Which of the following shows the figure rotated 90 degrees counterclockwise around the origin and then reflected across the x axis?

Answer:

2.40

Explanation:

Snell's law states:

n₁ sin θ₁ = n₂ sin θ₂

where n₁ and n₂ are the indexes of refraction, θ₁ is the angle of incidence (relative to the normal), and θ₂ is the angle of refraction (relative to the normal).

1.55 sin 39° = n sin 24°

n = 2.40

Answer:

A ratio of equivalent units

Explanation:

A conversion factor is a ratio of equivalent units and depends on which units are to be converted.

For example we want to convert 275 [mm] to inches, so we have to find the right conversion factor to allow us to work that conversion.

275 [mm] = inches = ?

[tex]275 [mm] * \frac{1in}{25.4mm} = 10.82 [in][/tex]

In this case the ratio is 1/25.4 = 0.039 [in/mm]

Answer: 2.15secs

Explanation:

Force = mass*velocity/time

F = 5N

M = 2.75kg

V = 3.90m/s

5.00 = 2.75*3.90/time

Time = 10.725/5.0 = 2.15sec

It will take approximately 2.145 seconds to stop a 2.75 kg ball traveling at 3.90 m/s with a constant force of -5.00 N.

First, we need to calculate the initial momentum of the ball using the formula:

Momentum (p) = mass (m) × velocity (v)

Given:

p (momentum) = 2.75 kg × 3.90 m/s

p (momentum) = 10.725 kg·m/s

Next, we use the principle of impulse to find the time needed to stop the ball. Impulse (J) is equal to the change in momentum, and it is also equal to the applied force (F) times the time (t):

Since the force applied is -5.00 N (acting against the ball's motion), we rearrange the equation to solve for time:

The change in momentum is equal to the initial momentum (since the final momentum will be 0 when the ball stops):

Thus,

Therefore, it will take approximately 2.145 seconds to stop the ball.

Answer:

it would be 86725.1 m

Explanation:

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Answer: 53.9ml/hr = 24.1m/s

Explanation:

Since 1ml = 1609m

And 1hr = 3600sec

53.9ml/hr = 53.9*1609/3600

= 24.1m/s

Answer:

1. Force = -623.43 N

2.Tension = 106.65 N

Explanation:

Let us call the bigger mass [tex]M[/tex], and the smaller mass [tex]m[/tex].

Since the two masses are connected to each other, they must experience same acceleration (if they didn't, the unequal acceleration will cause the string to break. )

From the free body diagram, the forces acting on the mass [tex]M[/tex] are

[tex]T - Mg-F_p[/tex],

and according to Newton Second Law, this causes acceleration [tex]a[/tex]; therefore,

(1).  [tex]\boxed{ T-Mg-F_p=Ma}[/tex].

Similarly, the forces acting on the mass [tex]m[/tex] are

[tex]T -mg[/tex],

which causes the acceleration [tex]-a[/tex] (upward); therefore,

[tex]T-mg=-ma \\[/tex]

or

[tex]\boxed{ mg-T = ma}[/tex]

From this equation we solve for [tex]T[/tex] and get:

[tex]T = mg-ma \\\\T =m(g-a).[/tex]

We put this into equation (1) and get:

[tex]m(g-a)-Mg-F_p=Ma[/tex]

[tex]F_p = m(g-a)-M(g+a)[/tex]

putting in [tex]M=62.4kg,m=13.5kg,[/tex] and [tex]a=1.9m/s^2[/tex], we get:

[tex]F_p=13.5(9.8-1.9)-62.4(9.8+1.9)\\\\\boxed{ F_p=-623.43N}[/tex]

The tension in the wire is

[tex]T =m(g-a)\\\\T = 13.5(9.8-1.9)\\\\\boxed{ T= 106.65N}[/tex]

Explanation:

The initial horizontal speed is 39 m/s, and the initial vertical speed is 0 m/s.

v₀ₓ = 39 m/s

v₀ᵧ = 0 m/s

In the y direction:

Δy = 73 m

v₀ᵧ = 0 m/s

aᵧ = 9.8 m/s²

Find: t

Δy = v₀ᵧ t + ½ aᵧt²

73 = 0 + ½ (9.8) t²

t = 3.9 s

In the x direction:

v₀ₓ = 39 m/s

aₓ = 0 m/s²

t = 3.9 s

Find: Δx

Δx = v₀ₓ t + ½ aₓt²

Δx = (39) (3.9) + 0

Δx = 150 m

The initial horizontal speed of the cannonball is 39 m/s, its initial vertical speed is 0 m/s, it remained in the air for approximately 3.86 seconds, and it landed about 150.3 meters from the base of the building.

The cannonball's initial horizontal speed is the speed at which it was fired, which is 39 m/s. Since the cannonball was fired horizontally, its initial vertical speed is 0 m/s.

To find out how long the ball was in the air, we need to use the equation of motion. With the use of the formula for the time of flight for a vertically projected body (t = √(2h/g)), where h is the height from which the cannonball was dropped, and g is the acceleration due to gravity, which is 9.8 m/s², we get t = √(2*73/9.8) = 3.86 seconds.

Finally, to find the distance along the ground, we multiply the time in the air by the horizontal speed (because the horizontal velocity stays consistent in a vacuum), so we get 39 m/s * 3.86 seconds = 150.3 meters.

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Answer:

d

Explanation:

Neither the medium nor the energy travels with the wave.

A wave is a disturbance in a medium that includes power with out a internet motion of particles. it could take the shape of elastic deformation, a version of stress, electric or magnetic depth, electric powered potential, or temperature.

wave, propagation of disturbances from region to location in a regular and organized way. most acquainted are floor waves that tour on water, however sound, light, and the movement of subatomic debris all exhibit wavelike homes.

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Answer: a= 1.77 m/s²

Explanation: acceleration is expressed in:

a= vf - vi / t

a= 18.8 m/s - 0 m/s / 10.6 s

a= 1.77 m/s²

Explanation:

Let the distance covered by the body be s, initial and final velocities be u and v respectively and time taken be t.

[tex] \therefore Average\: velocity = \frac{u+v}{2} \\\\ Now, \:we \:know\: that\\\\ Distance \:covered\\ = Average\: velocity \times time\\\\ \therefore s= \frac{(u+v) }{2} \times t..... (1)\\\\[/tex]

By first equation of motion:

[tex] v = u + at[/tex]

Substituting the value of v in equation (1), we find:

[tex] s= \frac{(u+u + at)}{2} \times t\\\\ \therefore s= \frac{(2u + at)}{2} \times t\\\\ \therefore s= \frac{(2ut + at^2)}{2}\\\\ \therefore s= \frac{2ut} {2}+ \frac{at^2}{2}\\\\ \huge \orange {\boxed {\therefore s= ut+ \frac{1}{2}at^2}} \\\\[/tex]

Hence proved.

Answer:

Acceleration = 3.5 [m/s^2]

Explanation:

We can solve this problem using Newton's second law, which states that the sum of forces on a body is equal to the product of the mass by the acceleration

F = 350 [N]

m = 100 [kg]

Using Newton's second law we have:

F = m*a

where:

F = force [N]

a = acceleration or desacceleration [m/s^2]

therefore:

a = 350/100

a = 3.5 [m/s^2]

The equivalent resistance between the point A and B is 0.95 ohm.

Explanation:

Solving for R3, R4, and R5 since they are in parallel formation. Their equivalent resistance could be

                            1 / R = (1 /R3) + (1 / R4) + (1 / R5)

                                    = (1 / 4.4) + (1 / 3.5) + (1 / 5.5)

                            1 / R = 0.69

                                 R = 1.43 ohm.

Next solving R6 and leg of this resistance which are in series connection,

                                  r = R + R6

                                    = 1.43 + 7.1)

                                  r = 8.53 ohm.

Finally the three resistance R1, R2 and the leg resistance which are in parallel connection,

                              1 / r = (1 / 1.9) + (1 / 2.5) + (1 / 8.53)

                                     = 1.04 ohm

Equivalent resistance R eq = 1 / 1.04 = 0.95 ohm.

The equivalent resistance of the circuit shown in the attachment is 0.958 Ω.

The resistor can be defined as a device that has some electrical resistance and that is used in an electric circuit for protection, operation, or current control.

Given that there are 6 resistors connected in-between points A and B as shown in the attachment.

R1 = 1.9 Ω, R2 = 2.5 Ω, R3 = 4.4 Ω, R4 = 3.5 Ω, R5 = 5.5 Ω, and R6 = 7.1 Ω.

The resistors R3, R4, and R5 are in parallel connections. Let's consider that R' is the equivalent resistor of this parallel connection, then,

[tex]\dfrac {1}{R'} =\dfrac {1}{R_3} + \dfrac {1}{R_4}+\dfrac {1}{R_5}[/tex]

[tex]\dfrac {1}{R'}= \dfrac {1}{4.4}+ \dfrac {1}{3.5}+\dfrac {1}{5.5}[/tex]

[tex]\dfrac {1}{R'}= 0.69[/tex]

[tex]R' = 1.45[/tex]

The equivalent resistor is in series connection with R6. Hence, the equivalent resistance R'' is given below.

[tex]R'' = R' + R_6[/tex]

[tex]R'' = 1.45 + 7.1[/tex]

[tex]R'' = 8.55[/tex]

Now the resistors R1, R2, and R'' are in parallel connection, so the equivalent resistor R is given as,

[tex]\dfrac {1}{R} = \dfrac {1}{R_1} + \dfrac {1}{R_2} + \dfrac {1}{R''}[/tex]

[tex]\dfrac {1}{R} = \dfrac {1}{1.9} +\dfrac {1}{2.5} +\dfrac {1}{8.55}[/tex]

[tex]\dfrac {1}{R} = 1.043[/tex]

[tex]R = 0.958[/tex]

Hence we can conclude that the equivalent resistance of the circuit shown in the attachment is 0.958 Ω.

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Answer:

F = -1.682 i + 3.374 j [N] ; F = 3.77[N]; α = 65.78°

Explanation:

In order to be able to understand this problem more easily, we will have to draw the vectors at the point of origin and in this way, with the help of the angles we will be able to find each of the components of the forces.

Looking at the attached image we can see each of the three forces, take each force and decompose them into the x & y axes.

F1 = 5.81 [N]

[tex]F_{1x} = 5.81*cos(77) = 1.306[N]\\F_{1y} = 5.81*sin(77) = 5.66[N][/tex]

F2= 4.88 [N]

[tex]F_{2x}= - 4.88*cos(180-156) =-4.458[N]\\F_{2y}= 4.88*sin(180-156) =1.984[N][/tex]

F3= 4.52 [N]

[tex]F_{3x} = 4.52*cos(360-289)=1.47[N]\\F_{3y} = - 4.52*sin(360-289) = -4.27[N][/tex]

Now we can sum each of the forces in the different components

[tex]F_{x} =F_{x1}+F_{x2}+F_{x3} = 1.306-4.458+1.47 = - 1.682[N]\\F_{y} =F_{y1}+F_{y2}+F_{y3} = 5.66+1.984-4.27 = 3.374[N][/tex]

F = -1.682 i + 3.374 j [N]

The total magnitude can be calculated by Pythagoras theorem

[tex]F = \sqrt{(1.682)^{2}+(3.374)^{2} } \\F = 3.77 [N][/tex]

The direction can be calculates as follows:

tan(α) = 3.374/1.682

α = 65.78°

This angle was calculated with respect to the horizontal

Answer: acceleration is equal to the change in velocity per unit time in seconds.

a= ∆v / t = vf - vi / t

Explanation: change in velocity or ∆v can be expressed as (vf - vi)

Answer:

Momentum of Block B after collision  is 200 kg.m/s

Explanation:

Momentum of block A before collision is [tex]p_{1A} = 450kg.m/s[/tex]

Momentum of block B before collision is [tex]p_{1B} = -150kg.m/s[/tex]

Momentum of block A after collision is [tex]p_{2A} = 100kg.m/s[/tex]

According to conservation of momentum, total momentum before collision is equal to total momentum after collision

[tex]p_{1A}+p_{1B}=p_{2A}+p_{2B}\\450-150=100+p_{2B}\\p_{2B}=300-100\\p_{2B}=200 kg.m/s[/tex]

Momentum of Block B afterwards is 200 kg.m/s

Answer:

200

Explanation:

Answer:

unbalanced force

Explanation:

i just did it.

Two forces acting opposite each other then the acceleration is caused if one force is greater in magnitude than the other.

A force can cause an object with mass to change its velocity (e.g. moving from a state of rest), i.e., to accelerate. Force can also be described intuitively as a push or a pull.

A force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newton (N). Force is represented by the symbol F (formerly P).

The original form of Newton's second law states that the net force acting upon an object is equal to the rate at which its momentum changes with time. If the mass of the object is constant, this law implies that the

Acceleration of an object is directly proportional to the net force acting on the object, is in the direction of the net force, and is inversely proportional to the mass of the object.

Hence Two forces act opposite each other then the acceleration is caused if one force is greater in magnitude than the other.

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Answer:

Is a particle

Explanation:

Gamma Ray is a particle and can be stopped with a very thick concrete and iron mixture.

Answer: Is a particle

Explanation:

Took a quiz!

