How does pressure depend upon force applied ?​

The airplane will strike the ground at a horizontal distance of 490 meters.

To determine how far the airplane will strike on the ground, we need to consider the horizontal distance traveled by the airplane during its flight.

The horizontal distance traveled by an object can be calculated using the formula:

Distance = Speed × Time

In this case, the speed of the airplane is given as 100 meters per second and the time it takes to cover the distance of 490 meters is unknown. Let's denote the time as t.

Distance = 100 m/s × t

Now, to find the value of time, we can rearrange the equation as follows:

t = Distance / Speed

t = 490 m / 100 m/s

t = 4.9 seconds

Therefore, it takes the airplane 4.9 seconds to cover a horizontal distance of 490 meters.

Now, to calculate the distance on the ground where the airplane will strike, we can use the formula:

Distance = Speed × Time

Distance = 100 m/s × 4.9 s

Distance = 490 meters

It's important to note that this calculation assumes a constant speed and a straight flight path. In reality, various factors such as wind conditions, changes in speed, and maneuvering can affect the actual distance traveled by the airplane.

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The value of  the missing resistance, R₃ = 10.35 ohms.

The value of the missing voltages, V₁ = 6 V, V ₃ = 24 V.

The value of the missing currents, I₁ = 3 A, I₃ = 2.32 A.

The values of the missing component of the circuit is calculated by applying the following formula.

The total resistance of the circuit;

For R₂, R₃, 1/R = 1/R₂ + 1/R₃

1/R = 1/12 +  1/R₃

1/R = (R₃ + 1)/(12R₃)

R = 12R₃ / (R₃ + 1)

For, R₁, R₂ and R₃, total resistance;

R = 12R₃ / (R₃ + 1) + R₁

R = [12R₃ / (R₃ + 1)] + 2

R = (12R₃ + 2(R₃ + 1) ) / (R₃ + 1)

R = (12R₃ + 2R₃ + 2 ) / (R₃ + 1)

R = (14R₃ + 2 ) / (R₃ + 1)

The total current in circuit is calculated as;

I = V/R

I = 30 / R

I = ( 30 ) / (14R₃ + 2 ) / (R₃ + 1)

I = (30R₃ + 30) / (14R₃ + 2) ------- (1)

The voltage in parallel circuit is the same

V₂ = V₃ = 24 V

V₃ = IR₃

24 = IR₃

I = 24/R₃  --------- (2)

Solve (1) and (2) together as follows;

24/R₃ = (30R₃ + 30) / (14R₃ + 2)

30R₃² - 306R - 48 = 0

Solve the quadratic equation, using formula method.

R₃ = 10.35 ohms

I₃ = V₃/R₃

I₃ = 24 V / 10.35

I₃ = 2.32 A

If the voltage drop at R₂ and R₃ = 24 V, the voltage drop at R₁ = 30V - 24 V = 6 V

The current in R₁ = V₁/R₁ = 6 V / 2 V = 3 A

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Answer:

\(F=3.61\times 10^{-47}\ N\)

Explanation:

Mass of a proton, \(m_p=1.67\times 10^{-27}\ kg\)

Mass of an electron, \(m_e=9.11\times 10^{-31}\ kg\)

The distance between the electron and the proton is, \(r=5.3\times 10^{-11}\ m\)

We need to find the mutual attractive gravitational force between the electron and proton. The gravitational force is given by :

\(F=G\dfrac{m_em_p}{r^2}\)

Where G is the universal Gravitational constant

\(F=6.67\times 10^{-11}\times \dfrac{9.11\times 10^{-31}\times 1.67\times 10^{-27}}{(5.3\times 10^{-11})^2}\\\\F=3.61\times 10^{-47}\ N\)

So, the force between the electron and proton is \(3.61\times 10^{-47}\ N\).

The resultant of the displacement is 336.5m

The process of splitting a vector into its components is called resolution of the vector. The vectors are splitted into vertical and horizontal component.

