A uniform disk of 10 kg and radius 4.0 m can rotate in a horizontal plane about a vertical axis through its center. The disk is rotating at an angular velocity of 15 rad/s when a 5-kg package is dropped vertically on a point that is 2.0 m from the center of the disk. What is the angular velocity of the disk/package system

The height of the tower is 20.41 m.

To determine the height of the tower, we need to understand the concept of the energy conservation principle since the speed and acceleration due to gravity are involved in the system.

The principle of energy conservation lets us know that in an isolated system, energy can neither be created nor destroyed.

\(\mathbf{mgh = \dfrac{1}{2}mv_1^2 = \dfrac{1}{2}mv_2^2}\)

By applying the energy conservation principle, we have:

\(\mathbf{gh +\dfrac{1}{2}v_1^2 = \dfrac{1}{2}v_2^2}\)

\(\mathbf{h = \dfrac{v_2^2- v_1^2 }{2 \times g}}\)

\(\mathbf{h = \dfrac{25^2-15^2 }{2 \times 9.8}}\)

h = 20.41 m

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Explanation:

For electromagnetic waves    c = wavelength * frequency

 c = speed of light = 3 x 10^8 m/ s

                                    3 x 10^8 m/s = wl * 33 x 10^9  Hz

                                        wl = .009 m      ( or  9 mm)

If a radar signal that has a frequency of 33 GHz, Then the wavelength of the radar signal is  9 mm.

Wavelength is a fundamental concept in the study of waves, which are disturbances that propagate through space or a medium. It is defined as the distance between two consecutive points in a wave that are in phase, meaning that they have the same position in their respective cycles.

In other words, the wavelength is the spatial period of a wave, which is the distance over which the wave repeats itself. It is commonly represented by the Greek letter lambda (λ) and is measured in meters (m), although it can also be expressed in other units such as nanometers (nm) or micrometers (μm).

Wavelength is a key property of waves, as it determines many of their characteristics and behavior. For example, the wavelength of an electromagnetic wave (such as light or radio waves) determines its color or frequency, and thus its energy and ability to interact with matter. Similarly, the wavelength of a sound wave determines its pitch, and thus its perceived tone and musical quality.

The relationship between wavelength, frequency, and velocity is described by the wave equation, which states that the velocity of a wave is equal to the product of its wavelength and frequency. This relationship is important for understanding how waves behave and interact with their environment, such as when they are reflected, refracted, or diffracted.

So, the wavelength is a crucial concept in the study of waves, as it defines their properties and behavior. It is the distance between two consecutive points in a wave that are in phase, and is measured in meters or other units. The relationship between wavelength, frequency, and velocity is described by the wave equation, which is fundamental to the study of waves in various fields such as physics, engineering, and communication.

Here in the Question,

The wavelength of a radar signal can be calculated using the formula:

wavelength = speed of light/frequency

where the speed of light is approximately 3 x 10^8 meters per second.

Plugging in the given frequency of 33 GHz (33 x 10^9 Hz), we get:

wavelength = 3 x 10^8 / (33 x 10^9)

wavelength = 0.009090909... meters

Therefore, By rounding to the nearest millimeter, the wavelength of the radar signal is approximately 9 mm.

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The efficiency of motor is 90.58%.To determine the efficiency of the motor, we need to calculate the input power and the output power, and then divide the output power by the input power

The input power can be calculated using the formula:

Input Power = Voltage × Current

Given that the voltage is 230 V and the current is 24 A, we have:

Input Power = 230 V × 24 A

Input Power = 5520 W (or 5.52 kW)

The output power of the motor is given as 5 kW (since it is a 5 kW motor).

Now, we can calculate the efficiency:

Efficiency = (Output Power / Input Power) × 100%

Efficiency = (5 kW / 5.52 kW) × 100%

Efficiency ≈ 90.58%

Therefore, the efficiency of this motor is approximately 90.58%.

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The spring stores 0.5 joules of elastic potential energy when stretched by 0.5 meters.

What is Potential Energy?

It is a form of energy that is stored in an object and has the potential to do work. The amount of potential energy depends on the position, shape, and orientation of the object. The most common types of potential energy are gravitational potential energy, elastic potential energy, and chemical potential energy.

The elastic potential energy stored by a spring is given by the formula:

Elastic potential energy = 1/2 * spring constant * (extension)^2

where the spring constant is measured in Newtons per meter (N/m), and the extension is measured in meters (m).

Given that the spring constant is 2 N/m and the extension is 0.5 m, we can plug these values into the formula:

Elastic potential energy = 1/2 * 2 N/m * (0.5 m)^2

= 0.5 J

Therefore, the spring stores 0.5 joules of elastic potential energy when stretched by 0.5 meters.

