suppose that at the end of its trip, the train slows to a stop from a speed of 22.9 km/h in 6.24 s. what is its average acceleration in m/s2 while stopping? input your answer in m/s2 using 3 significant figures.

The average power carried by the wave is 0.262. When amplitude is halved, the average power decreases by 4 to 0.065W.

a) The averaged power of a wave on a string is given by Pavg = 1/2 (√(µF)) A^2 w^2

According to the given data,

Mass of piano wire m = 3g = 0.00345kg

Length of piano wire l = 80cm = 0.8m

Tension F = 30 N

Frequency f = 120 Hz

Amplitude A = 1.6mm = 0.0016m

Angular frequency ω = 2πf = 2π (120) = 240π s^-1

Linear mass density μ = m/l = 0.00345/0.8 = 0.00431 kg/m

Hence,

Pavg = 1/2 (√(0.00431*30)) 〖0.0016〗^2 〖(240π)〗^2

Pavg = 0.262W

b) As the average power is always proportional to the square of amplitude, hence

Pavg1/Pavg2 = (A1/A2)^2

0.262/Pavg2 = (0.0016/0.0008)^2

0.262/Pavg2 = 4

Pavg2 = 0.065W

Note: The question is incomplete. The complete question probably is: A piano wire with mass 3.45g and length 80.0 cm is stretched with a tension of 30.0 N. A wave with frequency 120.0 Hz and amplitude 1.6 mm travels along the wire. (a) Calculate the average power carried by the wave. (b) What happens to the average power if the wave amplitude is halved.

Learn more about Averaged power:

https://brainly.com/question/24228412

#SPJ4

The gymnastic tumbler has a total kinetic energy of 0.9375 J, and 38.46% of that total kinetic energy is due to rotational motion.

What is kinetic energy?

Kinetic energy is the energy possessed by an object due to its motion. It is defined as the work required to accelerate an object of a certain mass from rest to its current velocity.

Given:

Mass of the tumbler (m) = 75 kg

Diameter of the tumbler (d) = 1.0 m

Angular velocity (ω) = 0.50 rev/s

The radius (r) of the tumbler is half of its diameter, so r = d/2 = 0.5 m.

Linear velocity (v) = ω * r

v = (0.50 rev/s) * (0.5 m)

v = 0.25 m/s

a) Total kinetic energy (K_total) of the tumbler consists of both translational and rotational kinetic energy. The translational kinetic energy (K_trans) can be calculated using the formula:

K_trans = (1/2) * m * v^2

K_trans = (1/2) * (75 kg) * (0.25 m/s)^2

K_trans = 0.9375 J

b) The rotational kinetic energy (K_rot) can be calculated using the formula:

K_rot = (1/2) * I * ω^2

I = (1/2) * m * r^2

I = (1/2) * (75 kg) * (0.5 m)^2

I = 4.6875 kg·m²

K_rot = (1/2) * (4.6875 kg·m²) * (0.50 rev/s)^2

K_rot = 0.5859 J

Percentage of rotational kinetic energy = (K_rot / K_total) * 100

Percentage of rotational kinetic energy = (0.5859 J / (0.9375 J + 0.5859 J)) * 100

Percentage of rotational kinetic energy ≈ 38.46%

Therefore, the gymnastic tumbler has a total kinetic energy of approximately 0.9375 J, and approximately 38.46% of that total kinetic energy is due to rotational motion.

To learn more about kinetic energy,

https://brainly.com/question/1135367

#SPJ4

Answer:

Strains can be acute or chronic. An acute strain is caused by trauma or an injury such as a blow to the body; it can also be caused by improperly lifting heavy objects or over-stressing the muscles. Chronic strains are usually the result of overuse--prolonged, repetitive movement of the muscles and tendons.

Explanation:

Answer:

JJJJJJJJJJJJJ

Explanation:

KKKKKK

Answer:

1.54 = sin 35/sin r

sin r = 0.57/1.54 =0.37

r = sin^-1( 0.37)

=21.7°

Answer and Explanation:

Using a = F/m, we get:

Acceleration for Road A = 480/62 = ~7.74 m/s^2

Acceleration for Road B = 240/62 = ~3.87 m/s^2

Acceleration for Road C = 600/62 = ~9.68 m/s^2

If the net force becomes higher than 600N and the mass stays constant, the acceleration will increase proportionally to how much the force increases and the acceleration will be greater than the acceleration when the force is 600N.

