A bullet of mass m is fired into a block of mass M that is at rest. The block, with the bullet embedded, slides distance d across a horizontal surface. The coefficient of kinetic friction is μk.
1a.Find an expression for the bullet's speed vbullet. Express your answer in terms of the variables m, M, μk, d, and appropriate constants.
1b. What is the speed of a 8.0 g bullet that, when fired into a 12 kg stationary wood block, causes the block to slide 4.0 cm across a wood table? Assume that μk=0.20. Express your answer to two significant figures and include the appropriate units.

The Angular velocity is 1.165 rad/s.

What is horizontal force?

Horizontal force is defined as a force applied in a direction perpendicular to the horizon. There are two parts to the force applied to a body: a horizontal component as well as a vertical component. The horizontal component of a force, as its name implies, is directed parallel to the surface, while the vertical component is directed perpendicular to a position of the body. In nature, almost all moving things have both vertical and horizontal components of force.

F = 40 N
m= 10 kg = 98.1 N
r= 0.3 m
Circumference of circle = 1.884 m
The Centre of the circle moves 1.884 m then the angle of rotation is 360
Applying the circle arc length formula (s = r θ)
s= 3 -1.884 = 1.116m
θ= 2310
F = m x v2 /r
V = sqrt(F x r/m)
= sqrt(40 x 0.3 / 98.1)
= 0.35 m/s
Angular velocity ω,
= v/r
= 0.35/0.3
=1.165 rad/s

Hence, the angular velocity is 1.165 rad/s

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The average acceleration is 2.33 m/s². the total distance traveled is 1.5 meters, and the total time taken is 0.84 seconds. The average velocity of the object during this period of motion is approximately 1.79 m/s.

The average acceleration of the object can be calculated by dividing the change in velocity by the distance traveled. In this case, the object started from rest and reached an instantaneous velocity of 3.5 m/s over a distance of 1.5 m. The change in velocity is 3.5 m/s - 0 m/s = 3.5 m/s. Therefore, the average acceleration is 3.5 m/s divided by 1.5 m, which equals 2.33 m/s².

distance = (initial velocity × time) + (0.5 × acceleration × time²). Given that the initial velocity is 0 m/s, the distance is 1.5 m, and the average acceleration is 2.33 m/s², we can solve for time. Rearranging the equation, we have 1.5 m = 0.5 × 2.33 m/s² × time². Solving for time, we find that it took approximately 0.84 seconds for the object to travel 1.5 meters. In this case, the total distance traveled is 1.5 meters, and the total time taken is 0.84 seconds. Therefore, the average velocity is 1.5 m divided by 0.84 s, which equals approximately 1.79 m/s.

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Answer:

from spectral lines astronomers Can determine

A modulo-24 counter circuit needs at least five D flip-flops to count up to 24.

A modulo-24 counter circuit needs at least 5 D flip-flops. A D flip-flop, also known as a data or delay flip-flop, is a type of flip-flop that stores the value of the data input.

In a modulo-n counter, the counter's output will change state only when n pulses have been received. In other words, the counter cycles through n states before returning to its original state. For a modulo-24 counter, this implies that there will be 24 states before it repeats the original state.

The state diagram of the modulo-24 counter can be represented as follows:As a result, 24 is equivalent to 11000 in binary. Since there are five digits in 11000, the modulo-24 counter will require at least five D flip-flops.The main answer is that a modulo-24 counter circuit needs at least 5 D flip-flops.

In digital electronics, a counter circuit is used to generate binary numbers using a clock pulse. A counter circuit is a collection of flip-flops that are connected together to form a sequential circuit.

A sequential circuit is a circuit in which the output is dependent on the input and the state of the circuit. There are two types of sequential circuits: synchronous and asynchronous.In synchronous sequential circuits, the output is dependent on the input and the state of the circuit, and the clock is used to synchronize the operation of the flip-flops. The clock pulse controls the operation of the flip-flops.

The flip-flops are triggered at the rising or falling edge of the clock pulse.In asynchronous sequential circuits, the output is dependent on the input and the state of the circuit, but the clock is not used to synchronize the operation of the flip-flops. Instead, the flip-flops are triggered by the output of other flip-flops or external signals.In a counter circuit, the number of flip-flops required depends on the modulus of the counter.

The modulus is the number of states in the counter. For example, a modulus-16 counter has 16 states. A modulus-24 counter has 24 states. A modulus-32 counter has 32 states.A D flip-flop is a type of flip-flop that stores the value of the data input. In a counter circuit, the D flip-flops are used to store the count. The output of the counter is taken from the outputs of the flip-flops.

The conclusion is that a modulo-24 counter circuit needs at least five D flip-flops to count up to 24.

