A rocket rises at 5 ft/s between 0 and 10 seconds. Afterwards it rises at 15 ft/s for another 15 seconds. Use one loop to calculate the rockets height at the end of the 25 seconds. Use h as the variable for height.

The width of the slit that illuminates by a 650-nm laser is 0.29mm.

It is a long, narrow cut or opening. Slit is used for diffraction process that affecting waves which are amenable to quantitative description and analysis. Such treatments are applied to a wave passing through one or more slits whose width is specified as proportion of the wavelength.

How to calculate the width of the slit?
Distance of second minimum on one right side of central maximum is 1/2 of total distance between the second minimum on left side and right side.

= 1/2 * 11mm

= 5.5mm

θ = the angular position of the second minimum on right side (also same of left side)

tan θ = 5.5mm / 1.2m = 4.6 * 10^-3
θ = arctan 4.6*10^-3

= 0.26rad

Now let's use the condition for the second minimum

αsinθ = 2λ

α * sin0.26 = 2 * 650 * 10^-9

α * 4.5*10^-3 = 2*650*10^-9

slit width is

α = 2 * 650 * 10^-9 / 4.5 * 10^-3

= 0.29 * 10^-3 m

= 0.29mm

Therefore, the width of the slit is 0.29mm.

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If a 20 N force is applied to the crate acting to the right, the resulting static friction force acting on the crate if 20 N to the left

f = μ N

N = W

f = Frictional force

μ = Co-efficient of friction

N = Normal force

W = Weight / Force of gravity

W = 50 N

N = 50 N

μ = 0.5

f = 0.5 * 50

f = 25 N

This means that the crate will start to move if applied force is ≥ 25 N. Any force lesser than or equal to 25 N will be opposed by an equal frictional force. For an applied force of 20 N to the right, the frictional force will be 20 N to the left.

Therefore, the resulting static friction force acting on the crate is 20 N to the left

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The magnitude of electric field is 28.225 N/C.

What is electric field?

Electric field is the ratio of the force by the charge whose direction depends on the electric force.

The magnitude of the electric field can be calculated as,

The initial momentum p1 = 1.2 x 10^-23 Kg m/s

The final momentum p2 = 4.0 x 10^-23 kg m/s.

Mass = 1.67 x 10^-27 kg.

Initial speed of proton (p1) = mu

u = p1 / m = (1.2 x 10^-23 kg m/s) / (1.67 x 10^-27 kg) = 7185.62 m/s.

Speed of proton p2,

v = p2 / m = (4.0 x 10^-23 kg m/s) / (1.67 x 10^-27 kg) = 23952.09 m/s.

Acceleration a = v -u / t

a = (23952.09 m/s - 7185.62 m/s) / 6.2 x 10^-6 s = 2704.26 x 10^6 m/s^2

E = ma / q

E = (1.67 x 10^-27 kg) (2704.26 x 10^6 m/s^2) / 1.6 x 10^-19 C

E = 2822.56 x 10^-2 N/C = 28.225 N/C

Therefore, the magnitude of electric field is 28.225 N/C.

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The answers are (a) velocity, v=2.8m/s , mass, m=0.0038kg and x=0.055m.

(b) v=2.7m/s.

Any object or system that has stored energy as a result of its position or component arrangement is said to have potential energy. Nevertheless, it is unaffected by external factors like air pressure or altitude. On the other hand, kinetic energy is the force that propels a moving object or group of particles.

(a) By equating the compressed spring's potential energy to the cork's kinetic energy at release, we have

The formula is :

k = [tex]\frac{1}{2} mv^2[/tex]

v = [tex]\sqrt{\frac{2k}{m} }[/tex]

And potential energy of spring = [tex]\frac{1}{2}mx^2[/tex]

On equating these two equations we get ;

v = x[tex]\sqrt{\frac{k}{m}[/tex]

After substituting the value of x = 5.5 cm and m = 3.8g we would get

v=2.8m/s m=0.0038kg and x=0.055m.

(b) In the novel scenario, there is some potential energy present just before release. Energy conservation changes when d=0.015m.