I hope this helps! :)

Answer:

the Force is the one created by the engines, W is the weight of the rocket and its fuel and fr is the friction force created by the air

Explanation:

Unfortunately you did not include a diagram with the point where to make the drawing, let's assume that the point is the initial launch point, just leaving the ramp.

In the attached we can see the forces on the rocket, the Force is the one created by the engines, W is the weight of the rocket and its fuel and fr is the friction force created by the air, which depends on several factors, the shape of the rocket, velocity, and air density with height

To find the maximum height of the arrow, we need to find the vertex of the quadratic function h(t)=-16t^(2)+64t. The vertex of the parabola y = a(x - h)^2 + k is (h, k), where h is the x-coordinate of the vertex and k is the y-coordinate of the vertex.

The formula for the x-coordinate of the vertex is -b/2a, where a and b are the coefficients of the quadratic equation ax^2 + bx + c = 0. In this case, a = -16 and b = 64, so the x-coordinate of the vertex is:

h = -b/2a = -64/(2*(-16)) = 2

To find the y-coordinate of the vertex, we substitute h = 2 into the function h(t) and simplify:

h(2) = -16(2)^(2) + 64(2) = 64

Therefore, the maximum height of the arrow is 64 feet, and it occurs when t = 2 seconds.

To know more about parabola refer here

https://brainly.com/question/29267743#

#SPJ11

Answer:

The answer to this question can be defined as follows:

Explanation:

Advantage:

Answer:

2 s

Explanation:

Since the car is accelerating from a stop, it has an initial velocity of 0 m/s. The acceleration of the car is 43 m/s².

We want to find the time it takes for the car to have a final velocity of 86 m/s.

We can relate all four of these variables (initial velocity, final velocity, acceleration, time) in this kinematic equation:

Substitute the known variables into the equation.

It will take the car 2 seconds to reach 86 m/s.

Answer: 2 seconds

Explanation: In physics (m/s^2) meters per second squared or meters per second per second, literally means by how many meters per second the velocity changes every second. In this case it is 43. The car moves 43 meters a second per every second. That means that the car would move 86 meters in 2 seconds, 129 in 3 seconds, and so on.

(+) In cases like this, the fastest way to find the answer is to do simple division.

86/43 = 2

(Example) Look at it this way, the car is going 45 miles per hour. How long will it take to reach 90 miles? If the car goes 45 miles per hour, that means in 2 hours it will reach 90 miles.

90/45 = 2

Simple division.

Your very welcome, let me know if you have any questions. :-)

-szimbitskyy

The Planet on its axis often contributes to the deflection created by the Coriolis force.

Moving objects in a reference point that rotates relative to an inertial frame are affected by an imagined or inertial force known as the Coriolis force. the force acting left of a object . an object in a frame of reference rotating in a clockwise direction.

Rotation: Rotation, often known as spin, is the cyclical motion of an object about a fundamental axis.

A two-dimensional rotating object can only have one possible central axis.

Such things have an axis that may rotate either counterclockwise or clockwise.

To know more about Coriolis force  visit:

https://brainly.com/question/29801913

#SPJ4

Answer:

The Event Horizon Telescope (EHT) made history by capturing the first-ever image of a black hole in 2017. This monumental achievement provided astronomers and scientists with a groundbreaking glimpse into the mysterious phenomenon of black holes.

Explanation:

To obtain the image, the EHT utilized a technique called Very Long Baseline Interferometry (VLBI), which involved coordinating a global network of radio telescopes to work together as a single virtual telescope. By synchronizing the data collected from these widely dispersed telescopes, the EHT achieved an incredibly high-resolution image.

The observations necessary for creating the image of the black hole were not limited to a single night in 2017. Instead, the data collection process spanned several nights over the course of that year. The EHT team synchronized and combined the observations from different telescopes to form a cohesive dataset, enabling the creation of the final image.

By observing the target black hole—specifically, the supermassive black hole at the center of the galaxy Messier 87 (M87)—over multiple nights, the EHT team was able to gather a more extensive dataset. This prolonged observation period increased the chances of capturing clear and accurate data, compensating for potential adverse weather conditions or technical challenges on any given night.