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Answer:

v = 26.54 m/s

Explanation:

Given that,

The mass of a hockey puck, m = 0.21 kg

The kinetic energy of the hockey puck, E= 74 J

We need to find the speed of the hockey puck. Let the speed is v. We know that, the kinetic energy is given by :

\(E=\dfrac{1}{2}mv^2\)

Where

v is the speed

So,

\(v=\sqrt{\dfrac{2E}{m}} \\\\v=\sqrt{\dfrac{2\times 74}{0.21}} \\\\v=26.54\ m/s\)

So, the speed of the hockey puck is 26.54 m/s.

Answer:

dfvgxbcjnhmv,kbl

Explanation:

fvgbnhjmk

A spring that obeys Hooke's Law has an unstretched length of 10 cm. A load of 20 N is hung from the spring. The new length of the spring is 36 cm, then the spring constant k of the spring would be 0.77 N/ cm.

The spring constant is used to define the stiffness of the spring, the greater the value of the spring constant stiffer the spring and it is more difficult to stretch the spring.

Relation between force and the spring constant,

F = - Kx

F= 20 N and

x = 36 -10

  = 26 cm

K = F/x

  =20/26 N/ cm

  =0.77 N / cm

Thus, the spring constant for the spring is 0.77 N/ cm, therefore the correct answer is option B.

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Answer:

Golfer B hits his golf ball at a higher rate of speed and with more force. This means that golfer B's ball will travel for a longer period of time and a longer distance due to newtons first law, where it says an object in motion stays in motion, with the same speed and in the same direction.

Explanation:

Answer:

a_AV - 15 m/s – 36 m/s =-70 m/s2. At. 3.0 s.

Explanation:

The average acceleration of the car as it slows down is  -5 m/s².

Given is a race car that slows down from 36 m/s to 15 m/s in 3 seconds.

initial velocity [u] = 36 m/s

final velocity [v] = 15 m/s

time taken [Δt] = 3 s

We can calculate the acceleration as follows -

a = Δv/Δt

a = (v - u) / Δt

a = (15 - 30)/3

a = -15/3

a = -5 m/s²

Therefore, the average acceleration of the car as it slows down is

-5 m/s².

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Answer:

La ecuación de onda lineal para una función f(x, t) se escribe como:

\(\frac{d^2f}{dt^2} = c^2*\frac{d^2f}{dx^2}\)

Donde c es una constante que depende de la velocidad de propagación de la onda.

En este caso, tenemos:

\(f(x) = A*e^{-i*(k*x - w*t + \phi)}\)

Recordar que la derivada de la exponente es tal que:

\(k(x,y) = A*e^{c*x + n*y}\\dk/dx = c*A*e^{c*x + n*y}\)

Entonces las derivadas de f van a ser:

\(\frac{df}{dt} = (i*w)*f(x)\)

\(\frac{d^2f}{dt^2} = (i*w)^2*f(x) = -(w)^2*f(x)\)

\(\frac{df}{dx} = (-i*k)*f(x)\)

\(\frac{d^2f}{dx^2} = (-i*k)^2*f(x) = -k^2*f(x)\)

Entonces podemos reescribir la ecuación de onda como:

\(\frac{d^2f}{dt^2} = c^2*\frac{d^2f}{dx^2}\)

\(-(w)^2*f(x) = c^2*(-k^2*f(x))\)

Ahora podemos simplemente definir c^2 = (w/k)^2 y vemos que la ecuación de onda se cumple.

By studying the patterns of seismic waves recorded on seismograms, scientists can learn more about the subsurface structure of the Earth, allowing them to better understand the cause and effects of the earthquake.

Seismograms can be used to locate an earthquake in a variety of ways. Seismograms can be used to measure the arrival times of seismic waves at different locations, allowing scientists to triangulate the source of the earthquake. Seismograms can also be used to measure the magnitude of an earthquake, and to determine the type of faulting that caused the earthquake. By combining all of this information, seismologists can accurately pinpoint the location of an earthquake.

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(a) To calculate the minimum charge magnitude needed on the silk, we can use the equation for the electric force: F = qE. We know that E = 10 n/c and we can assume that the weight of the spider is acting in the opposite direction to the electric force (since it's being lifted by the electric force). Therefore, the net force on the spider is the difference between the two forces, which is equal to the electric force. The weight of the spider can be calculated by multiplying its mass (0.95 mg = 0.00000095 kg) by the acceleration due to gravity (9.81 m/s^2). Therefore, we can write the equation as:

F = qE = mg

q = mg/E

q = (0.00000095 kg)(9.81 m/s^2) / (10 n/c) = 9.5*10^-9 C

(b) To calculate the minimum number of electrons needed, we can use the charge of an electron (1.610^-19 C) and divide the minimum charge magnitude by it.

n = q/e

n = (9.510^-9 C) / (1.610^-19 C) = 5.910^9

Note: The charge is carried through the solution by the ions present in it, which in this case are sodium and chloride ions.

