This type of soil is found in warm, humid climates. question 5 options: pedocal laterite pedalfer humus

The time period of the simple pendulum is 2.4 seconds.

Given the data in the question;

Period is the time needed for a complete cycle of vibration to pass a given point.

Period of a pendulum is the of time needed for it to complete one full back-and-forth motion. It is the time required to for the pendulum to swing from leftmost point to rightmost point and back to leftmost point.

Now, if it took the pendulum \(1.2s\) to swing from leftmost point to rightmost point, it will also take the pendulum \(1.2s\) to swing back to its original position( leftmost point )

Hence,

\(T\) = time taken to swing from leftmost to rightmost + time taken to swing from rightmost point to leftmost point.

\(T = 1.2s + 1.2s\\\\T = 2.4s\)

Therefore, the time period of the simple pendulum is 2.4 seconds.

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We return to a circuit that you partly examined in the pre-lab for electricity IV. When the switch is closed, the flow from the battery increases.

The half of the increased flow from the battery goes through bulb A and the other half goes through bulb C.

The brightness of both bulbs A and C increase when the switch is closed.

1. When the switch is closed, the flow from the battery increases because the switch provides an additional pathway for the current to flow through. This pathway has a lower resistance compared to the original pathway that included bulb A, so more current can flow through the circuit overall. This is known as Kirchhoff's junction rule, which states that the total current entering a junction must equal the total current leaving the junction.

2. We know that the flow splits in half because the bulbs are identical, so they have the same resistance. According to Ohm's law, the current through each bulb is proportional to the voltage across it, and since the voltage across the bulbs is the same, the current through each bulb must be equal. Therefore, half of the increased flow from the battery goes through bulb A and the other half goes through bulb C.

3. Table 6

Obstacle presented (L)

L

L

Flow from battery (in terms of L)

1

2

Pressure Difference (product)

L

2L

Flow caused by the battery through bulb A (in terms of L)

0

L/2

Flow caused by the battery through bulb C (in terms of L)

0

L/2

4. When the switch closes, the pressure difference (product) increases from L to 2L, which causes the flow from the battery to increase from 1L to 2L. Half of this increased flow, or L, goes through bulb A, which causes its brightness to increase. The other half of the increased flow also goes through bulb C, which also causes its brightness to increase. Therefore, the brightness of both bulbs A and C increase when the switch is closed.

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Answer:

F= 1800N

Explanation:

the equation for force is F= ma

so plug in the numbers: F= (120)(15)

solve this to get F= 1800N

tip: don't forget to add the units when writing your answer :)

Answer:

Fgrav. = GM1×M2/R2

Explanation:

Gravitational force is mostly related

to planetary bodies by Newton's law of gravitation which states that the gravitional force is proportional to the product of the mass of the object and inversely proportional to the square of the distance between them.

Hence in this case the Gravitational force,

Fgrav. = GM1×M2/R2

M1 and M2 are the mass of the two students and R is their distance apart

G is a constant known as gravitational constant.6.67408 × 10-11 m3/kgs2

The tension in the rope connecting masses is 47N.

Mass 1 is only being pulled to one side by the pull caused by the tension in the rope. Because of the rope and lack of friction, the acceleration is the same, and the tension T is therefore given by T=m₁F/(m₁+m₂).

Any two physical objects in contact have the ability to exert forces on one another. Based on the kinds of objects in touch, we give these contact forces various names. When a rope, string, chain, or cable is one of the things applying the force, the force is referred to as tension.

Given,

m₁ = 6.50 kg, m₂ = 3.80 kg,

m₃ = 10.70 kg, and m₄ = 4.20 kg

The tension in the rope(T) = 2g(m₁)(m₂)/(m₂+m₁)

The tension in the rope(T) =2×9.8×6.50×3.80/3.8+6.5

The tension in the rope(T) = 484.12/10.3

The tension in the rope(T) = 47N.

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Where a tap supplies water at 26°c while another supply at 82°c. If a man wishes to bath with water at 40°c, then the ratio of the mass of hot water to that of cold water is: 1/3.

