what is first law of motion​

where the inclination angle of an accelerometer is adjusted and its voltage output is measured. If the accelerometer has a linear voltage output with respect to acceleration,

it is not necessarily expected that the voltage output with respect to inclination angle will also be linear. This is because the accelerometer measures the static acceleration due to gravity even when sitting still, and the angle of inclination can affect the gravitational force that is measured by the accelerometer.

In other words, the voltage output of the accelerometer may change non-linearly as the angle of inclination changes.

For example, as the accelerometer is tilted at steeper angles, the gravitational force it measures may become less linearly correlated with the angle of inclination due to the changing components of the gravitational force vector.

Therefore, it is important to design an experiment that carefully controls for the angle of inclination and measures the voltage output at different angles to accurately determine any potential non-linearity in the accelerometer's output.

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Answer:

500000 approx........

...

Explanation:

The average speed is equal to total distance over total time

The formula for distance is s=v×t

So the average speed would be:

v=(v1×t1)+(v2×t2)+(v3×t3)/t1+t2+t3

Now we can solve:

v=(54×20)+(36×30)+(18×10)/60s

v=2340/60

v=39km/h

If you need to convert to m/s, divide by 3.6 and you get 10.8333 m/s

Hope this helps!

The runner that runs in a 5.00 km race at a steady 3.0 m/s takes 27.78 min to finish the race

The formula and procedure we will use to solve this problem is:

v = x/t

Where:

Information about the problem:

By converting the distance units from (km) to (m) we have:

5.00 km * (1000 m / 1 km) = 5000 m

Applying the velocity formula and isolating the time, we get:

v = x/t

t = x/v

t = 5000 m / 3.0 m/s

t = 1666.67 s

By converting the time units from (s) to (min) we have:

1666.67 s * (1 min / 60 s) = 27.78 min

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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Work

In physics work is said to be done when a force acting on a body displaces it through a certain distance. The work by a constant force is measured by the dot product of force will displacement.

i.e. W = F.S or W = F S cosq …(1)

where F = force and S = displacement

And q = angle between F and S.

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Scientists use the arrival times of seismic waves at multiple stations, along with amplitude data, to triangulate the location of an earthquake epicenter.

To determine the location of an earthquake, scientists use the data recorded at seismic stations. The seismic stations are equipped with seismometers that detect and record seismic waves generated by the earthquake. These waves travel through the Earth's interior and arrive at different times at various seismic stations.To locate the epicenter of the earthquake, scientists analyze the time differences between the arrivals of primary (P) waves and secondary (S) waves at multiple stations. P waves are faster and arrive first, followed by slower S waves. By comparing the time interval between the arrival of P and S waves at different stations, scientists can calculate the distance of each station from the earthquake epicenter.

Using the distances from at least three seismic stations, scientists plot circles around each station on a map. These circles represent the potential distance between the station and the epicenter. The intersection of the circles determines the most likely location of the earthquake epicenter. This method is known as the "triangulation" technique.Additionally, the amplitude of the recorded seismic waves provides information about the earthquake's magnitude. By analyzing the amplitude data from different stations, scientists can estimate the earthquake's size or magnitude.

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Note- Sorry The diagram cannot be added .

Answer:

The roller coaster gains potential energy as they reach the top of the hill. And then the energy changes to kinetic energy.

Explanation:

Answer:

Alfred Wegener proposed the idea that earths lithospher is divided into tectonic plates.The theory was only accepted after he died.

A 7.25 kg lead brick with a starting temperature of 18.0 °C needs a minimum of 4.56 x 105 J to melt fully. 328 °C is the melting temperature of lead. Lead has a latent heat of fusion of 23,200 J/kg and a specific heat capacity of 128 J/(kg C).

Here, the formula is: Q = mc (T2 -T1) = mL

what is Specific heat capacity ?

"The amount of heat required to change the temperature of a unit mass of the substance by one degree" is the definition of specific heat capacity for any substance.

Specific heat capacity is a sort of thermal inertia since it shows how resistant a substance is to changes in temperature. In connection with this formula, specific heat capacity information.

What precisely is latent heat of fusion?

The amount of energy that must be added to a solid substance (usually in the form of heat) to cause a change in its physical state and transform it into a liquid is known as the latent heat of fusion, also known as the enthalpy of fusion (when the pressure of the environment is kept constant). For instance, the latent heat of fusion of one kilogram of water is 333.55 kilojoules, which is the amount of heat energy required to transform one kilogram of ice while maintaining a temperature of zero degrees Celsius in the surrounding space.

