How is kinetic energy proportional to velocity?

Answer:

Models use familiar objects to represent unfamiliar things. Models can help you visualize, or picture in your mind, something that is difficult to see or understand. Models can help scientists communicate their ideas, understand processes, and make predictions.

Explanation:

Answer:

Explanation:

When a body is thrown upwards, its velocity decreases. This is because the kinetic energy gradually changes into potential energy. At the highest point, the velocity becomes zero since the kinetic energy gets completely converted into potential energy.

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Answer: The volume of the ream is length times width times height

V = LWH

L = 11

W = 8.5

H = ??

(11)(8.5)H = 187

H = 187/[(11)(8.5)]

H = 2 inches

Answer:

Electromagnet.

Explanation:

Electric bulb and electric water heather are application of heating effect of electric current. The electromagnet is not the result of heating effect of electric current. The bulb gives light due to the heating effect similarly the water is heated or warmed by the heating effect of electric current.

Answer:

velocity and mass

Explanation:

The correct option about his position is : At 2L/9 you will see it tip over

Due to the fact that mass is the quantity of matter contained in an item and does not change with gravity, mass is always the same. As long as the amount of matter in an object doesn't change, its mass will remain constant. In contrast, an object's weight refers to the force of gravity acting on it.

No matter where you are in the cosmos, you have the same mass since mass is a measurement of how much matter is in an object. But because weight measures the force between an object and the body it is resting on, it fluctuates (whether that body is the Earth, the Moon, Mars, et cetera).

Given : A mass of student 40 kg

length is represented by l

Position of the pivot point from the board = l/3

The student should stand at 2L/9 you will see it tip over so as to weigh of 60kg.

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If an object is moving in such a way that the force of gravity is increasing its kinetic energy, you can conclude that the object is accelerating.

Fg = m g

KE = 1 / 2 m v²

Fg = Force of gravity

m = Mass

g = Acceleration due to gravity

KE = Kinetic energy

v = Velocity

Since mass cannot change and will remain constant,

KE ∝ v

As KE increases v increases meaning that there is change in velocity with respect to time.

a = dv / dt

a = Acceleration

dv = Change in velocity

dt = Change in time

Acceleration is the rate of change of velocity with respect to time. If velocity change there will be either acceleration or deceleration based of how the velocity changes.

Therefore, if an object is moving in such a way that the force of gravity is increasing its kinetic energy, you can conclude that the object is accelerating.

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If the motion (or polarity of the magnet) is reversed, the direction of deflection in a galvanometer is also reversed.

An electromechanical device used to measure electric current is a galvanometer. Early galvanometers were not calibrated, but later models, known as ammeters, were, and could measure current flow more precisely.

If the motion (or polarity of the magnet) is reversed, the direction of deflection in a galvanometer is also reversed. This suggests that an emf is produced anytime the magnetic flux connected to a coil changes.

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Answer:

Explanation:

A ) Let the angle be θ between magnetic field and velocity of charged particle

Force created on charged particle F

= Bqv sinθ, B is magnetic field , q is charge , v is velocity of charged particle

F = .05 x 2 x 10⁻⁶ x 10⁸ x sinθ

8 = 10 sinθ

sinθ = .8

θ =  53°.

B )

acceleration = force / mass

= 8 / 10⁻²⁰

= 8 x 10²⁰ m / s²

Answer:

0.832

Explanation:

8.320 x 10 to the negative 1st power is 0.832

The velocity of the load right after the brake of the lorry is suddenly applied at t = 6 s, is 16.9 m/s.

The velocity of the load is determined from the ratio of the load displacement and time taken.

Mathematically, the formula for displacement is given as;

Displacement = change in displacement / change in time

The displacement of the load at 6 seconds is calculated as;

D = area under the curve

D = (15 s - 6 s ) x (20 m/s - 0 m/s)  +  ¹/₂ (19 s - 15 s ) x (20 m/s - 0 m/s)

D = 180 m  + 40 m

D = 220 m

The velocity of the load;

v = ( 220 m ) / (19 s - 6 s )

v = 16.9 m/s

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Answer:

Explanation:

we know there is 24hr in a day so 4 day means 24x4 hrs which is 96hrs

now 1 hr have 60 min and 1 min is 60 sec. so, 1 hr have (60sec x 60) since 60 second is 1 min and 1 hr is 60 times that.

1hr = 60x60 =3600sec.

we know 4 day have 96hrs, so if we multiply 3600 with 96 we get it in seconds.

3600x96 = 345600 seconds.

Gabi has plans with her friends to go to a concert on her birthday in 4 days. Gabi has 345,600 seconds left to wait for her birthday concert.

Gabi determines how many seconds she has left to wait for her birthday concert.

There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. So, to calculate the total number of seconds in 4 days:

Total Seconds = 4 days × 24 hours/day × 60 minutes/hour × 60 seconds/minute

Total Seconds = 4 × 24 × 60 × 60

Total Seconds = 345,600 seconds

Therefore, Gabi has 345,600 seconds left to wait for her birthday concert.

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Answer:

-Relative refractive index– It is the ratio of speed of light in one medium to the speed of light in another medium

-Absolute refractive index– It is the ratio of light in vacuum to the speed of light in another medium.

Explanation:

Given data

*The initial speed of the driver is u = 24 m/s

*The final speed of the driver is v = 15 m/s

*The given time is t = 12 s

The formula for the automobile's acceleration is given as

Substitute the values in the above expression as

Answer:

reflection

Explanation:

Answer:

Refraction

I think

The ratio of the radius is Rx/Re = ρe/ρ\(x\), of both planets.

What is Radius?

The distance from any circular object's center to its outermost border or boundary is measured in terms of radius. A radius is a property of not only circles but also spheres, semi-spheres, cones with circular bases, and cylinders with circular bases. The distance between any point on the circle and its center is referred to as the radius of a circle, while the fixed point is known as the center of the circle.

What are the Calculations?

Gravity due to any planet on its surface is given by,

g = GM/R²

we have, M = ρ × 4/3 π R³

g = G × ρ × 4/3 π R³/ R²

Now, gravity is same so,

gx = ge

4/3 × ρe × π × G × Re = 4/3 × ρ\(x\) × π × G × R\(x\)

ρe × Re =  ρ\(x\) × R\(x\)

so,

 Rx/Re = ρe/ρ\(x\)

Hence, the ratio of the radius is Rx/Re = ρe/ρ\(x\).

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Four resistors of resistance r can be combined in a parallel circuit as follows to produce an equivalent resistance of r: Connect two resistors in parallel: This will give an equivalent resistance of r/2.

Repeat step 1 with the remaining two resistors: This will also give an equivalent resistance of r/2.

Connect the two pairs of resistors in series: This will give a total equivalent resistance of r/2 + r/2 = r.

So, by combining the four resistors in this way, we can obtain an equivalent resistance of r.

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The brain, not the eye, is what actually sees. Information is sent from the eye to the brain, but certain aspects of the signal are lost or changed in the process.

The human eye can perceive between 30 and 60 frames per second, according to some scientists. Some claim that the human eye cannot actually comprehend more than 60 frames per second.

Higher rates are seen as motion by the human visual system, which can process 10 to 12 pictures per second and perceive each one separately. The majority of participants in studies see modulated light (such a computer display) as steady when the rate is more than 50 Hz.

The screen will look smoother to the human eye the higher the number. This implies that a 120Hz display, which updates itself 120 times per second, would seem noticeably smoother and more natural than your typical 60Hz screen, which refreshes itself just 60 times each second.

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Answer:

Rubbing his hand and ironing is Mechanical Energy being transformed into Thermal Energy.

Throwing a rock vertically in using Kinetic Energy, it then transforms into Gravitational Energy as the rock falls.

Explanation:

First, as Kwane rubbing his and and iron his clothes using the energy to create heat, that is thermal being transformed.

The rock being thrown uses kinetic energy and due to graviational force of the earth, it is being transformed into Potential Gravitational Energy.

In relation to an observer, it takes 2.3727*10^-8 seconds at rest. to exist as you see it. Because cosmic radiation that strikes the atmosphere produces a particle known as a kaon.

Radiation from space is one natural source of radiation. High-energy charged particles, x-rays, and gamma rays are all components of cosmic radiation, which are created in space. The earth receives secondary radiation that is created when charged particles interact with the atmosphere. The stars, including our own sun, emit cosmic radiation. A particle is a small, localized item that can have many physical or chemical qualities, such as volume, density, or mass. The term particle—or corpuscule in older texts—is used in the physical sciences. The size or number of them varies widely.

T = t/(1-(v^2/c^2)

^1/2 = 1.375*10^-8/0.5795

T = 2.3727*10^-8sec

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When the current in a certain fuse exceeds 1.0 A, the fuse blows and melts. This means that the fuse cannot handle the high current and has reached its breaking point.

The melting of the fuse is due to the heating effect of the current passing through it. The higher the current, the more heat is generated and the quicker the fuse will melt.

The distance that the fuse melts is dependent on various factors, such as the material of the fuse and the current passing through it. In this case, we are given a few options for the distance the fuse melts, which are 0.63 mm and 0.91 mm.

It is important to note that if the current passing through the fuse is slightly above the limit of 1.0 A, the fuse may not immediately blow and melt. However, if the current remains high, the fuse will eventually reach its breaking point and melt.

It is crucial to use the correct fuse for a circuit to prevent damage or even dangerous situations. Fuses are designed to protect the circuit by blowing and melting when the current exceeds a certain limit. By doing so, they prevent damage to the circuit and any connected devices.

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Answer:That only applies to highly polished surfaces, eg mirrors.

If you take a high quality laser (ie with low divergence) and aim it at a wall, you can see the spot where the laser beam reaches the wall from anywhere with a direct line-of-sight to the spot where the laser beam reaches the wall. This due to micro imperfections on the surface of the wall. At a microscopic level, the wall surface is very rough and pointing in all directions.

As to why, a beam of light bounces of a highly polished surface, I can only surmise that it is essentially due to kinematics, ie the only force opposing the light beam is normal to the surface, hence there no forces along the reflective surface. Since there are no forces along the reflective surface, the speed component of light along the reflective surface remains unchanged. However, on the plane perpendicular to the reflective surface the, the light photons bounce off at the same speed at which the hit the reflective surface because the mass of the reflective surface is much much much larger than the mass of the photons, which means that the reflective surface won’t move at all. Since conservation of momentum requires that momentum after the collision be the same as the momentum before the collision then the only way for that to happen is if the velocity of the photon perpendicular to the reflective surface is of exactly the same magnitude but in the opposite direction. Vector resolution of the speed component of the reflected beam means that the angle of reflection must be the same as the angle of incidence.

Explanation:

The wind velocity can be determined by analyzing the boat's motion and the apparent wind direction.

1. The boat is traveling west at a speed of 5 km/hr.
2. The apparent wind direction is from the south.
3. When the boat's speed is doubled, the apparent wind direction is from the southwest.

To find the magnitude and direction of the wind's velocity, we can consider the boat's velocity as well as the apparent wind direction in both scenarios.

Let's denote the magnitude of the wind's velocity as "v" and the direction as "θ."

1. When the boat is traveling at 5 km/hr:
  - The boat's velocity is 5 km/hr to the west.
  - The apparent wind direction is from the south.
  - Therefore, the wind's velocity can be represented as the vector sum of the boat's velocity and the apparent wind direction. This vector sum forms a right angle triangle.
  - Using trigonometry, we can find the magnitude and direction of the wind's velocity in this scenario.

2. When the boat's speed is doubled to 10 km/hr:
  - The boat's velocity is 10 km/hr to the west.
  - The apparent wind direction is from the southwest.
  - Again, the wind's velocity can be represented as the vector sum of the boat's velocity and the apparent wind direction, forming a right angle triangle.
  - By using trigonometry, we can determine the magnitude and direction of the wind's velocity in this case.

By comparing the two scenarios, we can find the change in the wind's velocity magnitude and direction when the boat's speed is doubled. This information will help us determine the actual magnitude and direction of the wind's velocity.

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The displacement amplitude for sound waves with a frequency of 1000 Hz and a pressure amplitude of 3.0×10^(-2) Pa in air is approximately 3.3332×10^(-6) m.

To determine the relationship between the displacement amplitude and pressure amplitude of sound waves, we can use the formula for sound intensity:

I = (1/2) * ρ * v * A^2

Where:

I is the sound intensity

ρ is the density of the medium (in this case, air)

v is the velocity of sound in the medium

A is the displacement amplitude

Given:

Frequency (f) = 1000 Hz

Displacement amplitude (A) = 1.2×10^(-8) m

Pressure amplitude (P) = 3.0×10^(-2) Pa

Velocity of sound (v) = 344 m/s

First, we need to find the density of air (ρ). The density of air at standard conditions is approximately 1.225 kg/m^3.

Next, we can rearrange the formula for sound intensity to solve for the displacement amplitude (A):

I = (1/2) * ρ * v * A^2

A^2 = (2 * I) / (ρ * v)

A = √((2 * 3.0×10^(-2)) / (1.225 * 344))

A ≈ 3.3332×10^(-6) m

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The repair mechanism that is best suited for  DNA damage from ionizing radiation is Non-Homologous End Joining (NHEJ).

