An airplane flies with a constant speed of 560 miles per hour. How long will it take to travel a distance of 840 miles?​

As a result, the racer's final velocity is 13.00 m/s after accelerating at 0.500 m/s2 for 7.00 s.

Velocity is a vector representation of an object's or particle's displacement with respect to time. The meter per second (m/s) is the standard unit of velocity magnitude (also known as speed). Alternatively, velocity magnitude can be expressed in centimeters per second (cm/s). The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change.

Here,

The final velocity can be found using the equation of motion,

vf = vi + at,

where vf is the final velocity, vi is the initial velocity (11.5 m/s), a is the acceleration (0.500 m/s^2), and t is the time for which the acceleration was applied (7.00 s).

Substituting the values we get,

vf = 11.5 + 0.500 * 7.00 = 13.00 m/s.

So, the racer's final velocity is 13.00 m/s as he accelerates at the rate of 0.500 m/s2 for 7.00 s.

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By using the torque, the shear stress is 2.36 lb/ft².

We need to know about torque to solve this problem. Torque is the rotational equivalent of linear force. It can be determined as

τ = F x r

where τ is torque, F is perpendicular force and r is radius.

Shear stress can be calculated by torque

P = F / A

P = τ / (π.r³)

where P is shear stress, r is the radius.

From the question above, the parameter given are

τ = 200 ft.lb

d = 6 ft

Find the radius

r = 1/2 . d

r = 3 ft

Find the shear stress

P = τ / (π.r³)

P = 200 / (π.3³)

P = 2.36 lb/ft²

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Answer:

C. The light waves will bend as they hit the water and slow down because water is a denser medium than air.

Explanation:

Refraction, or the bending of light, is caused by a change in the medium through which it passes. Air and water have different optical densities. As a result, light that enters the water is refracted more normally.

The four individuals' lenses range in power from 0.7 D to 1.5 D to 2.0 D and 2.75 D, respectively.

The farsighted people are those with near point greater than 25 cm. A converging lens is needed to correct farsightedness, or hyperopia, therefore, the focal length, f, is positive. The image formed is virtual and on the same side of the lens. Thus, the image distance is negative. From the lens formula, 1/f = 1/v+1/u; but v is negative.

Here,

Therefore, 1/f = 1/u - 1/v

But, power of a lens = 1/f in meters.

Therefore,  P =  1/u - 1/v

They include Avishka, Berenice, Edouard and Francisca.

For Avishka, u = 25 cm or 0.25 m, v = 0.4 m

P = 1/ 0.25 - 1/0.4 = 1.5 D

For Berenice, u = 0.25 m, v = 0.3 m

P = 1/0.25 - 1/0.30 =0.7 D

For Edouard, u = 0.25 m, v = 0.80 m

P = 1/0.25 - 1/0.80 =2.75 D

For Francesca, u = 0.25 m, v = 0.50 m

P = 1/0.25 - 1/0.5 = 2.0 D

The order of power of lens of 4 people is from smaller to greater is 0.7 D<1.5 D<2.0 D<2.75 D.

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Strange as it may seem, the statement in the question appears to be TRUE.  

-- Before the shot, neither the cannon nor the ball is moving, so their combined momentum is zero.  

-- Since momentum is conserved, we know immediately that their combined momentum AFTER the shot also has to be zero.

-- (20g is rather puny for a "cannonball" ... about the same weight as four nickels. But we'll take your word for it and just do the Math and the Physics.)

-- Momentum = (mass) x (velocity)

After the shot, the momentum of the cannonball is

(0.02 kg) x (100 m/s ==> that way)

Momentum of the ball = 2 kg-m/s ==> that way.

-- In order for both of them to add up to zero, the momentum of the cannon must be (2 kg-m/s this way <==) .

Momentum of cannon = (5 kg) x (V m/s this way <==)

2 kg-m/s this way <== = (5 kg) x (V m/s this way <==)

Divide each side by (5 kg):

V m/s  =  (2/5) m/s this way <==

Speed of recoil of the cannon = -- 0.4 m/s

An ideal battery is a source of fixed EMF and voltage. An ideal battery is a theoretical construct that is used to understand how batteries work. It is a model that assumes that a battery has no internal resistance and that its voltage does not change with time.

In this idealized scenario, a battery is a source of fixed electromotive force (EMF) and voltage. The EMF is a measure of the battery's ability to produce electrical energy, while the voltage is the measure of the potential difference between the two terminals of the battery. In an ideal battery, the voltage is constant and does not depend on the amount of current that is drawn from it. This means that an ideal battery can deliver a constant amount of energy over an extended period of time.