Overall, the observations made by the Event Horizon Telescope in 2017 were spread out across several nights to ensure the collection of sufficient data and enhance the accuracy of the resulting image. The collaborative effort and meticulous data analysis led to the groundbreaking achievement of capturing the first-ever direct image of a black hole.

To know more about Event Horizon Telescope visit:

https://brainly.com/question/32089036

#SPJ11

Answer:

Explanation:

60 times 5=300+24=324

207/324= aveage i dont have a calculator

use the average and mutiple by 88 minutes

The size of the image is determined by the distance between the object and the mirror (object distance) and the distance between the mirror and the screen (image distance).

Using the formula for image distance (1/f = 1/object distance + 1/image distance), we can find the focal length of the mirror:

1/f = 1/object distance + 1/image distance (twice the object size)

1/f = 1/object distance + 2

1/f = 1/object distance + 1/image distance (three times the object size)

1/f = 1/object distance + 3

We know that the image distance (the distance from the mirror to the screen) is 75 cm in both scenarios, so we can set up the equations using that information:

1/f = 1/object distance + 2 (twice the object size)

75 = 2 * object distance + f

1/f = 1/object distance + 3 (three times the object size)

75 = 3 * object distance + f

Solving for object distance in the first equation:

object distance = (75 - f) / 2

Substituting that into the second equation:

75 = 3 * ((75 - f) / 2) + f

Simplifying and solving for f:

75 = (225 - 3f) / 2 + f

150 = 225 - 3f

3f = 75

f = 25 cm

So the focal length of the mirror is 25 cm.

To find the distance the object is moved, we can use the equation for object distance:

object distance = (75 - f) / 2

object distance = (75 - 25) / 2

object distance = 25 cm

So, the object is moved 25 cm in the process.

To learn more about concave mirror:

https://brainly.com/question/26505785

#SPJ4

The work input required to lower a 120-pound weight from the top of a 3-foot table to the floor is 360 foot-pounds. The correct answer is option B.

The work done to lower an object is calculated by multiplying the force exerted on the object by the distance over which the force is applied. In this case, the force exerted is the weight of the object, which is 120 pounds.

The distance over which the force is applied is the vertical distance from the table's top to the floor, which is 3 feet.

To calculate the work input, we use the formula W = F × d, where W is the work, F is the force, and d is the distance.

Substituting the given values, we have W = 120 pounds × 3 feet = 360 foot-pounds.

Therefore, the work input required to lower the 120-pound weight from the top of the 3-foot table to the floor is 360 foot-pounds.

Learn more about force here:

https://brainly.com/question/30507236

#SPJ11

The altitude of the synchronous satellite is \(3.59*10^7\) meters which always remains above the same point on Earth’s equator.

The altitude of a synchronous satellite, which remains above the same point on Earth's equator, can be determined using the formula for the orbital period of a satellite and the rotational period of the Earth. Since the satellite is in a circular orbit, its orbital period will be equal to the rotational period of the Earth, which is 24 hours.
The formula for the orbital period of a satellite is \(T=2\pi \sqrt{(a^3/GM)}\), where T is the orbital period, a is the semi-major axis of the orbit, G is the gravitational constant, and M is the mass of the Earth.
Since we know the orbital period is 24 hours, we can rearrange the formula to solve for a, which represents the altitude of the satellite.
\(a=\sqrt[3]{[(GMT^2)/4\pi ^2]} =\sqrt[3]{[(6.67*10^{-11} * 5.97*10^{24} * (24*60*60)^2)/4\pi ^2]} = 3.59*10^7\) m

To learn more about satellite click here https://brainly.com/question/30208452

#SPJ11

(i)Therefore, it takes approximately 9.27 hours to reach its full power output.(ii)It is necessary to have quick-start power sources, this helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.(c)The Bremsstrahlung effect needs to be considered to ensure proper radiation protection.(d) The near-field region is characterized by strong electric and magnetic fields while the far-field region represents the radiation zone.

