A horizontal, uniform board of weight 125 n and length 4 m is supported by vertical chains at each ends. a person weighing 500 n is sitting on the board. the tension in the right chain is 125 n.what is the tension in the left chain

The work done by the cart for weighing 20 newtons is pushed 10 meters on a level surface by a force of 5 newtons is 50 Joules.

The work done on an object is defined as the product of the force applied to it and the distance it moves in the direction of the force. In this case, the force applied on the cart is 5 Newtons and the distance it moves is 10 meters.

So, the work done on the cart can be calculated by multiplying the force and the distance as follows:

Work = Force x Distance

= 5 N x 10 m

= 50 Joules

Therefore, the work done on the cart is 50 Joules.

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The actual mass of a 1 cm² piece of copy paper is determined as 0.0074 g.

Area = Length x Width

Area = (11 x 2.54 cm) x (8.5 x 2.54 cm)

Area = 603.22 cm²

Mass = area density/area

Mass = (4.5 gcm²)/(603.22 cm²)

Mass = 0.0074 g

The complete question is below:

A sheet of 8.5 inch by 11inch paper has a mass of 4.50 grams one square centimeter , 1cm2 of that sheet of paper will have a mass closets to ____grams ( (hint use 1inch = 2.54 centimeters and area = length times)

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The Earth's core must be made of molten iron, have convection currents, be rotating, and be electrically conductive to generate a magnetic field. These characteristics are essential for the dynamo action to occur, which creates the Earth's magnetic field.

The Earth's magnetic field is generated by the motion of molten iron in its outer core. Therefore, to generate a magnetic field, the Earth's core must have certain characteristics.

These characteristics include:

1. Molten Iron: The core must be made of molten iron to generate a magnetic field. The motion of the molten iron creates a magnetic field through a process known as dynamo action.

2. Convection: The core must have convection currents, which are responsible for the motion of the molten iron. Convection occurs due to the temperature difference between the inner and outer core. This temperature difference creates convection currents that drive the motion of the molten iron.

3. Rotation: The core must be rotating to generate a magnetic field. The rotation of the Earth creates a spinning motion in the molten iron, which is necessary for the dynamo action to occur.

4. Electrically Conductive: The core must be electrically conductive to generate a magnetic field. The motion of the molten iron creates electric currents, which are responsible for the magnetic field.

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The amplitude of the function is 5/2Period. The phase shift is Phase shift is π/2Midline and the midline of the given function f(x) is Midline = 2Using the trig function sin(x), the equation for the graph of f(x) can be written as:f(x) = (5/2) sin (x - π/2) + 2

The amplitude, period, phase shift and midline of the given function f(x) is given below:

The given sinusoidal function oscillates between -5 and 5, which is a distance of 5 from the center line.

The amplitude is half of the distance between the minimum and maximum values, which is 5/2.

Hence the amplitude of the function is = 5/2Period:

The distance between the peaks on the graph of the given sinusoidal function is 4.

Hence the period of the function is Period = 4Phase shift:

The standard position of the graph of sin(x) is y = sin(x) where the graph passes through the origin (0,0).

The given function is also sin(x) shifted to the right by π/2 units.

Hence the phase shift is Phase shift = π/2Midline:

The midline is the average value of the function. For the sine function, the midline is y = 0.

The midline of the given function f(x) is Midline = 2Using the trig function sin(x), the equation for the graph of f(x) can be written as :f(x) = (5/2) sin (x - π/2) + 2

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1.5 gram per cubic centimeter

Answer:

a = -1 m/s^2

Explanation:

Vi = 75 m/s

Vf = 25 m/s

t = 50 s

Plug those values into the following equation:

Vf = Vi + at

25 = 75 + 50a

---> a = -1 m/s^2

Answer:

Radiation is the transfer of heat energy through space by electromagnetic radiation.

Explanation:

Answer:

The resultant velocity is 86.1 mi/h.    

Explanation:

The law of cosines is given by:

\( c^{2} = a^{2} + b^{2} - 2abcos(\theta) \)

Where:

c: is the resultant velocity =?

a: is the velocity of the plane = 75.0 mi/h

b: is the velocity of the wind = 15.0 mi/h  

θ: is the angle between "a" and "b"                          

The angle between "a" and "b" can be found as follows:

\( \theta = 180.0 - 46.0 = 134.0 ^{\circ} \)

Now, by using the law of cosines we have:

\( c^{2} = (75.0)^{2} + (15.0)^{2} - 2*75.0*15.0*cos(134.0) = 7413.0 \)

\( c = 86.1 mi/h \)    

Therefore, the resultant velocity is 86.1 mi/h.    

