To study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam.
Part (a) Enter a vector expression for the resulting torque, in terms of the unit vectors i, j, k and the components of F and r.
Part (b) Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 2.19m, ry = 0.025 m, rz = 0.035 m, Fx = -7.8 N, Fy = 1.2 N, Fz = 2.2 N.
Part (c) If the moment of inertia of the beam with respect to the pivot is I = 494 kg˙m2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.

The Earth has four main interconnected systems: the atmosphere, the hydrosphere, the lithosphere, and the biosphere.

The model shows how all four systems interact with each other and influence each other. The atmosphere is responsible for controlling the climate and transferring energy through air currents and radiation. The hydrosphere includes all water on Earth, both frozen and liquid, and it is responsible for transporting water and energy. The lithosphere is made up of rocks, soil, and minerals, and it helps regulate and moderate the Earth's temperature. Finally, the biosphere is made up of all living things, and it influences and is influenced by all of the other systems.

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With the use of wave speed and echo formula, the distance is 540 m

Echo can simply be defined as a reflection of sound wave. Where as, Sound wave is longitudinal wave.

Given that a naval navigator is using sonar to look for sunken cargo. The waves he is using have a frequency of 120 kHz and a wavelength of 3 mm.

The wave speed V = Fλ

Where

V = 120000 × 0.003

V = 360 m/s

How far away is the cargo if the sound wave is emitted at exactly 9:24 a.m. and returns to hit the ship's sensor 3 seconds later?

Speed V = 2S/t

where

360 = (2 × S)/3

360 × 3 = 2S

S = 1080/2

S = 540 m

Therefore, the cargo is 540 m away

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Answer:

LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right bcs i got it lol, yw btw! hahaha! good luck also, subscribe to my channel!

Explanation:

Answer:

true

Explanation:

this is true, igneous rocks are formed from molten lava when it cools

Answer: True

Explanation:

The rate of water supply (in \(cm^3/hr\)) is equal to the Q × 3600 cm³/hr.

Given data:

Cross-sectional area of the tube = 100 mm × 100 mm

Water head difference (Δh) = 300 mm

Hydraulic conductivity of the three soils = K₁, K₂, K₃

Let's assume that the length of the soil sample is "L" mm. To find the rate of water supply, we need to calculate the discharge through the soil sample.

So, the formula to calculate the discharge (Q) is given by:

Q = (A × Δh × K) / L

Where, A = Cross-sectional area of the tube

Δh = Water head difference across the soil sample

K = Hydraulic conductivity of the soil

L = Length of the soil sample

Substituting the values in the above formula, we get,

\(Q = (100 mm * 100 mm * 300 mm * (K_1 + K_2 + K_3)) / L\)

So, the rate of water supply = Q × 3600 cm³/hr (1 hour = 3600 seconds)

Therefore, the required rate of water supply is given by, \(Q = (100 mm * 100 mm * 300 mm * (K_1 + K_2 + K_3)) / L\) cm³/sec

Now, let's understand the answer step by step. The given cross-sectional area of the tube is 100 mm × 100 mm.

Hence, the area of the tube is A = 100 mm × 100 mm = 10,000 mm²

The water head difference across the soil sample is given as 300 mm.Δh = 300 mm

Let's consider that the length of the soil sample is "L" mm. L = L mm The hydraulic conductivity of the three soils is given by K₁, K₂, and K₃.K₁, K₂, and K₃ are given in terms of the direction of flow through them.

The formula to calculate the discharge (Q) is given by: \(Q = (A * \Delta h * K) / L\)

Now, we can substitute the given values in the above formula. \(Q = (100 mm * 100 mm * 300 mm * (K_1 + K_2 + K_3)) / L\)

This gives us the value of the discharge through the soil sample. Now, we need to calculate the rate of water supply, which is given by Q × 3600 cm³/hr.

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The speed of wave with a wavelength of 4 m and a frequency of 85 Hz is 340m/s

The speed of a wave is the product of the frequency of the wave and its wavelength. Mathematically, it is expressed as:

\(v = f \lambda\) where:

f is the frequency

\(\lambda\) is the wavelength

Given the following:

f =85Hz

\(\lambda\) = 4 m

Substitute the given parameter into the formula:

v = 85 × 4

v = 340m/s

Hence the speed of wave with a wavelength of 4 m and a frequency of 85 Hz is 340m/s

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Explanation:

The change in an object's momentum is equal to the final momentum minus the initial momentum.

