What is the correct answer for this question?

Answer:C car

Explanation:

If at noon , the ship A is 170 km west of ship B , then the distance between the ships changing at 4:00 p.m. is 28.85 kmph   .

The ship A is 170 km west of ship B and

ship A is sailing east at the speed of  40 km/h ;

ship B is sailing north at the speed of  25 km/h ;

let us consider "x" and "y" as initial position of ships A and B ;

let the distance between ship A and "x" = x ;

let the distance between ship B and "x" = y ;

let the distance between ship A and ship B = z ;

By using Pythagoras Theorem ;  z² = x² + y²  ;

differentiating w.r.t. "t" ,

we get ;

2z*dz/dt = 2x*dx/dt + 2y*dy/dt

on Dividing equation by 2 on both sides ;

z*dz/dt = x*dx/dt + y*dy/dt     .....equation(1)

given ; dx/dt = 40 km/hr  and   dy/dt = 25 km/hr

Now , When t = 4 hours,

since at noon ; the ship A is west of Ship B ;

we get ;   x = 40*4 = 170 - 160 = 10  ;  y = 25*4 = 100 and

z = √(x² + y²)  , putting the values of x and y ,

we get ;

z = √(x² + y²)  ;

z = √(10² + 100²)  ;

substituting the values ; we get

z = √100+10000

z = √10100

z = 100.49

putting the values of x , y and z , in equation(1) ,

we get ;

100.49*dz/dt = 10*40 + 100*25 ;

100.49*dz/dt = 400 + 2500

100.49*dz/dt = 2900

dz/dt = 2900/100.49

dz/dt = 28.85 kmph ;

Therefore , The distance between the ships is changing at 4:00 p.m. is 28.85 kmph .

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The Effective Spring Constant is [tex](\frac{k1k2}{k1 + k2} )[/tex] for a system of 2 springs with spring constant k1 and k2.

The term "spring constant" refers to the proportional constant k. It gauges the stiffness of the spring. A spring exerts a force F = -kx in the direction of its equilibrium position when it is stretched or compressed to a length that differs by an amount x from its equilibrium length.

Spring constants are available in plural (physics) a quality of a spring that is determined by the force acting on the spring to the displacement it produces.

K stands for the proportionality constant, commonly referred to as the "spring constant." In layman's words, stiffness and strength are shown by the k variable in Hooke's law (F = -kx). An item requires more force to be stretched to a specific length the greater the value of k.

Let the force actiong be F N

then , if k1 is the spring constant of spring 1

F = x1 * k1

or, x1 = F/k1.

Similarly for spring 2

x2 = F/k2

Now x1 + x2 = F (1/k1 + 1/k2)

or effective displacement

X= [tex]F(\frac{1}{k1} + \frac{1}{k2} )[/tex]

or, F = [tex]X * (\frac{k1k2}{k1 + k2} )[/tex]

So the Effective Spring Constant is [tex](\frac{k1k2}{k1 + k2} )[/tex].

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The fluid speed in the narrower pipe is 4.5 m/s.

The speed of a fluid traveling through a pipe is determined by its cross-sectional area. In this case, a pipe of cross-sectional area 1.2 m2 is narrowing to a pipe of cross-sectional area 0.4 m2. The fluid is currently traveling at 1.7 m/s in the larger pipe. To calculate the fluid speed in the narrower pipe, the following equation can be used:

Speed = (Cross-sectional area of larger pipe/ Cross-sectional area of smaller pipe) × Speed of fluid in larger pipe

In this case, the equation becomes:

Speed = (1.2/0.4) × 1.7 m/s

Speed = 4.5 m/s

Therefore, the fluid speed in the narrower pipe is 4.5 m/s.

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A BTU is defined as the amount of energy required to raise the temperature of one lb of water by one-degree celsius is False.

A British thermal unit is a measure of the amount of heat in a fuel or energy source. This is the amount of heat required to raise the temperature of 1 pound of liquid water by 1 degree Fahrenheit, the temperature at which water reaches its maximum density.

BTU is the amount of energy required to raise the temperature of 1 pound of water to 1 degree Fahrenheit above sea level. Technically, this measurement refers to the amount of energy required for this process when water is at its maximum density.

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XXX high shutter speed is the kind of setting that will help emphasise motion blur.

Motion blur is the appearance of moving objects streaming across a frame or sequence of frames, such as in a video or animation. When there is rapid movement or a long exposure, it occurs when the image being recorded changes throughout the course of one exposure. In both photography and video, motion blur is a result of the shutter speed, or how long the iris of the camera is open and exposed. When exposed for a longer period of time with a slower shutter speed than they would with a faster one, moving objects move further and fuzz more. Both photography and video can capture the motion blur effect, although they do it in somewhat different ways and for slightly different reasons. On the other hand, the effect itself is essentially the same in both mediums.