For the first displacement;

The vertical component = - 150 sin45 = -106.1 m

The horizontal component = - 150 cos 45° = -106.1 m

For the second displacement;

The vertical displacement = - 85sin90 = -85

The horizontal component = 0

For the third displacement;

The vertical displacement = 550 sin55 = 450.5

The horizontal displacement = 550 cos 55 = 315.5

Sum of vertical component = 450.5-85-106.1 = 263.4

sum of horizontal component = 315.5 -106.1 = 209.4

Using Pythagorean theorem

R = √ 263.4² + 209.4²

R = √113227.92

R = 336.5m

The resultant angle = tan^-1( 263.4/209.4)

= tan^-1(1.26)

= 51.56°

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The exponential form is y = 1264 (1/8)ˣ.

Number of copies sold in first month = 1264

Factor by which the number of copies sold to be increased = 1/8

The exponential form can be written as,

y = abˣ

where a is the number of copies sold in first month, b is the factor by which the selling rate increased, x is the number of months and y is the total copies sold at the end of x months.

Therefore,

y = 1264 (1/8)ˣ

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The statement" The direction of the force on the charge placed in the electric field is upward" is false because the direction of the force on a negative charge (-6 C) placed in an upward-directed uniform electric field of magnitude 24 N/C would be downward.

The direction of the force on a charged particle placed in an electric field is determined by the charge of the particle and the direction of the electric field. In this case, a charge of -6 C is placed in an electric field directed upward with a magnitude of 24 N/C.

The force on a charged particle in an electric field can be calculated using the formula:

F = q * E

Where F is the force, q is the charge of the particle, and E is the electric field.

Since the charge q in this case is negative (-6 C) and the electric field E is directed upward, we can substitute the values into the formula:

F = (-6 C) * (24 N/C)

F = -144 N

The negative sign in the force value indicates that the force is in the opposite direction to the electric field. Therefore, the force on the charge placed in the electric field is downward, not upward.

The force on a negative charge is always opposite to the direction of the electric field. This is because negative charges experience an attractive force towards positive charges, and electric fields are directed from positive charges to negative charges.

Therefore, the statement "The direction of the force on the charge placed in the electric field is upward." is false.

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A capacitor with two lines of charge on its parallel plates. The bottom plate has an equal line of negative charges that are the opposite in charge to the positive charges on the top plate, while the top plate has a line of positive charges.

As a result, an electric field (E-field) is produced between the plates that can be measured with a sensor.

In a parallel-plate capacitor, the E-field between the plates is uniform and pointed perpendicularly to the plates. It is represented by the equation E = σ/ε, where ε is the permittivity of the medium between the plates and σ is the charge density (charge per unit area) on the plates.

In this instance, the charge density on the top and bottom plates is the same but with opposing signs since the lines of charges on the plates are equal in size and opposite in charge. Assume that the top plate has positive charges and the bottom plate has negative charges, and that the charge density on both plates equals.

A sensor placed between the capacitor's plates will now allow us to measure the E-field, which will reveal that it is constant and perpendicular to the plates. E = σ/ε, where σ, is the charge density and is the permittivity of the medium between the plates, will be the magnitude of the E-field.

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Answer:

The Michelson-Morley was designed to detect the motion of the earth through the ether.

No such relation was found and the speed of light is assumed to be the same in all reference frames.

The Michelson-Morley experiment was designed to measure: A. the velocity of the Earth relative to the ether.

Michelson-Morley experiment is an experiment which was first performed in Germany by the American physicist named, Albert Abraham Michelson between 1880 to 1881.

However, the experiment was later modified and refined by Michelson and Edward W. in 1887.

The main purpose of the Michelson-Morley experiment was to measure the velocity of planet Earth relative to the luminiferous ether, which is a medium in space that is hypothetically said to carry light waves.

In conclusion, the Michelson-Morley experiment was designed to measure the velocity of the Earth relative to the hypothetical luminiferous ether.

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Answer:

50

Explanation:

500/10 = 50

Answer:

Snell's law says that

n1*sin(a1) = n2*sin(a2)

n1 < n2

son n2/n1 > 1

then:

sin(a1) = (n2/n1)sin(a2)

the maximum possible value of sin(x) is 1 when x =90°

total internal reflection means that a2= 90°

but as the coefficient that is multiplying sin(a2) is bigger than 1, we can not have a2 = 90°, because the right side will be greater than 1 and the left side can not be bigger than 1, so we can not have a2 = 90°, so we can not have total internal reflection

The maximum possible value of sin(x) is 1 when x =90°total internal reflection means that a2= 90°.