Similarly solving the question we get :

v = 2.7 m/s

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(a) The mass of the block is 9.45 grams and

(b) the tension is 53.4 N

Given : mass = 4.00 kg and block mass = 12 kg

the coefficient of friction or μ = 0.25

the force can be calculated by ;

(b) F₋ = μmg

F₋ = (0.25)( 12 ) (9.8)

F₋ = 29.4 N

the total force on the block

Fₐ = ma

Fₐ = (12 )(2)

Fₐ = 24 N

F is the applied force

thus Fₐ= F - F₋

F = Fₐ + F₋

F = 24 + 29.4

F = 53.4 N

And now we can calculate the (a) part by ;

(a) F₋ - Fₐ = m₋g - 39.2

m₋g = 53.4 + 39.2

m- = 92.6/9.8

m - = 9.45 g

Thus the mass of the block is 9.45 gram

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If the universe was infinite in both extent and age then we would expect the night sky to be uniformly bright.

The universe can be described as all of space and time including planets, stars, galaxies, and all other forms of matter and energy. The Big Bang Theory has given the cosmological description of the development of the universe.

Space and time emerged together approximately 13 billion years ago, and the universe is expanding ever since the Big Bang. While the spatial size of the universe is unknown and we can only measure the size of the observable universe.

From further observational improvements, the Sun can be defined as one of a few hundred billion stars in the Milky Way, which is one of a few hundred billion galaxies and also many of the stars in a galaxy have planets in the universe.

According to the Big Bang theory, matter and energy initially have become less dense as the universe expanded.

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Because of its even distribution, dark energy affects the entire universe rather than just a small portion of it locally. This produces a repelling force, which tends to hasten the universe's expansion.

A hypothetical type of energy known as dark energy behaves like the antithesis of gravity by exerting a repellent, negative force. The universe is thought to be expanding at an accelerated rate based on the observational characteristics of far-off type Ia supernovae. Galaxies are drawn together by dark matter while being pushed apart by dark energy. White dwarf supernova explosions, or type Ia supernovas, are used by astronomers to measure the universe's expansion. These explosions were what first revealed dark energy in 1998. Dark energy opposes gravity, so more of it speeds up the universe's expansion and slows down the development of large-scale structure. The Big Bang's energy was responsible for the early expansion of the universe. Since then, gravity and dark energy have been wrestling in the cosmos.

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The length of shadow decrease at 0.48 m/s.

Let the distance of the man from building = x

Initially, x = 12

It is given that dx/dt = -1.3 m/s

Let the shadow height be Y

Now, let us solve dy/dt when x = 4

From the concept of similar triangles, let us equate the base upon height ratios.

2/(12-x) = Y/12

Y = 24/(12-x)

dy/dt = 24/(12-x)² dx/dt

At x = 4, dy/dt becomes, 24/(12-4)²* (-1.3) = - 0.48 m/s

The negative sign indicates that the length of the shadow decreases at the rate of 0.48 m/s.

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The acceleration 0f book is 1.1029 m/s²

Acceleration is the general term for any process where the velocity changes. There are only two ways to accelerate: either by increasing speed or decreasing direction, or both. The reason for this is that velocity includes both a speed and a direction.

The definition of acceleration is the speed at which velocity varies with respect to time. Acceleration is a vector quantity since it has both a magnitude and a direction.

Given,

velocity = 2.25

time = 2.04

accerlation = v - v0/t

= Δv/Δt

= 2.25/2.04

= 1.1029 m/s²

Therefore the acceleration of book is 1.1029 m/s²

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The percent error in this measurement with an error margin of 0.5m is 5.8%

The accuracy and proximity of an estimate to the actual value of a specific experiment or quantity are measured in terms of percent error. Using this strategy, you may assess whether or not the data collecting is going in the proper path. Experts in statistics and big businesses are its main users. Students that are interested in studying economics should place a high priority on it.

The difference between a quantity's exact value and its approximate value is used to calculate percent error. This difference is then divided by the exact value and multiplied by 100 to represent it as a percentage of the exact value.

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The magnitude of the net force on the bicycle as it crosses the finish line is 1.26 N.