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Answer:

\(\huge\boxed{\sf F = 120\ N}\)

Explanation:

Firstly, we need to find the mass of the skateboard.

Using formula:

Where,

30 = m (1.5)

Divide 1.5 to both sides

30/1.5 kg = m

20 kg = m

Using the same formula.

Where,

F = (20)(6)

\(\rule[225]{225}{2}\)

If one year consists of 365 days, this is closest to x = 3.15 × 10⁷ seconds.

Given that;

Note that; there are 24 hours in a day, 1440 minutes in a day and 86400 seconds in a days.

1 day contains 86400 seconds

365 contains x seconds

x = 365 × 86400

x = 3.15 × 10⁷ seconds

Therefore, if one year consists of 365 days, this is closest to x = 3.15 × 10⁷ seconds.

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Answer:

D. circumpolar

Explanation:

A circumpolar star is a star, as viewed from a given latitude on Earth, that never sets below the horizon due to its apparent proximity to one of the celestial poles.

-Wikipedia

Answer:

Workdone = 30Nm

Explanation:

Given the following data;

Force = 10N

Distance = 3m

To find the workdone;

Workdone = force * distance

Substituting into the equation, we have

Workdone = 10 * 3

Workdone = 30Nm.

Therefore, the work involved in moving the box is 30 Newton-meter.

Explanation:

An analog signal has some feature that is a continuous function of the program material being transmitted. It may take on any of a range of values.

In radio, amplitude, frequency, or phase are features of the radio signal commonly modulated when transmitting an analog signal.

__

A digital signal has some feature that is a discrete function of the program material being transmitted. It may take on any of a specific set of values.

A digital radio signal typically uses some combination of amplitude, frequency, and phase to represent a discrete state being transmitted. Only specific values of these are used by the transmitter.

(The receiver generally has to deal with corruption of the signal by the transmission channel, so the received set of values may not correlate well with those intended at the transmitter. This is why error-correcting codes are often used with digital signal transmission.)

_____

Additional comment

Analog radio signals are generally transmitted using a carrier wave at a specific frequency (or in some specific frequency range, in the case of frequency modulation). Processing techniques may be used at the transmitter to limit the bandwidth used in the transmission. One commonly-used technique is to limit the transmitted spectrum to one side of the carrier wave frequency. (This is called "single side-band" radio.)

Digital signals offer the opportunity to transmit different bits of the information at different frequencies. Sometimes, "frequency hopping" is used, so that the transmitted carrier wave jumps around from one frequency to another in a predetermined pattern. The effect of this is to spread out the spectrum of the transmitted signal so that average power in any frequency band is significantly reduced. In fact, it may be indistinguishable from background noise, except by a receiver that tunes to the carrier wave in the predetermined frequency pattern.

Answer:

Temperature T2 = 237.5 K

Explanation:

Given:

Volume = 35 ml

T1 = 285 k

P1 = 150 pa

P2 = 125 pa

Find:

Temperature T2

Computation:

P1V/T1 = P2V/T2

150(35) / 285 = 125(35) / T2

Temperature T2 = 237.5 K

Answer:

The bowling ball did not change size or shape- the only thing that changed was the amount of gravity that pulls on it. But the mass of the bowling ball would never change. A bowling ball with a mass of 12 pounds on earth will have the mass of 12 pounds on the moon! Mass is the amount of atoms that a space fills.

Explanation:

I hope this helps! :D

The final velocity of the combined mass of the fullback and the two linebackers is 4.09 m/s.

To find the velocity of the combined mass of the fullback and the two linebackers, we need to use the principle of conservation of momentum. This principle states that the total momentum of an isolated system remains constant if no external forces act on it.

First, we need to find the initial momentum of the fullback by multiplying his mass (90 kg) by his velocity (5.0 m/s):

Initial momentum of fullback = 90 kg * 5.0 m/s = 450 kg m/s

Next, we need to find the initial momentum of the two linebackers by multiplying each of their masses by their velocities:

Initial momentum of first linebacker = 73 kg * 3.0 m/s = 219 kg m/s

Initial momentum of second linebacker = 73 kg * 4.0 m/s = 292 kg m/s

Now, we need to add the initial momentum of the three individuals to find the total initial momentum:

Total initial momentum = 450 kg m/s + 219 kg m/s + 292 kg m/s = 961 kg m/s

Since the final velocity of the combined mass is going to be the same as the initial momentum, we can say:

Final velocity = 961 kg m/s / (90 kg + 73 kg + 73 kg) = 961 kg m/s / 236 kg = 4.09 m/s

Therefore, the final velocity of the combined mass of the fullback and the two linebackers is 4.09 m/s.