Answer:

Explanation:

Magma is a molten and semi-molten rock mixture found under the surface of the Earth. This mixture is usually made up of four parts: a hot liquid base, called the melt; minerals crystallized by the melt; solid rocks incorporated into the melt from the surrounding confines; and dissolved gases. When magma is ejected by a volcano or other vent, the material is called lava. Magma that has cooled into a solid is called igneous rock. Magma is extremely hot—between 700° and 1,300° Celsius (1,292° and 2,372° Fahrenheit). This heat makes magma a very fluid and dynamic substance, able to create new landforms and engage physical and chemical transformations in a variety of different environments. How Magma Forms Earth is divided into three general layers. The core is the superheated center, the mantle is the thick, middle layer, and the crust is the top layer on which we live. Magma originates in the lower part of the Earth’s crust and in the upper portion of the mantle.

Molted magma comes outside Earth's surface and formed igneous rocks. Due to natural decay, this igneous rocks forms sedimentary rocks and due to  changes  of temperature, pressure and chemical changes both of the rocks transforms into metamorphic rocks.

A fundamental idea in geology, the rock cycle illustrates how the three primary types of rocks—sedimentary, metamorphic, and igneous—change over the course of geologic time.

When a rock is pushed out of its equilibrium circumstances, it changes. For instance, an igneous rock like basalt may disintegrate and evaporate when exposed to air or melt when it is subducted beneath a continent.

Rocks do not stay in an equilibrium state; rather, they change as they interact with new environments because of the driving forces of the rock cycle, plate tectonics, and the water cycle.

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Answer:

Rock breaking apart when it falls from a cliff

Rock breaking apart when it falls from a cliff is an example of physical weathering (option B)

Physical weathering, also known as mechanical weathering, involves the physical breakdown of rock into smaller pieces without changing its chemical composition.

In this case, the force of gravity and the impact of the falling rock cause it to break into smaller fragments, which is a mechanical process and a common example of physical weathering. The other options involve chemical weathering processes.

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Electromagnetic waves are not mechanical and transverse in nature, while

Sound waves are mechanical and longitudinal

Explanation:

In physics, waves are classified into two types:

Moreover, depending on the direction of the vibration, waves are further classified into:

Electromagnetic waves are not mechanical and transverse in nature (the oscillations of the electric and magnetic fields occur in a plane perpendicular to the direction of the wave), while

Sound waves are mechanical and longitudinal (the vibrations of the particles of the medium is back-and-forth along the direction of propagation of the wave)

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Answer:

26.8224

Explanation:

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₈₈ Ra²²⁸ → ₂He⁴ + ₈₆Rn²²⁴

Explanation:

Radium -228 is a radio-active element. It undergoes ∝- decay which means it emits a helium particle that is composed of 2 neutrons and 2 protons. Then the radium- 228 is converted into radon-224 which is again a radio-active element contains 86 protons and 138 neutrons by emitting an ∝-particle. The other isotopes of Ra²²³, Ra²²⁴ and Ra²²⁶ occurs naturally in the chain decay of the radio-active elements Uranium and Thorium. The ∝- decay of ₈₈ Ra²²⁸ is given as,

₈₈ Ra²²⁸ → ₂He⁴ + ₈₆Rn²²⁴  

Answer:

The direction of the force on a charged object moving through a magnetic field.

Explanation:

When considering the motion of a charged particle in a magnetic field, the important vectors are the magnetic field B, the velocity of the particle v, and the magnetic force exerted on the particle F. The vectors are all perpendicular to each other. As demonstrated by the right-hand rule.

Answer:

20784.6m

Explanation:

Check attachment

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1)The average acceleration of eagle is 1.75 m/s².

2) The average acceleration of roller coaster is 6 m/s².

3)Acceleration in m/s² is 4 m/s².

4) Acceleration required to stop the car is -17.9 m/s².

5) Acceleration required to stop the car is -8.78 m/s².

6) Acceleration of the plane is 2.87 m/s².

7)Acceleration of the sled is 243 m/s².

Answer:

Explanation:

1) Average acceleration is equal to the rate of change in velocity with respect to time. Here the final and initial velocities are given as 22 m/s and 15 m/s respectively and the time is given as 4 seconds.

So, average acceleration = (Final velocity-Initial velocity)/Time

Average acceleration = (22-15)/4= 1.75 m/s².

Thus, the average acceleration of eagle is 1.75 m/s²

2) Similarly we have to use the above formula for determining the average acceleration of the roller coaster. Here the initial velocity is 4 m/s and final velocity is 22 m/s and the time taken to reach this final speed is 3 seconds.