The law of sines is:

\( \frac{a}{sin(\gamma)} = \frac{b}{sin(\alpha)} = \frac{c}{sin(\theta)} \)

Where:

γ: is the angle between "b" and "c"

α: is the angle between "a" and "c"

So, if we want to find "c" by using the law of sines, we need to know another angle besides θ (γ or α), and the statement does not give us.

I hope it helps you!        

The individual effect of salinity reduced organism performance in 43% of the observations, including decreased survival and growth, increased osmolyte content in bodily fluids, altered metabolic rates, etc.

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Explanation:

F =  9/5 C +32  

  9/5 ( 38.5) + 32 = 101.3 F  

The patient's temperature (38.5 °) in degrees Fahrenheit is 101.3 °F.

To convert a temperature from degree Celsius to degrees Fahrenheit, you can use the following formula: (Celsius * 9/5) + 32. In this case, the patient's temperature is 38.5 °C.

Applying the formula, we have: (38.5 * 9/5) + 32. Firstly, calculate 38.5 multiplied by 9/5, which is 69.3. Then, add 32 to this value: 69.3 + 32 = 101.3.

Therefore, the patient's temperature in degrees Fahrenheit is 101.3 °F. This conversion allows medical professionals to understand and compare temperatures in different units, ensuring appropriate care for the patient.

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The given paraboloid coordinate system (u, v, ϕ) with x = u.v cosϕ,

y = u.v sinϕ , z = 1/2 (u2 - v2) is orthogonal. The gradient is ∇f = (∂f/∂u) e_u + (∂f/∂v) e_v + (∂f/∂ϕ) e_ϕ ; divergent is ∇²f = ∇ · (∇f) ; curl is (∇ x) and laplacian is  (∇²).

We can prove that the paraboloid coordinate system (u, v, ϕ) is orthogonal, by computing the dot products of the basis vectors. The basis vectors in this coordinate system are given by:

e_u = (∂x/∂u, ∂y/∂u, ∂z/∂u) = (v cosϕ, v sinϕ, u)

e_v = (∂x/∂v, ∂y/∂v, ∂z/∂v) = (u cosϕ, u sinϕ, -v)

e_ϕ = (∂x/∂ϕ, ∂y/∂ϕ, ∂z/∂ϕ) = (-u.v sinϕ, u.v cosϕ, 0)

By Taking the dot products, we find that e_u · e_v = 0, e_v · e_ϕ = 0, and e_ϕ · e_u = 0. This proves that the basis vectors are mutually perpendicular, and therefore, the coordinate system is orthogonal.

Next, we can calculate the gradient (∇) in this coordinate system. The gradient of a scalar function f(u, v, ϕ) is given by:

∇f = (∂f/∂u) e_u + (∂f/∂v) e_v + (∂f/∂ϕ) e_ϕ

The divergence (∇ ·) and curl (∇ x) can be computed using the standard formulas in terms of the basis vectors. Finally, the Laplacian (∇²) can be obtained by taking the divergence of the gradient:

∇²f = ∇ · (∇f)

Thus, By evaluating these operations in the given coordinate system using the appropriate partial derivatives, we can determine the gradient, divergent, curl, and Laplacian for any scalar function in the (u, v, ϕ) coordinates.

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The Weight of an object is more at pole and less at equator of the earth because the distance of the pole is less than the distance of the equator from the centre of the earth.

There is little chance that additional forces could be simply translated into spacetime in the same manner that gravity is.

The general relativity theory proposes that gravity is the bending of spacetime brought on by the existence of mass and energy. This theory describes gravity.

The strong nuclear force, the weak nuclear force, and other basic forces are all explained by various theories that do not use the idea of spacetime curvature in the same manner that general relativity does.

The basic forces are mediated through objects referred to as bosons in quantum mechanics, which explains how small-scale particles behave. Every force has a certain sort of boson attached to it, and depending on how these bosons interact with other particles, the forces exhibit various behaviours.

It is still totally speculative to say that other basic forces may be construed as properties of spacetime in a unified theory of physics at this time. It is also important to keep in mind that the idea of spacetime is specific to relativity and cannot be used in other branches of physics.

There is therefore little chance that additional forces could be simply translated into spacetime in the same manner that gravity is.

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The equivalent equation for V is V = m/d.

The density of a substance is the connection between the mass of the substance and what sort of space it takes up (quantity). The mass of atoms, their length, and how they may be organized decide the density of a substance.

Density is a vital concept because it lets us decide what materials will drift and what substances will sink whilst positioned in a liquid.

The density will increase as pressure increases. Altitude and climate structures can alternate the air's strain. As you move better, the air's strain decreases from around 1,000 millibars at sea level to 500 millibars at around 18,000 ft.

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The value of g at an altitude equal to the radius of the Earth would be 0 N/kg.

The value of g at any point in space is determined by the mass of the object and the distance between the center of mass of the object and the point. At the surface of the Earth, the radius is included in the distance between the center of mass and the point, resulting in a non-zero value of g.

However, at an altitude equal to the radius of the Earth, the distance between the center of mass and the point is infinite, resulting in a zero value of g. This is because the gravitational force becomes weaker as the distance between two objects increases, and at an infinite distance, it becomes negligible. Therefore, the correct answer is 0.

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The number of variations the dealership have is 40 cars.

Data given;

This is the total numbers of cars available in the dealer shop at the moment.

To get that, we simply multiply the numbers of colors available, the number of transmission and the makes of car available.

This is equal to

\(4*2*5=40\)

From the above calculation, we can say that the variations the dealership offers is 40

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Answer:

100 J

Explanation:

\(kinetic \: energy \: = \frac{1}{2} \times 50 \times {2}^{2} \)

= 100 joules

In areas where pests are a problem, metal shields are commonly used as a protective measure between the foundation wall and sill.

Pests such as termites, ants, and rodents can cause significant damage to buildings, particularly in regions where they are prevalent. To prevent these pests from accessing the interior of a structure, metal shields are often installed as a physical barrier between the foundation wall and sill.

The metal shields serve multiple purposes in pest control. Firstly, they create a deterrent for pests attempting to enter the building. The metal material is resistant to chewing and burrowing, making it difficult for pests to penetrate. Secondly, the shields help to minimize potential entry points by sealing off any gaps or cracks that may exist between the foundation and sill. This tight seal restricts the pests' ability to find openings and gain access to the building.

Furthermore, metal shields provide long-lasting protection against pests. Unlike alternative materials, such as wood or plastic, metal shields are less susceptible to deterioration and damage caused by pests or weather conditions. This durability ensures that the protective barrier remains intact over time, maintaining its effectiveness in preventing pest infestations.

In conclusion, metal shields act as a preventive measure in areas where pests pose a problem. By creating a sturdy and impenetrable barrier between the foundation wall and sill, they help keep pests at bay, reducing the risk of infestation and potential damage to buildings.

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Hi there!

\(\large\boxed{375 sec}\)

Use the equation:

Distance / speed = time

We are given that the distance = 45,000 m and speed = 120 m/s, so plug these values into the equation to solve for time:

45,000 / 120 = 375 seconds.

Answer:

An increase in the mass on the string will cause an increase in the period.

Explanation:

We'll begin by writing an expression showing the relationship between the period and mass. This is shown below:

T = 2π√(m/K)

Where:

T is the period of oscillation.

m is the mass of the object.

K is the spring constant.

T = 2π√(m/K)

From the above formula:

The period (T) is directly proportional to the square root of mass (m) and inversely proportional to the square root of the spring constant (K). This implies that an increase in the mass of the object on the spring will result in an increase in the period of oscillation and a decrease in the mass of the object will also decrease the period of oscillation.

Cathy is given the task of measuring the volume of water a wading pool will hold, unfortunately, the instrument she chooses to use to accomplish this task is a thermometer. Cathy is carrying out a procedure that is not a reliable measure of volume.

In fact, a thermometer measures temperature, not volume. Volume is the amount of space that a substance or object occupies. It is measured in cubic units. There are different instruments used to measure volume, depending on the substance being measured. For liquids, we usually use graduated cylinders, pipettes, or burettes. For solids, we can use measuring cups, beakers, or volumetric flasks. A thermometer, on the other hand, measures temperature. Temperature is the degree of hotness or coldness of a substance.

It is measured in degrees Celsius (°C) or Fahrenheit (°F).It is not advisable to use a thermometer to measure the volume of a substance as it will not yield accurate results. This is because different substances have different thermal expansion coefficients, and a thermometer can only measure the expansion or contraction of the substance as a result of temperature changes. Therefore, it is crucial to use the right tool for the job to obtain accurate measurements.

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Answer:

180 cm, what

2. The triangular side walls of a flyover have been used for advertisements. Theses

the walls are 122 m, 22 m and 120 m (see Fig. 12.9). The advertisements a

earning of 5000 per m per year: A company hired one of its walls for 3 months

much rent did it pay

Explanation:

Answer:

If the mass of an object is 5kg it means that the mass is measured on the unit kilogram and this unit is contained 5times the given quantity of the object.

Metamorphic rock: A rock changed by heat, pressure, and fluids.

Foliation: Parallel alignment of platy grains.

Burial metamorphism: A process that changes rock because of pressure with equal intensity from all sides.

Parent rock: The original rock before it metamorphoses.

Metamorphic rock: A rock changed by heat, pressure, and fluids. The word metamorphic means change in form. Metamorphic rocks are made by rocks that have been altered in some way. This can happen through heat, pressure, and fluids. Examples of metamorphic rocks include slate, gneiss, and marble.

Foliation: Parallel alignment of platy grains. Foliation is a term used to describe the parallel alignment of platy grains in a metamorphic rock. This is caused by pressure during metamorphism. The platy grains can be minerals like mica or clay.

Burial metamorphism: A process that changes rock because of pressure with equal intensity from all sides. Burial metamorphism is a process that changes rock because of pressure with equal intensity from all sides. This can happen when rocks are buried deep within the earth's crust.

Parent rock: The original rock before it metamorphoses. The parent rock is the original rock before it metamorphoses. This rock is changed into a metamorphic rock through the process of metamorphism.

To summarize, metamorphic rock is a rock that has been changed by heat, pressure, and fluids. Foliation refers to the parallel alignment of platy grains. Burial metamorphism is a process that changes rock because of pressure with equal intensity from all sides. The parent rock is the original rock before it metamorphoses.

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Since Hooke's law implies linear, i anticipate that the length of a spring will double if the weight hanging on this is doubled. The graph below depicts a spring's ideal Hooke's law graph.

At the range of the material's elastic limit, according to Hooke's law, the strain is inversely related to the applied stress. The molecules and atoms in elastic materials stretch when they are stretched, distort when under stress, and then return to their original shape once the tension is released.

In the year 1660, an English british scientist Robert Hooke discovered Hooke's law, commonly known as that of the law of elasticity. According to Hooke's law,  the magnitude of the deformation is precisely proportional to a deforming load or force.

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An electron (charge -e) is at rest in a region of electric potential that varies as a function of position. When released it will move A. into a region of lower potential.

Since the electric potential varies as a function of position, there will be regions of higher and lower potential energy. The electron will move from a region of higher potential energy to a region of lower potential energy. Therefore, the electron will move into a region of lower potential The direction of the electric field is perpendicular to the equipotential lines. Therefore, the electron will move in the direction of the electric field if the equipotential lines are not parallel to the electric field.

If the equipotential lines are parallel to the electric field, the electron will move perpendicular to the electric field. In summary, the electron will move into a region of lower potential while following the direction of the electric field or moving perpendicular to it depending on the orientation of the equipotential lines. So therefore the correct answer is An electron (charge -e) is at rest in a region of electric potential that varies as a function of position. When released it will move A. into a region of lower potential.

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Excellent for capturing fast-moving objects in great focus with minimal motion blur and with less ambient light in the environment.

A value of 1/250s or less is considered quick. When we say 1/250s, we imply one hundred and fifty-seconds. A shutter speed of 1/500s indicates that the shutter is open for one-fifth of a second. 1/250s is quicker than 1/500s. If the shutter speed is not a fraction (i.e. it is more than a second), it is sometimes preceded by a quote mark or " — for example, 8" is an eight second shutter speed while 8 is a 1/8 second shutter speed. The shutter speed is frequently displayed on cameras with a top-mounted LCD screen.

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Answer:

a. increase

Explanation:

Doubling the mass of the Earth would double your weight, since gravitational force is directly proportional to mass, but doubling the radius (which doubles if the diameter doubles) would decrease your weight by a factor of 1/4, since gravitational force is inversely proportional to the square of the radius.