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Answer:

The solar nebula became hot and dense because of that it pulling in more gas. This flattened into a rotating disk. It  spun  faster and faster, forming the Sun.

Explanation:

hope this helps

The solar nebula became hot and dense because of that it pulling in more gas. This flattened into a rotating disk. It  spun  faster and faster, forming the Sun. This order did the events forming our solar system occur.

In the so-called nebular hypothesis of the genesis of the solar system, the Sun and planets originated by condensation from a gaseous cloud. In 1734, Swedish philosopher Emanuel Swedenborg claimed that the planets arose from a nebular crust that enveloped the Sun before breaking apart. Immanuel Kant, a German philosopher, proposed in 1755 that the Sun and planets were created by a slow rotating nebula that was eventually pushed together by its own gravitational force and flattened into a spinning disc. In 1796, the French astronomer and mathematician Pierre-Simon Laplace presented a similar concept, but with the planets forming before the Sun. The Kant-Laplace theories were criticised by the British physicist James Clerk in the late nineteenth century.

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A) Electrons should be accelerated through a potential difference of  51.6 kV

B) 117.3 MV would be needed to give protons the same kinetic energy as the electrons. C)117.3 MV would give protons a speed of 0.999 times  speed of light. D)v/c x 100% ≈ 99.9%

Energy an object has because of its motion is known as kinetic energy.

A.) Kinetic energy of an electron accelerated through a potential difference of V volts is : KE = eV

KE = (γ - 1)mc²

γ is  Lorentz factor, m is rest mass of the electron, and c is speed of light.

eV = (γ - 1)mc²

V = (γ - 1)mc² / e

V = (1.021 - 1) x 9.11 x 10⁻³¹ kg x (3.00 x 10⁸ m/s)² / (1.60 x 10⁻¹⁹ C)

V ≈ 51.6 kV

Therefore, the electrons should be accelerated through a potential difference of approximately 51.6 kV to reach a speed of 2.1% of the speed of light when they hit the target.

B.) KE = eV

e is charge on the proton

(γp - 1)mpc² = (γe - 1)mec²

γp is Lorentz factor of the proton, mp is rest mass of the proton, and me is rest mass of the electron.

V = [(γp - 1)mpc² - (γe - 1)mec²] / e

V = [(1 - v²/c²\()^{(-1/2)\) - 1] x 1.67 x 10⁻²⁷ kg x (3.00 x 10⁸ m/s)² / (1.60 x 10⁻¹⁹ C)

[(1 - v²/c²\()^{(-1/2)\) - 1] x 1.67 x 10⁻²⁷ kg x (3.00 x 10⁸ m/s)² / (1.60 x 10⁻¹⁹ C) = 51.6 x 10³ V

(1 - v²/c²\()^{(-1/2)\) - 1 = 3.07 x 10⁻¹¹

(1 - v²/c²\()^{(-1/2)\) = 1 + 3.07 x 10⁻¹¹

1 - v²/c² = (1 + 3.07 x 10⁻¹¹)⁻²

v = c x √(1 - (1 + 3.07 x 10⁻¹¹)⁻²

V = [(1 - (1 + 3.07 x 10⁻¹¹\()^{(-1)\)) x 1.67 x 10⁻²⁷kg x (3.00 x 10⁸ m/s)²] / (1.60 x 10⁻¹⁹ C)

V ≈ 117.3 MV

Therefore, a potential difference of approximately 117.3 MV would be needed to give protons the same kinetic energy as the electrons.

C. γp = V / (mc²/e)

= 117.3 x 10⁶ V / [(1.67 x 10⁻²⁷ kg) x (3.00 x 10⁸ m/s)² / (1.60 x 10⁻¹⁹ C)]

γp ≈ 1.85 x 10⁸

(1 - v²/c²\()^{(-1/2)\) = 1.85 x 10⁸

v = c x √(1 - 1/(1.85 x 10⁸)²)

v ≈ 0.999c

Therefore, the potential difference of 117.3 MV would give protons a speed of approximately 0.999 times the speed of light.

D. Expressing the speed as a percentage of the speed of light, we get: v/c x 100% ≈ 99.9%

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The total length of the conductor would be approximately 75.89 ft. Correct answer is A.

To calculate the total length of the conductor when the sag is 36 ft and the height of the support points is 20 ft, we can use the equation as given follows:

sag =\((L^2) / (8h)\)

Plugging in the given values:

36 =\((L^2) / (8 * 20)\)

Rearranging the equation to solve for L:

\(L^2 = 36 * 8 * 20 \\L^2 = 5760 \\L = \sqrt{(5760)\)

L ≈ 75.89 ft

Therefore, the total length of the conductor would be approximately 75.89 ft.