So, average acceleration = (Final velocity-Initial velocity)/Time

Average acceleration = (22-4)/3= 6 m/s².

Thus, the average acceleration of roller coaster is 6 m/s².

3) Acceleration = 26.8/6.7=4 m/s².

Acceleration in m/s² is 4 m/s².

4) Acceleration required to stop the car = -35.8/2=-17.9 m/s².

Acceleration required to stop the car is -17.9 m/s².

5) Acceleration of the car skidding to stop = (0-22.4)/2.55=-8.78 m/s².

Acceleration required to stop the car is -8.78 m/s².

6) Acceleration of the plane= 88.3/30.8=2.87 m/s².

Acceleration of the plane is 2.87 m/s².

7) Acceleration of the sled = 444/1.83=243 m/s².

Acceleration of the sled is 243 m/s².

The eagle's average acceleration is equal to 1.75 [tex]m/s^2[/tex].

Given the following data:

An acceleration can be defined as the rate of change of the velocity of an object with respect to time. Also, it is usually measured in meter per seconds square.

Mathematically, acceleration is given by this formula:

[tex]a = \frac{V\;-\;U}{t}[/tex]

Where:  

Substituting the given parameters into the formula, we have;

[tex]a = \frac{22\;-\;15}{4}\\\\a=\frac{7}{4}[/tex]

Acceleration, a = 1.75 [tex]m/s^2[/tex].

Note: You should use the above formula to solve the other exercises.

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Boiling water causes molecular movement to increase without breaking H₂O bonds. It's a physical change where molecules move farther apart as steam forms. Cooling steam back into water is reversible, showcasing the unique properties of water's hydrogen bonding.

When water undergoes a physical change, such as boiling, the arrangement of the water molecules changes due to increased kinetic energy. However, the chemical composition remains the same, meaning that the hydrogen and oxygen atoms do not separate into different atoms; they stay bonded as H₂O. The molecules move farther apart, transitioning from a liquid to a gaseous state without changing their actual molecular structure. This transformation requires the input of heat energy, and it is completely reversible; if the steam (water vapor) is cooled, it will condense back into liquid water, demonstrating one of water's unique characteristics due to its ability to form and break hydrogen bonds.

During the boiling of water, the hydrogen bonds between water molecules are broken as they gain enough kinetic energy to escape into the air as steam. When water freezes, however, these molecules form a crystalline structure that is less dense than liquid water, which explains why ice floats. This phenomenon is distinctive to water and differs from most other liquids, where the solid form is denser than the liquid.

Answer:

Elasticity

Explanation:

The  property of a body, by virtue of which it tends to regain its

original size and shape when the applied force is removed, is

known as elasticity and the deformation caused is known

as elastic deformation.

Ductility is the mechanical property that describes the extent to which solid materials can be plastically deformed without fracturing.

The mechanical property that describes the extent to which solid materials can be plastically deformed without fracturing is ductility.

Ductility is the ability of a material to undergo significant plastic deformation under tensile stress without breaking. Ductile materials, such as metals, can be stretched into thin wires or shaped into various forms without fracturing.

For example, copper and aluminum are highly ductile metals that can be easily drawn into wires and used for electrical conductivity, while brittle materials like glass or ceramic lack ductility and break easily when subjected to stress.

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Final answer:

Relative time determines the sequence of events without specific ages, while absolute time gives a precise measurement of age or date. Geologists use relative dating for stratigraphy and absolute dating for techniques like carbon dating. Time dilation in relativity illustrates that the rate of time is relative to the observer's motion.

Explanation:

The difference between relative time and absolute time lies in how they quantify the duration and sequence of events. Relative time refers to the sequence of events without assigning a specific age or date to them; it's a way to determine the order in which events have occurred. For instance, geologists use relative time to assert that one rock layer is older than another. On the other hand, absolute time or radiometric dating provides a precise measurement, giving an actual number or date to an event or object, such as specifying that a rock layer is 300 million years old.

These concepts are critical in fields such as geology, paleontology, and astronomy. In special relativity, the concept of time dilation shows that absolute time is not a fixed unit across all references, as the observed rate at which time passes depends on the observer's relative motion.

An example of relative dating would be using stratigraphy to understand that one geological layer is younger than the layer below it, while an example of absolute dating would be using carbon dating to determine the exact age of an archaeological object.

Answer:

2m/s

Explanation:

Speed= distance / time

?         =  60m      / 30s

speed= 60/30

60/30=2

speed= 2m/s

Answer:

The image will most likely be 20cm in front the mirror since the mirror was placed further 5cm.