two cars start moving from the same point. one travels south at 56 mi/h and the other travels west at 42 mi/h. at what rate (in mi/h) is the distance between the cars increasing two hours later? mi/h

Answer:

it is somewhat frozen

Explanation:

Answer:

The force is doubled as well.

Explanation:

If you double the spring then the force doubles as well.

If the deflection of the spring is doubled, the force exerted by the spring will also be doubled.

The relationship between the deflection of a spring and the force it exerts is described by Hooke's Law, which states that the force exerted by a spring is directly proportional to its deflection. Mathematically, this can be expressed as:

F = kx

where F is the force exerted by the spring, x is the deflection of the spring, and k is the spring constant, which represents the stiffness of the spring.

If we double the deflection of the spring, then x becomes 2x, and the force exerted by the spring becomes:

F = k(2x) = 2kx

Thus, if the deflection of the spring is doubled, the force exerted by the spring will also be doubled (assuming the spring constant remains constant).

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pavement is defined as the surface of Road or sidewalk.

for example, the surface of Expressway.

There are two types of pavement.

rigid pavement which consists of one layer.

flexible pavement which consist of multiple layers.

While driving on roads of rural areas, if our right wheel moves off the pavement, we should always hold the steering wheel firmly and then take our foot off the pedal, then apply brake lightly until we are moving at a low speed.

if you run off the pavement, you should: turn the steering wheel quickly toward the road steer straight and slow down before attempting to return to the pavement steer straight ahead and speed up apply the brakes hard

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Answer:

maybe C they pollinate flowers

Explanation:

because when you search you will see pollination

The natural frequency at which your arms swing back and forth will change if you are holding heavy objects in your palms. The frequency will rise if the right response (option A).

Your arms move in a manner akin to a pendulum as you swing them. The length and bulk of your arms dictate the natural frequency at which they swing back and forth.

Your arms gain bulk as a result of adding weight to your hands, increasing the natural frequency of your arm swing.

Your arm swing may feel more unnatural due to this increased frequency.

Maintaining your arm swing can be harder and could wear more quickly.

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Answer:

12.3°C should be the correct answer

Answer:

12.3

Explanation:

Answer:

D : An electron may act with either particle-like or wave-like characteristics.  

Explanation:

This is the whole basis of the Schrödinger equation.

The other options are correct, but they do not state the dual nature of the electron.

Answer:

D 5m/s

Explanation:

Answer:

i disagree because if you throw a ball in the air gravity will bring it down so only the force that moved it was needed.

Explanation:

The work done in pumping all the liquid out of the tank is 2500π lb-ft.

The potential energy of an object is given by the formula:

PE = mgh

Given:

Density of oil = 50 lb/ft^3

Diameter of the tank = 10 ft ( r = 5 ft)

To calculate the work done, we need to find the mass of the oil and the height it is lifted. Let's start by finding the mass:

Volume of oil in the tank:

The volume of a hemisphere = (2/3) * π * (r^3)

Volume = (2/3) * π * (5^3) = (2/3) * π * 125 = 250π/3 ft^3

Mass of the oil:

Mass = Volume * Density = (250π/3) * 50 lb

Now, we need to find the height of the tank. For a hemisphere, the height is equal to the radius (5 ft).

Finally, we can calculate the work done:

Work = PE = mgh = (250π/3) * 50 lb * 5 ft

Work = (250π/3) * 50 * 5 lb-ft

       = 2500π lb-ft

So, the work done in pumping all the liquid out of the tank is approximately 2500π lb-ft.

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Answer:

c

Explanation:

she say that a decrease in temperature increases the volume of helium gas

Answer: c

Explanation:

To avoid an error of more than 18 in the speed of light due to human reaction time (δt = 0.2 s), Galileo and his assistant must be separated by a distance of at least d = cδt/18, where c is the speed of light.

Let's first consider the maximum error in the speed of light introduced by the human reaction time. The distance light travels in time δt = 0.2 s is given by:

d_max = c × δt

where c is the speed of light. The error introduced in the measurement of the speed of light due to the human reaction time is given by:

Δv = c × δt / d

where d is the distance between Galileo and his assistant. We want to find the maximum value of d that would introduce no more than an 18 error in the speed of light. Therefore, we can set up the following equation:

Δv / c = 18 / 100

Substituting the values of Δv and c, we get:

(c × δt / d) / c = 18 / 100

Simplifying, we get:

d = c × δt / (18 / 100) = (3 × 10^8 m/s) × (0.2 s) / (18 / 100) = 3.33 × 10^6 m

Therefore, the distance d must separate Galileo and his assistant in order for the human reaction time to introduce no more than an 18 error in the speed of light is approximately 3.33 million meters.

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Answer:

Please find attached, the required wave drawn with MS Excel

Explanation:

Functions that represent waves is given as follows

A general form of the wave equation is A·sin(B·x) + D

Where;

B = 2·π/T

T = The period of the wave = 1/f

D = The vertical shift of the wave = 0

A = The amplitude of the wave = 1 for sine wave

v = The wave velocity

λ = The wavelength of the wave

f = The frequency of the wave

v = f·λ

At constant v, λ ∝ 1/f  

∴ λ ∝ T

Where T = 3, we have;

B = 2·π/T

∴ B = 2·π/3

Therefore, we have the wave with an amplitude of 1 cm, and wavelength, 3 cm, given as follows

y = sin((2·π/3)·x)

Plotting the above wave with MS Excel, we can get the attached wave

Answer: Gravitational force is 2.82 x 10^4 N

Formula to calculate gravitational force is:

F = G * (m1 * m2) / r^2

where  F = gravitational force,

            G = gravitational constant

            m1 and m2 = the masses of the two objects

            r = distance between the objects.

In this case,

mass of the spaceship (m1) = 2000 kg

mass of Earth (m2) = 5.97 x 10^24 kg.

distance between the spaceship and Earth's center =6.37 x 10^6 m

Putting these values into the formula, we get:

F = 6.67 x 10^-11 * (2000 kg * 5.97 x 10^24) / (6.37 x 10^6 + 11 x 10^5)^2

By simplification we get,

F = 6.67 x 10^-11 * (1.194 x 10^28) / (7.03 x 10^11)

F = 2.82 x 10^4 N

Thus, the gravitational force acting on the spaceship due to Earth's gravity is approximately 2.82 x 10^4 N.

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Answer:

2 m/s

Explanation:

Given that,

Mass of a man, m₁ = 75 kg

Mass of object, m₂ = 5 kg

Velocity of the object, v₂ = 30 m/s

We need to find the recoil velocity of the man. Let it is v₁. In the whole process, the momentum of the system will remain conserved such that,

\(m_1v_1=m_2v_2\\\\v_1=\dfrac{m_2v_2}{m_1}\\\\v_1=\dfrac{5\times 30}{75}\\\\v_1=2\ m/s\)

So, the recoil velocity of the man is 2 m/s

The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)

The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.

To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).

The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).

In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).

Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.

If co > co_critical, the system is considered overdamped (Option E).

If co = co_critical, the system is considered critically damped (Option D).

If co < co_critical, the system is considered underdamped (Option C).

Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.

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A) Circuit A represents a circuit where the ammeter correctly measures the current in the headlight.

B) For Circuit A, the current flowing through the ammeter would be 6 A, as the ammeter has no resistance and is connected in series with the headlight.

C) For Circuit B, the current flowing through the ammeter would be 6 A - 0.1 A = 5.9 A.

An ammeter is an electrical instrument used to measure electrical current. It is connected in series with the circuit and measures the current directly. The ammeter is a type of galvanometer, which is a device used to detect and indicate small electric currents. The ammeter works by generating a magnetic field around the current-carrying conductor and measuring the strength of the field with an electromagnet. The strength of the field is directly proportional to the current flowing through the conductor. The ammeter can measure both direct and alternating currents. It has a low resistance and is usually connected in series with the circuit to ensure that all the current flows through it. The ammeter can also measure very small currents, making it an important instrument in the study of electricity.

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Answer:

Mass and kinetic energy have a positive relationship, which means that as mass increases, kinetic energy increases, if all other factors are held constant.

In this state, Kinetic energy is equal to half of the product mass and velocity. SI unit is joules. So it's if the mass is doubled then the kinetic energy also gets doubled.

The formula for calculating density is expressed as

Density = mass/volume

From the information given,

mass of empty pycnometer = 10.2

mass of the same pycnometer with an unknown liquid is 21.8.

Mass of unkown liquid = 21.8 - 10.2 = 11.6

volume of unknown liquid = 7

Thus,

Density = 11.6/7

Density = 1.7 g/ml

Answer:

Nervous system messages travel through neurons as electrical signals. When these signals reach the end of a neuron, they stimulate the release of chemicals called neurotransmitters. Neurotransmitters travel across synapses, spaces between neurons or between neurons and other body tissues and cells.

Explanation:

The time taken by the croissant before it strike on the head is 5.4 s

Lets assume the height of the man is 1.3 m

Given height of the Eiffel Tower is 144.3 m

So the distance croissant travel before it hits the man on the head

= 144.3 - 1.3 m

= 143 m

According to the Second Equation of Motion which relates distance with the acceleration and time, we can say that

\(S = ut + \frac{1}{2} a t^{2}\)

here u = 0

a = g = 9.81 m/s²

S = 143 m

therefore \(S = \frac{1}{2} gt^{2}\)

\(t = \sqrt{\frac{2S}{g} }\)

\(t = \sqrt{\frac{2 * 143}{9.81} }\)

\(t = \sqrt{29.154}\)

t = 5.4 s

Therefore, if the air resistance is neglected the croissant will drop 5.4 s before it tagged the man on his head.

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The angular velocity depends on the length of the orbit and the orbital

speed of the telescope.

Response:

First question:

Second question:

Third question:

The distance of the James Webb telescope from the Sun = 1.5 million kilometers from Earth on the side facing away from the Sun

The orbital velocity of the telescope = The Earth's orbital velocity

First question:

\(Angular \ velocity = \mathbf{\dfrac{Angle \ turned}{Time \ taken}}\)

The orbital velocity of the Earth = 29.8 km/s

The distance between the Earth and the Sun = 148.27 million km

The radius of the orbit of the telescope = 148.27 + 1.5 = 149.77

Radius of the orbit, r = 149.77 million kilometer from the Sun

The length of the orbit of the James Webb telescope = 2 × π × r

Which gives;

r = 2 × π × 149.77 million kilometers ≈ 941.03 million kilometers

Therefore;

\(Angular \ velocity = \dfrac{29.8}{941.03}\times 2 \times \pi \approx 0.199\)

Second question:

Centrifugal force force, \(F_{\omega}\) = m·ω²·r

Which gives;

\(F_{\omega} = m \cdot \dfrac{28,500^2 \, m^2/s^2}{149.77 \times 10^9 \, m} \approx 0.0054233 \cdot m\)

\(Gravitational \ force, F_G = \mathbf{G \cdot \dfrac{m_{1} \cdot m_{2}}{r^{2}}}\)

Universal gravitational constant, G = 6.67408 × 10⁻¹¹ m³·kg⁻¹·s⁻²

Mass of the Sun = 1.989 × 10³⁰ kg

Which gives;

\(F_G = 6.67408 \times 10^{-11} \times \dfrac{1.989 \times 10^{30} \times m}{149.77 \times 10^9} \approx 0.00592 \cdot m\)

Which gives;

\(F_{\omega}\) < \(F_G\), therefore, the James Webb telescope has to accelerate away from the Sun

F = \(\mathbf{F_{\omega}}\) - \(\mathbf{F_G}\)

The amount by which the telescope accelerates away is approximately 0.00592·m - 0.0054233·m ≈ 0.0005·m (away from the Sun)

Third part:

Other forces include;

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The toy would have to be moving at approximately 6.66 m/s in order to snap the fishing line.

To determine the speed at which the toy would snap the fishing line, we need to consider the tension in the line caused by the centripetal force required to keep the toy moving in a horizontal loop.

The centripetal force (Fc) can be calculated using the formula:

Fc = m * v^2 / r

Where:

m is the mass of the toy (500 g = 0.5 kg)

v is the velocity of the toy

r is the radius of the circular motion (assuming the length of the fishing line is the radius)

The tension in the line (T) must be equal to or greater than the centripetal force to prevent the line from snapping. Therefore, we can equate T to Fc:

T = m * v^2 / r

Since the tension is limited to 22.2 N, we can set up the following equation:

22.2 N = 0.5 kg * v^2 / 1 m

Simplifying the equation:

22.2 N = 0.5 kg * v^2

v^2 = 22.2 N / 0.5 kg

v^2 = 44.4 m^2/s^2

Taking the square root of both sides:

v ≈ √44.4 m^2/s^2

v ≈ 6.66 m/s

Therefore, the toy would have to be moving at approximately 6.66 m/s in order to snap the fishing line.

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When the moon first formed, it was only 14,000 miles above the Earth's surface outside the Roche limit.

The distance between two celestial bodies which are held together with the force of gravity between them, is called the Roche limit or Roche radius.

The order for our moon is that,

When the moon first formed, it was only 14,000 miles above the Earth's surface outside the Roche limit.

It took only to 100 years to form.

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Essential amino acids are high biological value proteins (option C).