While an ideal battery is not a real device, it is a useful tool for understanding the behavior of real batteries. In real batteries, there is always some internal resistance that causes the voltage to drop as current is drawn from the battery. This means that the actual voltage of a battery depends on the amount of current that is being drawn from it. Moreover, the voltage of a real battery decreases over time as the battery discharges. Nevertheless, the concept of an ideal battery is helpful in understanding the principles of battery operation and in designing practical battery systems that can deliver reliable and consistent performance.

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the second and third one

Case fans pull cool air from the front and blow hot air out the back.

Case fans play a crucial role in maintaining optimal temperature levels within a computer case. By pulling cool air from the front and expelling hot air out the back, they effectively promote airflow and prevent overheating. This airflow helps to dissipate the heat generated by the components inside the case, such as the CPU, GPU, and power supply.

Without proper cooling, the temperature inside a computer case can rise rapidly, leading to decreased performance, potential damage to components, and even system failure. Case fans, positioned strategically, ensure a continuous supply of cool air is directed towards the hot components, while simultaneously expelling the heated air out of the case. This process creates a balanced and controlled airflow, helping to maintain a stable and cool operating environment for the computer.

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The final speed of the railroad cart is equal to 12 m/s.

According to the law of conservation of momentum, the sum of the momentum before and after the collision of the objects must be equal.

m₁u₁ + m₂u₂ =  m₁ v₁ + m₂ v₂

Where m₁ and m₂ are the mass of the objects, u₁ and u₂ are the initial speed while v₁ & v₂ is the final speed.

The momentum of an object is defined as the product of the mass times the velocity of that object.

Given the mass of the empty cart, m₁ = 200 Kg

The mass of the rock, m₂ = 50 Kg

The initial velocity of the empty cart, u₁ = 0

m₁ u₁ + m₂ u₂ = (m₁ + m₂)× V

200 × 15 + 50 × 0=  (200 + 50) × V

V = 12 m/s

Therefore, the final speed of the railroad cart is equal to 12 m/s.

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Answer: Velocity = v = 35 m/s

Explanation:

Kinetic energy of an object is defined as the energy possess by an object due to its motion. Kinetic energy K.E of an object is equal to the half of the mass of that object multiplied by square of the object's velocity.

Mathematically,

v = 35 m/s

In order to find the X-component of the vector with a magnitude of 82 and an angle of 25 degrees, we can use trigonometry. The X-component of the vector is equal to the magnitude of the vector multiplied by the cosine of the angle. Therefore, the X-component of the vector can be calculated as follows:

X-component = Magnitude x cosine(angle)
X-component = 82 x cosine(25 degrees)
X-component = 74.45

Therefore, the X-component of the vector is approximately 74.45. It is important to note that the magnitude of a vector represents its length or size, while the angle represents the direction it is pointing in relation to a reference point. By knowing the magnitude and angle of a vector, we can calculate its X and Y components using trigonometry.
Hi! To find the X-component of a vector, you can use the formula: X-component = magnitude * cos(angle). In this case, the vector has a magnitude of 82 and an angle of 25 degrees. First, convert the angle to radians: 25 degrees * (π / 180) ≈ 0.436 radians. Now, calculate the X-component:

X-component = 82 * cos(0.436 radians) ≈ 73.68

So, the X-component of the vector is approximately 73.68 units.

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Answer:

Explanation:

The momentum of an object can be found by using the formula

From the question

mass = 200 kg

velocity / speed = 8m/s

We have

momentum = 200 × 8

We have the final answer as

Hope this helps you

The required volume of the gas is 0.52 L.

Diminishing the volume of a contained gas will expand its tension, and expanding its volume will diminish its strain. As a matter of fact, on the off chance that the volume increments by a specific variable, the tension declines by a similar element, as well as the other way around.

V1 = 1.56 L, P1 = 1 atm, P2 = 3 atm,

To find: V2 of gas

So, P1V1 = P2V2

V2 = P1V1/P2

V2 = 1.56(1)/3 = 0.52 L

Thus, required volume of gas is 0.52L

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Correct question:

A gas occupies 1.56 l at 1.00 ATM what will be the volume of this gas if the pressure becomes 3.00 ATM

The value of constant c is, c = 9 N/s^2

The force on the particle is, F(x,t) = m(d^2x/dt^2), where m is the mass, and dx/dt and d^2x/dt^2 are the velocity and acceleration of the particle, respectively.