Here, we have been told that the radius of the course, r is = 140 m (i)

The time taken to cover the entire course is = 60 s (ii)

The mass of the bicycle is = 76 kg (iii)

We know the formula = a = v²/r. Using this formula and the values of (i), (ii), and (iii), we get -

= a = Δv/Δt = v - 0/60

= v = 1.53 m/s

Nt force due to weight and normal force are canceled. But the force due to the centripetal acceleration is -

= mv²/r

= 76*(1.53)²/140

= 1.26 N

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Thus, the force with magnitude 13500N is  greater.

What is centripetal force?

A force that pushes a moving object in a direction opposite to the motion's direction and tends to cause the object to move in a round or curved fashion. As an illustration of a centripetal force, consider the force of gravity acting on a satellite in orbit. In a similar manner, consider the friction created by the tires of an automobile turning.

What is angular velocity?

Angular velocity is the rate of change in the angle between two bodies or the pace at which an item revolves or rotates around an axis.

The centripetal acceleration, ac = 9.0 m/s2

The mass of the body = 3.0 kg

The force experienced by it ,

since v = rw where w is the angular frequency and r is the radius of the circular path followed

Here,

The second object is having a mass = 6.0 kg

radius of the path followed = 10.0 m

the angular velocity = 15.0 rad/s

The centripetal force, F = mrw2 = 6 x 10 x (15)2 = 13500N

Thus, the force with magnitude 13500N is  greater.

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The magnitude of the normal force acting on the space vehicle will be 5070 newtons. So option (4) is correct.

Given that,

The mass of the space vehicle is 1300 kilograms

It travels at a speed of 4.8 meters per second along the level surface of mars.

The g' (gravitational field strength) on the surface of mars is 3.9 newtons per kilogram

We need to find the normal force acting on the space vehicle

We know, N = mg' (where N is normal force)

N = (1300 × 3.9) Newton

N = 5070 Newton

So, the magnitude of the normal force acting on the space vehicle that is traveling at 4.8 meters per second along the level surface of mars will be 5070 newtons.

The normal force is the force that surfaces exert to prevent solid objects from passing through each other. The normal force is one type of ground reaction force.

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Non-Hearsay is pursuant to effect on the listener.

In physics, movement is a scalar quantity describing how a physical machine has changed through the years. Action is massive because the equations of motion of the device can be derived through the precept of stationary action.

Movement is while you're busy doing something, but that venture will by no means produce an outcome through itself. Motion, alternatively, is the type of behavior in an effort to get you a result.

An action pressure is a force this is implemented to an item. A response pressure is an outcome of an action force that's opposite in path.

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The moment of inertia of the rod with respect to a parallel axis through one end of the rod is I = M L²/3.

Given that, Icm is the moment of inertia of the object about an axis passing through its centre of mass

Ip is the moment of inertia of the object about a parallel axis passing through point p.

d is the perpendicular distance from the centre of mass to the axis that passes through the point p

Using parallel axis theorem, we can write, I = Icm + Md² ------(1)

The moment of inertia of the rod with respect to centre of mass is

Icm = ∫x² M/L dx = M/3 (L² -3Ld + 3d²) = M L²/12 (as d=L/2)

The distance from the centre of mass that coincides its geometric centre to the ends of the rod is d = L/2, substituting in (1), we have

I = 1/12 ML²+ M(L/2)² = ML² (1/12 + 1/4) = 1/3 ML²

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There is really only one way a sealed alpha source can hurt you is by ingestion .

The term "ingestion" describes the process of putting something into your body by swallowing it. When eating, drinking, biting one's fingernails, smoking, or ingesting mucus that has been polluted through inhalation, chemicals can be ingested. Systemic contamination happens when toxins enter the digestive tract and are either absorbed into the bloodstream through the stomach lining or after passing through the small intestine.

Consumption of a substance by an organism is referred to as ingestion. Ingestion is the process of taking food into the body from the mouth, chewing it, and then swallowing it to be processed further. In single-celled organisms, it happens when cell membranes absorb chemicals.

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The final and initial changes in the potential are Ui = 1.323 J and Uf =0 in the term of variables in the given problem.

The initial and final potential energies are usually calculate by the formula that has mgh terms.

