Explain why the Ray of light is refracted towards the normal

Work done on the block by the force of gravity as the block moves a distance L up the incline is  - m*g*l*sinФ.

To move an object, it should be first transferred to energy. Transferring energy may be in the method of force. The quantity of energy transferred by the force to move an object is known as work done.

To express mathematically, work is equal to the force times the distance  W = fd.

If  force is  exerted at an angle θ to the displacement then the work done is given by W = fd cos θ

Given,

applied force=F

angle=Ф

We have to evaluate work done by the force  due to gravity,

We know that g= 9.8 m/s^2

Work done=  m*g* sinФ * l *cos 180° +m*g* l *cos 90°

w = -m*g* sinФ* l + m*g *cosФ* l *0

As we know, cos 180° =  -1

and cos 90° = 0

w = - m*g*l*sinФ

Hence, the work done on the block by the force of gravity as the block moves a distance L up the incline=  - m*g*l*sinФ

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The meaning of E = MC² is a energy. It is important because it helps us to calculate the amount of energy required.

Energy is defined as the capacity to exert a force causing the displacement of an item, which is the ability to do work.

There are mainly two types of energy.

Thus, the meaning of E = MC² is a energy. It is important because it helps us to calculate the amount of energy required.

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Answer:Buoyancy

Explanation: if you need to float you will need an equal buoyancy force to gravity like supposing a boat is 300Kg and its buoyancy force is so high that it matched perfectly with the force of gravity it would float

Answer: Only 10% of the energy makes light

Explanation:

The friction and the velocity of the object are inversely proportional to each other.

The velocity of the object sliding over a rough surface decreases with the increase in friction.

Let us assume that ab object is sliding over a rough surface.

Now, if the object is at rest, the static friction completely keeps the object at rest.

While sliding, the friction opposes the motion of the body.

If an object is sliding on a surface with some velocity and no external force is applied. The velocity will decrease in sometime and will become zero.

If an external force is applied in the direction of motion of object, the friction will be in work but it will work only as a opposing force. So, it will always try to decrease the velocity.

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A tsunami may begin as a broad, gradual swelling at sea but grows closer to land.

Ocean waves called tsunamis are caused by: large earthquakes that take place near or beneath the ocean. lava outbursts. landslides underwater. Onshore landslides that release a lot of debris into the water

Landslides happen when sloped ground becomes unstable. Earth, rocks, mud, and any other debris that may be trapped in its wake can all be found in the unstable terrain that collapses and pours down the side of a hill or mountain. Landslides can cause significant harm if they happen close to populated areas.

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The vertical component of the box's weight is 221.1 N.

The vertical component of the box's weight is the weight of the box acting along the vertical direction of the inclined plane.

Mathematically, the formula for calculating the vertical component of the box's weight is given as;

Wn = mg cosθ

where;

Wn = W cosθ

where;

Wn = 307.4 N x cos(44)

Wn = 221.1 N

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The complete question is below;

You place a box weighing 307.4 N on an inclined plane that makes a 44◦ angle with the horizontal. Find the vertical component of the box's weight.

The following question is about football movement and can be answered by using the equations of projectile launch :

Initial speed is: v = 16.89 m / s

Maximum height is:  y = 14.26m

Given parameters

Horizontal distance x = 28.4 m

Launch angle tea = 38.6º

To find,

The initial speed and the maximum height

         R =  [tex]v^{2}[/tex]sin2θ/g

    [tex]v^{2}[/tex]=  g*r/sin2θ

calculating,

         v² = 9.8 *28.4 / sin (2 *38.6)

               =[tex]\sqrt{278.32/0.9751}[/tex]

                 v = 16.89 m / s

The vertical speed is zero when height maximum.

         v² = v² - 2 g y

         0 = v² - 2g y

         y =   v²/2g

        y = 14.26m

Initial speed is: v = 16.89 m / s

Maximum height is:  y = 14.26m

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Answer: Weight = 140.05 N

Explanation:

The formula for calculating weight of an object on the moon is expressed as

weight = mg

where

m = mass of the object

g = acceleration due to gravity of the moon

From the information given,

m = 190 pounds

We would convert 190 pounds to kg

1 pound = 0.45359237 kg

190 pounds = 190 x 0.45359237 = 86.183 kg

g = 1.625 m/s^2

Thus,

w = 86.183 x 1.625

w = 140.05 N

Answer:

b) is not true - the movement and travel of a wave packet is governed by the "group" velocity of the packet not the phase velocity

The movement and travel of a wave packet are governed by the "group" velocity of the packet, not the phase velocity, so option B is not a true statement.

A collection of waves with roughly the same momentum is referred to as a wave packet. Localization of particles can be achieved by combining waves into wave packets. The area where the particle is most likely to be discovered is indicated by the wave packet's envelope. This region spreads at the speed of a classical particle.

According to Heisenberg's principle, some uncertainty in the mo­men­tum must be permitted in order to gain some localization of the position of a paragraph. Therefore, you must assume that the initial quantum space wave function is nonzero for at least a brief range of various quantum values. A wave packet is a combination of constituent waves of this kind.

The movement and travel of a wave packet are governed by the "group" velocity of the packet, not the phase velocity.

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Both the truck's force and its rate of acceleration are provided to us: Force applied (F) = 14,000 N, Acceleration (a)=  5 m/s².

Calculating,

the truck's mass using Newton's second law of motion.

F = ma  

(where F is the applied force, m is the object's mass, and an is the object's acceleration.)

replacing the variables:

14000 = (m)* 5

m = 14000/5

m = 2800kg

Therefore,

the mass of truck is 2800 kg

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Answer:Mercury has a greater coefficient of thermal expansion than alcohol. This means a column of mercury will expand and rise more than a column of alcohol for the same temperature change. As a result, you can get finer readings with mercury

Explanation:

Suppose a heat engine absorbs 2,403 j from the hot reservoir while rejecting 931 j to the cold reservoir. The engine's efficiency is 0.62

A heat engine is a device used in engineering and thermodynamics that transforms heat into mechanical energy that may be utilized to do mechanical labor. It accomplishes this by lowering the temperature of a functioning substance from its higher condition.

Efficiency may be represented as a ratio: output input. The total amount of beneficial work accomplished, excluding waste and spoilage, is known as output or work output. Efficiency can also be expressed as a percentage by dividing the ratio by 100.

η = 1 - (931/2403)

  = 0.62

Heat engine absorbs 2,403 j from the hot reservoir while rejecting 931 j to the cold reservoir. The engine's efficiency is 0.62.

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The distance travelled by the car on the first hour of the trip is 80 km, the average speed for the first hour of the trip is 80 kmph and for the first four hours of the trip is 92.5 kmph

v = d / t

v = Velocity

d = Distance

t = Time

For the first one hour,

d = 80 km

t = 1 hr

v = 80 / 1

v = 80 kmph

For the first four hours,

d = 370 km

t = 4 hr

v = 370 / 4

v = 92.5 kmph

Therefore,

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f(x) means a function of x. In this case, the function of x is 3x - 5

So if you have f(2), apply the function with the value of x equal to 2. In this case, just plug 2 into the equation where x is :

f(x) = 3x - 5

f(2) = (3)2 - 5

f(2) = (3 . 2) - 5

f(2) = 6 - 5

f(2) = 1

The function is shown in the figure below. Since this is a linear function we can see that the graph intersects the x-axis at only one point. This equation is a linear equation with two variables. Since there is a unique value of y for every value of x, we find them accordingly and set x = 0, then y = 5. So (0.5) is the answer you get. F values ​​are used in the analysis of variance (ANOVA). It is calculated by dividing the two mean squares. This calculation determines the ratio of explained to unexplained variance. The F distribution is a theoretical distribution.

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Scientists find out about the internal parts of life science specimen by a method called fixation and the examination of sample under microscope.

