Big fish swim substantially faster than small fish, while big birds fly faster than small ones. However, the speeds of runners vary a lot less with body size, although big ones do go somewhat faster, never mind a lot of highly unreliable top speed data. Some general scaling rules might help. Assume that the cost of transport (cost per distance) varies with body mass^0. 68, that the maximum metabolic rate varies with body mass^0. 81, and that efficiencies and so forth don't vary with body size. How many times faster should a 450 kilogram bear be able to run than the top speed of a 45gram rodent

Answer: molecules heat up under different ranges of heat causing bonds to break down but depends on the solid. There are different melting points.

Explanation:

The acceleration of the object is 4.48m/s².

From the graph we can see,

There are 5 dots placed over the line, it means that the object has moved for 5 seconds. The distance which the object has covered in 5 seconds is equal to about 56 meters.

As we know, the object is starting from rest, so the initial velocity is 0m/s.

Now, to find the acceleration a of the object, we can use the equations of motion.

So,

Using,

S = ut + 1/2at²

Where,

u is initial velocity,

S is the distance covered,

and t is the time period of motions of the object.

Putting all the values,

56 = 1/2a(5)²

(56 x 2)/25 = a

a = 4.48m/s²

Hence, the acceleration is 4.48m/s².

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Answer:

D

Explanation:

To convert km/hr to m/s, you need to divide the speed in km/hr by 3.6. This is because one meter per second is equivalent to 3.6 kilometers per hour.

Here's the formula:

m/s = km/hr ÷ 3.6

For example, if the speed is 60 km/hr, then the equivalent speed in m/s would be:

60 ÷ 3.6 = 16.67 m/s

It's important to note that the units of distance and time must be consistent when working with speeds. Kilometers per hour and meters per second both use the metric system, so the conversion is straightforward.

When converting from km/hr to m/s, it's crucial to consider the context in which the speed is being used. In some fields, such as aviation and weather forecasting, m/s is more commonly used, while km/hr is more frequently used in road transportation and car racing.

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Speed of the wave will be = 129 m/s

given

mass = 60 g = 0.06 kg

length = 2 m

wave speed  = v = \(\sqrt{\frac{T}{mu} }\)

T = Tension of the rope = 500 N

mu = linear mass density

mu = mass / length

     = 0.06 / 2 = 0.03 kg/m

v = \(\sqrt{\frac{500}{0.03} }\) = 129 m/s

speed of the wave will be = 129 m/s

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If you cover half a camera lens with opaque tape, the images produced will be dimmer.

When you cover half of the camera lens with opaque tape, it'll cause the quantity of light entering the camera to decrease. If you cover the camera lens halfway, the pictures taken will be dimmer since the tape is preventing the light from entering half of the lens. Images with less contrast, less brightness, and half of the image will be darker than the other half.

You won't be able to take a complete, clear photograph since the tape will produce an obstruction in the picture.

The reason is that when half the lens is covered with opaque tape, the resulting images will be dimmer and not cut in half.

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Answer:

c

Explanation:

The Oort cloud is the proximate source of observed nearly parabolic, so-called 'new' comets entering the planetary region, and is also the presumed source of the long-period comet flux and the majority of Halley-type comets (HTCs).

The oort cloud is important for understanding the formation of the solar system.

It is believed to be an important source of comets that can provide valuable information about the conditions and processes that were present in the early solar system.

Here,
The Oort Cloud is important for understanding the formation of the solar system because it is believed to be a reservoir of icy bodies that formed early in the solar system's history. These icy bodies, which include comets, are thought to have played a key role in the early evolution of the solar system by delivering water and other volatile materials to the inner solar system, including the early Earth.

By studying the composition and properties of comets from the Oort Cloud, scientists can gain insights into the formation and evolution of the solar system and learn more about the conditions that were present in the early solar system.

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Answer:

Please find the answer in the explanation below.

Explanation:

Given that Alberto is on his daily commute. While texting, his car veers of the road and hits a tree, coming to a complete halt. As state law required, he was wearing a seatbelt, and walked away from the accident uninjured.

