds foraging together feed on different resources; one eats insects on tree trunks while the other eats insects in the outer branches.

Resource partitioning, which helps prevent rivalry in an ecological niche, is the division of scarce resources among species.

Two similar species employ mostly non-overlapping resources as a result of this type of evolution, and as a result, they occupy different niches. Because there is less direct rivalry between the species as a result of this resource partitioning, the species can coexist.

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It is possible to suspend an object at rest from its center of gravity, and gravity won't induce it to begin rotating no matter how it is positioned.  

Thus, The center of gravity of an object will be located somewhere along a vertical line that passes through the point of suspension if you suspend it from any point and allow it to come to rest.

The gravitational acceleration is (almost) constant near the surface of the earth, where the center of mass also lies.

A place that represents the average or typical location of an object's mass, as if all of the mass were contained there, is known as the center of mass (CM). The geometric center of a uniform sphere serves as its center of mass. The barycenter is another name for the CM.

Thus, It is possible to suspend an object at rest from its center of gravity, and gravity won't induce it to begin rotating no matter how it is positioned.  

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Answer:

600

Explanation:

Answer:They have 10

Explanation:

Answer:

please help

Explanation:

Answer:

To find the y-component of the second car's initial velocity, we can use the principle of conservation of momentum. This principle states that the total momentum of a system remains constant unless there is an external force acting on the system.

In this case, we can consider the two cars as a system, and we can use the principle of conservation of momentum to find the y-component of the second car's initial velocity.

We can write the equation for conservation of momentum as follows:

m1v1 + m2v2 = (m1+m2)*v

Where:

m1 is the mass of the first car (1210 kg)

v1 is the velocity of the first car (15.2 m/s, NE at 45.0°)

m2 is the mass of the second car (1540 kg)

v2 is the velocity of the second car (the unknown we are trying to find)

v is the velocity of the system after the collision (23.3 m/s, E at 0°)

We can use this equation to solve for the y-component of the second car's initial velocity (v2). First, we need to express the velocities in the x and y directions.

For the first car, we have:

v1x = v1 * cos(45°) = 15.2 m/s * cos(45°) = 10.6 m/s

v1y = v1 * sin(45°) = 15.2 m/s * sin(45°) = 10.6 m/s

For the second car, we have:

v2x = v2 * cos(0°) = v2 * 1 = 0 m/s

v2y = v2 * sin(0°) = v2 * 0 = 0 m/s

For the system after the collision, we have:

vx = v * cos(0°) = v * 1 = 23.3 m/s

vy = v * sin(0°) = v * 0 = 0 m/s

Now we can substitute these values into the equation for conservation of momentum and solve for v2y:

m1v1x + m2v2x = (m1+m2)vx

1210 kg * 10.6 m/s + 1540 kg * 0 m/s = (1210 kg + 1540 kg) * 23.3 m/s

12776.6 kgm/s + 0 kgm/s = 2750 kg * 23.3 m/s

12776.6 kgm/s = 2750 kg * 23.3 m/s

m1v1y + m2v2y = (m1+m2)vy

1210 kg * 10.6 m/s + 1540 kg * v2y = (1210 kg + 1540 kg) * 0 m/s

12776.6 kgm/s + 1540 kg * v2y = 0 kgm/s

12776.6 kgm/s = -1540 kg * v2y

v2y = -12776.6 kg*m/s / 1540 kg

v2y = -8.28 m/s

Therefore, the y-component of the second car's initial velocity is approximately -8.28 m/s.

Explanation:

Answer:

For example, if the body rotates around a circle of radius r at 360o, then the angular displacement is found by the distance traveled around the circumference. This is found by 2πr, divided by radius θ = 2πr/r. In simplistic terms, it can be denoted as θ=2π, where 1 revolution is 2π radians.

Explanation:

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The transformer is step-up because output voltage has higher value.

We need to know about the transformer to solve this problem. Transformer is a device that can increase or reduce the voltage. The changed voltage depends on the current and number of coil turns. It can be written as

Vi / Vs = Ni / Ns = Is / Ii

where Vi is input voltage, Vs is output voltage, Ni is primary turn, Ns is secondary turn, Is i output current and Ii is input current.

From the question above, we know that

P = 78 W

Vs = 14 V

Ii = 34 A

Find the input voltage by using the power of transformer

P = Ii . Vi

78 = 34 . Vi

Vi = 2.29 V

As we know the input voltage is lower than the output voltage. It means that the transformer is included to step up transformer.

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At the specified rate of change in angular velocity, the rotating wheel's angular acceleration is equal to 0.21 rad/s2.

As the rate at which angular velocity changes over time, angular acceleration is defined. It is often stated in radians per second. Accordingly, d = d t. Additionally known as rotational acceleration, angular acceleration.

In uniform circular motion, angular velocity (w), a vector quantity, equals the angular displacement (), a vector quantity, divided by the change in time (t). Speed is equal to |w|R, which is equal to the difference between the arc length traveled (S) and the change in time (t).

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When citing a website in APA format within the body of your paper, you typically include the author's last name and the publication date in parentheses. If there is no author, you can use the title of the webpage or article instead.

Here are a few examples:

Citing a website with an author:

According to Smith (2019), the study found that...

Citing a website without an author:

In a recent article ("Title of Article," 2021), it was stated that...

Citing a webpage with a group or organization as the author:

The American Heart Association (2020) recommends...

In each case, the information in parentheses should match the corresponding entry in the reference list at the end of your paper. Make sure to use the correct capitalization, punctuation, and formatting as required by APA style guidelines.

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