Specimen is the whole or a part of an organism, plant or rock collected and preserved as an example of its class and species. It is further used to study the properties of the whole population of the species.

Specimen is collected by withdrawing blood, collecting urine, or swabs from mucosal surfaces. Specimen collection is performed using aseptic techniques to  avoid contamination from bacteria or other bodily fluids.

After the liquid is added to the slide, a coverslip is placed on top and then the specimen becomes ready for examination under the microscope. Another method of preparing specimens for light microscopy is “fixing” that refers to the process of attaching cells to a slide.

There are 5 steps for the preparation of samples:

Fixation is done immediately after the removal of the sample that is to to be observed.

Embedding is done by fixation in a fixative solution.

Sectioning is carried out using microtomy

Staining and  also immunolabeling

Finally mounting.

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If both animals are running at full speed, with the gazelle 99 m ahead, cheetah will catch its prey after 331 m

v = d / t

v = Velocity

d = Distance

t = Time

Let the distance covered by the gazelle be x.

For cheetah,

v = 105 km / h

d = ( 99 + x ) m

t = d / v

t = 105 / ( 99 + x ) s

For gazelle,

v = 73.5 km / h

d = x m

t = d / v

t = 73.5 / x

The time taken by both cheetah and gazelle will be the same when the cheetah catches its prey.

105 / ( 99 + x ) = 73.5 / x

105 x = 7276.5 + 73.5 x

31.5 x = 7276.5

x = 231 m

Distance travelled by cheetah = ( 99 + x ) m

Distance travelled by cheetah = ( 99 + 231 ) m

Distance travelled by cheetah = 331 m

Therefore, the cheetah will catch its prey after 331 m

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Answer:

Approximately [tex]6.67 \times 10^{14}\; {\rm Hz}[/tex], assuming that the wavelength was measured in vacuum.

Explanation:

Let [tex]v[/tex] denote the speed of the wave, [tex]f[/tex] the frequency of the wave, and [tex]\lambda[/tex] the wavelength of this wave. It is given that [tex]v = \lambda\, f[/tex].

It is given that the wavelength of this light is [tex]\lambda = 450\; {\rm nm} = 4.50 \times 10^{-7}\; {\rm m}[/tex]. Assume that this wavelength is measured when the light beam is in vacuum, where the speed of light (wave speed) is [tex]v = c \approx 3.00 \times 10^{8}\; {\rm m\cdot s^{-1}}[/tex].

Rearrange the equation [tex]v = \lambda\, f[/tex] to find the frequency [tex]f[/tex] of this wave:

[tex]\begin{aligned} f &= \frac{v}{\lambda} \\ &\approx \frac{3.00 \times 10^{8}\; {\rm m\cdot s^{-1}}}{4.50 \times 10^{-7}\; {\rm m}} \\ &\approx 6.67 \times 10^{14}\; {\rm s^{-1}}\end{aligned}[/tex].

Note that [tex]1\; {\rm Hz}[/tex] is equivalent to [tex]1\; {\rm s^{-1}}[/tex]. Therefore, the frequency of this wave would be [tex]f \approx 6.67 \times 10^{14}\; {\rm Hz}[/tex].

Given that detector measures total energy of 0.53 J over a period of 34s. Photons per second emitted by the laser is 7.84 x 10¹⁶ photons/s

Device that emits a beam of coherent light through an optical amplification process is called Laser. Types of lasers include gas lasers, fiber lasers, solid state lasers, dye lasers and diode lasers .

Given total energy = 0.53 J

period = 34 s

As we know Wavelength of the Photon = 989 nm

Energy of  single photon is given by formula,

E= hc/λ

Total energy= (6.626* 10^-34*2.998*10^8)/(989*10^-9)

= 2.01 *10^-19 J

Time period = 34s

Energy absorbed per sec = 0.53/34=  0.0155 J/s

Energy of a  photon= 2.01*10^-19 J

Number of photons emitted per second is = 0.0155/2.01*10^-19

= 7.711* 10^16 J/photon

Number of photons = 7.771 x 10¹⁶ photons/s

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The acceleration of the car when get around the slower vehicle is 0.86m/s².