(i) To calculate the time it takes for the power station to reach its full power output, we can use the formula:

Energy = Power × Time

Given that the power station generates 6120 MWh of energy over a 10-hour period and the rated power at full capacity is 660 MW, we can rearrange the formula to solve for time:

Time = Energy ÷ Power

Converting the energy to watt-hours (Wh):

Energy = 6120 MWh × 1,000,000 Wh/MWh = 6,120,000,000 Wh

Converting the power to watt-hours (Wh):

Power = 660 MW × 1,000,000 Wh/MW = 660,000,000 Wh

Now we can calculate the time:

Time = 6,120,000,000 Wh ÷ 660,000,000 Wh ≈ 9.27 hours

Therefore, it takes approximately 9.27 hours (or 9 hours and 16 minutes) for the power station to reach its full power output.

(ii) The type of power station that can be started up fastest is a gas-fired power station. Gas-fired power stations can reach full power output relatively quickly because they use natural gas combustion to produce energy.

In contrast, other types of power stations, such as coal-fired or nuclear power stations, have longer start-up times. Coal-fired power stations require time to heat up the boiler and generate steam, while nuclear power stations need to go through a complex series of procedures to ensure safe and controlled nuclear reactions.

This is relevant to optimizing the usage of windfarms because wind power is intermittent and dependent on the availability of wind. This helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.

(c) The Bremsstrahlung effect is a phenomenon that occurs when charged particles, such as electrons, are decelerated or deflected by the electric fields of atomic nuclei or other charged particles. As a result, they emit electromagnetic radiation in the form of X-rays or gamma rays.

In shielding design, the Bremsstrahlung effect needs to be considered to ensure proper radiation protection. These materials effectively absorb and attenuate the emitted X-rays and gamma rays, reducing the exposure of individuals to harmful radiation.

(d) The electromagnetic field output from an antenna can be represented by two main regions:

Near-field region: This region is closest to the antenna and is also known as the reactive near-field. It extends from the antenna's surface up to a distance typically equal to one wavelength. In the near-field region, the electromagnetic field is characterized by strong electric and magnetic field components.

Far-field region: Also known as the radiating or the Fraunhofer region, this region extends beyond the near-field region.The electric and magnetic fields are perpendicular to each other and to the direction of propagation.  The far-field region is further divided into the "Fresnel region," which is closer to the antenna and has some characteristics of the near field, and the "Fraunhofer region," which is farther away and exhibits the properties of the far-field.

The transition between the near-field and the far-field regions is gradual and depends on the antenna's size and operating frequency. The size of the antenna and the distance from it determine the boundary between these regions.

In summary, the near-field region is characterized by strong electric and magnetic fields, while the far-field region represents the radiation zone where the energy is radiated away as electromagnetic waves.

To know more about power station:

https://brainly.com/question/32772374

#SPJ4

When a carbon-containing molecule is reduced, it gains electrons. Therefore, the correct answer is: a) gains electrons.  

Reduction is a process in which a molecule gains electrons, typically from another molecule or an atom. This process is the opposite of oxidation, in which a molecule loses electrons.

Carbon-containing molecules can undergo reduction reactions because carbon has four valence electrons in its outermost energy level. When a carbon atom loses one or more electrons, it can form a covalent bond with another molecule or atom, which adds electrons to the carbon atom. This creates a stable electron configuration for the carbon atom and results in a reduced form of the molecule. Therefore, the correct answer is: a) gains electrons.  

Learn more about carbon visit: brainly.com/question/141693

#SPJ11

At aphelion, the Earth is 96% of the Earth-sun distance at aphelion which means that the correct statement is that at aphelion, because the gravitational attraction is lower, the speed of the Earth is higher and is denoted as option B.

This is referred to as the  farthest point in the orbit of a planet such as the earth from the sun.

In a a scenario where the Earth is 96% of the Earth-sun distance at aphelion, then it means that the orbit has almost been completed which means that a high amount of speed was involved in the process.

This is as a result of the gravitational attraction being lower which has an inverse relationship with the speed of the Earth which is why it was higher and is therefore the reason why option B was chosen.

Read more about Aphelion here https://brainly.com/question/913716

#SPJ1

Answer:

The spotted owl is an example of an indicator species, or an organism that shows the overall health of an environment. This could be an animal, like the owl, a bacterium, a plant, a fish, well you get the idea.

Answer:

vegetables food, sport sport sport

Explanation:

????!!!!

If you keep them exactly the same distance apart, then wrapping the soccer ball in layers of duct tap will increase he gravitational force between them, because the mass of the soccer ball will increase slightly.