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Yes it can, an object can be moving a certain direction while the ACCELERATION is in the opposite direction.

Lets say your riding a bike... if your squeezing your handle bar breaks, the acceleration of the bike would be pushing in the opposite direction of the direction the bike is moving.

Hope this helped!

- The resistance of the first resistor (R₁) is 12 Ω.

- The electromotive force (EMF) of the battery is 18 V.

- The internal resistance of the battery is 12 Ω.

To solve the given problem, we can apply Kirchhoff's laws and Ohm's law to determine the resistance of the first resistor (R₁) and the electromotive force (EMF) and internal resistance of the battery.

Let's start by calculating the resistance of the first resistor (R₁):

1. Apply Ohm's law to find the voltage drop across the external circuit:

  V = I * R

  V = 1 A * 6 Ω

  V = 6 V

2. The voltage drop across the external circuit is equal to the EMF minus the voltage drop across the internal resistance of the battery:

  V = E - Ir

  6 V = E - (1 A * r)   (where r is the internal resistance of the battery)

3. We also know that the EMF of the battery is the sum of the voltage drops across each cell in the battery:

  E = 6 cells * 3 V/cell

  E = 18 V

4. Substitute the value of E in the equation from step 2:

  6 V = 18 V - r

  r = 12 Ω

Therefore, the resistance of the first resistor (R₁) is 12 Ω.

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 M2 = 0.665 kg

The mass of other object is 0.665 kg

To solve this, we must apply Newton's law of universal gravitation, which states that the force of gravity between two massive bodies 1, 2, is proportional to their masses M1 and M2 and inversely proportional to the square of the distance d between them:

        F = (GM1M2) / D²

 Here G = 6.67 × 10⁻¹¹ Nm²/kg²

           F = 50×10⁻¹⁰N

           M1 = 2.00kg

            D = .20 m

by substituting values ,

               50×10⁻¹⁰N =(( 6.67 × 10⁻¹¹ Nm²/kg²)(2.00kg)M2) / (.20 m)²

                50×10⁻¹⁰ = 1.334 × 10⁻¹⁰ M2 /( .20)²

                (50×10⁻¹⁰) (.20)² = 1.334 × 10⁻¹⁰ M2

                 2 ×10⁻¹⁰ = 1.334 × 10⁻¹⁰ M2

                 M2 = 1.334 × 10⁻¹⁰ / 2 ×10⁻¹⁰

                 M2 = 0.665 kg

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Answer: A

Explanation:

The answer is that the time the diver was in the air is 1.13 seconds.

To determine the time the diver was in the air, we can use the kinematic equation:

Δy = viΔt + 1/2at²,

where Δy is the displacement, vi is the initial velocity, a is the acceleration due to gravity (g), and t is the time.The initial velocity, vi, is given as 5.5 m/s, and since the diver jumps upwards, the displacement, Δy, is equal to the height of the board, which is 3.0 m. The acceleration due to gravity, a, is -9.8 m/s² (negative because it acts downwards).Substituting the known values into the equation:3.0

m = (5.5 m/s)t + 1/2(-9.8 m/s²)t²

Simplifying, we get:

4.9t² + 5.5t - 3.0 = 0

We can solve for t using the quadratic formula:

t = (-5.5 ± √(5.5² - 4(4.9)(-3.0))) / (2(4.9))= (-5.5 ± 1.59) / 9.8= -0.47 s or 1.13 s

Since time cannot be negative, the time the diver was in the air is 1.13 seconds.

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The correct option O frequency.  Waves change in amplitude, wavelength, velocity, and intensity as they go through different media, but not in frequency.

The waves that must pass through a medium like air or water are referred to as mechanical waves.

Thus, waves change in amplitude, wavelength, velocity, and intensity as they go through different media, but not in frequency.

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Answer:

(Question)  Which measure does not change when a wave moves from one medium to another?

(Answer)  frequency

(Question)  Water waves approaching the shore will slow down. Which statement describes another change that occurs?

(Answer)  The wavelength decreases.

(Question)  As a wave travels from one medium to another, its wavelength triples. Which statement describes the speed and frequency in the new medium?

(Answer)  The speed will triple, and the frequency will stay the same.

(Question)  Sonar systems used in water send out sound waves that reflect off the environment and then are detected. As water gets denser, the speed of sound in water increases. What would happen to the wavelength of a sonar wave as it moves into water with a 5% higher speed of sound?

(Answer)  The wavelength would increase by 5%.

