A 150-kg crate is placed on an adjustable inclined plane. If the crate slides down the incline with an acceleration of 0.70 m/s2 when the incline angle is 20°, then what should the incline angle be for the crate to slide down the plane at constant speed? (g = 9.8 m/s2)A. 21°B. 16°C. 11°D. 26°E. ​6°

Answer:

The description including its issue is summarized throughout the clarification portion below.

Explanation:

In circuit analysis, Laplace transform plays an important role in simplifying the analysis of circuits. It is a powerful tool that transforms time-domain functions into a complex-frequency domain, which is easier to deal with.

In order to find v_c(t) by means of Laplace Transform, we can follow the steps below:

First, we need to find the Laplace Transform of the given input voltage V_ i(t), which is defined as:

L[V_i(t)]

= V_i(s)

= 4/(s+4)

Next, we need to write down the differential equation that governs the behavior of the circuit. In this case, it is given by:

RC dv_c(t)/dt + v_c(t)

= V_i(t)

where RC is the time constant of the circuit.

Next, we can take the Laplace Transform of both sides of the differential equation, using the properties of linearity and differentiation of Laplace Transform. This yields:

RC s V_c(s) + V_c(s

) = V_i(s)

Finally, we can solve for V_c(s) in terms of V_i(s), which gives us:

V_c(s)

= V_i(s)/(RC s + 1)

Substituting the value of V_i(s) from the first step, we get:V_c(s)

= 4/(s+4)(RC s+1)

Taking the inverse Laplace Transform of this expression gives us

v_c(t):L^{-1}[V_c(s)]

= v_c(t) = L^{-1}[4/(s+4)(RC s+1)]

Now, we can use partial fraction decomposition to simplify the expression inside the inverse Laplace Transform.

After doing the math, we get:

v_c(t)

= (4/RC)[1 - e^(-t/RC)] u(t)

where u(t) is the unit step function that is equal to 1 for t >

= 0 and 0 for t < 0.

Therefore, the answer is:v_c(t)

= (4/RC)[1 - e^(-t/RC)] u(t)

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Answer: The correct option is A ( because the Earth is rotating, with the telescope attached to it).

Explanation:

A telescope is a device that is used mostly for viewing distant objects. It's an optical instruments as it's made up of lens and curved mirror depending on the type of telescope. The first telescope was invented by Hans Lippershey in 1608. It is used extensively in war,sea and astronomical discoveries.

Parts of a typical telescope includes:

--> the optical system: this is the most important part of a telescope. This determines the optical aperture of the telescope, how bright or how sharp the formed image would be. This can be a lens or a mirror.

--> Eyepiece: this magnifies the image formed.

--> Motorized drive system: these drive system are mounted with the telescope to aid in a quick and smooth movement while detecting, for example, celestial bodies. This part of the telescope is important as the telescope is mounted on the earth surface which rotates about its axis from west to east. Since the drive system is motorized, it can automatically move very smoothly from east to west at exactly the same rate that Earth is rotating from west to east, so it can continue to point at the object being observed.

Centripetal acceleration ac is the acceleration experienced while in uniform circular motion. It always points toward the center of rotation. It is perpendicular to the linear velocity (tangential speed) v and has the magnitude:

\(a_c = \dfrac{v^2}{R}\)

Solving for v:

\(v = \sqrt{a_c R} = \sqrt{(250\;m/s^2)(0.50\;m)} = 5\sqrt{5}\;m/s \approx 11.18\;m/s\)

The yo-yo’s tangential speed 11.18 m/sec.

The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

Centripetal acceleration ac is the acceleration experienced while in uniform circular motion. It always points toward the center of rotation. It is perpendicular to the linear velocity (tangential speed) v and has the magnitude:

\(a_{c} = v^2/r\)

Solving for v

\(v = \sqrt{a_{c}r }\) = 11.18 m/sec

The yo-yo’s tangential speed 11.18 m/sec.

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Answer:

5

Explanation:

you would divide 150 by 30 and you get 5

Answer:

Electrical energy is transferred from the wall socket to the computer. Electrical energy is transformed to sound and light energy when the computer is turned on. Electrical energy is transformed to heat energy when the computer stays on.

Answer:

ball b has the greater mass.

Explanation:

b only moved because a bumped into it. if a bounced back, it had less mass and b moved slowly.

A comet with just an orbit last 200 years or less is referred to as a periodic and short-period comet, including Halley. Compared to long-period comet, whose orbits endure for thousands of years.

Correct option is, B.

An astronomical object in interstellar that isn't gravitationally connected to a star, such as an asteroid, comet, or rogue planet, is referred to as an interstellar object.

Comets are frozen remnants of the solar system's origin made of ice, rock, and dust. These can be several miles or tens of miles across, but when they approach it Sun, they heat it up and eject gases or dust into a luminous head that may be as big as a planet.

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Answer:

E = 3456 J

Explanation:

The electrical energy expended in a resistor can be easily calculated by using the following formula:

\(E = Pt\)

where,

E = Energy Expended = ?

I = current through 5 ohm resistor = 2.4 A

R = Resistance = 5 ohms

P = Electrical Power = VI

Since,

V = IR (Ohm's Law)

Therefore,

P = (IR)(I) = I²R = (2.4 A)²(5 ohms) = 28.8 Watt

t = time taken = (2 min)(60 s/1 min) = 120 s

Therefore,

E = (28.8 Watt)(120 s)

E = 3456 J

Answer:

A Magnet

Explanation:

Edge 2021

Answer:

The answer is the last option, A Magnet

Explanation:

One of team sports activity that can help with the student and teacher develop locomotor skill is Simon Says.

Children who have developed their locomotor skills are better able to navigate the world around them, which in turn helps them become more self-assured and gives them a greater appreciation for their independence.

One of a game that can help to develop locomotor skills is Simon Says. This is a classic party game with a twist: instead of just standing around, the caller (Simon) must call out a different kind of locomotion for each player to perform. The person who moves becomes the "caller" if the caller doesn't say "Simon Says" before calling the movement.

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Answer: melting

Explanation: Becuse that is the science

If the current in a long straight wire is increasing, the current is induced in the circular loop will be generated in the nearby circular loop.

Faraday's Law states that the electromotive force (EMF) induced in a circuit is proportional to the rate of change of magnetic flux passing through it. As the current in the straight wire increases, the magnetic field around it strengthens, and the change in magnetic flux through the circular loop causes an induced current. The direction of this induced current is determined by Lenz's Law, which states that the induced current will flow in such a way as to oppose the change in magnetic flux causing it.

In this case, as the magnetic field due to the straight wire increases, the induced current in the circular loop will flow in a direction that generates a magnetic field opposing the increase in the straight wire's magnetic field. The magnitude of the induced current depends on the rate of change of the magnetic field, the loop's size, shape, and distance from the straight wire, as well as the resistance of the loop's material. If the current in a long straight wire is increasing, the current is induced in the circular loop will be generated in the nearby circular loop.

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Answer:

6.58×10⁻¹⁸ J

Explanation:

Applying

E = kq²/r.................. Equation 1

Where E = potential energy, q = charge on each electron, r = distance between the electron, k = coulomb's constant.

From the question,

Given: r = 3.5×10⁻¹¹ m,

Constant: q = 1.6×10⁻¹⁹ C, k = 8.99×10⁹ Nm²/C²

Substitute these values into equation 1

E = (1.6×10⁻¹⁹)²(8.99×10⁹)/(3.5×10⁻¹¹)

E = 6.58×10⁻¹⁸ J

Answer:

 its not long dummy, its your imagination

Explanation:

If P(A) = 0.996, then the complement P(Ā) can be calculated by subtracting P(A) from 1:  the value of P(Ā) is 0.004 or 0.4%.

a) Event Ā is always unusual.

This option is incorrect. The notation Ā does not imply that the event is always unusual. It simply represents the complement of event A.

b) Event Ā denotes the complement of event A, meaning that Ā and A share some but not all outcomes.

This option is correct. The notation Ā represents the complement of event A, which means that Ā consists of all outcomes that are not in event A. In other words, if an outcome is not in A, it will be in Ā, and vice versa. However, it is possible for some outcomes to be in both A and Ā if the sample space contains overlapping events.

c) Events A and Ā share all outcomes.

This option is incorrect. Events A and Ā are complementary, which means that they do not share any outcomes. The union of A and Ā should cover the entire sample space.

d) Event Ā denotes the complement of event A, meaning that Ā consists of all outcomes in which event A does not occur.

This option is correct. Event Ā represents the complement of event A, which means that Ā consists of all outcomes in which event A does not occur. In other words, Ā includes all the outcomes that are not part of event A.

If P(A) = 0.996, then the complement P(Ā) can be calculated by subtracting P(A) from 1:

P(Ā) = 1 - P(A) = 1 - 0.996 = 0.004

Therefore, the value of P(Ā) is 0.004 or 0.4%.

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ANSWER

False

EXPLANATION

Magnification is a measure of an image's size compared to the size of the object that formed the image.

Since magnification is a ratio that is proportional to the sizes of the image and object, it follows that if magnification is less than 1, the image is smaller than the object, if magnification is equal to 1, the image and object are the same size and if magnification is greater than 1, the image is larger than the object.

Therefore, it is False.

Answer: Answer is D

I took the test little while back.

3rd class with RA of 20 and FA of 10 levers would be best to use to move a specific object if your only objective was speed of the object's movement.

Speed, which is a scalar quantity, is the "speed at which an object is moving." The rate at which an object travels a distance can be thought of as its speed. A fast-moving object travels at a high speed and completes a significant distance in a brief period of time.

Miles per hour (mph), kilometres per hour (km/h), and metres per second (m/s) are the three most popular speed units (mph). The distance an object covers in a given amount of time is its speed. Speed equals distance x time is the speed equation. The metre per second, abbreviated as m/s or ms-1, is the SI unit of speed.

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NOTE: The given question is incomplete on the portal. Here is the complete question.

QUESTION: Which of the following levers would be best to use to move a specific object if your only objective was speed of the object's movement?

A. 1st class with RA of 10 and FA of 20

B. 2nd class with RA of 10 and FA of 20

C. 3rd class with RA of 20 and FA of 10

D. each would be just as effective as the others

The change in the system's potential energy is 151 joules.

In an isolated system, the total energy is conserved. The change in potential energy \((\( \Delta U \))\) can be determined by subtracting the change in kinetic energy from the total energy change.

If the sum of particle energies in the system increases by 151 joules, it implies that the total energy has increased by 151 joules. Let's assume the change in kinetic energy \((\( \Delta K \))\) is 0, then:

\(\(\Delta U = \Delta E - \Delta K = \Delta E - 0 = 151 \, \text{joules}\)\)

Therefore, the change in the system's potential energy is 151 joules.

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Answer:

The amount of force will increase

Explanation:

(a) The instantaneous source voltage can be determined by using the given magnitude and phase angle. Since the phase angle is 0°, the instantaneous source voltage can be written as:

V(t) = 277 * cos(2π * 60 * t)

(b) For a 30-Ω resistor, the current entering the positive terminal is the same as the source current. Since the voltage and resistance are given, we can use Ohm's law to determine the current:

I(t) = V(t) / R = (277 * cos(2π * 60 * t)) / 30

(c) For a 15-mH inductor, the phasor current can be determined using the formula:

I = V / jωL

where j is the imaginary unit (√(-1)), ω is the angular frequency (2π * frequency), and L is the inductance. In this case, ω = 2π * 60 and L = 15 * 10^(-3):

I = (277 ∠0°) / (j * 2π * 60 * 15 * 10^(-3))

To find the instantaneous current, we can take the real part of the phasor current and then convert it to the time-domain using cosine function:

I(t) = Re(I * e^(jωt))

(d) For a capacitor with 100 mF, the phasor current can be determined using the formula:

I = jωCV

where C is the capacitance. In this case, ω = 2π * 60 and C = 100 * 10^(-3):

I = (j * 2π * 60 * 100 * 10^(-3)) * 277 ∠0°

To find the instantaneous current, we can take the imaginary part of the phasor current and then convert it to the time-domain using sine function:

I(t) = Im(I * e^(jωt))

Answer:

Power generate by elephant = 666.67 W

Explanation:

Given:

Force = 2,000 N

Change in time = 45 Seconds

Distance = 15 meter

Find:

Power generate by elephant ?

Computation:

⇒ Work Done = Force × Distance

⇒ Work Done = 2,000 × 15

⇒ Work Done = 30,000

⇒ Power = Work Done / Time taken

⇒ Power generate by elephant = 30,000 / 45 seconds

⇒ Power generate by elephant = 666.67 W

The most scientific guess (hypothesis) based on what is known about the behavior of galaxies is that Galaxies are continuously moving away from each other. This hypothesis can be tested using Hubble's Law.

Hubble's law indicates that almost all galaxies are moving apart from one another because the universe as a whole is expanding. Choose any two galaxies at arbitrarily, and they're most likely traveling apart from each other.

Hubble discovered that galaxies move away from us at a rate proportionate to their distance: more distant galaxies move away faster than closer ones. The accompanying graphic shows Hubble's classic graph of measured velocity vs. distance for neighboring galaxies.

The graph shows a linear relationship between galaxy velocity (v) and distance (d).

The equation for the above linear relationship is:

                                          v = H₀ x d

Where:

H₀ is the expansion rate

v = velocity of the galaxy; and

d = distance.

Using the above formula, the astronomer can measure or test to know whether indeed the new galaxy is moving relative to the Milky Way galaxy and at what rate.

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Answer: Test criteria offers assistance the analyzer(s) to compose the test prepare. They ought to be chosen in understanding with the accessible test exertion. Test scope measures are characterized as a proportion between the test cases required for fulfilling the criteria and those of these which have been executed

Answer 7575

Explanation: the numbers are cool

Answer: Galileo's laws of Motion determined that the natural state of an object is rest or uniform motion, objects always have a velocity, sometimes that velocity has a magnitude of zero rest. objects resist change in motion, which is called inertia.

Explanation:

Galileo failed to formulate equations to describe this type of motion because he was unable to prove this motion by direct or obvious means.

Galileo introduced two different propositions to describe motion of an object, which includes;

Galileo considered to define uniform acceleration as change in speed over equal change in distance or change in velocity over equal change in time of motion.

Galileo chose the later definition, "uniform acceleration as the change in velocity over equal change in time of motion".

Galileo failed to formulate equations to describe this type of motion because he was unable to prove this motion by direct or obvious means.

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Answer:

A capacitor can store a larger amount of electric potential.

Answer:

Explanation:

If you pour hazardous household waste in ditches, storm drains, or gutters, it can poison plants and wildlife, contaminate the soil, and harm children and adults who come in contact with it. When it rains, the hazardous household waste travels directly to nearby streams, rivers, and lakes.

Answer:

Buried in the garden – dangerous chemicals and poison can leach into the surface or groundwater. This can affect the soil, plants and water for a long time. ... It may also pollute waterways and drinking water if sent to normal landfills. Hazardous waste should only be stored in specially designed landfills.

Explanation:

putting it somewhere else is safer