To use the  concepts of momentum, kinetic energy, and force to explain why Alberto was able to walk away from the  accident,

According to the Newton's second law of motion, the rate of the change in momentum is proportional to the force applied. that is,

F = ma

where

F = the force that caused the car to accelerate

m = mass of the car

a = the acceleration of the car.

As the car accelerated, the kinetic energy produced caused the car to hit the tree.

But according to the Newton's third law of motion, which state that;

in every action, there will be equal and opposite reaction.

The seat belt provided the reaction opposite to the action produced by the force. Which eventually halt the Kinetic energy of the person and prevented him from being getting injured.

Alberto was able to walk away from the accident because he had his seat belt on according to Newton's first law.

According to Newtons's first law of motion, an object will continue in its state of rest or uniform motion unless it is acted upon by an external, unbalanced force. This law is the reason why a passenger quickly moves forward when a car stops suddenly.

Alberto was able to walk away from the accident because he had his seat belt on which prevented him from being thrown out of the windscreen. The momentum and kinetic energy of the car is not conserved because the car sticks with the tree.

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Answer:

it is 15

Explanation:

join

Answer:

The starting height of the ball is approximately 0.604 m

Explanation:

The given parameters are;

The mass of the the ball = 0.050

The speed with which it travels through the top loop = 2 m/s

The given height at which the ball moves at 2 m/s = 0.40 m

Therefore, we have;

1/2·m·v² = m·g·h

1/2·v² = g·h

h = 1/2·v²/g = 1/2 × 2²/9.81 ≈ 0.204

The additional height = h = 0.204 m

Therefore;

The starting height of the ball  ≈ The given height at which the ball moves at 2 m/s + h

The starting height of the ball  ≈ 0.40 + 0.204 = 0.604 m

The starting height of the ball ≈ 0.604 m.

When any object in rest, then potential energy is present. But when object is in motion then object have kinetic energy.

Starting height of the ball is 0.604 m.

We know that, when any object is start from rest, then potential energy is converted into kinetic energy.

     \(\frac{1}{2}mv^{2} =mgh\)

Where m is mass of object, g is gravitational acceleration , h is height and v is velocity of object. (value of g = 9.81 m/ second square)

from above equation,

we get,     extra height        \(h=\frac{v^{2} }{2g} \\\\h=\frac{4}{2*9.81}\\\\h=0.204\) meter

The starting height of the ball will be sum of the height at which ball moves 2 m/s and extra height.

Starting height = 0.40 + 0.204 = 0.604 meter.

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Despite being massless, photons do have momentum, and it is directly related to their wavelength. This relationship is described by the equation p = λ, where p is the momentum of the photon, λ is its wavelength, and h is Planck's constant. This relationship was first proposed by Einstein in his theory of the photoelectric effect. The correct answer is (d).

The fact that photons have momentum has been demonstrated through various experiments, such as the Compton scattering experiment, which showed that photons can transfer momentum to electrons. The momentum of photons is also important in understanding phenomena such as the Doppler effect, where the wavelength of light is affected by the motion of the source or observer.

It is important to note that while photons have momentum, they do not have mass, which sets them apart from other particles such as electrons. This means that the momentum of a photon cannot be calculated using the classical formula p = mv, where m is the mass of the particle and v is its velocity. Instead, the momentum of a photon is entirely determined by its wavelength.

In summary, while photons are massless, they do have momentum, which is related to their wavelength through the equation p = λ. This relationship has been demonstrated through various experiments and is an important aspect of understanding the behavior of light.

Therefore, This relationship was first proposed by Einstein in his theory of the photoelectric effect. The correct answer is (d).

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Answer:

6,400

Explanation:

i made sure  the other person was right and i got the same answer

A student could find the total mass of copper produced by using production data, use density and volume, use chemical analysis, or consult an expert.