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Answer:

60cm

Explanation:

30+30=60

After watching the Ted Talk, there were still a few questions that I had about supermassive black holes. Firstly, I wanted to know more about the event horizon and what it exactly entails. Although the speaker briefly touched upon this subject, I would have appreciated a more in-depth explanation. Additionally, I would have liked to know more about the role of supermassive black holes in the universe.

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he competencies proposed by the National Communication Association (NCA) for college-level public speaking include: students being able to apply critical thinking skills to interpret messages, use communication to embrace difference, and influence public discourse.

The National Communication Association (NCA) has defined several competencies that students should exhibit after completing a college-level public speaking course.

These competencies encompass a range of skills and abilities related to effective communication. Firstly, students should be able to apply critical thinking skills to interpret messages.

This means they should be capable of analyzing and evaluating the content, structure, and context of communication, allowing them to form reasoned judgments and interpretations.

This competency enables students to comprehend and engage with diverse messages encountered in various settings. Secondly, students should be able to use communication to embrace difference.

This competency emphasizes the importance of understanding and valuing diverse perspectives, cultures, and identities. It involves developing the ability to communicate effectively with individuals from different backgrounds and fostering inclusivity and respect in interactions.

By embracing difference, students enhance their communication skills and contribute to building a more inclusive and equitable society.Lastly, students should be able to influence public discourse. This competency highlights the power of public speaking to shape conversations, attitudes, and actions.

It involves developing persuasive and influential communication strategies to articulate ideas, advocate for causes, and participate actively in public discussions.

By mastering this competency, students become effective communicators who can contribute meaningfully to public discourse and positively impact society.

In summary, the competencies proposed by the NCA for college-level public speaking encompass the ability to apply critical thinking skills, use communication to embrace difference, and influence public discourse.

These competencies aim to equip students with essential skills for effective communication in diverse contexts and enable them to make a meaningful impact through their speech.

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The definition of eccentricity allows us to find that the answer for the distance to the focus is

             c = 4.6 10⁶ km

The orbit of the plants without ellipses, where the eccentricity is the ratio between the distance to the focus and the major axis  

                e = \(\frac{c}{a}\)

Where e is the eccentricity, c the distance to the focus and a the major axis

In this case they indicate the value of the eccentricity e = 0.92 and the value of the major axis a = 5 10⁶ km

              c = e a

Let's calculate

              c = 0.92 5 10⁶

              c = 4.6 10⁶ km

In conclusion using the definition of eccentricity we can calculate the distance to the focus is

             c = 4.6 10⁶ km

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Answer:

4,600,000 km

Explanation:

The head-to-tail method consists of changing the subtraction of vectors into an addition, where the second vector in the addition will be the opposite vector of the second vector in the subraction:

If vector b is <1, 4>, vector -b is <-1, -4> (we just need to change every signal).

Now, let's draw vector 'a', and in the head of vector 'a' let's start drawing the tail of vector b:

The red vector, which is the sum of 'a' and '-b', is created at the tail of 'a' and finishes at the head of '-b'.

The initial point is (0, 0), and the terminal point is (-4, -9)

Answer:

In mine I said to build the boat accordingly based on what is going to be in it

Explanation:

just remember the density of the boat cannot change but the volume and the mass can

The pull of gravity keeps planets in their orbits around the Sun. Only gravity keeps us on the surface of the Earth. Measurable characteristics of planets include their size, mass, density, and composition.

the solar system's gravitational force brought on by the sun.

The only planet smaller than Mars in the Solar System is Mars, which is the fourth planet from the Sun. Mars bears the name of the Roman god of war in the English language.

Mars, the fourth planet from the Sun, is a cold, arid, dusty place with a tenuous atmosphere. Mars is a dynamic planet as well, with seasons, ice caps, canyons, volcanoes, and indications that it once experienced greater levels of activity.

The Sun, our star, and everything gravitationally attached to it, including the planets Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune; dwarf planets like Pluto; dozens of moons; and millions of asteroids, comets, and meteoroids, make up our solar system.

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The five points (all from science) to back the second premise up (The universe began to exist) are:

Einstein's theory of General Relativity

Galaxy seeds

Second Law of Thermodynamics

Expanding universe

Radiation echo

What is thermodynamics?

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Answer:

The answer is -3.34 m/s^2.

Explanation:

I used another brainly question to help me find the answer. It was pretty similar to this one so yeah. Good luck to you nonetheless.

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