Here we can calculate mgh :

[tex]mgh = 1/2 Iw^2 + mv^2 /2 \\2gh = r^2 w^2 + v^2\\2gh = r^2 v^2/ r^2 +v^2\\v^2 = gh = 9.8 × 0.75= 2.71 m/s\\w = v/ r= 33.9 rad/sec\\initial energy of potential =vi = mgh = 1.323.\\final energy of potential = vf = 0 as the height is = 0.[/tex]

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The torque about the origin on the plum if that torque is due to a force F is 12j.

Torque is a measure of the force that can cause an object to rotate approximately an axis. just as a force is what reasons an object to accelerate in linear kinematics, torque is what reasons an object to gather angular acceleration. Torque is a vector quantity.

calculation -

The torque about origin = v x f

= (-2i + 4k) x (6k)

= -12 (i x k) + 0

= 12j

Torque is the rotational equation of linear force. it's also called the instant, second of force, rotational pressure, or turning impact, depending on the field of observation. It represents the capability of pressure to supply an alternate within the rotational movement of the body.

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If you do not account for __dust____, you may conclude that the distribution of stars in the sky provides evidence that we are located at the center of the Milky Way.

: a wide band of light that can be seen in the night sky and is brought on by the light of many weak stars. 2. the galaxy in which we currently reside, which encompasses the Milky Way's star-forming region. It is located in the Milky Way galaxy (galaxy).

The Via Lactea, or "The Road of Milk," was the name the ancient Romans gave to our galaxy. In addition, the Greek word for "galaxy" also has a connection to the word "milk," according to the Astronomy Picture of the Day website.

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315 pm is the distance  for the center of mass of carbon monoxide in units of pm

distance= Med/Ms-Me

distance=12×10^5/16-12

distance=315 pm

Distance is the length between two locations or objects, and it is directionless. Since distance is a scalar property, it only takes into account the total magnitude and ignores the start and end locations. Since distance is a scalar characteristic, it can only have a positive or zero value; it cannot be negative.

The most common unit of measurement for distance is the meter (m), but you may also use kilometers (km) to describe greater distances and centimeters (cm) or millimeters to represent lesser distances (mm). When calculating distance, the letter D is usually used to denote the distance traveled.

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Yes, The batter hit a home run. The horizontal range is 161.18 m and the time of flight of a projectile is 4.95 s  

What is horizontal range and time of flight of a projectile?

The horizontal range of the projectile is given by R = (u^2 * Sin(2θ ) )/g
The time of flight of a projectile is given by , T = 2*u*Sinθ  /g
In the given problem
velocity of projectile, u = 41 m/s
angle of projection,θ = 35
The horizontal range of the projectile is given by R = (u^2 * Sin(2θ ) )/g

                                                                    = (41)^2 * Sin (70) / 9.8

                                                                     = 1681 * 0.9396 /9.8

                                                                    =  1579.62/9.8

                                                                   =   161.18 m
Therefore, the batter hit a home run as the range is greater than the distance to the fence(120m)
The time of flight of a projectile is given by ,

T = 2*u*Sinθ  /g

 = 2 * 41 * sin(35) / 9.8

 = 2 * 41 * 0.573 / 9.8

 = 470.33 / 9.8

 = 4.95 s                

Therefore the time of flight of a projectile is 4.95s

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An amplitude is the maximum displacement from the equilibrium position that an object in the periodic motion displays. It is represented as A.

Amplitude refers to the maximum displacement from equilibrium position that an object in the periodic motion shows. An example of amplitude is a pendulum which swings through its equilibrium point in a straight down manner, and then swing to a maximum distance away from the center position.

The symbol used for the representation of amplitude is A. The SI unit of amplitude is the meter (m) as it is a measure of length, however other units of length may also be used.

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The cross-section need to be revolved to create a sphere is Y = 1 .

The cross-section is defined as the shape obtained by the intersection of a solid and a plane. A cross section of a spatial figure is a two dimensional geometric figure. In other words, a cross-section is the shape obtained by cutting a solid surface parallel to the substrate.

There are two types of cross sections namely

a. Horizontal or parallel cross section : In a parallel cross section a plane intersects a solid horizontally ( parallel to the base) so that it forms a parallel cross section .

b. Vertical or Perpendicular Cross Section : In  a vertical cross section, the plane intersects the solid shape vertically ( viewed perpendicular to the base) so that it forms a perpendicular cross section.

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Answer:

Around line y=1, therefore, correct answer: D.