We can use several methods to find total mass of copper produced:

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Answer: I believe the correct answer would be they join north pole to south pole. The direction of these lines always goes from the direction of north to south pole. These lines forms loops in order to favor the way which requires or has less resistance. Hope this helps.

The vertical height between the two climbers is approximately 5.15 meters.

To find the vertical height between the two climbers, we can analyze the vertical motion of the first aid kit.

Given:

Initial velocity of the kit (v₀) = 9.35 m/s

Launch angle (θ) = 56.4°

Vertical speed at the catching instant (vᵥ) = 0 m/s

We can break down the initial velocity into its vertical and horizontal components:

Vertical component: v₀ₓ = v₀ * sin(θ)

Horizontal component: v₀ᵧ = v₀ * cos(θ)

Since the vertical speed at the catching instant is zero, we can use the vertical component of the initial velocity and the acceleration due to gravity to calculate the vertical height.

The equation for vertical motion without considering air resistance is:

Δy = v₀ₓ * t + (1/2) * (-g) * t²

Where Δy is the vertical displacement, t is the time, and g is the acceleration due to gravity (approximately 9.8 m/s²).

At the instant of catching, the vertical displacement is equal to the vertical height between the climbers. Since the vertical speed is zero, the time taken for the kit to reach that point can be determined by dividing the vertical component of the initial velocity by the acceleration due to gravity:

t = v₀ₓ / g

Substituting the known values into the equation:

t = (v₀ * sin(θ)) / g

Now we can substitute the calculated time into the equation for vertical displacement to find the vertical height:

Δy = v₀ₓ * t + (1/2) * (-g) * t²

Substituting the known values into the equation:

Δy = (v₀ * sin(θ)) * [(v₀ * sin(θ)) / g] + (1/2) * (-g) * [(v₀ * sin(θ)) / g]²

Simplifying the expression:

Δy = [(v₀² * sin²(θ)) / g] - [(v₀² * sin²(θ)) / (2g)]

Calculating the numerical value using the given values:

Δy = [(9.35 m/s)² * sin²(56.4°)] / (2 * 9.8 m/s²)

Simplifying the expression and calculating the value:

Δy ≈ 5.15 m

Therefore, the vertical height between the two climbers is approximately 5.15 meters.

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The power developed by the bicyclist while climbing a hill at a constant speed of 2.5 m/s by applying an average force of 85 N is approximately 212.5 W.

Given:Mass of the bicyclist, m = 45 kg. Speed of the bicyclist, v = 2.5 m/sAverage force applied by the bicyclist, F = 85 NPower is given by the formula:

P = Fv = 85 N × 2.5 m/s = 212.5 W.

The power of an object is the rate at which energy is transferred or work is done.

In this problem, we can calculate the power developed by the bicyclist by multiplying the force applied and the speed at which the bicyclist is moving.

The mass of the bicyclist is given as 45 kg and the speed at which the bicyclist is moving is given as 2.5 m/s.

The average force applied by the bicyclist is 85 N. Using the formula for power,

we can calculate that the bicyclist develops approximately 212.5 watts (W) of power.

Therefore, the power developed by the bicyclist while climbing a hill at a constant speed of 2.5 m/s by applying an average force of 85 N is approximately 212.5 W.

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The astronaut's height, as measured from the space station, will appear contracted due to relativistic effects. Due to relativistic length contraction, the astronaut's height, as measured from the space station, appears to be approximately 3.52 meters.

According to the theory of special relativity, objects in motion relative to an observer will experience length contraction along the direction of motion. In this case, the spaceship is moving at a speed of 0.9 times the speed of light (0.9 c) relative to the space station.

The length contraction factor, denoted by γ, can be calculated using the Lorentz factor:

γ = 1 / √(1 - v²/c²)

Where v is the velocity of the spaceship and c is the speed of light. Plugging in the values, we have:

γ = 1 / √(1 - 0.9²)

γ ≈ 1.92

To determine the astronaut's height as measured from the space station, we multiply her actual height by the length contraction factor:

Height (as measured from the space station) = Actual height × γ

Height (as measured from the space station) = 1.83 m × 1.92

Height (as measured from the space station) ≈ 3.52 m

Therefore, due to relativistic length contraction, the astronaut's height, as measured from the space station, appears to be approximately 3.52 meters.

