The pendulum shown in the figure sweeps out an angle of =22.7∘ during its motion. How far does the pendulum bob (the ball at the end of the rope) travel in one complete cycle of motion if its length is =32.7 cm?

A train accelerates at a constant rate of 1 m/s², then the velocity of the train after time t₁ will be equal to 15.25 m/s.

Velocity is really the direction speed of an item in motion as a measure of the rate at which its location is changing as seen through a particular point of view and as determined by a specific unit of time. A key idea in kinematics, the area of classical physics that studies how bodies move, is velocity.

Acceleration, a = 1 m/s²

Distance, d = 24.5 m

Time, t = 2 s

Velocity, v₂ = 31 m/s

By the equation of motion,

v = u + at

v = v₁

t = t₁

v = v₁ - 4.2      (1)

24.5 = u(2) + 1/2(1)(2²)

u = 11.25 m/s

v₁ = u + 4

v₁ = 11.25 + 4

v₁ = 15.25 m/s.

Therefore, the velocity of the train after time t₁ is 15.25 m/s.

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Answer:

An ammeter has a zero offset error. This fault will affect. neither the precision nor the accuracy of the readings. only the precision of the readings.

The accuracy of the present measurement will be impacted by an ammeter's zero offset inaccuracy, but the precision of the measurement will not change.

Resistance is the obstruction of electrons in an electrically conducting material.

voltage = current ×resistance

How accurate measurement or reading is may be determined by its accuracy. The measurements will be off because of zero inaccuracy.

Thus, The precision of the measurement would not alter if an ammeter made a mistake with its zero offsets, but the accuracy of the current measurement would be decreased.

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Answer:

4618.9N

Explanation:

We need to start of by calculating the Gravitational Force (acceleration) of the Earth (IF it was the same size as the moon) which is showed as follows:

\(g = \frac{GM}{r^2}\) where g is the gravitational acceleration, G is the gravitational constant (6.673 × \(10^{-11}\) Nm^2kg^-2), M is the mass of the planet, r is the radius of the planet.

Substituting the values as given in the question,

\(g = \frac{6.673 * 10^{-11} * 4 * 10^{24}}{(1.7*1000 * 1000)^2}\\\\= \frac{26.69200 * 10^{13}}{2890000000000}\\\\\\= 92.3598615917 N/kg\)

Hence, the gravitational force is 92.4N/kg (or m/s^2).

Considering this,

50 * 92.4 = 4618.89N ≈ 4618.9N

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Answer: True

Explanation:

Answer: the answer would be C trust me i took the test if its not that its b

hope that helps

Explanation: i took the test

answer:

a) lower because the sound-wave fronts reach the platform at a frequency lower than the frequency at which they are produced

explanation :3

If the train is leaving the train station, then the people who are standing on the platform would hear a sound with a lower frequency since the train is moving further away. ^^

\({\mathfrak{\underline{\purple{\:\:\: Given:-\:\:\:}}}} \\ \\\)

\(\:\:\:\:\bullet\:\:\:\sf{Angle \ of \ projection = 30^{\circ} }\)

\(\:\:\:\:\bullet\:\:\:\sf{Initial \ velocity \ of \ projectile = 28 \: m/s^{-1} }\)

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\({\mathfrak{\underline{\purple{\:\:\:To \:Find:-\:\:\:}}}} \\ \\\)

\(\:\:\:\:\bullet\:\:\:\sf{Height_{\:(max)}\: reached\: by \:the \:projectile }\)

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\({\mathfrak{\underline{\purple{\:\:\: Calculation:-\:\:\:}}}} \\ \\\)

☯ As we know that,

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\(\dashrightarrow\:\: \sf{ H = \dfrac{u^2\;sin^2\theta}{2\;g} }\)

\(\\\)

\(\dashrightarrow\:\: \sf{H = \dfrac{(28)^2\;sin^2 30^{\circ}}{2\;(9.8)} }\)

\(\\\)

\(\dashrightarrow\:\: \sf{H = \dfrac{784 \times \;sin^230^{\circ}}{19.6} }\)

\(\\\)

\(\dashrightarrow\:\: \sf{ H = \dfrac{784}{19.6}\times sin^2 30^{\circ}}\)

\(\\\)

\(\dashrightarrow\:\: \sf{ H = \dfrac{784}{19.6}\times \bigg(\dfrac{1}{2}\bigg)^2 }\)

\(\\\)

\(\dashrightarrow\:\: \sf{ H = \dfrac{784}{19.6}\times \dfrac{1}{4} }\)

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\(\dashrightarrow\:\: {\boxed{\sf{H=10\:m }}}\)

The object is on 81 cm high.