The momentum of an object is given by the product of its mass and velocity:

Initial momentum = mass * initial velocity

Final momentum = mass * final velocity

Given:

Mass of the tennis ball = 5.69x10^-2 kg

Initial velocity = 13 m/s

Final velocity = -18 m/s (opposite direction)

Let's calculate the initial momentum and final momentum:

Initial momentum = (5.69x10^-2 kg) * (13 m/s)

Final momentum = (5.69x10^-2 kg) * (-18 m/s)

Now, let's calculate the change in momentum:

Change in momentum = Final momentum - Initial momentum

Plugging in the values:

Change in momentum = [(5.69x10^-2 kg) * (-18 m/s)] - [(5.69x10^-2 kg) * (13 m/s)]

Performing the calculation will give you the change in the ball's momentum.

Hope I helped

The pressure of 76 cm of mercury column is 10132.5 Pa.

Pressure, in the physical sciences, the perpendicular force per unit area, or the stress at a point within a confined fluid.

The pressure of 76 cm of mercury column can be converted to Pascals (Pa) using the following conversion factor:

1 atm = 101325 Pa

760 mmHg = 1 atm

Therefore,

76 cm Hg = (76/760) atm = 0.1 atm

Now, we can convert this pressure in atm to Pascals using the following conversion factor:

1 atm = 101325 Pa

Therefore,

0.1 atm = 0.1 * 101325 Pa = 10132.5 Pa

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--The complete question is, Pressure of 76cm of mercury column is ______ pa.--

E. Increase the linear mass density by a factor of 4 would double the wavelength of the fundamental resonant mode on the string.

To double the wavelength of the fundamental resonant mode on the string, we need to increase the length of the string or decrease the tension on the string or increase the linear mass density of the string. Option A states that none of the given options would double the wavelength of the fundamental mode, which is incorrect. Option B suggests decreasing the linear mass density by a factor of 2, which would result in a higher frequency and a shorter wavelength. Therefore, option B is incorrect as well. Option C suggests decreasing the linear mass density by a factor of 4, which would result in a higher frequency and a shorter wavelength. Thus, option C is also incorrect.
Options D and E suggest increasing the linear mass density of the string. Option D suggests increasing it by a factor of 2, which would decrease the frequency and increase the wavelength. However, to double the wavelength, we need to increase the length or decrease the tension. So, option D is also incorrect. Therefore, the correct answer is option E, which suggests increasing the linear mass density by a factor of 4. This would decrease the frequency and double the wavelength of the fundamental resonant mode on the string.

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Answer:

whatttt

Explanation:

what do u ask boy? just ask.

Answer:

m = 7 kg

Explanation:

F = m × a

49 = m × 7

7m = 49

m = 49/7

m = 7 kg

FULL SOLUTION BELOW THE PIC.

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Answer:

You need to have a good stance, release, power, speed, body, movement, and aim. You should be able to throw an effective pass or throw by using your body and having the correct amount of balance and form

Answer:

100Ns

Explanation:

find velocity and then plug into momentum formula momentum=(velocity)(mass)

Answer:

5,000 kg-m/s going south

Explanation:

Since you're only given mass and height, not velocity. You have to find velocity first. The equation for velocity is v=2gh. We know gravity is 10 since it's given & height is also given which is 125m. After doing the math, it's 2,500. Now that you have velocity, you can plug velocity into the formula for momentum which is p=mv. 2.0 times 2,500 = 5,000 kg-m/s going south.

Answer:

where is the figure?

Explanation:

The distance to the star, in parsecs, is 30 pc.

The distance to the star, in light years, can be calculated using the conversion factor of 3.26 light years per parsec. Therefore, the distance to the star in light years is approximately 97.8 light years.

The distance to a star can be determined using its measured parallax angle. Parallax is the apparent shift in the position of an object when viewed from two different points. It is measured in units of arc seconds.