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Momentum is conserved if the relative velocities before and after the impact are equal.

In most cases, momentum is the quantity that describes the internal motion of any moving object. Force, on the other hand, is the quantity that modifies the degree of action existing when applied to any object. Momentum is the amount of energy contained within a moving item.

Momentum is the amount of motion, to put it simply. Quantity may be assessed in this scenario because if an object is moving and has mass, it has momentum. If something is stationary, it doesn't have momentum.

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The birdman needs to soar 86.43m in the air to hit the bucket.

The ball's diameter, d, and the amount of time, t, it takes to cross the photogate can both be used to calculate the beginning horizontal velocity. Vo = d/t, then.

Time of motion of the birdman

The duration of the birdman's motion is the amount of time it takes for him to soar to his highest point.

R = Vₓt

where;

R is the birdman's motion's range or his horizontal distance.

Time of motion is t.

The horizontal speed is Vx.

t = R/Vₓ

t = 147/ 35

t = 4.2 seconds

Maximum height the missile has climbed

h = ¹/₂gt²

where;

The birdman's height is measured in h.

Gravitational acceleration, or g,

h = ¹/₂(9.8)(4.2)²

h = 86.43 m

The birdman must therefore fly to a height of 86.43m in order to hit the bucket.

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parallel processing perceiving the color, motion, and form of a bird in flight illustrates.

Option a is correct.

According to the trichromatic theory, our ability to perceive red, green, and blue hues as well as how they affect our cerebral activity are both explained by cones (Like a projection T.V.). Consequently, the precise colour we see is determined by the proportion of each colour to the others.

The three kinds of cone receptors that are responsible for colour vision are the foundation of the trichromatic hypothesis of colour vision. Beginning in the 18th century, this hypothesis has a very long history.

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The Lambda-CDM (cold dark matter) model is the most widely accepted model for the structure and evolution of our universe.

Universe is the totality of all existing things, including all matter and energy, the planets, stars, galaxies, and the contents of intergalactic space. It is the physical universe in its entirety and the totality of all phenomena within it, including all matter and energy that has existed, exists, and will exist. The universe is believed to have begun with the Big Bang, an event that marked the beginning of time and space, and from which all matter and energy have since emerged.

This model is based on observations of the cosmic microwave background, large-scale structure, and the expansion of the universe. It suggests that the universe is composed of about 4.9% ordinary matter, 26.8% dark matter, and 68.3% dark energy.

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First I would ask

how much their budget is for one year. Next I would ask how they are going to have more clean energy. Other questions I would ask are where will you install the solar farms, will the farms impact local businesses and how much dirty energy they want to get out of the atmosphere

Velocity of the elevator after 3 seconds is equal to v₂ = 3.79 m/s. The same two forces that were at play when the elevator was speeding up are still present. The normal force, which is less than at rest.

given,

mass of Corey = 95 Kg

reading of sale for first 3.0 s when elevator start to move = 810 N

scale reading for 3.0 s = 930 N

Gravitation force acting =

F = m g

F = 95 x 9.8

F = 931 N

using newton's second law, due to movement of elevator

F_{net} = m a

W - N = m a₁

930- 810 = 95 x a₁

a₁ = 1.26 m/s²

now,

velocity calculation

v₁ = a₁t

v₁ = 1.26 x 3.0 = 3.78 m/s

now, For second case

931 - 930 = 95 x a₂

a₂ = 0.010 m/s²

now, velocity after 3.0 s

v₂ = v₁ + a₂ t

v₂ = 3.78 + 0.010 x (3 - 3)

(3-3) because velocity after 3 second is calculate we need to calculate velocity after 3 s from beginning.

v₂ = 3.78 + 0.010

v₂ = 3.78 m/s

velocity of the elevator is equal to v₂ = 3.79 m/s.

When a person is moving in an elevator, there are two forces at work on him: gravity and the elevator's normal force. The elevator is stationary or travelling at a constant speed, and the two forces are of equivalent strength. When the elevator is accelerating uphill or downward, their magnitudes are not identical.

Since an elevator will move in a straight path with a constant speed, it exhibits uniform linear motion.

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The answers include the following below:

This is referred to as a quantity or any form of measurement which has magnitude but no direction and examples include 75 degrees Celsius , 22.5 miles etc as no direction is denoted in the measurement which is given in this type of scenario.