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another answer for acellus is 143 m/s it worked for me

The speed of the charge is approximately 2.857 m/s.

To find the speed of the charge, we can use the formula for the magnetic force on a charged particle moving through a magnetic field:

Force (F) = q * v * B * sin(θ)

Where:

F is the force on the charge (given as 2.14 x \(10^-8\)  N),

q is the charge of the particle (given as 2.99  x \(10^-6\)C),

v is the speed of the charge (what we want to find),

B is the magnitude of the magnetic field (given as 5.00 x \(10^-5\) T),

θ is the angle between the direction of motion and the magnetic field (given as 10.0°).

First, we need to convert the angle from degrees to radians:

θ (in radians) = 10.0° * (π / 180°) ≈ 0.174532925 radians

Now, we can rearrange the formula to solve for the speed (v):

v = F / (q * B * sin(θ))

Substitute the given values into the equation:

v = 2.14 x \(10^-8\) N / (2.99 x \(10^-6\) C * 5.00  x \(10^-5\)  T * sin(0.174532925))

v ≈ 2.857143 m/s

Therefore, the speed of the charge is approximately 2.857 m/s.

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We can conclude that the space between the two spacecraft is expanding, indicating that the universe in which they exist is undergoing a process known as cosmic expansion.

The observation that the spacecraft are getting further apart without changing their directions suggests that the space itself is expanding. This phenomenon is a key feature of cosmic expansion, which is the stretching of space on a large scale. In our universe, this expansion is described by the theory of general relativity.

According to the theory, the expansion of space causes the distance between distant objects to increase over time. As the universe expands, the fabric of space itself stretches, causing the separation between objects to grow. This expansion is not due to the spacecraft moving away from each other, but rather the space between them expanding.

The observation that the spacecraft are getting further apart over millions of years indicates that the cosmic expansion is ongoing. This finding aligns with the current understanding of our own universe, where distant galaxies are observed to be moving away from each other as a result of cosmic expansion.

Therefore, based on the observation of the spacecraft getting further apart without changing their directions, we can conclude that the universe in which the aliens exist is undergoing cosmic expansion.

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Answer:

Below!

Explanation:

Referring to the picture, we can conclude that the picture J will have the most effect on ocean tides.

Whichever model is similar to model J in the picture will be your answer.

Hoped this helped.

Answer:

A molecule is defined as two or more atom of same element or different element grouped together

The Law of Conservation of Energy states that energy cannot be created or destroyed, only transferred or converted from one form to another. This means that the total amount of energy in a closed system remains constant.

As the object falls to the ground, its potential energy is converted into kinetic energy. The potential energy is determined by the object's mass and its height above the ground. As the object falls, its height decreases and its potential energy decreases, but this decrease in potential energy is compensated by an increase in kinetic energy. The kinetic energy is determined by the object's mass and its velocity. As the object's height decreases and its velocity increases, its kinetic energy increases.

As the object falls, the total amount of energy remains constant. The initial potential energy of 10 J is equal to the final kinetic energy of the object. This is an example of the Law of Conservation of Energy in action. The object's potential energy is transformed into kinetic energy, but the total amount of energy remains the same.

The total momentum is always conserved in the following situations: when all the forces on the system are internal to the system, and when the net force on the system is zero.

In a system where all the forces are internal, the external forces do not act on the objects within the system. As a result, the internal forces between the objects can only transfer momentum within the system, but not change the total momentum of the system. This principle is known as the law of conservation of momentum.

When the net force on the system is zero, it means that the total force acting on the system is balanced and there is no external force causing an acceleration. According to Newton's second law of motion (F = ma), if the net force is zero, the acceleration of the system is zero. Therefore, the velocities of the objects in the system remain constant, and the total momentum of the system is conserved.