The formula to calculate the distance to a star in parsecs is:

Distance (in pc) = 1 / Parallax (in arc sec)

Given that the measured parallax is 1/30 of an arc second, we can substitute this value into the formula:

Distance (in pc) = 1 / (1/30) = 30 pc

This gives us the distance to the star in parsecs.

To convert the distance to light years, we use the conversion factor of 3.26 light years per parsec. Multiplying the distance in parsecs by this conversion factor gives us the distance in light years:

Distance (in light years) = 30 pc × 3.26 light years/pc = 97.8 light years

Therefore, the distance to the star is approximately 30 parsecs or 97.8 light years.

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Examples of student-led organizations are:

The benefits of getting involved in any of these are many. They include but are not limited to:

Learn more about student organizations in the link below:

Answer:

A sound is a form of energy, just like electricity, heat, or light. When you strike a bell, it makes a loud ringing noise. Now instead of just listening to the bell, put your finger on the bell after you have struck it. Can you feel it shaking? This movement or shaking, i.e. the to and fro motion of the body is termed as Vibration.

The sound moves through a medium by alternately contracting and expanding parts of the medium it is travelling through. This compression and expansion create a minute pressure difference that we perceive as sound. Let’s discuss the characteristics of sound waves like amplitude, frequency, wavelength, and timbre.

Explanation:

The amount of energy carried by them is proportional to their frequency and amplitude. The greater the frequency, the greater the energy, and the greater the amplitude, the greater the energy.

The frequency of a repeating event is the number of occurrences per unit of time. It is also known as temporal frequency to distinguish it from spatial frequency and ordinary frequency to distinguish it from angular frequency.

In physics, frequency is the number of waves that pass through a fixed point in one unit of time; it is also the number of cycles or vibrations that a body in periodic motion undergoes in one unit of time.

Their energy carrying capacity is proportional to their frequency and amplitude. The more frequency there is, the more energy there is, and the more amplitude there is, the more energy there is.

Thus, this way, energy carried by a light and sound wave varies with amplitude and frequency properties.

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The  is that the velocity of water flow in the pipe on the second floor is 13.6 m/s.

To calculate the velocity of water flow on the second floor, we can use Bernoulli’s principle which states that the pressure and speed of a fluid are inversely proportional to each other. Pressure + (1/2) * Density * Velocity^2 + Density * g * Height

= Constant (where g = acceleration due to gravity)In this problem, since the pressure remains unchanged, we can eliminate the first term on both sides of the equation for both positions. Using Bernoulli’s principle for position 1 and 2 as:

(1/2) * Density * Velocity1^2 + Density * g * H1 = ConstantPosition 2:

(1/2) * Density * Velocity2^2 + Density * g * H2

= ConstantConstant

= (1/2) * Density * Velocity1^2 + Density * g *

H1Taking the difference of the above equations we get:1/2 * ρ * (V2^2 - V1^2)

= -ρghV2^2 - V1^2

= -2ghV2^2 = V1^2 - 2ghV2

= √(V1^2 - 2gh)

The negative sign is ignored as it represents the direction of flow. Putting the values we get:

V2 = √(15^2 - 2 × 9.81 × 3)

= 13.6 m/s

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Answer:

t = 2.40 s

Explanation:

It just told me

The equation should be used to calculate the speed of a wave is speed = frequency x wavelength.

The speed of a wave is calculated by the equations: V = λ . f or V = λ/T, and the unit of measurement is m/s. This speed depends on the medium: in gaseous media, the speed is lower than in solid media.

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The equation should be used to calculate the speed of a wave is speed = frequency x wavelength.

Wave speed is the movement of a progressive wave, which is an energy-moving disturbance that takes the shape of an oscillation and moves from one place to another.

The wavelength and frequency of a wave both affect its speed. A wave's speed is a crucial factor because it enables us to estimate how quickly the wave will disperse in the medium, which is the substance or material that will carry it.

This is the water in the case of ocean waves and the air in the case of sound waves. The kind of wave and the physical properties of the medium in which it is flowing also affect a wave's velocity.

Therefore, The equation should be used to calculate the speed of a wave is speed = frequency x wavelength.

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The most extreme sum of weight that can hang from the conclusion of the pole is 8.66 N.

The most extreme sum of weight that can hang from the conclusion of the bar is calculated as follows.