Snell's law asserts that the ratio of the sines of the angle of incidence 1 and angle of refraction 2 for a given set of media is equal to the ratio of phase velocities (v1 / v2) in the two media, or equivalently, the refractive indices (n2 / n1).

If n1*sin(a1) = n2*sin(a2) and n1 n2 son n2/n1 > 1 according to Snell's law, then:

(n2/n1)sin = sin(a1) (a2)

When x =90°, the maximum feasible value of sin(x) is 1.

Total internal reflection indicates a2=90°, but because the coefficient multiplying sin(a2) is more than 1, we can't have a2 = 90° because the right side will be greater than 1 and the left side will be smaller than 1, therefore we can't have a2 = 90°. so we dont have total reflection.

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Answer: 651,200 J

Explanation:

The total mechanical energy of the car is determined as 651,200 J.

Option A is the correct answer.

The total mechanical energy of the car is the sum of the kinetic energy and potential energy of the car.

Mathematically, the total mechanical energy of the car is given as;

M = K.E + P.E

where;

M = ¹/₂mv² + mgh

where;

The given parameters include;

M = ¹/₂(1100)(20²) + (1100)(9.8)40)

M = 651,200 J

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Answer:

Solution: Given, the wavelength of the photon particle = 500 nm. In order to calculate the frequency of the photon particle, we use the formula given above. The frequency of the wave is equal to 6×10-4 Hz.

Originally Answered: The frequency of a green light is 6×10^14. What is its wavelength? In your case, the wavelength is 500 nm. What is the wavelength of 675 kHz? Should you leave more than $1,000 in a checking account? What is the frequency of a light that has a wavelength of 550 nm? Why would you even want to know this?

You have been given the wavelength λ (pronounced lambda) in nanometers, but not the frequency. Fortunately, a relationship between wavelength, frequency, and the speed of light, c exists, such that c = λ ⋅ ν. To determine the frequency from the wavelength, divide c by λ:

Calculate the energy, in joules, of a photon of green light having a wavelength of 562nm? The answer is 3.54 ×10−19 J. The equation for determining the energy of a photon of electromagnetic radiation is E = hν, where E is energy in Joules, h is Planck's constant, 6.626 × 10−34J ⋅ s, and ν (pronounced "noo") is the frequency.

Explanation:

the difference between a resultant and equilibrant vector is that resultant vector is a direct quantity, one with both magnitude and direction, while the equilibrant vector is a force equal to, but opposite of, the resultant sum of vector forces, that force which balances other forces.

Answer:

Homeostasis is the ability of the body to maintain balance inside the cells, even as the surrounding environment changes

The correct option is (1)Homeostasis is the ability of the body to change to match the surrounding environment.

Homeostasis is the ability of an organism or system to maintain a stable internal environment, despite changes in external conditions. This is achieved through a variety of physiological and behavioral mechanisms that help regulate various bodily functions such as temperature, blood sugar levels, hydration, and oxygen levels.

The process of homeostasis involves the detection of changes in the internal or external environment, followed by a response that helps restore the optimal conditions. For example, if the body's temperature rises above normal levels, the brain triggers sweat production to cool down the body.

Homeostasis is essential for the proper functioning of cells, tissues, organs, and the entire organism. It helps maintain a balance between various bodily functions and ensures that cells have the necessary conditions to carry out their functions. Without homeostasis, cells would be unable to survive and carry out the functions required for life.

Hence the correct statement about homeostasis is, Homeostasis is the ability of the body to change to match the surrounding environment.

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Answer:

D - Water

Explanation:

Answer:

6

Explanation:

150 seconds divided by 25 meters per seconds = 6

It does not use batteries. It is powered by a steel spring.

Potential energy transforms into kinetic energy, which is used to move the watch's arms, as the spring unwinds itself.

The spring in a wound-up watch has potential energy. The potential energy transforms into kinetic energy as the spring unwinds. The watch's arms are actually moved by this kinetic energy.

due to the wound spring's arrangement, which gives it (elastic) potential energy. The hands of the clock revolve as the spring unwinds, converting potential energy into kinetic energy.

elastic potential energy that a spring can store. Elastic potential energy is the energy that is stored when an elastic material, like a spring, is deformed.