The ratio of the mass of hot water to that of Cold water is determined as follows:

M₁C (82  40) = M₂C (40-26)

Where M₁C is the Mass of Tap 1; and

M₂C is the Mass of Tap 2.

Thus,

M₁C (82  40) = M₂C (40-26)

M₁/M₂ = 14/42

= 1/3

Thus, it is right to state that the ratio of the mass of hot water to that of cold water is: 1/3.

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The wavelength of the infrared carrier wave transmitted by a television remote control at 36 500 Hz is 8.21 x 10³ m

The speed of the light = 3 x 10⁸ m/s

The frequency of the remote control = 36,500 Hz

The wavelength of the infrared carrier can be found using the formula,

                          λ = c/ν

where λ is the wavelength of the infrared carrier

          c is the speed of the light

          ν is the frequency of the infrared carrier

Substituting the known values in the above equation,

                  λ = 3 x 10⁸ / 36,500

                     = 0.0000821 x 10⁸

                     = 8.21 x 10³ m

Thus, the wavelength of the infrared carrier is  8.21 x 10³ m

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Answer:

a.) 10Hz

b.) 0.1 s

c.) 187.4 m/s

d.) -412.6 m/s^2

Explanation:

Given that an object is moving back and forth on the x-axis according to the equation x(t) = 3sin(20πt), t> 0, where x(t) is measured in cm and t in seconds. Give decimal answers below.

(a) How many complete back-and-forth motions (from the origin to the right, back to the origin, to the left and finally back to the origin) does the object make in one second?

from the equation given,  the angular speed w = 20π

but w = 2πf

where f = frequency.

substitute w for 20π

20π = 2πf

f = 20π/2π

f = 10 Hz

(b) What is t the first time that the object is at its farthest right?

since F = 1/T

T = 1 / f

T = 1/10

T = 0.1 s

Therefore, the t of  first time that the object is at its farthest right is 0.1 s

(c) At the time found in part (b), what is the object's velocity?

The velocity can be found by differentiating the equation;

x(t) = 3sin(20πt)

dx/dt = 60πcos(20πt)

where dx/dt  = velocity V

V = 60πcos(20π * 0.1)

V = 187.4 m/s

(d) At the time found in part (b), what is the object's acceleration?

to get the acceleration, differentiate equation  V = 60πcos(20πt)

dv/dt = -1200πSin(20πt)

dv/dt = acceleration a

a = -1200πSin(20πt)

substitute t into the equation

a = -1200πSin(20π * 0.1)

a = - 412.6 m/s^2

The type of motion the object undergoes that consist of a back-and-forth

movement that is repetitive is a simple harmonic motion.

The correct responses are;

Reasons:

The equation that represents the motion of the object is x(t) = 3·sin(20·π·t)

Where;

t ≥ 0

x(t) is in cm, and t is in seconds.

(a) The general sine function is y = A·sin(B·(t - C) + D

\(\mathrm{The \ period \ P} = \dfrac{2 \cdot \pi}{B}\)

By comparison, we have;

B = 20·π

Therefore;

\(P = \dfrac{2 \cdot \pi}{20 \cdot \pi} = \dfrac{1}{10} = 0.1\)

The period, which is the time to complete one cycle = 0.1 seconds

The number of cycle completed per second, is the frequency, f

\(f = \dfrac{1}{P} = \dfrac{1}{0.1} = 10\)

f = 10 Hz = 10 cycles

The number of cycle completed per second is f = 10 cycles

(b) When the object is at the farthest right, we have;

sin(20·π·t) = Maximum = 1

\(\mathbf{sin\left(\dfrac{\pi}{2}\right)} = 1\)

Therefore,

\(20 \cdot \pi \cdot t = \dfrac{\pi}{2}\)

\(t = \dfrac{\pi}{20 \cdot \pi \cdot 2} = \dfrac{1}{40} = 0.025\)

The first time it is at the farthest right is t = 0.025 seconds after start

(c) \(\mathrm{Velocity, \ v, \ is \ given \ by \ v = \dfrac{dx(t)}{dt}}\)

Therefore;

\(v = \dfrac{dx(t)}{dt} = \dfrac{dx(t)}{dt} \left(3 \cdot sin \left(20 \cdot \pi \cdot t \right) = 60\cdot \pi \cdot cos \left(20 \cdot \pi \cdot t \right)\)