Apply the equation for pressure utilizing Newton's moment law of movement.

Newton's moment law of movement states that the constrain experienced by a question is specifically relative to the item of the mass and speeding up of the question.

T sinθ = W

Where T is maximum tension in cable

θ is angle of inclination of cable

W is weight of cable

10 sin (60) = W

8.66 N = W

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The acceleration of the objects can be determined by applying Newton's second law and considering the tension in the string. The acceleration is found to be approximately 2.31 m/s², directed towards the heavier object.

To find the acceleration of the objects, we can consider the forces acting on each object. Let's assume the 39.0 kg object is hanging vertically, and the 18.0 kg object is on the horizontal surface. The tension in the string will be the same for both objects.

For the 39.0 kg object:

The gravitational force acting on it is given by F₁ = m₁g, where m₁ is the mass of the object and g is the acceleration due to gravity. As the object is accelerating downwards, there is a net force acting on it in the downward direction. The tension in the string is directed upwards. So, we have T - F₁ = m₁a, where a is the acceleration of the system. Therefore, T = m₁(g + a).

For the 18.0 kg object:

The gravitational force acting on it is F₂ = m₂g, where m₂ is the mass of the object. As the object is on a horizontal surface, the net force acting on it is given by T - F₂ = m₂a. Since the object is moving towards the right, the acceleration is directed towards the right.

Since the tension in the string is the same for both objects, we can equate the two expressions for T: m₁(g + a) = T = m₂g - m₂a. Solving this equation for a, we get a = (m₂g) / (m₁ + m₂) - (m₁g) / (m₁ + m₂). Substituting the given values, we find a = 2.31 m/s². The negative sign indicates that the acceleration is towards the heavier object.

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D. Wavelength. The distance between two consecutive crests represents the wavelength of a wave. Wavelength is defined as the distance between two corresponding points on a wave, such as two crests or two troughs.

It is typically measured in meters and determines the spatial extent of one complete cycle of the wave. In this case, the distance of 2.5 meters between the crests indicates the length of one full wavelength in the wave. The characteristic of the wave represented by the given distance is the wavelength (D). Wavelength is the distance between two consecutive points with the same phase, such as two crests or two troughs. It is a measure of the spatial extent of one complete cycle of the wave. In this case, the distance of 2.5 meters represents the length of one complete wavelength. Amplitude (A) refers to the maximum displacement of the wave from its equilibrium position, frequency (B) is the number of complete cycles of the wave occurring in one second, period (C) is the time taken for one complete cycle of the wave, and phase (E) represents the position of the wave at a particular point in time.

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The pressure exerted on the ground by the box of mass 5 kg is 0.98 N/m².

Pressure is defined to be the amount of force exerted per area acting on the surface of a body.

To calculate the preesure exerted on the ground, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the pressure exerted on the ground is 0.98 N/m².

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Answer: ELECTRICAL ENERGY to CHEMICAL ENERGY to SOUND ENERGY.

Explanation:

There are laws governing the conservation of energy in physics. The first law of thermodynamics states that in a closed system, energy can neither be created nor destroyed during transformation. With this, the total energy of a given system always remains constant.

This first law of thermodynamics which arouse from special relativity, says that changes in the energy of systems will also coincide with changes in a measure of its energy content.

The ELECTRICAL energy from the outlet charger is transformed and stored as CHEMICAL energy in the battery of the phone. This in turn is converted to SOUND energy when the phone rings.

Answer:

false

Explanation:

Answer:

false

Explanation:

The Cenozoic Era is the current Era it's also called the new life era. Dinosaurs appeared in the Triassic era.

The amount of work (in Newton meters) that Helen did to get her car to the gas station is 4000 Newton meters

Work done is defined as illustrated by the formula given below:

Work done = force (F) × distance (d)

From the question given above, we were told that:

The work done by Helen can be obtained as shown below:

Work done = force (F) × distance (d)

Work done = 40 × 100

Work done = 4000 Newton meters

Thus, it is evident that the work done is 4000 Newton meters

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Given data:

1) Runner jogged 40 m at a slow pace for 40 sec.

2) Stopped for 40 sec.

3) Again funs for 60 m in 20 sec.