Since none of the given answer choices match the calculated result, the correct answer is: A. None of the choices are correct.

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The conversion in megayears, hours and seconds are :

\(1 \: para \: = \: 3.11 \times {10}^{8} \: megayears\)

\(1 \: para \: = \: 2.72 \times {10}^{18} \: hours\)

\(1 \: para \: = \: 9.81 \times {10}^{21} \: seconds\)

Given that :

1 para = 311040000000000 years

1 mega year = 1 million years :

311040000000000 years expressed in mega years will be :

Let : number of mega years = p

1 mega year = 1,000,000 years

p = 311040000000000 years

Cross multiply :

311040000000000 × 1 = 1,000,000 × p

311040000000000 = 1000000p

p = 311040000000000 / 1000000

p = 311040000 mega years

p = 3.1104 × 10^8 mega years

\(1 \: para \: = \: 3.11 \times {10}^{8} \: megayears\)

In hours :

In hours : 8760 hour = 1 year

Let : number of hours = p

1 year = 8760 hours

311040000000000 years = p

Cross multiply :

p = 8760 × 311040000000000

p = 2724710400000000000

p = 2.72 × 10^18 hours

\(1 \: para \: = \: 2.72 \times {10}^{18} \: hours\)

In seconds :

31536000 seconds = 1 year

Let : number of hours = p

1 year = 31536000 seconds

311040000000000 years = p

Cross multiply :

p = 31536000 × 311040000000000

p = 9808957440000000000000

p = 9.81 × 10^21 hours

\(1 \: para \: = \: 9.81 \times {10}^{21} \: seconds\)

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The energies εbonding and εantibonding for shf=0.070 can be evaluated using molecular orbital theory.In molecular orbital theory, the bonding and antibonding energies are calculated by solving the Schrödinger equation for the molecule.

The energy levels of the molecular orbitals are determined by the values of the molecular orbital coefficients and the energy of the atomic orbitals from which they are formed. Without more information about the molecule in question, it is difficult to provide a specific answer for the energies εbonding and εantibonding for shf=0.070. However, in general, the bonding energy level will be lower in energy than the corresponding antibonding level. The difference in energy between these two levels, referred to as the bonding energy gap, is a measure of the stability of the molecule. For shf=0.070, εbonding = -shf and εantibonding = shf. The bonding energy (εbonding) represents the stabilization of the molecular orbital due to the bonding interaction between atoms.

The antibonding energy (εantibonding) represents the destabilization of the molecular orbital due to the antibonding interaction between atoms. Step 1, Identify the given value of shf, which is 0.070 in this case. Step 2, Calculate the bonding energy (εbonding) by using the formula εbonding = -shf. Substitute the value of shf in the equation, εbonding = -0.070. Step 3, Calculate the antibonding energy (εantibonding) by using the formula εantibonding = shf. Substitute the value of shf in the equation, εantibonding = 0.070. So, for shf=0.070, the bonding energy (εbonding) is -0.070, and the antibonding energy (εantibonding) is 0.070.

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Titan is able to retain its atmosphere because it is very cold. The average temperature on Titan is -180 degrees Celsius, which is cold enough to liquefy methane.

The methane in Titan's atmosphere is very dense, which helps to keep the atmosphere from escaping.

Titan is also very far from the Sun, which means that it is not bombarded with the same amount of solar radiation as Earth. This solar radiation can cause the atmosphere of a planet to expand and escape.

Finally, Titan has a very thick atmosphere, which helps to keep the atmosphere from escaping. The atmosphere of Titan is about 100 times thicker than the atmosphere of Earth.

All of these factors contribute to Titan's ability to retain its atmosphere.

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Beta Centauri has a larger radius compared to Alpha Centauri B. This information allows us to determine their relative sizes despite not having specific measurements. The correct option is B.

While we know the colors and spectral types of the two stars, we do not have information on their sizes or radii. The color and spectral type of a star give us information on its temperature, luminosity, and chemical composition, but not necessarily its size. Therefore, we cannot determine the relative sizes of alpha centauri b and beta centauri based on this information alone.

Beta Centauri is a blue main sequence star, which means it is hotter and more massive than Alpha Centauri B, an orange main sequence star. In general, blue stars are larger in size compared to orange stars.

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The atomic radius of copper is approximately 128 picometers (pm).