Biological value is the ratio between the amount of amino acids that can be retained (retention) by the body (for body protein synthesis) with the amount of amino acids that can be absorbed by the small intestine.

The quality of protein is determined by the type and proportion of amino acids it contains. Proteins with high biological value or high quality are proteins that contain all types of essential amino acids suitable for growth.

Proteins that are easily digested (hydrolyzed) by digestive enzymes, and contain complete and balanced amounts of essential amino acids (according to the body's needs), are proteins of high nutritional value.

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Answer:

mehoy noy

Explanation:

The electric field due to this charge distribution can be found by applying Gauss' law. The electric field at any point in space is the net sum of all the electric fields due to the individual charges.

Gauss' law states that the electric flux through any closed surface is equal to the charge enclosed by the surface divided by the permittivity of free space.

To calculate the electric field due to the charge distribution, the first step is to divide the quarter-circle into small segments. Each segment will have a charge q, and will be of width dx. The total charge in the quarter-circle is then given by the integral of q multiplied by dx from 0 to 2πa.

The electric field at any point P in the first quadrant is then given by the integral of q/4πε0 r2 multiplied by dx from 0 to 2πa, where r is the distance from the point P to the center of the quarter-circle. This gives the electric field at P to be:

E = (1/4πε0)∫ 0 to 2πa q/r2 dx

The electric field due to the charge distribution is therefore a function of the distance from the point P to the center of the quarter-circle, and is inversely proportional to the square of this distance.

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At the geosynchronous orbit, the dipole magnetic field strength is 0.3 nT.

This means that the dipole magnetic field strength at geosynchronous orbit is around 10 000 nT. At the geosynchronous orbit, the strength of the dipole magnetic field is 0.3 nT. The dipole magnetic field is the simplest type of magnetic field that we know. It's generated by the magnetic moment of a simple magnet. This field, in contrast to other magnetic fields, is symmetric about a specific axis.

A geosynchronous orbit is a circular orbit that is equatorial and orbits the Earth. It has a period of 24 hours, which is the same as the Earth's rotation time. Since the Earth is not a perfect dipole, the dipole magnetic field strength varies at different locations. At the equator, the dipole magnetic field strength is 30 000 nT on the surface.

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Compared to Venus, Earth's volcanoes produced significantly less carbon dioxide gas. Carbon dioxide was originally abundant on Earth, but it was lost to space during the violent bombardment that occurred early in the history of our solar system.

Everything boils down to water. Although there are large oceans of liquid water on Earth, Venus and Mars' atmospheres are predicted to be dominated by carbon dioxide. Since carbon dioxide is easily dissolved in water, our oceans absorbed a large portion of the atmospheric CO2, leaving an ammonia-dominated environment. Evidently, Venus is close enough to the Sun that the small amount of carbon dioxide in its early atmosphere, which was similar to Earth's, led the surface to warm and release additional carbon dioxide into the atmosphere.

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Answer:

C. 199.9 s

Explanation:

3 minutes = 3×60 = 180 seconds.

the turtle moves in that time 180×10 = 1800 cm.

in other words the rabbit gave it that much head-start (it does not matter if that was at the begin of in the middle of the race).

the rabbit moves with 10×10cm/s = 100cm/s.

the rabbit needs therefore 1800/100 = 18 seconds for the

1800 cm.

at that time the turtle has added another 18×10 = 180 cm.

for which the rabbit needs 180/100 = 1.8 seconds.

during that time the turtle has added 1.8×10 = 18 cm.

and so on.

in formal mathematics this looks like this :

1800 + 10x = 100x

after x seconds of the rabbit running both will have run the same distance, and it is a tie.

1800 = 90x

x = 20 seconds

so, at that point, the rabbit was actively running for 20 seconds and raced 20×100 = 2000 cm

and the turtle was actively running for 180 + 20 = 200 seconds, and also covered 200×10 = 2000 cm.

but our question tells us that the turtle won by 10 cm.

so, the race was over a little bit before these 200 seconds (for a tie).

this means, the rabbit could not run the last 10 cm for the tie (because the race was over and the turtle had won).

the rabbit would have needed 10/100 seconds for these 10 cm.

as speed = distance/time

we need to divide distance by speed

distance/1 / distance/time

to get time.

so,

10cm/1 / 100cm/s = 10s/100 = 1/10 s

so, we need to deduct this 1/10 s from the 200 seconds of the turtle (and also from the 20 seconds for the rabbit).

the race lasted of course the whole time the turtle was running (while the rabbit was resting, officially still participating in the race with speed 0 for 3 minutes).

and so, the race was 199.9 s long.