At t = 0.25 seconds, we have;

\(v = \dfrac{dx(t)}{dt} = 60\cdot \pi \cdot cos \left(20 \times \pi \times 0.025 \right) = 0\)

The velocity of the object at the t = 0.025 seconds is v(t) = 0

(d) Acceleration, a, is given by \(a = \dfrac{dv(t)}{dt}\)

Therefore;

\(a = \dfrac{dv(t)}{dt} = \dfrac{d}{dt} \left( 60\cdot \pi \cdot cos \left(20 \times \pi \times t\right) \right) =-1200 \cdot \pi ^2 \cdot sin(20 \cdot t \cdot \pi)\)

a = -1200·π²·sin(20·t·π)

∴ a = -1200×π²×sin(20×0.025×π)

sin(20×0.025×π) = 1

∴ a = -1200×π²×1 ≈ -11843.53

At the time found in part b the acceleration of the object, a ≈ -11843.53 m/s²

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Explanation:

The sun gravity keeps the solar system i.e planets in its place and orbits if there is no sun the planets would flying off and  It would be complete and utter chaos in our solar system

Answer:Climatic processes affect the dynamics of Earth's ice sheets and glaciers, and along ... by abrupt events and by continuous reshaping of Earth's surface from surface ... Forecasting natural disasters, including the timing and size of earthquakes, the . Last, human activity has a profound impact on water resources, landscape

Explanation:

step by step

Answer:

Option C is the correct option.

Explanation:

Given,

Force = 600 N

Distance = 5 meters

Work = ?

Now,

Work = Force \( \times \) distance

\( = 600 \times 5\)

Calculate the product

\( = 3000 \: \) Joule

Hope this helps...

Good luck on your assignment..

The angle between the initial velocities is 60 degrees. an inelastic collision, kinetic energy is not conserved, but momentum is. Let's assume that the two objects are moving in the x-y plane. Let their initial velocities be v1 and v2, with an angle θ between them. After the collision, the two objects move together with a speed of v/2, where v = v1 + v2 is the initial speed.

Using the law of conservation of momentum, we can write:

m*v1 + m*v2 = 2*m*(v/2)

where m is the mass of each object. Simplifying this expression, we get:

v1 + v2 = v

Substituting v/2 for v in the above expression, we get:

v1 + v2 = 2*(v/2) = v/2

We can then solve for v1 and v2 in terms of v and θ:

v1 = v*cos(θ/2)

v2 = v*sin(θ/2)

Substituting these expressions into the equation v1 + v2 = v/2, we get:

v*cos(θ/2) + v*sin(θ/2) = v/2

Dividing both sides by v/2 and simplifying, we get:

tan(θ/2) = 1/3

Solving for θ, we get:

θ = 2*arctan(1/3) = 60 degrees

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Answer:

   q = 224 mm,   h ’= - 98 mm, real imagen

Explanation:

For this exercise let's use the constructor equation

        \(\frac{1}{f} = \frac{1}{p} + \frac{1}{q}\)

where f is the focal length, p and q are the distance to the object and the image respectively.

In a mirror the focal length is

        f = R / 2

indicate us radius of curvature is equal to the diameter of the eye

       R = 3,50  10² mm

       f = 3.50 10² /2 = 1.75 10² mm

they also say that the distance to the object is p = 0.800 10³ mm

        1 / q = 1 / f - 1 / p

        1 / q = 1 / 175 - 1 /800

        1 / q = 0.004464

         q = 224 mm

to calculate the size let's use the magnification ratio

          m = \(\frac{h'}{h} = - \frac{q}{p}\)

          h '= \(- \frac{q}{p} \ h\)

          h ’= - 224 350 / 800

          h ’= - 98 mm

in concave mirrors the image is real.

The efficiency of this light bulb is 25% .

Given data :

output = 30j

Input = 120j

Efficiency  = output / input x 100

  = 30 / 120 x 100

  = 25%

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It has been demonstrated that modified sports, in which the equipment and rules are altered to improve skill performance, foster skill learning and may even boost participation.

The sport is replicated in a modified game, although some of the regulations are altered. Limited touches or time with the ball, a smaller field or court, different-sized balls or goals, or the obligation to defend repeatedly are some examples of modified rules. Like any other sport you may have played, such as basketball or football, modified sports feature regulations that have been modified to take into account the talents and abilities of older or less mobile participants. Depending on the skills of the participants who want to participate, modified sports can be altered.

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(10 tiles/sec) · (30 cm/tile)  =  300 cm/sec

That's  3000 mm/sec

That's  3 x 10³  mm/sec

To find the expression for the work W done on the particle by the external forces during the particle's motion in terms of mass and the initial and final velocities,

1. Substitute for F from Part B: Recall that from Part B, we have F = ma,

where F is the force, m is the mass, and a is the acceleration.

2. Substitute for a from the relation in Part A: From Part A, we have the relation a = ( v*f - vi) / t,

where vf is the final velocity, vi is the initial velocity, and t is the time.

3. Now, substitute the expression for a from step 2 into the equation for F from step 1: F = m * (v f - v i) / t

4. Next, find the expression for work, W: Recall that W = F * d,

where W is the work done, F is the force, and d is the distance.

5. Substitute the expression for F from step 3 into the equation for W from step 4: W = (m * (v*f - vi) / t) * d

6. Finally, to express W in terms of mass, initial and final velocities, we can use the relation d = (vi + v*f) / 2 * t. Substituting this relation for d in the equation from step 5, we get:

W = (m * (vf - vi) / t) * ((vi + vf) / 2 * t)

7. Simplify the expression by canceling out the t terms: W = (1/2) * m * (vf^2 - vi^2)

So, the expression for the work W done on the particle by the external forces during the particle's motion in terms of mass and the initial and final velocities is:  W = (1/2) * m * (vf^2 - vi^2)

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Answer:

A. Astanding wave is generated

Explanation:

Standing waves arise from the interference of traveling and reflected waves, which have the same wavelength at the point of reflection, but mutually opposite directions of propagation.

Explanation:

Yes , Both liquid water and steam exist at 100°C

Hope it will help you

Answer:

Answer in Explanation

Explanation:

Whenever we talk about the gravitational potential energy, it means the energy stored in a body due to its position in the gravitational field. Now, we know that in the gravitational field the work is only done when the body moves vertically. If the body moves horizontally on the same surface in the Earth's Gravitational Field, then the work done on the body is considered to be zero. Hence, the work done or the energy stored in the object while in the gravitational field is only possible if it moves vertically. This vertical distance is referred to as height. This is the main reason why we require height in the P.E formula and calculations.

The derivation of this formula is as follows:

Work = Force * Displacement

For gravitational potential energy:

Work = P.E

Force = Weight = mg

Displacement = Vertical Displacement = Height = h

Therefore,

P.E = mgh

Answer:

Weight on Earth = We = 186.2 N

Weight on Mars = Wm = 70.94 N

Explanation:

The weight of an object is defined as the force applied on the object by the gravitational field. The magnitude of weight is given by the following formula:

W = mg

were,

W= Weight of Eric

m = mass of Eric

g = acceleration due to gravity

ON EARTH:

W = We = Eric's Weight on Earth = ?

m = Eric's Mass on Earth = 19 kg

ge = acceleration due to gravity on Earth = 9.8 m/s²

Therefore,

We = (19 kg)(9.8 m/s²)

We = 186.2 N

ON MARS:

W = Wm = Eric's Weight on Mars = ?

m = Eric's Mass on Mars = 19 kg

gm = acceleration due to gravity on Mars = 0.381(ge) = (0.381)9.8 m/s² = 3.733 m/s²

Therefore,

Wm = (19 kg)(3.733 m/s²)

Wm = 70.94 N

The phrase "like dissolves like" can be described as the compounds which have similar nature dissolve in each other that is polar dissolves polar and non-polar dissolves non-polar molecules.

Polarity is the separation of electric charge which is leading to a molecule or the chemical groups which are having an electric dipole moment, with a negatively charged end and a positively charged end as well. Polar molecules are the molecules which must contain one or more polar bonds which occur due to a difference in the electronegativities between the bonded atoms of the molecule.

A simple way to predict the compounds which will dissolve in other compounds is the phrase of the compound such as "like dissolves like". This means that the polar compounds dissolve in polar compounds, and the nonpolar compounds dissolve in nonpolar compounds, however, the polar and nonpolar molecules do not dissolve in each other.

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The total work done by the force of friction on the block as it moves a distance L up the incline is given by the formula:

Wfric = −f × L

The work done by the force of friction on the block as it moves a distance L up the incline is equal to the product of the force of friction and the distance moved. Work is the measure of the amount of energy transferred by a force when an object is moved a certain distance. If a force acts on an object and the object moves, work is done by the force. Therefore, work can be defined as the product of force and displacement.

Mathematically, it can be expressed as follows:

W = F × S

where W is work, F is force, and S is displacement. The SI unit of work is joules (J). When a block moves on an inclined plane, friction is one of the forces acting on the block. As the block moves up the plane, the force of friction acts opposite to the direction of motion of the block. Hence, the work done by the force of friction is negative. This means that the force of friction acts to decrease the energy of the block.

The work done by the force of friction on the block as it moves a distance L up the incline is given by the formula:

Wfric = −f × L

where Wfric is the work done by the force of friction, f is the force of friction, and L is the distance moved by the block up the incline. Therefore, the total work done by the force of friction on the block as it moves a distance L up the incline is given by the formula:

Wfric = −f × L

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According to the given figure(See Picture),  some external source, such as a turbine, windmill, or water wheel, supplies the initial mechanical energy for a simple generator.

A type of energy known as mechanical energy is related to an object's location and motion. It is the total of an object's kinetic energy and potential energy. The energy that an object has as a result of its motion is known as kinetic energy, whereas the energy it has as a result of its location or other state is known as potential energy. Several natural and industrial systems, including engines, turbines, and machines, depend heavily on mechanical energy. A fundamental tenet of physics, the conservation of mechanical energy is frequently applied to understand and forecast the behaviour of physical systems. Ultimately, the study and comprehension of the physical world around us depend heavily on the concept of mechanical energy.

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What provides the original mechanical energy for the simple generator in the figure(See Picture)?

Answer:

Stronger and harder than either of the pure metals

Explanation:

A brass rod is encased in aluminium. The speed of a sound wave decreases when it moves from the aluminium into the brass. Thus, the correct option is B.

The speed of sound is the speed with which sound travels in a medium. It depends on the density and the elasticity of the medium through which the sound waves travel. In general, sound wave travels faster in the liquid mediums than in gas medium and these are quicker in solids than in liquid mediums. The greater the elasticity and the lower the density of the waves, the faster the sound waves travel in a medium.

The speed of sound in aluminium is 5100m/s and in brass it is 6,923. So, if the sound wave is moving from aluminum to the brass medium, we can clearly observe that the speed of sound is decreasing. So, we can say here that it decreases.

Therefore, the correct option is B.

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With the projectile launch we can find that the response for the initial velocity of the salmon is  3.68 m/s

Projectile launching is an application of kinematics for movement in two dimensions.  In this case they indicate the jump distance x = 2.61 m and the jump height y = 0.277 m and the angle of 39.3º and ask the initial velocity.

Let's use trigonometry for the initial velocity.

              cos 39.3 = \(\frac{v_x}{v}\)

              sin 39.3 = \(\frac{v_y}{v}\)

              vₓ = v cos 39.3

              = v sin 39.3

Suppose that when you reach the height of the waterfall you are in the highest part of the jump, therefore the vertical velocity is zero.

                \(v_y^2 = v_{oy}^2 -2 g y\)

                 0 = - 2 g y

                 \(v_{oy}\) = \(\sqrt{2gy}\)

Let's calculate

                 \(v_{oy} = \sqrt{2 \ 9.8 \ 0.277}\)

                  = 2.33 m / s

The relationship of the initial velocity and the angle.

                    = v sin 39.3

                   v = \(\frac{ v_{oy}}{son 39.3}\)

                   v = 2.33 / sin 39.3

                   v = 3.68 m / s

In conclusion using projectile launch we can find the initial velocity of the salmon is 3.68 m / s.

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