A horse near the outside rail of a merry-go-round and a horse near the inside rail will have same angular speed.

ω = 2 π / T

ω = Angular speed

T = Time period

ω ∝ 1 / T

Time period is the time taken by an object to complete one full rotation. A horse near the outside rail of a merry-go-round or a horse near the inside rail will both complete one rotation at the same time. So, angular velocity will be the same for both.

Therefore, a horse near the outside rail of a merry-go-round and a horse near the inside rail will have same angular speed.

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The factors that affect an object’s gravitational potential energy are its height with respect to some reference point, mass of the object, and the intensity of the gravitational field it is in.

Gravitational energy is the potential energy linked with the force due to gravitation, as work is required to displaces the objects against Earth’s gravity in upward direction. The potential energy due to displacement in positions is called gravitational potential energy, and the best example where gravitational potential energy can be seen is by water in an elevated reservoir or stored behind a dam. If an object falls from a point to another point inside a gravitational field, the force due to gravity will do some work in the positive direction on the object, and the gravitational potential energy will  starts to decrease by the same amount.

If we consider a book placed on top of a table. We can observe that some external force works against the gravity, while the book in on the table.  The potential energy stored by the book goes to accelerate the mass of the book and is converted into kinetic energy, if the book falls off the table. When the book hits the floor, this kinetic energy is converted into heat and sound by the impact with floor.

As we know that at any height from the ground the potential energy of the mass is given by

U = mgh

so potential energy depends on

1) mass of object (m)

2) acceleration due to gravity (g)

3) height from the earth surface (h)

Hence, height with respect to some reference point of the object, mass of the object, and the intensity of the gravitational field affects the gravitational potential energy of an object.

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The two examples of conjunctive adverb in a sentence ,

An adverb that joins two clauses by transforming the clause it introduces into an adverbial modifier of the verb in the main clause is known as a conjunctive adverb, adverbial conjunction, or subordinating adverb. For instance, in "He is aware because I informed him, and I told him. So he is aware "is a conjunctive adverb, so.

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If you stare a green dot for a relatively long period of time and then shift your gaze to a blank white screen, you would see a red negative after image.

This is based on the theory of colour vision. It states that all the colours we see and perceive in the natural world are made up of three colour complexes that have the opposite effects. The complexes are the red-green complex, the blue- yellow complex and the black-white complex.

This means that when we perceive one colour, for example, let us take green, the other colour won't be visible. This is what happened here. Later we get to see red and green gets vanished.

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The angular velocities of each object are based on the assumption B > C > A=F> D=E.

Velocity can be defined as the rate that an object moves in a specific direction. as the quickness of a car driving north on a motorway or the pace at which a rocket takes off. Because the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.

The increase in position (displacement) of an object over a period of time is referred to as its velocity. Speed can only be positive, whereas velocity can be either favourable or unfavourable because it combines both speed and direction.

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Fill in blank answers are- electron degeneracy pressure, nova, massive star supernova, white dwarf limit, accretion disk and white dwarf supernova

The radius of a white dwarf is determined by a balance between the inward force of gravity and the outward push of electron degeneracy pressure.

A nova occurs when hydrogen fusion ignites on the surface of a white dwarf in a binary system.

A massive star supernova occurs when fusion creates iron in the core of a star.

A white dwarf in a close binary system will explode as a supernova if it gains enough mass to exceed the white dwarf limit.

An accretion disk consists of hot, swirling gas captured by a white dwarf (or neutron star or black hole) from a binary companion star.

A white dwarf supernova can occur only in a binary system, and all such events are thought to have the same luminosity.

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The Biot-Savart law is used to represent the magnetic intensity because of the availability of magnetic current.

In physics, explicitly electromagnetism, the Biot–Savart law is a condition representing the attractive field produced by a constant electric flow. It states that “ magnetic field due to a current carrying conductor at a distance point is inversely proportional to the square of the distance between the conductor and point, and the magnetic field is directly proportional to the length of the conductor, current flowing in the conductor”.

The Biot Savart Law signifies that it is a scientific articulation which shows the attractive field delivered by a steady electric flow in the specific electromagnetism of material science. It tells the attractive field toward the greatness, length, heading, just as closeness of the electric flow.

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