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Answer:

4.80 seconds

Explanation:

The velocity of sound is obtained from;

V= 2d/t

Where;

V= velocity of sound = 329.2 ms-1

d= distance from the wall = 790.5 m

t= time = the unknown

t= 2d/V

t= 2 × 790.5/ 329.2

t= 4.80 seconds

The time is taken by the sound to reach the hiker will be  t= 4.80 seconds

The sound velocity is defined as the distance traveled by the sound wave in a particular direction with respect to time.

The velocity of sound  is given by the formula:

\(V=\dfrac{2d}{t}\)

Here;

V= velocity of sound = 329.2  \(\frac{m}{s^2}\)

d= distance from the wall = 790.5 m

t= time = the unknown

The time will be calculated as:

\(t=\dfrac{2d}{V}\)

\(t=\dfrac{2\times 790.5}{329.2}\)

\(t=4.80\ seconds\)

Hence the time is taken by the sound to reach the hiker will be  t= 4.80 seconds

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Suppose you are in mission control on the moon, in charge of launching a moon-orbiting communications satellite.

a) 2430 N.

b) 1.84 x 10^6 m.

c) F = m * v^2 / r

d) 2157 m/s

e) 2.87 x 10^4 s

f)1.17 x 10^-3 m/s^2

a. The weight of the satellite near the surface of the moon would be the mass of the satellite multiplied by the acceleration due to gravity on the moon. The acceleration due to gravity on the moon is about 1.62 m/s^2, so the weight of the satellite would be

1500 kg * 1.62 m/s^2 = 2430 N.

b. The radius of the orbit of the satellite would be the distance from the center of the moon to the altitude of the satellite. The radius of the moon is 1.74 x 10^6 m, so the radius of the orbit of the satellite would be

1.74 x 10^6 m + 100 km = 1.84 x 10^6 m.

c. The centripetal force is the force that is required to keep an object in circular motion. It is equal to the mass of the object times its velocity squared, divided by the radius of its orbit. To find the centripetal force on the satellite, we need to know its velocity. We can find this using the equation for the centripetal force, which is:

F = m * v^2 / r

where F is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the orbit.

d. To find the required orbital velocity for the satellite, we can rearrange the equation for the centripetal force to solve for v:

v = sqrt(F * r / m)

Plugging in the values, we get:

v = sqrt(2430 N * 1.84 x 10^6 m / 1500 kg) = 2157 m/s

e. The orbital period is the time it takes for an object to complete one orbit. It is equal to the circumference of the orbit divided by the velocity of the object. The circumference of the orbit is 2 * pi * r, where r is the radius of the orbit. The velocity of the object is the orbital velocity we calculated above. Plugging these values into the equation, we get:

T = 2 * pi * r / v

Plugging in the values, we get:

T = 2 * pi * 1.84 x 10^6 m / 2157 m/s = 2.87 x 10^4 s

f. Yes, the satellite is accelerating while in orbit. The direction of the acceleration is towards the center of the orbit, and the magnitude of the acceleration is the centripetal acceleration, which can be calculated using the equation:

a = v^2 / r

Plugging in the values, we get:

a = 2157 m/s^2 / 1.84 x 10^6 m = 1.17 x 10^-3 m/s^2

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The metal with the highest heat capacity between metals A.25 B.35 C.10 and D.15 is metal A.

Heat capacity is the amount of heat required to raise the temperature of a substance by one degree Celsius. Metal A has a heat capacity of 400 J/kg°C, which means that it takes 400 joules of heat to raise the temperature of one kilogram of metal A by one degree Celsius.

Metal B has a heat capacity of 285.7 J/kg°C, metal C has a heat capacity of 1000 J/kg°C, and metal D has a heat capacity of 666.7 J/kg°C. Therefore, metal A has the highest heat capacity of the four metals.

Metal A's high heat capacity means that it can absorb a lot of heat without its temperature changing very much. This makes metal A a good material for things like heat sinks and thermal insulation.

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Answer:

μ = mg/kx

Explanation:

Since the bock does not slip, the frictional force equals the weight of the block. So, F = mg. Now, the frictional force, F = μN where μ = coefficient of static friction and N = Normal force.

Now, the normal force equals the spring force F' = kx where k = spring constant and x = compression of spring.