The velocity of the particle is,

v(t) = d/dt (3.0 m + (4.0 m/s)t - ct^2 + (2.0 m/s^3)t^3)

v(t) = 4.0 m/s - 2ct + 6.0t^2

The acceleration of the particle is,

a(t) = d^2/dt^2 (3.0 m + (4.0 m/s)t - ct^2 + (2.0 m/s^3)t^3)

a(t) = -2c + 12.0t

Substituting these expressions for velocity and acceleration into the formula for force,

F(x,t) = m(d^2x/dt^2) = 2.0 kg * (-2c + 12.0t)

At t = 3.0 s, the force on the particle has a magnitude of 36 N and is in the negative direction of the x-axis.

F(x,t) = -36 N

Substituting t = 3.0 s and F(x,t) = -36 N into the equation for force,

-36 N = 2.0 kg * (-2c + 12.0t)

-36 N = -4c + 72 N

36 N = 4c

Therefore, the value of c is,

c = 36 N / 4 = 9 N/s^2

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Using Newton's law of cooling, the time of death could have been 2 hours and 7 minutes before the body was found or around 9:53 AM.

According to Newton's Law of Cooling, the change in temperature of a body is proportional to the difference between its own temperature and the temperature of its surroundings. The law is expressed by the formula:

T(t) = T_a + (T_0 - T_a)e^(-kt),

where T(t) is the temperature of the body at time t, T_0 is the initial temperature of the body, T_a is the ambient temperature (in this case, 65 degrees Fahrenheit), and k is a constant of proportionality.

To find the time of death, we need to solve for t in the formula above. We know that at the time of death, the body temperature was 98.6 degrees Fahrenheit, so T_0 = 98.6. We also know that two hours later, the core temperature had fallen to 88 degrees Fahrenheit, so T(2) = 88. Plugging these values into the formula, we get:

88 = 65 + (98.6 - 65)e^(-k*2)

23 = 33.6e^(-2k)

ln(23/33.6) = -2k

0.3257 = k

Now we can solve for t using the formula:

T(t) = 65 + (98.6 - 65)e^(-0.3257t)

We want to find the time when the body temperature was 98.6 degrees Fahrenheit, so we plug that value in for T(t) and solve for t:

98.6 = 65 + (98.6 - 65)e^(-0.3257t)

33.6 = 33.6e^(-0.3257t)

e^(-0.3257t) = 1

t = ln(1)/(-0.3257)

t = 2.12 ≈ 2 hours and 7 minutes

Therefore, the time of death was about 2 hours and 7 minutes before the body was found or at around 9:53 AM.

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A sound wave employed in pta has a relatively low pitch when it generates resonance near the basilar membrane's apex.

The correct statement is C.

The pattern of disruption brought about by the movement or energy through a material (such as air, water, or any other solid or liquid matter) as it spreads away from the origin of sound is known as a sound wave. Pressure waves are generated by item vibrations that cause sound waves, such as those from a ringing phone.

Because air compressions and rarefactions create sound waves, they are known as longitudinal waves. Parallel to the propagation direction, the air molecules vibrate.

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The coil's induced emf is expressed as follows:

\($emf = -480 \pi H \cos (120 \pi t)$\)

Calculation-

\($emf = -L \frac{di}{dt}$\)

where L is the self-inductance of the coil, i is the current passing through the coil, and \($\frac{di}{dt}$\) is the rate of change of the current with respect to time.

Substituting the given values, we get:

\($i(t) = (2.0 A) \sin (120 \pi t)$\)

\($\frac{di}{dt} = (2.0 A) \times (120 \pi) \cos (120 \pi t)$$emf = -L \frac{di}{dt} = -2.0 H \times (2.0 A) \times (120 \pi) \cos (120 \pi t)$\)

Therefore, the expression for the emf induced in the coil is:

\($emf = -480 \pi H \cos (120 \pi t)$\)

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Answer:

F=200 N

a=10m/s2

F=ma

m=F/a=200/10=20m

Explanation:

An individual's capacity to notice and learn about a stimulus is diminished if they have previously been exposed to it in a neutral or irrelevant environment. This phenomenon is known as latent inhibition.

With the use of traditional training procedures, latent inhibition is frequently examined. In a typical experiment, an individual or an animal is repeatedly exposed to an unimportant stimulus with no noticeable results. In following trials, the neutral stimulus is coupled with a physiologically important stimulus (such as food or an electric shock).

The goal is to determine how the subject's capacity to build an association between the neutral stimulus and the important stimulus is affected by the subject's prior exposure to the neutral stimulus. According to the phenomena of latent inhibition, prior exposure to a stimulus without any discernible effects results in a reduction in attention or learning when the stimulus is subsequently encountered in a pertinent context.

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The centerline, center plane, or axis of an object is marked with the symbol of a horizontal line with two vertical lines crossing it to indicate that the object is symmetrical.

When an object possesses symmetry, meaning it can be divided into two identical halves, a specific symbol is used to represent this symmetry. The symbol consists of a horizontal line with two vertical lines crossing it, forming a shape resembling the letter "H."