The initial velocity U of the car is 15m/s.

The final velocity V of the car is 20m/s.

The time taken by the car to overtake the slow vehicle is 5.8 seconds.

To find the acceleration of the car, we can use the equation of motion,

The equation is,

V = U + at

Where,

V is final velocity of object,

U is the initial velocity if the object,

a is the acceleration of the body,

t is the time taken by the body to accelerate,

Putting all the values of find the acceleration a of the car,

V = U + at

20 = 15 + a5.8

5 = a5.8

a = 5/5.8

a = 0.86 m/s².

So, the acceleration of the car is 0.86 m/s

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Young stars that vary erratically in luminosity and have especially strong stellar winds are called T-Tauri stars.

The entire amount of energy generated by various celestial bodies (stars, galaxies) per unit of time is referred to as luminosity, which would be essentially measured in joules per sec or watts in SI units.

The characteristic of something that emits light or glows with reflected light is called luminosity. The brilliance of a huge, sparkling diamond is what is most striking. You might use the word "luminosity" to describe a vivid and colorful oil painting or to praise the brightness of a spectacular sunset.

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The most severe diffuse brain injury caused by rotational acceleration is most likely to be located in the option (d) entire brainstem is correct.

Angular acceleration is the term used to describe the temporal pace at which angular velocity varies.

The SI of measurement is radians per second per second.

v = ω × r . The equation of angular velocity can be obtained by rewriting this expression as follows: = r v / |r|2, where all of these variables are vectors and |r| stands for the absolute value of the radius.

Rotational acceleration is a type of brain damage brought on by a traumatic event in which the body's pace is disrupted and the head moves freely, out of step with the body's neck, chest, and/or lower limbs.

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An object has a kinetic energy of 180 J and a mass of 45 kg, The object is moving fast with 2.83 m/sec

Kinetic energy is the energy of motion, which can be observed as an item, particle, or collection of particles moving. Kinetic energy is used by any moving object: a person walking, a baseball being thrown, a crumb falling off a table, and a charged particle in an electric field are all instances of kinetic energy at work.

Given that,

Kinetic energy (K.E) = 180 J

Mass (m) = 45 kg

As we know, K.E = [tex]\frac{1}{2}mv^{2}[/tex]

Now we have to calculate the speed or velocity (v)

v = [tex]\sqrt{(2*K.E.)/m}[/tex]

v = [tex]\sqrt{(2*180)/45}[/tex]

v = 2.83 m/sec

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Wheelbarrow is a small cart which has a wheel in the front, and two supporting legs and two handles in the back. It is used for carrying loads.

Wheelbarrow is a second class lever. The three forces acting on a wheelbarrow are input force (applied force to move), output force (due to load) and the force due to fulcrum (or wheel) on one end.

The applied force and force due to wheel are in opposite directions, one acting upward and the other acting downward. The load force will be in between the applied force and the force due to wheel.

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When a laser pointer is placed on a platform that rotates at a rate of 1616 revolutions per minute and beam hits a wall 8 m away, producing a dot of light that moves horizontally along the wall, then speed is calculated as, v=  430.88πsec²Ф

A small handheld device with a power source and a laser diode that emits very narrow coherent low-powered laser beam of visible light is a laser pointer.

As angle made with the vertical is given so we can write,

tanФ = x/8

x= 8 tanФ

differentiating both sides with time

v= dx/dt= 8 ω sec^²Ф* d/dt

As we know that;

ω= 2πf

=2π/1616/60

= 53.86π

v= 8*53.86π*sec²Ф

=  430.88πsec²Ф

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Given:

The mass of the sun is

The universal gravitational constant is

The speed is

To find the required radius for the sun to become a black hole.

Explanation:

The radius can be calculated as

The name of the radius is Schwarzschild radius.

Answer: 24

Explanation: because my brain said..