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The electric potential at a distance r from a point charge q is V, and we are to find the value of the electric potential at a distance of 2r from the charge.

If the electric potential at a distance r from a point charge q is V, then the potential energy of a test charge q' at that distance is given by .

The electric potential at a distance r from a point charge q is V and we are to find the value of the electric potential at a distance of 2r from the charge.Therefore, the electric potential at a distance of 2r from the charge is `V/2`.

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Explanation:

When Two Samples of Water are Mixed, what Final Temperature Results?

Go to Mixing Two Amounts of Water: Problems 1 - 10

Go to calculating the final temperature when mixing water and a piece of metal

Worksheet #2

Back to Thermochemistry Menu

Example #1: Determine the final temperature when 32.2 g of water at 14.9 °C mixes with 32.2 grams of water at 46.8 °C.

This is problem 8a from Worksheet #2.

First some discussion, then the solution. Forgive me if the points seem obvious:

1) The colder water will warm up (heat energy "flows" into it). The warmer water will cool down (heat energy "flows" out of it).

2) The whole mixture will wind up at the SAME temperature. This is very, very important.

3) The energy which "flowed" out (of the warmer water) equals the energy which "flowed" in (to the colder water)

This problem type becomes slightly harder if a phase change is involved. For this example, no phase change. What that means is that only the specific heat equation will be involved

Solution Key Number One: We start by calling the final, ending temperature 'x.' Keep in mind that BOTH water samples will wind up at the temperature we are calling 'x.' Also, make sure you understand that the 'x' we are using IS NOT the Δt, but the FINAL temperature. This is what we are solving for.

The warmer water goes down from to 46.8 to x, so this means its Δt equals 46.8 − x. The colder water goes up in temperature, so its Δt equals x − 14.9.

That last paragraph may be a bit confusing, so let's compare it to a number line:



To compute the absolute distance, it's the larger value minus the smaller value, so 46.8 to x is 46.8 − x and the distance from x to 14.9 is x − 14.9.

These two distances on the number line represent our two Δt values:

a) the Δt of the warmer water is 46.8 minus x

b) the Δt of the cooler water is x minus 14.9

Solution Key Number Two: the energy amount going out of the warm water is equal to the energy amount going into the cool water. This means:

qlost = qgain

However:

q = (mass) (Δt) (Cp)

So:

(mass) (Δt) (Cp) = (mass) (Δt) (Cp)

With qlost on the left side and qgain on the right side.

Substituting values into the above, we then have:

(32.2) (46.8 − x)(4.184) = (32.2) (x − 14.9) (4.184)

Solve for x

Answer: C. is the answer

Explanation:

Answer:

D

Explanation:

took the test :D

Answer:

  A. 58.8m/s

Explanation:

The acceleration due to gravity is 9.8 m/s², so the velocity after 6 seconds is ...

  v = at

  v = (9.8 m/s²)(6 s) = 58.8 m/s

Answer:

A watt (W) is a joule (J) of energy used or produced per second. In 2010, the average US power use was 3.3 terawatts, or 3,300,000,000,000 watts. A horsepower is a unit of power. 1 horsepower (hp) is 745.7 watts.

extra info

How many watts does it take to make 1 horsepower?

746 watts !

One electric horsepower is equal to exactly 746 watts.

can someone help me with my qustions :(

Nuclear fusion and gravitational contraction are two energy sources help a star maintain equilibrium in its internal thermal pressure.

A reaction known as nuclear fusion occurs when two or more atomic nuclei fuse to create new atomic and subatomic particles (neutrons or protons). Energy is released or absorbed depending on how much mass there is between the reactants and products. The difference in nuclear binding energy between the atomic nuclei before and after the reaction is what causes this mass difference. Large amounts of energy are generated during nuclear fusion, which fuels active stars, main sequence stars, and other high-magnitude stars.

Energy is often released during nuclear fusion processes that result in atomic nuclei lighter than iron-56 or nickel-62. These substances have a comparatively low mass and a high nucleon binding energy.

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