On the other hand, vector quantity is the measurement which has both magnitude and direction and examples include 22.5 miles, south , 2.0 meters, east etc which shows the direction in which the body is moving which is therefore the reason why the above options were chosen as the correct answer.

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The draw of the earth on the apple and the pull of the apple on the earth are forces operating in pairs (number of pairs, not individual forces).

Since there is no net force acting on the item while it is resting , the downward force (weight) must counterbalance the force acting upward (normal force). Weight travels downhill, therefore it is always negative. For an item to be at rest, all of the forces must be equal to 0.

According to Newton's first rule, in order to have no net force exerted on an object, it must be at rest. Because if there is a total force acting on the object, it will change velocity. It will accelerate.

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Answer:44.3

Explanation:

The work done by the given force field for an object moving across a path that is the boundary of the region bounded is 10 JOULE

To find the work done by a force field for an object moving across a path that is the boundary of a region, we can use the following equation:

W = ∫F(r)⋅dr

where W is the work done, F(r) is the force field acting on the object, and r is the position vector of the object. The integral is taken over the path of the object.

In this case, the path of the object is the boundary of the region bounded by the upper semicircle centered at the origin with radius 2 and the x-axis. The orientation of the path is counterclockwise. The force field acting on the object is given by:

F(r) = E

where E is a constant force field.

To find the work done by the force field, we can substitute the form of the force field and the path of the object into the work equation and evaluate the integral:

W = ∫E⋅dr

= ∫10⋅dr

= 10 ∫dr

The path of the object is the boundary of the region bounded by the upper semicircle centered at the origin with radius 2 and the x-axis. We can parameterize this path by expressing the position vector r in terms of a parameter t:

r = xi + yj

where x and y are functions of t and i and j are unit vectors in the x and y directions, respectively.

Substituting the parameterized form of the position vector into the work equation, we get:

W = 10 ∫(xi + yj)⋅dr

= 10

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When climbing an ice slope. Your feet suddenly start to slip, and you begin to slither backward. Because the kinetic friction is greater than the maximum static friction, you will accelerate down the slope.

The resistance an object encounters while in motion as a result of contact between the surface and the thing moving against it is known as the kinetic friction force. Always acting in the opposite direction from the object's motion is the kinetic friction force. This explains why we often find that kinetic friction causes an object to move backward when we try to move it forward.

An object moving along a path is resisted by a force known as static friction.

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When it happens mother should have to do cool the burn with tap water for 10 to 20 minutes immediately.

Stop the burning process. Cool the burn. Supply pain relief.

Before the arrival of qualified emergency help, you should:

Pain and skin injury from wet heat or vapors can result from hot water scalding. Because the damaged tissues and cells are destroyed, this kind of burn can be deadly. The heat could even cause your body to go into shock. These burns can be fatal in more severe circumstances.

Cool the burn.

Place the affected area under cool (not cold) flowing water for about 10 minutes. Until the pain goes away, apply a cool, wet cloth to the burned area of the face. If you have a mouth burn from hot food or drink, place a piece of ice in your mouth for a while.

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The free-fall acceleration on Mars is 3.71 m/s²

Given :

gravitational force acting on the robot is 504.6 N

F= 504.6 N

mass of the robot  = 136 kg

a = F/ m

= 504.6/ 136 =3.71 m/s²

The free-fall acceleration on Mars is 3.71 m/s²

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The total mass of the galaxy within a radius of 5 kpc is approximately 3.25 billion solar masses.

A galaxy is a system of stars, remnants of stars, interstellar gas, dust, dark matter, bound together by gravity.

By using the equations of Newtonian mechanics, the total mass of the galaxy can be calculated by combining the mass of the stars, gas, dust, and dark matter within the 5 kpc radius.

The total mass of a galaxy within a radius of 5 kpc can be calculated using the equation:

Mass = 2.3 x 10⁶ x (5 kpc)² x (1 solar mass/pc³)

Mass = 3.25 billion solar masses.

This calculation provided an approximate total mass for the galaxy, which is estimated to be 3.5 billion solar masses located within 5 kpc of the center.

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The wavelength of visible light compare to radio waves in the sense that visible light waves have a shorter wavelength than radio waves.

The wavelength is described as the spatial period of a periodic wave which is the distance over which the wave's shape repeats.

Radio waves are electromagnetic waves that are produced by man with an oscillating circuit.

Radio waves are used in broadcasting, the waves used in television are those of shorter wavelength and those of radio are those of longer wavelength.

Longer radions are reflected in the ionosphere and can be detected in antennas which is located at great distances from the emitting source. The medium waves are less reflected in the ionosphere, due to their large wavelength they can overcome obstacles, so they can travel great distances.