This symbol is placed on the centerline, center plane, or axis of the object to visually communicate that the object exhibits symmetry. It serves as a clear indication to designers, engineers, or manufacturers that the object can be evenly divided along the marked line, and any modifications or operations performed on one side of the object should be replicated on the other side to maintain its symmetrical properties.

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Answer:

d

Explanation:

i looked it up

Answer:

We know that the gravitational force between two objects of mass M1 and M2 that are at a distance R, is given by:

F = G*(M1*M2)/R^2

Where G is a constant.

If you reduce one of the masses, then the gravitational force between the objects will change.

So if we take un account the Earth and the Sun, when you reduce the mass of Earth, the force between Earth and the Sun will decrease, and this will change the orbit of the Earth around the Sun.

(The orbit also depends on the gravitational force between the Earth and the other planets in the system, and all those forces also change, which also has an impact in the orbit change)

The engine is providing a forward force of 259,800 N to keep the train moving at a constant velocity.

What is forward force?

Forward force is the force applied in the direction of motion, which causes an object to move or maintain a constant velocity.

Constant velocity refers to the motion of an object moving in a straight line at a steady speed, without changing its direction. The velocity of the object is constant when its speed and direction remain unchanged over time, regardless of whether the object is moving or stationary.

Since the train is moving at a constant velocity, the net force acting on the train is zero. Therefore, the forward force provided by the engine must be equal in magnitude and opposite in direction to the force of air resistance and surface friction.

So, the magnitude of the forward force provided by the engine is:

Magnitude of forward force = Magnitude of force of air resistance and surface friction

Magnitude of forward force = 259,800 N

Therefore, the engine is providing a forward force of 259,800 N to keep the train moving at a constant velocity.

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If you went to a fireworks show in Atlanta you would see the fireworks explode before you heard them go BOOM. However if astronauts are

watching the same fireworks show from space, they would see them explode, but never hear them because  Sound waves travel slower than light waves and they cannot travel through a vacuum. Hence option C is correct.

Sound waves are a form of energy transmission method that uses adiabatic loading and unloading to move across a material. Acoustic pressure, particle velocity, particle displacement, and acoustic intensity are all important parameters for defining acoustic waves. Acoustic waves have a particular acoustic velocity that relies on the medium through which they move. Acoustic waves include audible sound from a speaker (waves that travel at the speed of sound through air), seismic waves (ground vibrations that travel through the earth), and ultrasound used for medical imaging (waves that travel through the body). Sound waves cannot travel through vacuum.

Hence option C is correct.

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The conclusion you make about the relative orientation of the mirrors is that multiple images are created by multiple reflections between two flat mirrors.

What are mirrors: The law of reflection helps explain how a mirror is characterized as a reflecting surface.

In conclusion, When two mirrors are parallel to each other, the number of reflecton is infinite.This also depends on your point of view.

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Answer:

One simple situation where the law of inertia can be observed is when a ball is placed on a flat surface and left undisturbed.

Explanation:

According to the law of inertia, an object at rest will remain at rest unless acted upon by an external force. In this case, the ball will remain stationary until some external force is applied to it. For example, if someone were to give the ball a push, it would begin to move, since the force overcomes the ball's initial state of rest. Similarly, if the surface the ball is on is inclined, the ball will remain stationary until a force, such as gravity, begins to act on it and cause it to roll downhill. This demonstrates the idea that objects at rest will remain at rest until acted upon by an external force, as described by the law of inertia.

Static electricity represents charges without movement, while electric current represents charges in motion (electric flow).

The fuse is a component of electrical installations that is interrupted or melts when the current is excessive. Fuses are composed of a sheet or filament made of an alloy or metal that is characterized by a low melting point. This element is located at a strategic point in the electrical installation so that it melts if the intensity of the current exceeds a certain value. Thus, the fuse interrupts the current and safeguards the integrity of the conductors, minimizing the risk of fire or breakdown.

The air speed of the helicopter has the ground speed of 250 km/h is 233 km/h  

The ground speed of the helicopter = 250 km/h

The wind speed of the helicopter = 17 km/h

The air speed of the helicopter can be found using the formula,

            G = W + A
where G is the ground speed of the helicopter

           W is the wind speed of the helicopter

           A is the air speed of the helicopter

Let us rearrange the equation in order to get the airspeed,

          A = G - W

Let us substitute the known values in the above equation, we get

          A = 250 - 17

              = 233 km/h  

Therefore, the air speed of the air speed is 233 km/h

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Answer:

9882.516J

Explanation:

49kg*9.8m/s2*2.1m=9882.516 J