N = F' = kx

So, F = μN = μkx

μkx = mg

So, μ = mg/kx

The answer is 1) The pressure at point D is 80 kPa. 2) The temperature at point D is 800 K. 3) The net work done on the gas over four cycles is zero. 4) The internal energy of the gas at point A is 100 J. 5) The total change in internal energy during four complete cycles is zero.

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If you pull with a constant force of 400 N for 0.2 meters, then the work done will be equal to 80 J.

In physics, the word "work" involves the measurement of energy transfer that takes place when an item is moved over a range by an externally applied, at least a portion of which is applied within the direction of the displacement.

The length of the path is multiplied by the element of a force acting all along the path to calculate work if the force is constant. The work W is theoretically equivalent towards the force f times the length d, or W = fd, to portray this concept.

As per the given information in the question,

Force, f = 400 N

Displacement, d = 0.2 meters

\(Work done(W)=Force(f)*Displacement(d)\)

W = 400 × 0.2

W = 80 J.

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In general, option c - warming it up on the stove - is often an effective method to increase the reaction rate.

Increasing the temperature of a reaction generally leads to faster reaction rates. This is because higher temperatures provide more thermal energy to the reactant particles, causing them to move faster and collide more frequently. The increased collision frequency and energy lead to more successful collisions and a higher likelihood of effective molecular interactions, which speeds up the reaction. On the other hand, options a and b - putting it in the fridge where it is cold or covering it with a blanket to make it dark - are unlikely to have a significant effect on the reaction rate. While temperature can influence reaction rates, cooling the reaction or making it dark typically reduces the kinetic energy of the particles, resulting in slower reaction rates. Option d - there is nothing you can do to change the speed of the reaction - is not accurate. The reaction rate can be influenced by various factors such as temperature, concentration, catalysts, and surface area, among others. By manipulating these factors, it is often possible to control and change the speed of a reaction. Hence option c, is correct

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Answer:

1/2mv²=0

1/2(4kg)(v²)=0

2=-v²

square root -2=v

v=1.414

Block A of mass 1 kg and block B has a mass of 3 kg, then the blocks collide and stick together so the kinetic energy of block A is one-third of the kinetic energy of the block.

Kinetic energy is a type of power that an item or particle possesses as a result of motion. When an item undergoes work—the transfer of energy—by having subject to a net force, it accelerates and consequently obtains kinetic energy. An object in motion or particle's kinetic energy, which depends on both mass and speed, is one of its features. Any combination of motions, including translation, rotation about an axis, and vibration, may be used as the type of motion.

A body's translational kinetic energy is equal to 1/2mv², or one-half of the sum of its mass, m, and the square of its velocity, v.

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Answer:

winds

Explanation:

A hurricane's most devastating region is the winds located just outside of the eye is the eye wall. This is the location within a hurricane where the most damaging winds and intense rainfall is found.

Answer:

-0.54m/s²

Explanation:

According to Newton's second law of motion

F = ma

Force = mass * acceleration

Given

Mass m = 4490kg

Take the sum of forces

Sum of force along the east = 890+1210 = 2100N

Sum of forces along the west = -4520N

Net force = -4520+2100

Net force = -2420N

Acceleration = Net force/Mass

Acceleration = -2420/4490

Acceleration = -0.54m/s²

Hence the boat acceleration is -0.54m/s²

Answer:

yes but not sure

Explanation:

i don't know so much but I just guessed I'm not sure

A reaction will be spontaneous if the change in Gibbs free energy is less than 0. So, the correct option is A.

The Gibbs free energy, sometimes referred to as the Gibbs function, Gibbs energy, or free enthalpy, is a thermodynamic potential that is used to determine the greatest amount of work that can be done in a particular thermodynamic system when the system's temperature and pressure are held constant. An abbreviation for Gibbs free energy is G.

Since it is a kind of energy as well, its value is frequently stated in Joules or Kilojoules. Gibbs free energy is outlined as the most work that can be accomplished using a closed thermodynamic system.

The equation is given as:

G = H - TS

Where,

G = Gibbs free energy

H = enthalpy

T = temperature

S = entropy

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Answer:

F = - K x        force is opposed to direction of extension

F = -100 N / m * .5 m = -50 N