It is known that the visible radiation waves have a wavelength between approximately 400 and 700 nanometers, the radio waves range from 1 centimeter to 1 km, so they have longer wavelengths than the waves belonging to the visible spectrum.

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The two parakeets sitting on the swing with a combined center of mass 16.0 cm below the pivot swings with a frequency of 1.21Hz.

Given the data in the question

Length of pendulum; L=16.0cm =0.16m

Frequency; f=

Using the simple pendulum equation of time:

T2π = √L/9 -------let this be equation 1

Where T is the period of time, L is the length of the pendulum and g is the acceleration due to gravity(9.8m/s² ).

Also formula for Frequency:

f=1/T ------------let this be equation 2

Lets substitute equation 1 into equation 2

f = 1/2π√L/9

f = 1/2π√9/L

We substitute or values into the equation

f=1/2π√[9.8/0.16]

f=1/2π√[57.647-2]

f=1/2π*7.59256s

f=1.21 hZ

Therefore, the two parakeets sitting on the swing with a combined center of mass 16.0 cm below the pivot swings with a frequency of 1.21Hz.

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if Betelgeuse were to radiate all of its energy at the peak-intensity wavelength, how many photons.

What is energy?

Energy, which is observable in the execution of labour as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics. It is a mechanically accepted quantity.

a )

Radius of the sun = .69645 x 10⁹ m .

600 times = 600 x .69645 x 10⁹ m

= 4.1787 x 10¹¹ m .

surface area A = 4π (4.1787 x 10¹¹)²

= 219.317 x 10²²

energy radiated E = σ A Τ⁴

= 5.67 x 10⁻⁸ x 219.317 x 10²² x (3000)⁴

= 100695 x 10²⁶ J

To know the wavelength of photon emitted

[tex]\begin{aligned}& \lambda_m T=b \\& \lambda_m=\frac{b}{T}\end{aligned}[/tex]

= 2.89777 x 10⁻³ / 3000

= 966 nm

= 1275 /966 eV

1.32 x 1.6 x 10⁻¹⁹ J

= 2.112 x 10⁻¹⁹ J

No of photons radiated = 100695 x 10²⁶ / 2.112 x 10⁻¹⁹

= 47677.5 x 10⁴⁵

= .476 x 10⁵⁰ .

b )

energy radiated by our sun per second

E₂ = σ A 5800⁴

energy radiated by Betelgeuse per second

E₁ = σ  x 600²A x  3000⁴

E₁ / E₂  = σ  x 600²A x  3000⁴ / σ A 5800⁴

= 36 X 10⁴ x 3⁴ x 10¹² / 58⁴ x 10⁸

= 25.76 x 10⁸ x 10⁻⁵

= 25760 times .

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Complete Question

The red giant Betelgeuse has a surface temperature of 3000 K and is 600 times the diameter of our sun. (If our sun were that large, we would be inside it!) Assume that it radiates like an ideal blackbody.a) If Betelgeuse were to radiate all of its energy at the peak-intensity wavelength, how many photons per second would it radiate?b) Find the ratio of the power radiated by Betelgeuse to the power radiated by our sun (at 5800 K).

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Answer:

To determine the change in kinetic energy of the object as it falls from a height of 10.0 meters to 5.00 meters, we can use the equation KE = 1/2 mv^2, where KE is the kinetic energy, m is the mass of the object, and v is the velocity. We can also use the equation for gravitational potential energy, which is PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height above the ground.

We know that the potential energy of the object at a height of 10.0 meters is 196 joules, so we can use this information to solve for the mass of the object:

196 = m * 9.80 * 10.0

196 = 98.0m

m = 2.00 kg

We can then use this value for the mass to find the kinetic energy of the object as it falls from a height of 10.0 meters to 5.00 meters:

KE = 1/2 * 2.00 * v^2

KE = 1/2 * 2.00 * (2gh)^2

KE = 1/2 * 2.00 * (2 * 9.80 * 5.00)^2

KE = 196 joules

Thus, the object gains 196 joules of kinetic energy as it falls from a height of 10.0 meters to 5.00 meters.

At a height of 10.0 meters above Earth's surface, the potential energy of an object is 196 joules. After the mass falls 5.00 meters, 196 joules is the kinetic energy.

Kinetic energy is the type of energy which an item or particle has as a result of its motion. When work, that transfers energy, is performed on an item by exerting a resultant force, the object accelerates and obtains kinetic energy.

Kinetic energy is indeed a characteristic of an object moving or particle that is affected by both its speed and its mass. Translation (or motion across a path from one location to another), rotation on an axis, vibration, and any combination of movements are all possible.