The atomic radius of an element is defined as half the distance between the nuclei of two identical adjacent atoms in a molecule. In the case of metallic copper, the copper atoms are arranged in a crystal lattice, and the distance between two adjacent copper atoms in the lattice is known as the interatomic distance or lattice parameter.

We are given that the distance between two adjacent copper atoms in metallic copper is 256 pm. Since this is the distance between the nuclei of two adjacent atoms, the sum of the atomic radii of the two copper atoms is equal to 256 pm.

Therefore, the atomic radius of copper can be calculated as follows:

Atomic radius of Cu = (interatomic distance between adjacent Cu atoms) / 2

Atomic radius of Cu = 256 pm / 2

Atomic radius of Cu = 128 pm

Hence, the atomic radius of copper is approximately 128 picometers (pm).

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A soccer ball sitting on top of a hill.

Kinetic energy is energy that possesses due to its motion. Basically, a moving object has kinetic energy.

Potential energy is the energy held by an object due to its position relative to other object. Which means it has the possibility (potential) to become kinetic energy, but at that moment where it’s not moving, it’s potential energy.

Neurotransmitters carry chemical signals (“messages”) from one neuron (nerve cell) to the next target cell.

A neuron sending a signal (i.e., a presynaptic neuron) releases a chemical called a neurotransmitter, which binds to a receptor on the surface of the receiving (i.e., postsynaptic) neuron. Neurotransmitters are released from presynaptic terminals, which may branch to communicate with several postsynaptic neurons.

Hope this helps!

Answer:

-35 \(m/s^2\)

Explanation:

Deceleration is the complete opposite of acceleration and is calculated by adding a negative sign to the formula for finding acceleration.

Since acceleration is calculated by diving the change in velocity with time, deceleration will become:

 Deceleration =   -Δv/t, where Δv = change in velocity and t = time

In this case, Δv = 70 m/s and t = 2 s, hence;

Deceleration = -70/2 = -35 \(m/s^2\)

The deceleration is 35 \(m/s^2\).

Answer:

Once you have drawn the free-body diagram, you can use vector addition to find the net force acting on the object. We will consider three cases as we explore this idea:

Case 1: All forces lie on the same line.

If all of the forces lie on the same line (pointing left and right only, or up and down only, for example), determining the net force is as straightforward as adding the magnitudes of the forces in the positive direction, and subtracting off the magnitudes of the forces in the negative direction. (If two forces are equal and opposite, as is the case with the book resting on the table, the net force = 0)

Example: Consider a 1-kg ball falling due to gravity, experiencing an air resistance force of 5 N. There is a downward force on it due to gravity of 1 kg × 9.8 m/s2 = 9.8 N, and an upward force of 5 N. If we use the convention that up is positive, then the net force is 5 N - 9.8 N = -4.8 N, indicating a net force of 4.8 N in the downward direction.

Case 2: All forces lie on perpendicular axes and add to 0 along one axis.

In this case, due to forces adding to 0 in one direction, we only need to focus on the perpendicular direction when determining the net force. (Though knowledge that the forces in the first direction add to 0 can sometimes give us information about the forces in the perpendicular direction, such as when determining frictional forces in terms of the normal force magnitude.)

Example: A 0.25-kg toy car is pushed across the floor with a 3-N force acting to the right. A 2-N force of friction acts to oppose this motion. Note that gravity also acts downward on this car with a force of 0.25 kg × 9.8 m/s2= 2.45 N, and a normal force acts upward, also with 2.45 N. (How do we know this? Because there is no change in motion in the vertical direction as the car is pushed across the floor, hence the net force in the vertical direction must be 0.) This makes everything simplify to the one-dimensional case because the only forces that don’t cancel out are all along one direction. The net force on the car is then 3 N - 2 N = 1 N to the right.

Case 3: All forces are not confined to a line and do not lie on perpendicular axes.

If we know what direction the acceleration will be in, we will choose a coordinate system where that direction lies on the positive x-axis or the positive y-axis. From there, we break each force vector into x- and y-components. Since motion in one direction is constant, the sum of the forces in that direction must be 0. The forces in the other direction are then the only contributors to the net force and this case has reduced to Case 2.

If we do not know what direction the acceleration will be in, we can choose any Cartesian coordinate system, though it is usually most convenient to choose one in which one or more of the forces lie on an axis. Break each force vector into x- and y-components. Determine the net force in the x direction and the net force in the y direction separately. The result gives the x- and y-coordinates of the net force.

Example: A 0.25-kg car rolls without friction down a 30-degree incline due to gravity.