The energy that an item has or acquires when its location changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.

Given that: an 80kg object has 632 J of Potential energy.

Let the height is h: then,

mgh = PE

80 kg × 9.8× m/s^2 × h = 632 Joule

h = 0.81 m = 81 cm.

The object is on 81 cm high.

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The circuit consists of a series of number of pairs of parallel and series

arranged resistors.

Correct responses:

The total resistance can be calculated as follows;

Resistance between point C to D and from D to E are in series, therefore;

We have;

\(R_{CD}\) = 5 Ω and \(R_{DE}\) = 9 Ω are parallel

Therefore;

\(R_{TCE} = \mathbf{ \dfrac{1}{\dfrac{1}{R_{CE}} + \dfrac{1}{R_{CD} +R_{DE}} }}\)

\(R_{TCE} = \dfrac{1}{\dfrac{1}{14} + \dfrac{1}{5+9} } = 7\)

\(R_{TCE}\) = 7 Ω

\(R_{BC}\) = 11 Ω is in series with \(R_{CE}\) both of which are parallel to \(R_{BE}\) = 18 Ω

\(R_{TBE} = \mathbf{\dfrac{1}{\dfrac{1}{R_{BE}} + \dfrac{1}{R_{BC} + R_{TCE}} }}\)

Therefore;

\(R_{TBE} = \mathbf{\dfrac{1}{\dfrac{1}{18} + \dfrac{1}{11 + 7} }} = 9\)

\(R_{TBE}\) = 9 Ω

\(R_{TAE} = \mathbf{\dfrac{1}{\dfrac{1}{R_{AE}} + \dfrac{1}{R_{AB} + R_{TBE}} }}\)

Therefore;

\(R_{TAE} = \dfrac{1}{\dfrac{1}{22} + \dfrac{1}{13 + 9} } = 11\)

\(R_{TAE}\) = 11 Ω

\(R_T = \mathbf{R_{TAE} + R_{A_F}}\)

Therefore;

The current in the circuit, I, is therefore;

\(\displaystyle I = \frac{24 \ v}{12 \ \Omega} = \mathbf{2 \ A}\)

By current divider rule, due to the equality of the parallel resistances we have;

Current through AB, \(I_{AB}\) = \(\frac{1}{2} \times 2 \ A\) = 1 A

Similarly;

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The kinetic energy of a body determines it's level of impact on the object in which it comes in contact with. Hence, the much larger kinetic energy exhibited by a wrecking ball compared to a yo-yo means that is has a much larger impact on a building than a yo-yo.

The kinetic energy of a body is a factor of it's velocity and mass as they are directly proportional.

The wrecking ball has a very large mass which is thousands of times larger than that of a yo-yo. Also, the velocity at which a wrecking ball is launched is higher than the velocity of a yo-yo.

This means that the kinetic energy of a wrecking ball is much higher than that of yo-yo. Hence, having much greater impact on a building compared to a yo-yo.

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The total distance of Bella's trip through the jungle is 24 kilometers.

To find the total distance of Bella's trip, we need to calculate the distance traveled during each leg of her journey and then sum them up.

Let's calculate the distance traveled in each segment:

Trekking in the thick jungle:

Bella trekked for 1 hour at an average speed of 6 km/h.

Distance = Speed × Time

Distance = 6 km/h × 1 hour

Distance = 6 km

Crossing the lake by boat:

Bella rode a boat at an average speed of 20 km/h for 0.5 hours.

Distance = Speed × Time

Distance = 20 km/h × 0.5 hour

Distance = 10 km

Hiking for the remaining part:

Bella hiked for 2 hours at an average speed of 4 km/h.

Distance = Speed × Time

Distance = 4 km/h × 2 hours

Distance = 8 km

Now, let's calculate the total distance:

Total distance = Distance of trekking + Distance of crossing the lake + Distance of hiking

Total distance = 6 km + 10 km + 8 km

Total distance = 24 km

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Weight is best defined as C) the force of gravity on an object.