(Question)  An earthquake sends seismic waves outward from the epicenter. The waves travel through different media in different directions. What will be true for all people who feel the earth shaking?

(Answer)  The earth will rise and fall with the same frequency.

Explanation:

I just did the quick check

Answer:

A protractor to measure the angle of the inclined plane with the horizontal

Explanation:

The student needs to lift the free end of the adjustable inclined plane until the object barely starts sliding, and measure the angle at which such happens. At that point, the force of friction equals the component of the weight in the direction of the incline. That is:

\(f=\mu\,* N = \mu * m g\, cos(\theta)\)

and  \(w_{//}= m\,g\,sin(\theta)\)

Then  

\(f = w_{//}\\\mu *\,m \,g\,cos(\theta) = m\,g\,sin(\theta)\\\mu = tan(\theta)\)

and therefore, the coefficient of static friction is fully determined just by calculating the tangent of the angle that the incline forms with the horizontal.

Then the only extra instrument needed is a protractor to measure the angle.

Answer:

at the end of its first second of fall

Explanation:

Can I have brainliest

Answer:

The amplitude of the induced emf is  \(\epsilon_a = 2.45*10^{-4}\ V\)

Explanation:

From the question we are told that

  The area is  \(A = 8.8 \ mm^2 = 8.8 *10^{-6} \ m\)

  The number f turns per cm is  \(N = 818 \ turn/cm = 81800 \ turn /m\)

    The current is  \(I = 1.28 \ A\)

    The angular frequency is  \(w = 212 \ rad /s\)

Generally the amplitude of the  induced emf is mathematically represented as

        \(\epsilon_a = \mu_o * N * I * w * A\)

Where  \(\mu_o\) is the permeability of free space with value  \(\mu_o = 4\pi * 10^{-7} N/A^2\)

=>     \(\epsilon_a = 4\pi * 10^{-7} * 81800 * 1.28 * 212 * 8.8*10^{-6}\)

        \(\epsilon_a = 2.45*10^{-4}\ V\)

As per the given scenario, in this case, the coefficient of friction () is half and the coefficient of restitution (e) is zero.

Identify the body's starting velocity:

We may use the equation of motion to get the body's initial velocity (u)

\(v^2 = u^2 + 2as\)

\(0 = u^2 + 2(-9.8)m/s^2 * h\)

\(u^2 = 19.6h\)

u = √(19.6h)

The body's initial velocity (u) and initial relative velocity (u_rel) are the same.

The body's horizontal velocity immediately following the collision, which is zero, is the final relative velocity (v_rel).

\(e = v_{rel }/ u_{rel}\)

e = 0 / u_rel = 0 / u

Now, one can investigate the forces affecting the body: When a body is on an inclined plane.

There are two main forces at work on it: the frictional force that prevents the body from moving and the gravitational force that pulls it downward (mg).

The gravitational force has two components that act perpendicular to and parallel to the inclined plane, respectively: m*g*cos(45°) and m*g*sin(45°).

Determine the conditions for the body to stop:

μ * N = m * g * sin(45°)

μ * (m * g * cos(45°)) = m * g * sin(45°)

μ * cos(45°) = sin(45°)

(1/2) * cos(45°) = sin(45°)

Simplifying further, we have:

√2 / 4 = √2 / 2

Thus, the body will come to rest following the collision if the equation is valid.

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The acceleration of the bucket of mass 2.8 kg which is lifted upwards with a force of 34 N is 12.14 m / s²

According to Newton's second law of motion,

F = m a

F = Force

m = Mass

a = Acceleration

F = 34 N

m = 2.8 kg

a = F / m

a = 34 / 2.8

a = 12.14 m / s²

Acceleration is the rate of change of velocity of an object with respect to time. It is denoted as a.

Therefore, the acceleration of the bucket is 12.14 m / s²

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First option is correct.Larry the Rock is going through Static Equilibrium.

In this situation, Larry is at rest and remains stationary despite the forces acting on him. While David and Pancho are exerting equal forces from opposite sides, their forces cancel each other out, resulting in a net force of zero. As a result, Larry does not move or experience any acceleration.

Static equilibrium occurs when an object's forces and torques balance each other, leading to a stable, balanced state. In this case, the forces exerted by David and Pancho are equal in magnitude and opposite in direction, creating a condition where the resultant force is zero. As a result, Larry remains in a state of rest, unable to experience any movement or acceleration.Therefore, the type of equilibrium that Larry the Rock is going through is Static Equilibrium.

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Answer:

Basic kinematics, negating drag and assuming ideal conditions, we use the equation:

d=vi*t+1/2*a*t^2

Since vi is 0 (we know this because you’re dropping it, not throwing it)…

…and the only acceleration acting on it is gravity, a=9.8 m/s^2…

…we get

d=1/2(9.8)(5)^2

Explanation:

Some quick mental math tells us that this is about 125 m.

Plugging it in, we find it to be 122.5 m.

The slope of the graph is 0.5 m/s² and when t = 1.5 s, the predicted displacement (d) of the object is 0.75 meters.

To plot the velocity vs. time graph, we'll use the given data points:

Duration, At (s): 2.0, 4.0, 6.0, 8.0, 10.0, 12.0

Velocity, v (m/s): 6.0, 7.0, 8.0, 9.0, 10.0, 11.0

Let's plot these points on a graph:

Time (s) [x-axis] | Velocity (m/s) [y-axis]

--------------------------------------------

2.0               | 6.0

4.0               | 7.0

6.0               | 8.0

8.0               | 9.0

10.0              | 10.0

12.0              | 11.0

After plotting the points, we can connect them with a straight line to represent the motion of the object. This line represents the velocity vs. time relationship.

Now, let's calculate the slope of this line. The slope of a line represents the rate of change of the dependent variable (velocity) with respect to the independent variable (time). In this case, it gives us the acceleration of the object.

Using the formula for calculating the slope of a line:

Slope (k) = (Change in velocity) / (Change in time)

For the first two points:

Change in velocity = 7.0 - 6.0 = 1.0 m/s

Change in time = 4.0 - 2.0 = 2.0 s

Slope (k) = 1.0 m/s / 2.0 s = 0.5 m/s²

Therefore, the slope of the graph is 0.5 m/s².

Now, to answer part B, the physical significance of the slope value is that it represents the object's acceleration. In this case, the constant acceleration experienced by the object is 0.5 m/s².

Moving on to part C, we are given the equation d = kt, where d represents the displacement and t represents time. Since the object is experiencing constant acceleration, the equation can be rewritten as d = 0.5t, where 0.5 is the acceleration (k).

To predict the value of "d" when t = 1.5 s, we can substitute the value of t into the equation:

d = 0.5 * 1.5 = 0.75 meters

Therefore, when t = 1.5 s, the predicted displacement (d) of the object is 0.75 meters.

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The probable question may be:

An object is subjected to a constant acceleration along a frictionless track. A student measures its velocity (v) after specific durations (At). The student uses a graph to analyze the truck's motion.

Duration, At, (s) :- 2.0,4.0,6.0,8.0,10.0,12.0.

Velocity, v, (m/s) :- 6.0,7.0,8.0,9.0,10.0,11.0

A. Plot the velocity (in meters/sec) vs. time (seconds). The velocity is the y-axis and time is the x-axis. Use any graphing software you like or graph this data in pencil on graph paper. Excel has a nice graphing package. Calculate the slope of this graph. You will

B. What is the physical significance of the slope value computed in part A?

C. Having determined the slope of the line, you can now write d = kt. Use this equation to predict a value of "d" when t = 1.5 s.

Two objects are held close together. When they are released, they move toward one another. The conclusion is supported by this evidence is  the objects have opposite charges.

An electric charge is a physical property that causes matter to experience a force when in close proximity to other electrically charged matter. There are two types of electric charges: positive and negative. Protons, which are positively charged, and electrons, which are negatively charged, are subatomic particles that make up matter.

In general, the protons and neutrons in the nucleus of an atom have a net positive charge, while electrons, which orbit the nucleus, have a net negative charge. The charges of these subatomic particles are indicated by the symbols "p" for proton, "n" for neutron, and "e" for electron.

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The eccentricity of the planet with a distance between foci is 5,000,000 km and the distance of the major axis is 299,000,000 km is 0.0167 (option A).

Eccentricity is the ratio, constant for any particular conic section, of the distance of a point from the focus to its distance from the directrix.

The eccentricity of an elliptical orbit is defined by the ratio:

e = c/a

where;

According to this question, the distance between foci is 5,000,000 km and the distance of the major axis is 299,000,000 km. The eccentricity can be calculated as follows:

e = 5 × 10⁶km ÷ 299 × 10⁶km

e = 0.0167

Therefore, 0.0167 is the eccentricity of the planet.

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Answer:

the answer is b  hydrogen atoms

Explanation:

The correct answer is D:Carbon atoms

Ethanol molecule has two carbon atoms.

A molecule can be represented in a three dimensional diagram by a ball and stick model. These models help us to conceptualize what the actual molecule looks like.

The molecule ethanol is composed of two carbon atoms, six hydrogen atoms, and one oxygen atom.

If there are two black balls in the ethanol model, they must represent carbon atoms since there are two carbon atoms.

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By using Newton law of gravitation, the weight of the object when it moves 450 km above the center of the planet is 20N

Given that the weight of an object is 180 N at a distance of 150 km above a planet's center.

F = GMm/\(r^{2}\)

F = mg = 180N

r = 150

When it moves 450 km above the center of the planet, G, M and m will be constant. only r will vary.

180 = GMm/\(150^{2}\)

Make GMm the subject of the formula

GMm = 180 x 22500

GMm = 4050000

As it moves 450 km above the center of the planet, Its weight will be

F = GMm/\(r^{2}\)

Substitute all the values and parameters

F = 4050000/\(450^{2}\)

F = 20 N

Therefore, the weight of the object When it moves 450 km above the center of the planet is 20 Newtons

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Answer:

d = 711.42 m

Explanation:

Given that,

The average velocity of a runner, v = 4.26 m/s

Time, t = 167 s

We need to find the runner's displacement.

The average velocity of an object is equal to the displacement per unit time. It can be given by :

\(v=\dfrac{d}{t}\\\\d=vt\\\\d=4.26\ m/s\times 167\ s\\\\d=711.42\ m\)

So, the runner's displacement is 711.42 m.

Answer:

B

Explanation:

it could be because they have a difference in genes

The iron rod gets magnetized when placed near a bar magnet due to magnetic induction while the copper rod does not get magnetized.

What is magnetic induction?

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Heya!!

For calculate final velocity, lets applicate formula

                                                \(\boxed{V=V_o+a*t}\)

                                                 Δ   Being   Δ

                                            V = Final Velocity = ?

                                         Vo = Initial velocity = 4,3 m/s

                                          a = Aceleration = 3 m/s²

                                                 t = Time =5 s

⇒ Let's replace according the formula:

\(\boxed{V=4,3\ m/s +3\ m/s* 5\ s}\)

⇒ Resolving

\(\boxed{V=19,3\ m/s}\)

Result:

The velocity after 5 sec is 19,3 meters per second (m/s)

For calculate distance, lets applicate formula

                                              \(\boxed{x=V_o*t+\dfrac{a*t^{2}}{2}}}\)

                                                 Δ   Being   Δ

                                               x = Distance = ?

                                         Vo = Initial velocity = 4,3 m/s

                                          a = Aceleration = 3 m/s²

                                                 t = Time =5 s

⇒ Let's replace according the formula:

\(\boxed{x=4,3 * 5 +\dfrac{3*5^{2}}{2}}}\)

⇒ Resolving

\(\boxed{x = 59 \ m}\)

Result:

The distance is 59 meters.

Good Luck!!

Answer:

k=3; l= -1.

Explanation:

1) if if m=2i-j and n= 4i+3j, then km+ln=2i-6j can be written k(2i-j)+l(4i+3j)=2i-6j;

2) after evoluation of the last expression:

i(2k+4l)+j(-k+3l)=2i-6j - it is possible to make up the system of equations:

\(\left \{ {{2k+4l=2} \atop {-k+3l=-6}} \right. \ = > \ \left \{ {{k=3} \atop {l=-1}} \right.\)

The values of k and l such that km + ln = 2i - 6j is -

k = 3 and I = -1

We have the following two vectors -

m = 2i - j

n = 4i + 3j

We have to find k and l such that km + ln = 2i - 6j

A quantity that has both magnitude and direction is a vector quantity. Example - Force, Displacement, velocity. A vector is represented in the form of its components along the three axes of the coordinate system i.e., x, y and z.

According to the question, we have -

m = 2i - j

n = 4i + 3j

and -

km + ln = 2i - 6j

k (2i - j) + l (4i + 3j) = 2i - 6j

2ik - jk + 4li + 3lj = 2i - 6j

2ik + 4li - jk + 3lj = 2i - 6j

(2k + 4l)i - (k - 3l)j = 2i - 6j

Comparing the equations on both sides, we get -

2k + 4l = 2

k + 2l = 1               (1)

and

k - 3l = 6            (2)

Now -

k + 2l = 1

k = 1 - 2l , using this value in (2), we get -

(1 - 2l) - 3l = 6

1 - 2l - 3l = 6

1 - 5l = 6

1 - 6 = 5l

-5 = 5l

l = -1

Using l = -1 , in the (1) -

k + 2 (-1) = 1

k - 2 = 1

k = 1 + 2

k = 3

Hence, the values of k and l such that km + ln = 2i - 6j is -

k = 3 and I = -1.

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Answer:

when it rains and at the same time it sunny there would appear a rainbow