We will use a coordinate system aligned with the ramp as shown. The free-body diagram consists of gravity acting straight down and the normal force acting perpendicular to the surface.

We must break the gravitational force in to x- and y-components, which gives:

F_{gx} = F_g\sin(\theta)\\ F_{gy} = F_g\cos(\theta)F

gx

​

=F

g

​

sin(θ)

F

gy

​

=F

g

​

cos(θ)

Since motion in the y direction is constant, we know that the net force in the y direction must be 0:

F_N - F_{gy} = 0F

N

​

−F

gy

​

=0

(Note: This equation allows us to determine the magnitude of the normal force.)

In the x direction, the only force is Fgx, hence:

F_{net} = F_{gx} = F_g\sin(\theta) = mg\sin(\theta) = 0.25\times9.8\times\sin(30) = 1.23 \text{ N}F

net

​

=F

gx

​

=F

g

​

sin(θ)=mgsin(θ)=0.25×9.8×sin(30)=1.23 N

Answer:

B food coloring will move quicker in hot water because the molecules move faster when they are hot

Explanation:

SCIENCE! aaaaand my physics text book

Option B is correct:  The food coloring in the hot water will spread more quickly than in the cold water because water molecules move more quickly when hot since they have more kinetic energy.

According to the question, we place a drop of blue food coloring in a cup of cold water and another drop of food coloring in a cup of hot water and then observe the spreading of the blue color in both the cups.

Option B will be correct because the kinetic energy of the molecules of a gas or a liquid is directly proportional to the absolute temperature of the gas or the liquid.

High kinetic energy means that the molecules will have higher velocity, which will make it easier for any solvent to dissolve in water since it will spread faster.  

So the cup which has water at a higher temperature will have a faster spread of the food coloring.

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Answer:

1.08 hours

Explanation:

Distance = speed × time

Time = distance / speed

The time you spend driving is:

t = 50.0 km / (90.0 km/hr)

t = 0.555 hr

The time your friend spends driving is:

t = 50.0 km / (95.0 km/hr)

t = 0.526 hr

The total time is 0.555 hr + 0.526 hr = 1.08 hr.

Answer:

7n

Explanation:

add the 2 numbers together

As a detective investigating the incident, I would start by analyzing the evidence and gathering further information. Now, armed with this information, we can continue the investigation by considering factors such as the positioning of nearby flowerpots, the condition of the window.

Let's break down the given information and work through the investigation step by step:

Analysis of the smartphone video:

The video captured the falling flowerpot as it passed by a window.

In 8 frames, the flowerpot fell 0.84 of the height of the window.

The video was captured at 30 frames per second.

Window height measurement:

I visited the apartment and measured the window height to be 1.27 meters.

Based on this information, we can proceed with the investigation:

Calculate the distance the flowerpot fell in the 8 frames:

Since the video was captured at 30 frames per second, the total duration of the 8 frames is 8/30 seconds.

Let's denote the height of the window as H. In the 8 frames, the flowerpot fell 0.84 * H.

Therefore, the distance the flowerpot fell in those 8 frames is (0.84 * H) * (8/30) meters.

Calculate the actual height of the fall:

From the window height measurement, we know the height of the window is 1.27 meters.

The distance the flowerpot fell in those 8 frames is given by (0.84 * H) * (8/30) meters.

Setting this distance equal to the window height (1.27 meters), we can solve for H.

Let's perform the calculations:

(0.84 * H) * (8/30) = 1.27

Simplifying the equation:

0.224 * H = 1.27

H = 1.27 / 0.224

H = 5.669 meters

Therefore, the approximate height of the fall is 5.669 meters.

Now, armed with this information, we can continue the investigation by considering factors such as the positioning of nearby flowerpots, the condition of the window, any signs of foul play or tampering, and interviewing potential witnesses or residents who may have more information about the incident.

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The statement "The current through an ideal current source increases as the voltage across it increases" is FALSE.

Explanation:An ideal current source is a two-terminal device that delivers a constant amount of current to a circuit, regardless of the voltage that appears across its terminals.

The current is supplied by an active element, such as a transistor or operational amplifier, that acts as a controlled current source.

In an ideal current source, the current delivered is independent of the voltage across the source terminals.

That is, the voltage across an ideal current source can be any value, positive or negative, and the current will remain constant.

Therefore, the current through an ideal current source does not increase as the voltage across it increases.

So, the given statement "The current through an ideal current source increases as the voltage across it increases" is false.

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Answer:

8/15=0.53..., since the 3 is repeating, just stop at the 4th decimal place, thus

0.5333

Explanation: