The height of a moving object is given by
h(t)=2.69sin(3.90t+8.0)
where h is in feet and t is in seconds. Find the velocity at the instant t=2 seconds. Be accurate to 3 decimal places and include correct units.

Answer:

= 1440 kg·m/s

Explanation:

Step by Step Solution to find Momentum of Mass = 288 kg & Velocity = 5 m/s:

Given that,

mass (m) = 288 kg

velocity (v) = 5 m/s

Substitute the value into the formula

p = 288 x 5

p = 1440 kg·m/s

∴ Momentum (p) =1440 kg·m/s

Answer:

When you have two materials with the same index of refraction, it means that if they are touched by a ray of light it won't have a chance, and its form would prevail.

Explanation:

The reason behind this is that in the first place. When light passes through an object of certain refraction it is modified from its natural state, allowing it to change in color to the human eye or many other effects in other perceptive elements. However, when the same light passes through two objects with the same refraction due to their physical characteristics, it doesn't change because once it comes out of the first one it will suffer the same effect from the last one. For it to change the refraction would have to be higher or lower. Then it would be modified. The reason is because the dimensions are not modified. Because at some point the ray of light has to come out of the first one to enter the second one.

The gas pressure will decrease.

According to the Ideal Gas Law, PV=nRT, where P is the pressure, V is the volume, n is the number of molecules, R is the gas constant, and T is the temperature in Kelvin. When the volume and the number of molecules are constant, the pressure of a gas is directly proportional to the temperature.

This means that if the temperature decreases, the gas pressure will also decrease. So, in your case, a decrease in temperature would cause a decrease in gas pressure, assuming that there is a constant volume and a constant number of molecules.

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1) The energy in each pulse is 0.00975 joules.

2) The energy in each pulse is 6.08 × 10¹⁶ electron volts.

3) There are approximately 2.02 × 10³⁵ photons in each pulse.

To solve these questions, we can use the relationship between energy, power, and time.

1) To find the energy in each pulse in joules, we can use the formula: Energy = Power × Time.

  Plugging in the given values:

Energy = 0.650 W × 15.0 ms = 0.650 W × 0.015 s = 0.00975 J.

2) To convert the energy from joules to electron volts (eV), we can use the conversion factor: 1 eV = 1.602 × 10⁻¹⁹ J.

  Therefore, the energy in each pulse in electron volts is:

Energy = 0.00975 J / (1.602 × 10⁻¹⁹ J/eV) = 6.08 × 10¹⁶ eV.

3) To find the number of photons in each pulse, we can use the formula: Energy (in eV) = Number of photons × Energy per photon.

  Rearranging the formula: Number of photons = Energy (in eV) / Energy per photon.

  The energy per photon can be found using the formula: Energy per photon = Planck's constant × Speed of light / Wavelength.

  Plugging in the values: Energy per photon = (6.626 × 10⁻³⁴ J·s) × (2.998 × 10⁸ m/s) / (659 × 10⁻⁹ m) = 3.015 × 10^-19 J.

  Now we can calculate the number of photons: Number of photons = (6.08 × 10¹⁶ eV) / (3.015 × 10⁻¹⁹ J) = 2.02 × 10³⁵ photons.

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The electrostatic force between the two protons is approximately 2.307x10⁻²⁸ N.

The electrostatic force between two charged particles can be calculated using Coulomb's law, which states that the force (F) between two charges (q₁ and q₂) separated by a distance (r) is

given by F = (k * |q₁ * q₂|) / r², where k is the electrostatic constant (approximately 8.99x10⁹ N·m²/C²).

In this case, both protons have the same charge of 1.6x10⁻¹⁹ C. Plugging these values into Coulomb's law, we can calculate the force. Therefore, F = (8.99x10⁹ N·m²/C²) * |1.6x10⁻¹⁹ C * 1.6x10⁻¹⁹ C| / (0.001 m)² = 2.307x10⁻²⁸ N. Thus, the electrostatic force between the two protons is approximately 2.307x10⁻²⁸ N.

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When a capacitor that runs at 1,000 volts or less is disconnected from an active circuit, the charge must be reduced within a reasonable amount of time to a safe level or less.

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The width of the electron beam after traveling 10m is 122.7 mm.

The width of the electron beam after traveling 10m when a beam of 100ev electrons is sent through a single slit that is 1um wide.

Diffraction is the phenomenon of a wave, such as light or sound, spreading out when it encounters an obstacle or a slit with a size similar to its wavelength.

It is also known as Huygens-Fresnel principle.The formula to calculate the diffraction pattern of a single slit is given byd sin θ = λ,

where d is the width of the slit, θ is the angle between the incident light and the diffracted light, and λ is the wavelength of the light used.

In this case, we will consider electrons, so we need to use the de Broglie wavelength equation. The de Broglie wavelength (λ) of an object with mass (m) and velocity (v) is given byλ = h / mvwhere h is Planck's constant.

We can rewrite this equation asλ = 12.27 / √Ewhere E is the energy of the electron in eV. In this case, E = 100 eV, soλ = 12.27 / √100 = 1.227 nm.

Substitute the value of λ in the diffraction equation and solve for the angleθ = sin-1(λ/d)θ = sin-1(1.227 nm / 1000 nm) = 0.0721 rad.

To find the width of the beam after traveling 10 m, we need to use the formula for the diffraction pattern of a single slit, which is given byw = λL / dwhere L is the distance traveled by the beam.

In this case, L = 10 m and d = 1 µm = 10-6 m. Substituting the values, we get = (1.227 nm)(10 m) / (10-6 m) = 122.7 mmTherefore, the width of the electron beam after traveling 10m is 122.7 mm.

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88 kilometers northeast of Portland, amid the Cascade Mountains, is the stratovolcano Mount St. Helens. Since the volcano only developed about 40,000 years ago, it is a rather recent formation. It is the Cascade Range's most active, though.

The Cascade Mountain Range is a part of the Pacific Ocean's massive Ring of Fire, which frequently experiences powerful earthquakes and volcanic eruptions.

Through the state of Washington, the mountain range runs from British Columbia (Canada) to California.

The name of the summit was given by George Vancouver, a British navigator for the Royal Navy who discovered North America's Pacific Coast, according to the United States Geology Survey (USGS), in honor of Alleyne FitzHerbert, a British diplomat and a friend of his.

Therefore, 88 kilometers northeast of Portland, amid the Cascade Mountains, is the stratovolcano Mount St. Helens. Since the volcano only developed about 40,000 years ago, it is a rather recent formation. It is the Cascade Range's most active, though.

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Answer:

uranis

Explanation:

Answer:

Saturn

Explanation:

Saturn is most like earth because it has moons and the atmosphere is denser like Earth.

Jupiter is about 465 million miles away from the Sun. Jupiter lies about 5 Astronomical Units (A.U.) from the Sun.

You asked about the distance between Jupiter and the Sun. An A.U. is a unit of measurement that represents the average distance between the Earth and the Sun, which is approximately 93 million miles or 150 million kilometers. So, at its distance, Jupiter is about 5 times farther from the Sun than Earth is.

To calculate the actual distance between Jupiter and the Sun, you can simply multiply the number of A.U. by the average distance between the Earth and the Sun:

5 A.U. x 93 million miles (or 150 million kilometers) = 465 million miles (or 750 million kilometers)

So, Jupiter lies approximately 465 million miles (or 750 million kilometers) away from the Sun.

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Answer:

9 lần

Explanation:

Answer:

Kinetic energy (k.e) varies directly as v² from the formula

K.E=(mv²/2)

if v=3 then K.e =v²=(3)²=9

The various points on the heating curve corresponds to melting, boiling and vaporization.

A heating curve is a plot of temperature against  time. The heating curve reveals how the temperature of the body changes with time during heating.

The heating curve is not shown here hence the question is incomplete. However, we must note that The various points on the heating curve corresponds to melting, boiling and vaporization.

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Answer: I'm not exactly sure, but I would say the answer is

B. Throughout the heating curve (A --> E), kinetic energy is increasing.

Explanation: Throughout the entire heating curve diagram, it is not ALWAYS the kinetic energy increasing because Points B and D shows the potential energy increasing as it goes through the phase changes.

I'm sorry if it isn't right, but to lower the chances, I know for sure that the incorrect answers are C and D.

In conclusion, discrete numerical modeling of loose soil with spherical particles and interparticle rolling friction involves representing particles as discrete entities and simulating their interactions using mathematical equations. This approach allows us to study the behavior of loose soil and gain insights into its properties and response under different conditions.

Discrete numerical modeling is a technique used to simulate the behavior of loose soil with spherical particles and interparticle rolling friction. In this approach, the soil is represented by discrete particles, and their interactions are modeled using mathematical equations.
To simulate the behavior of loose soil, the following steps are typically involved:
1. Particle representation: Each particle in the soil is represented as a discrete entity with its own properties, such as size, shape, and material properties.
2. Interaction modeling: The interactions between particles are modeled based on physical principles, such as interparticle rolling friction. These interactions affect the movement and behavior of the particles.
3. Numerical simulation: Mathematical equations are used to simulate the motion of particles over time. These equations consider various factors, such as gravitational forces, interparticle friction, and contact forces between particles.
4. Solution calculation: The equations are solved numerically to obtain the positions and velocities of the particles at each time step.
5. Analysis and conclusion: The simulation results are analyzed to gain insights into the behavior of loose soil. This analysis can include studying the particle arrangements, deformation patterns, and other properties of the soil under different conditions.
In conclusion, discrete numerical modeling of loose soil with spherical particles and interparticle rolling friction involves representing particles as discrete entities and simulating their interactions using mathematical equations. This approach allows us to study the behavior of loose soil and gain insights into its properties and response under different conditions.

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La adicion de vectores permite encontrar la repuesta para la velocidad resultante del avión es:

Las magnitudes vectoriales son cantidades tienen modulo y dirección, la velocidad es una de estas magnitudes, por lo tanto deben ser sumada usando álgebra vectorial.

Un sistema de referencia es un sistema desde donde realizar las mediciones, en este caso indican que usemos un sistema de los puntos cardinales.

En el adjunto podemos ver un esquema de los vectores velocidad y su resultante, realicemos el calculo de la resultante por método analíticos

Indican que el valor de la velocidad hacia el Este es vₓ = 20 m/s y la velocidad hacia el Norte es v_y = 90 m/s, por lo tanto, para la magnitud usamos el Teorema de Pitágoras

           \(R= \sqrt{v_x^2 + v_y^2}\)

           R = \(\sqrt{20^2 + 90^2}\)

          R = 92,2 m/s

Para encontrar la direccion usemos trigonometría

          tan θ = \(\frac{v_y}{v_x}\)

          θ = tan⁻¹ \(\frac{v_y}{v_x}\)

          θ = tan⁻¹ 20/90

          θ = 12,5º

La dirección se lee 12,5º al Norte del Este

En conclusión usando la suma de vectores  podemos encontrar la repuesta para la velocidad resultante del avión es:

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if u throw a ball straight up its speed decreases .

the shape of the ball would be curved

velocity : top is zero

Answer:

11 hours, 55 minutes

Explanation:

Block of ice sliding down an incline has half its maximum kinetic energy at the bottom. The maximum kinetic energy of the block of ice will be reached at the bottom of the incline, where it has the highest velocity. Correct answer is option B

This is because the block of ice will experience a gain in kinetic energy as it slides down the incline due to the force of gravity.  According to the law of conservation of energy, the total energy of a system remains constant.

In this case, the potential energy of the block of ice at the top of the incline is converted into kinetic energy as it slides down. At any point during its descent, the sum of the block's kinetic and potential energy will be equal to the initial potential energy at the top of the incline.

Since the kinetic energy of the block of ice is proportional to the square of its velocity, if it has half of its maximum kinetic energy, it means that its velocity is half of the maximum velocity.

The velocity of the block of ice increases as it slides down the incline, reaching its maximum value at the bottom of the incline. Therefore, the block of ice will have half of its maximum kinetic energy at a point that is halfway down the incline in terms of its vertical distance.

However, in terms of its horizontal distance, the block of ice will have the highest kinetic energy at the bottom of the incline, where it has the highest velocity. Therefore, the correct answer is B)  

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Answer:

A.0 and - 1 m/s^2

Explanation:

The graph of velocity vs t permits estimate the acceleration because acceleration is the change of velocity respect time.

The change of velocity is the derivative of the velocity function, which is the same that the slope of the tangent line in the desired point.

The graph provided by you contains the tangent lines, so you can easily find the slope for the poiints x and y.

Point x:

The tangent line is horizontal, then the slope is zero, which means that at this point the acceleration is zero.

Point y: the the slope of the tangent line is rise / run Av / At =

= (50 m/s)/(7-12 s) = 5/(-5)= -1 m/s^2 = acceleration at point y

Answers: 0 and - 1 m/s^2

Explanation:

In order to find out if the keys will reach John or not, we can use the formula of projectile motion to find the maximum height reached by the keys:

H = V²Sin²θ/2g

where,

V = Launch Speed = 18 m/s

θ = Launch Angle = 40°

g = 9.8 m/s²

Therefore,

H = (18 m/s)²[Sin 40°]²/(2)(9.8 m/s²)

H = 6.83 m

Hence, the maximum height that can be reached by the projectile or the keys is greater than the height of John's Balcony(5.33 m).