Explanation: DNA damage can occur due to exposure to ionizing radiation. This type of damage can be a single or double-strand break in the DNA. The Non-Homologous End Joining (NHEJ) is a repair mechanism that can repair both single and double-strand DNA breaks. It is known as non-homologous end joining because it involves repairing breaks without requiring a homologous template. The broken ends of the DNA strands are joined together and then ligated to complete the process. This type of repair mechanism is generally considered to be error-prone since the broken ends are joined back together without the use of a template.

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The matrix exponential of a matrix A with eigenvalues λ₁ and λ₂ is given by exp(A*t) = P [exp(λ₁*t) 0; 0 exp(λ₂*t)] P^(-1), where P is the matrix of eigenvectors.

To find the matrix exponential of a matrix with eigenvalues λ1 and λ2, denoted as A, we can use the formula:

exp(t*A) = c1*exp(λ1*t)*P1 + c2*exp(λ2*t)*P2

where c1 and c2 are constants determined by the initial conditions, P1 and P2 are the eigenvectors corresponding to λ1 and λ2, respectively.

Using the given eigenvalues, we have:

λ1 = -1/2, λ2 = 3/2

To find the eigenvectors, we solve the equation (A-λI)x = 0 for each eigenvalue:

For λ1 = -1/2:
(A - λ1*I) =
[5/2 1]
[1/2 3/2]

Solving (A - λ1*I)x = 0, we get:

[5/2 1] [x1]   [0]
[1/2 3/2] [x2] = [0]

Simplifying, we get:

5/2*x1 + x2 = 0
1/2*x1 + 3/2*x2 = 0

Solving the system of equations, we get x1 = -2 and x2 = 5.

Therefore, the eigenvector corresponding to λ1 is [-2; 5].

For λ2 = 3/2:
(A - λ2*I) =
[5/2 1]
[1/2 -1/2]

Solving (A - λ2*I)x = 0, we get:

[5/2 1] [x1]   [0]
[1/2 -1/2] [x2] = [0]

Simplifying, we get:

5/2*x1 + x2 = 0
1/2*x1 - 1/2*x2 = 0

Solving the system of equations, we get x1 = 1 and x2 = -1.

Therefore, the eigenvector corresponding to λ2 is [1; -1].

Now that we have the eigenvectors, we can use the formula for the matrix exponential:

exp(t*A) = c1*exp(λ1*t)*P1 + c2*exp(λ2*t)*P2

Plugging in the values we found, we get:

exp(t*A) = c1*exp(-1/2*t)*[-2; 5] + c2*exp(3/2*t)*[1; -1]

We need to find the constants c1 and c2 based on the initial conditions. Since this information is not given, we cannot determine the exact values for c1 and c2.

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Answer:

Digital signals are a more reliable form of transmitting information because an error in the amplitude or frequency value would have to be very large in order to cause a jump to a different value. Signals are composed of infinite possible values. Signals are composed of only two possible values: 0 or 1.

Explanation:

The equation for a cross section of the satellite dish is y² = 4px.

In a parabolic satellite dish, the receiver is placed at the focus of the parabola. The parabola is a symmetrical curve with the property that all incoming parallel rays of light (or radio waves in the case of a satellite dish) reflect off the surface and converge at the focus.

The standard equation for a parabola in Cartesian coordinates is y² = 4px, where (x, y) are the coordinates of any point on the parabola, p is the distance from the vertex (the point where the parabola intersects the axis of symmetry) to the focus, and y² = 4px represents the relationship between the x and y coordinates.

In the context of a satellite dish, the vertex of the parabola is typically located at the origin (0, 0), and the receiver is placed at the focus. Therefore, the equation for a cross section of the satellite dish can be written as y² = 4px, where p represents the distance from the focus to the vertex.

This equation describes the shape of the parabolic reflector of the satellite dish, ensuring that incoming signals parallel to the axis of symmetry are reflected towards the focus where the receiver is positioned.

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Answer:

The speed at which a planet orbits the Sun changes depending upon how far it is from the Sun. When a planet is closer to the Sun the Sun’s gravitational pull is stronger, so the planet moves faster. When a planet is further away from the sun the Sun’s gravitational pull is weaker, so the planet moves slower in its orbit.