The tangential acceleration of the short player's ball is twice the tangential acceleration of the tall player's ball.

The ball of the shorter player experiences twofold of the ball of the taller player's tangential acceleration. The reason behind this is that the magnitude of the tangential acceleration correlates directly with the radius of the circle.

The ball belonging to the smaller player is positioned nearer to the elbow, resulting in a decreased radius. It can be deduced from this statement that the ball of the short player experiences twice the magnitude of tangential acceleration compared to the ball of the tall player.

The answer is: ashort = 2atall

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The Complete Question

A short tennis player hits a ball that is r meters from their elbow with an angular acceleration a. A tall tennis player hits a ball with the same angular acceleration where the ball is 2r from their elbow. How does the tangential acceleration of the short player's ball Ashort compare with the tall player's ball a tall? Choose 1 answer: ashort 2atall ashort Otall ashort 1 atall 2

The mass of a substance is not directly related to latent heat. Instead, latent heat is a parameter that describes the amount of energy required or released during a phase shift of a substance.

Latent heat can be thought of as hidden energy that is supplied or extracted to change the state of a substance without changing its temperature or pressure.

Latent heat is energy released or absorbed, by a body or a thermodynamic system, during a constant-temperature process—typically a first-order phase transition.

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The dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.

Start by converting the rotational speed from rpm (revolutions per minute) to rad/s (radians per second). Since 1 revolution is equal to 2π radians, we can use the conversion factor:

Angular speed (ω) = (1100 rpm) × (2π rad/1 min) × (1 min/60 s)

ω ≈ 115.28 rad/s

The moment of inertia (I) is given as 2.0 × 10^-7 kg⋅m².

Use the formula for rotational kinetic energy:

Rotational Kinetic Energy (KE_rot) = (1/2) I ω²

Substituting the given values:

KE_rot = (1/2) × (2.0 × 10^-7 kg⋅m²) × (115.28 rad/s)²

Calculate the value inside the parentheses:

KE_rot ≈ (1/2) × (2.0 × 10^-7 kg⋅m²) × (13274.28 rad²/s²)

KE_rot ≈ 1.331 × 10^-3 J

Round the result to the proper number of significant figures, which in this case is three, as indicated by the given moment of inertia.

KE_rot ≈ 4.8 × 10^-4 J

Therefore, the dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.

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The pitch of a sound can be determined in sounds that have a distinguished frequency. Therefore, it depends on the frequency.

Answer:

The pitch of a sound is most closely associated with the frequency of the wave

Answer:

The expression for destructive interference in thin films allows to find the result for the smallest thickness of the films is:

         t = 2.03 10⁻⁸ mm

Explanation:

Given parameters

Incident wavelength lamo = 535 nm

Refractive index of the film n = 1.32

To find

The minimum thickness for destructive interference

The interference phenomenon occurs when the path of two rays scattered by an obstacle have different optical paths. In the case of thin films we must take into account:

The reflected wave has a phase change of 180º when it goes from a medium with a lower refractive index to a medium with a higher index.

Inside the film medium the wavelength is modulated by the refractive index.

In the attachment we see an outline of these events and the expression for destructive interference remains.

               2 n t = m λ₀

Where n is the refractive index, t the thickness of the film, λ₀ the wavelength in the vacuum and m an integer indicating the order of interference.  

             t =  

The first destructive interference occurs for m = 1, let's calculate.

       t =    

       t = 202.65 nm

Let's reduce this amount to millimeters.

        t = 202.65 nm  

        t = 2,027 10⁻⁸ mm

In conclusion, using the expression for destructive interference in thin films we can find the result for the smallest thickness of the films is:

         t = 2.03 10⁻⁸ mm

The magnitude of the displacement is 1,097.7 mi, and the angle is 89.9°

To find the displacement from Dallas to Chicago, we can break down the vectors representing the distances and directions into their x and y components. Since the Earth is modeled as flat, we can use basic trigonometry to calculate the components.

Let's start by considering the vector from Dallas to Atlanta. The magnitude of this vector is given as 730 miles, and the direction is 5.00° north of east. To calculate the x and y components, we can use the following equations:

Substituting the values:

x = 730 * cos(5.00°)

y = 730 * sin(5.00°)

Similarly, for the vector from Atlanta to Chicago, with a magnitude of 560 miles and a direction 21.0° west of north:

x = magnitude_AC * sin(angle_AC)

y = magnitude_AC * cos(angle_AC)

Substituting the values:

x = 560 * sin(21.0°)

y = 560 * cos(21.0°)

To find the displacement from Dallas to Chicago, we can sum the x and y components:

Now, we can calculate the magnitude and direction of the displacement using these x and y components:

magnitude_displacement = √(x_displacement² + y_displacement²)

angle_displacement = atan(y_displacement / x_displacement)

Finally, we can substitute the calculated values and solve for the magnitude and direction:

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The force of gravity changes as the mass of one object doubles. As the mass of one object is doubled then the force between the objects also gets doubled.

Force is an influence which can change the motion of an object through the application of an external force. A force can cause an object with the mass to change its velocity, that is the object undergo acceleration.

Force is directly proportional to the mass of the object and the acceleration of the object. If we double the mass of one of the objects, then we double the strength of the force. If we double the masses of both the objects, then we quadruple the strength of force.

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The way in which one atom interacts with another atom is mostly influenced by the configuration of the electrons farthest from the nucleus.

Option A.

An atom can be defined as the smallest part of a substance that cannot be broken down chemically. Each atom has a nucleus (center) made up of protons (positive particles) and neutrons (particles with no charge).

The arrangement of electrons in orbitals and shells around the nucleus is referred to as the electronic configuration of the atom.

Thus, we can conclude that the way in which one atom interacts with another atom is mostly influenced by the configuration of the electrons farthest from the nucleus.

The remaining options do not fit the empty space properly, and they include;

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Answer:

c because first is totally wrong and second one is about two football fields and d is also totally wrong because it is a partnership of at least 10 countrie so.i think č is correct answer.

The work done​  to the horizontal direction of displacements the body is 3200 joule.

A force must be applied and there must be movement in the force's direction for a work to be completed scientifically.

With that said, we may state that Work is the product of the force's component acting in the displacement's direction and its magnitude.

Applied force = 400 N

Displacement in the direction of force = 8 m

Hence, work done = 400 ×  Joule = 3200 joule.

Therefore, the work done​  to the horizontal direction of displacements the body is 3200 joule.

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The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.

When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.

For example, if the answer is 12.345, we would round it to 12.3.

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Answer:

V=u+at

=4+4*2.5

=14m/s

Explanation:

Initial velocity =4m/s

acceleration =4m/(second) squared

time =2.5 seconds

v=u+at

v=4+4*2.5

v=14m/s

Speed is the time rate of an object moving from one place to another, while velocity is the rate and direction of the object's movement. They are very similar but they don't mean the same thing.

The displacement of the object after 1 second, is 3 m.

The displacement of the object after 3 seconds, is 9 m.

The displacement of the object after 5 seconds, is 15 m.

The displacement of an object is the change in the position of the object.

The displacement of the object after 1 second, x = 3 m/s x 1 second = 3 m

The displacement of the object after 1 second, x = 3 m/s x 3 s = 9 m

The displacement of the object after 1 second, x = 3 m/s x 5 s = 15 m

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Following are the answer:

Potential energy is the energy possessed by an object due to its position or configuration relative to other objects. It is the energy that an object has stored in it as a result of its position or state. An object's potential energy is often associated with its ability to do work, which can be released when the object is allowed to move or change its position.

(a) The potential energy stored in a spring stretched by a distance x from its equilibrium position can be calculated using the formula:

\(U = (1/2) k x^2\)

where k is the spring constant.

Substituting the given values, we get:

\(U = (1/2) (440.0 N/m) (0.0415 m)^2U = 0.0424 J\)

Therefore, the potential energy stored in the spring when it is stretched 4.15 cm from equilibrium is 0.0424 J.

(b) Using the same formula as in part (a), but with x = 0.0296 m, we get:

\(U = (1/2) (440.0 N/m) (0.0296 m)^2U = 0.0207 J\)

Therefore, the potential energy stored in the spring when it is stretched 2.96 cm from equilibrium is 0.0207 J.

(c) When the spring is unstretched, its potential energy is zero, since there is no displacement from equilibrium. So the potential energy stored in the spring is zero.

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