Therefore, the keys will make it back to John.

John accidentally drops his keys off the balcony at his apartment. John's friend Tony just happens to walk by at that moment and picks up the keys to throw them back up to John. If John is 5.33 meters above the sidewalk where Tony is, and Tony throws at 18 m/s at a 40 degree angle above the horizontal, will the keys make it back to John?

The answer is d. Turn Jimmy in despite his protests

Answer:

Induced magnetism

Explanation:

Answer:

induced magnetism

Explanation:

Placing a piece of metal such as an iron bar into a magnetic field, thereby causing the bar to become magnetized, is known as induced magnetism. Typically, an object that has been magnetized in this manner will lose its magnetic properties quickly when removed from the magnetic field.

We are asked to determine the magnitude of the force that acts parallel to the nail. To do that we will add the torque that acts on the point of contact. First, we draw a free-body diagram of the situation:

We have decomposed the force of the nail into its horizontal and vertical components. The horizontal component does no torque since there is no distance parallel to the force to the point of contact.

Now, we add the torques. We consider counterclockwise as positive:

Since we consider the moment before there is no angular acceleration the sum of torques adds up to zero:

Now, we determine the value of Ry as a function of "R" using the trigonometric function cosine:

Now, we multiply both sides by "R":

Now, we substitute in the sum of torques:

Now, we solve for "R". First, we add "30F" to both sides:

Now, we divide both sides by 5cm:

Now, we divide both sides by cosine:

Now, we substitute the values:

Solving the operations:

Therefore, the force on the nail is 1042.8 Newtons.

Answer:

g=1.77π2xm/s2

Explanation:

T

=

2

π

√

l

g

∴

√

l

g

=

T

2

π

∴

l

g

=

T

2

4

π

2

∴

g

l

=

4

π

2

T

2

∴

g

=

4

π

2

l

T

2

g

=

4

π

2

×

1.00

1.50

2

=

1.77

π

2

x

m/s

2

Answer:

4/3 pi R^3 = pi r^2 L     equating volume of sphere and wire

r = (4 R^3 / 3 * L)^1/2      solving for radius of wire

r = (4 * 6^3 / 3 * 32)^1/2

r = 9^1/2 cm = 3 cm = .03 meters

Answer:264m

Explanation: 12 x 22= 264m

Answer: D. thousands to millions of years

Explanation: Stages within a rock's cycle cannot happen quickly. The formation and deterioration can take thousands to millions of years to occur.

I hope this helps!

Good luck <3

Answer:

3.3m/s

Explanation:

speed =Distance /Time

x=400m

t=2mintues=2min*60sec/min=120seconds

S=400m/120s

S=3.33333...

therefore speed = 3.3m/s

The speed of an object is the distance divided by the time of travel. The speed of the person running 400 meters in 2 minutes is 3.3 m/s.

Speed is a physical quantity used  to measure the distance covered per unit time. Speed is a scalar quantity thus, having magnitude only. The rate of speed is called velocity. Velocity is a vector quantity.

Speed in physics is the ratio of the distance covered per unit time. Thus, speed can have the units m/s, Km/hr, ft/s miles/s etc. As the time of the travel increases, speed is said to be decreasing.

The distance covered  = 400 meters.

time = 2 minutes = 2 × 60 s = 120 s

Speed = distance / time

           = 400 m/ 120 s

           = 3.3 m/s.

Therefore, the speed is 3.3 m/s.

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The identity of a monoatomic gas can be determined by calculating its average thermal velocity using the given temperature. In this case, if the average thermal velocity is 245 m/s at 100 °C, the gas is most likely helium (He).

The average thermal velocity of a gas is related to its temperature and molecular mass. For monoatomic gases, the relationship is given by the equation:

v_avg = sqrt((3kT) / m)

Where:

v_avg is the average thermal velocity

k is the Boltzmann constant

T is the temperature in Kelvin

m is the molecular mass of the gas

To find the identity of the gas, we can rearrange the equation:

m = (3kT) / v_avg²

Given that the temperature is 100 °C, we need to convert it to Kelvin:

T = 100 + 273.15 = 373.15 K

Substituting the values into the equation:

m = (3 * 1.38e-23 * 373.15) / (245²)

After performing the calculations, we find that the molecular mass of the gas is approximately 4 atomic mass units (u). This corresponds to the molecular mass of helium (He), indicating that the gas in question is helium.

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