Potential energy=m× g× h

196 = mass×9.80×10.0

m = 2.00 kg

K.E= 1/2×m×v²

KE = 1/2 ×2.00× v²

KE = 1/2 ×2.00× (2gh)²

KE = 1/2 ×2.00 × (2  × 9.80  ×5.00)²

KE = 196 joules

Therefore, 196 joules is the kinetic energy.

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If a thin layer with an index of refraction of 1.4 and a thickness of 280 nm coats a glass plate with an index of refraction of 1.65, the minimum wavelength of the reflected light is 182 nm.

When a waveform signal travels across space or down a wire, its wavelength is the distance between two identical locations (adjacent crests) in adjacent cycles. The standard units of measurement for this length in wireless systems are meters (m), centimeters (cm), or millimeters (mm) (mm).

Light is coming from a medium with a lower refractive index (n 1 = 1.50) into a medium with a higher index (n 2 = 1.60), so the net path difference in the reflected rays from the two interfaces will be equal to 2t (where t is the thickness of the thin film), because when that happens, light will enter the higher index medium.

When light travels from air to a thin film, the reflected ray's path shift equals 2; when it travels from a thin film to glass, the reflected ray's path shift equals 2′ /2+2t for constructive interference; 2t=m or 2t=m/n 1 where is the wavelength in the thin film, =546nm (given) wavelength in vacuum, and m=0 (minimum); thus, t

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The energy needed to accelerate a rocket from 1/2 c to c would be 3 times of U  if it require U to accelerate from rest to 1/2c.

Now,we know that kinetic energy of rocket is given by =(1/2)mv² where m is the mass of the rocket and v is the velocity of rocket.

According to work-energy theorem,we know that work done=change in kinetic energy of the body.

Here,we have initial velocity of rocket is =0,and final velocity of rocket =1/2c

So,Work done=(1/2) ×m×(1/2)c² - 0²

=>U=(1 / 4) ×(1/2)×m×c²-------(eq1)

Now,we need to find the required amount of kinetic to accelerate it from 1/2c to c

So, required kinetic energy is Work done=(1/2)mc² - (1/2)×m×(1/2)c²

=>Required kinetic energy=(1/2×m×c²) × (1-1/4)

=>Required kinetic energy=(3/4)×(1/2×m×c²)

=>Required kinetic energy=(3)×((1 / 4) ×(1/2)×m×c²)

=>Required kinetic energy=3 ×times of U(from eq1)

Hence,kinetic energy required is 3 times of U.

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The velocity of fragment 2 is equal to 0.88 m/s at 31°.

From the law of conservation of momentum, the sum of the momentum before and after the collision must be equal.

m₁ u₁ + m₂.u₂ = m₁ v₁ + m₂.v₂

where m₁ & m₂ is the mass of the collided objects, u₁ & u₂ are their initial speed while v₁ & v₂ is their final speed.

Given, the mass of the spring, m = 1.2 kg

The speed of the spring, v = 0.50 m/s

The mass of the first fragment, m₁ = 0.4 kg

The initial speed of fragment 1, u₁ = 0.9 m/s

The mass of the fragment, m₂ = 1.2 - 0.4 = 0.8 kg

In x-direction: [tex]mucos\theta = m_1v_1 cos\theta + m_2 v_2 cos\theta[/tex]

1.2 ×0.5 ×cos(0) = 0 + 0.8× v₂ cosθ

v₂ cosθ = 0.75

In y-direction: 12 (0) = -0.4(0.9) + 0.8  v₂ sinθ

v₂ sinθ = 0.45

Now, [tex]\displaystyle \frac{v_2sin\theta}{v_2cos\theta} =\frac{0.45}{0.75}[/tex]

tanθ = 0.6

θ  = 31°

The value of the velocity of the fragment can be calculated as;

v₂ sinθ = 0.45

v₂ sin31 = 0.45

v₂ = 0.88 m/s

Thus, the magnitude of the velocity of fragment 2 is 0.88 m/s at 31⁰.

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The required mass in kg when the power output, time, height are given is 7.63 kg.

We know that, the formula for power output for a motor is

Power P = (m* g*h)/t

where,

m is the mass in kg

g is the acceleration due to gravity in m/s²

h is the height in m

t is the time in sec

Given that,

P = 187 W

g = 9.8 m/s²

h = 13 m

t = 5.2 s

m = ?

Making m as subject in the above equation, we get,

m = (P* t)/(g* h) = (187* 5.2)/(9.8* 13) = 7.63 kg.

Thus, the required mass in kg is 7.63 kg.

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