The gravitational force between the baseball and a soccer ball will increase by wrapping the soccer ball in layers of duct tap.

The given problem is based on the concept and fundamentals of gravitational force. The force come into play between the objects on Earth and Earth itself on account of gravity, is known as the gravitational force.

Now considering the given problem, the mathematical expression for the gravitational force is,

\(F = \dfrac{G \times m \times M}{r^{2}}\)

Here,

G is the universal gravitational constant.

m is the mass of baseball.

M is the mass of Soccer ball.

r is the distance between the baseball and Soccer ball.

Clearly, the gravitational force is directly proportional to the masses of Baseball and soccer ball and inversely proportional to the square of distance between them.

So, in order to increase the gravitational force, we need to bring both the balls closer because the masses of each balls remains constant. And this is achieved by wrapping the soccer ball in layers of duct tap.

Thus, we can conclude that the gravitational force between the baseball and a soccer ball will increase by wrapping the soccer ball in layers of duct tap.

Learn more about the gravitational force here:

https://brainly.com/question/25996587

The direction of the force from wire 1 on wire 2 is attractive, as the two currents are in the same direction.

If two currents are flowing in the same direction and the forces between the wires are attractive, then the direction of the force on wire 2 due to wire 1 will be towards wire 1. This is because the magnetic field created by the current in wire 1 will induce a magnetic field in wire 2, and the interaction between these two magnetic fields will result in an attractive force between the wires.

In summary, if two currents are flowing in the same direction and the forces are attractive, the direction of the force on wire 2 due to wire 1 will be towards wire 1.

Learn more about the magnetic field:

https://brainly.com/question/26257705

#SPJ11

Answer:

46.2m/s²

Explanation:

Given parameters:

Acceleration  = 18.2m/s²

Original force  = F

Decrease factor = 3.9

Unknown:

New acceleration = ?

Solution:

Let the original force  = F

            new force  = \(\frac{F}{0.39}\)

        Original acceleration = 18.2m/s²

         new acceleration  = ?

According to newton's second law of motion;

       Force = mass x acceleration

  So,

        mass = \(\frac{Force}{Acceleration}\)

   So; initial mass = final mass

                \(\frac{F }{18.2}\)  = \(\frac{\frac{F}{0.39} }{acceleration}\)

             \(\frac{F}{0.39}\) x 18.2 = F x acceleration

            Acceleration = 46.2m/s²

Answer:

Los 11 colores básicos (negro, azul, marrón, gris, verde, naranja, rosa, púrpura, rojo, blanco y amarillo) y los 28 adicionales (turquesa, verde oliva, verde menta, borgoña, lavanda, magenta, salmón, cian, beige, rosado, verde oscuro, verde oliva, lila, amarillo pálido, fucsia, mostaza, ocre, trullo, malva, púrpura

hope that helps bby<3

Answer:

10 millones

Explanation:

En primer lugar, los científicos han determinado que en el laboratorio podemos ver unos 1.000 niveles de luz oscura y unos 100 niveles de rojo-verde y amarillo-azul. Eso es alrededor de 10 millones de colores ahí mismo.

The magnitude of energy that is lost due to friction is 73.7Joules.

In order to accomplish work and to produce heat and light, energy must be transferred to a body or to a physical system. Energy is the quantitative attribute that does this. Energy is a preserved resource; according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed.

Computers, vehicles, communications, state-of-the-art medical technology, and many other things are all powered by energy. The demand for dependable and economical energy is especially pressing for emerging countries. It can be beneficial and even life-saving.

Energy required by the body is the kinetic energy

Kinetic Energy = 1 / 2 mv²

m = mass

v = velocity

For the 5.3kg moving at 6.6m/s

kE = 1/2 * 5.3 * 6.6²

KE = 1/2 * 5.3 * 43.56

KE = 115.71Joules

for the 5.3kg moving at 4m/s

KE = 42 joules

Amount of energy lost

= 115.71Joules - 42 joules

= 73.7 joule

Thus, the amount of Energy lost is73.7Joules.

To learn more about energy, follow the link;

https://brainly.com/question/1932868

#SPJ1

Answer:

The formula is the form -

m λ = d sin Θ

As the wavelength λ is decreased sin Θ will also decrease.

One can see from the derivation that as the wavelength, being considered,

is decreased the dispersion will also decrease.