You are designing a Van de Graaff generator, and you want it to hold as many electrons as possible. Should you make the radius of the sphere very large or very small?

Answer:

The SI unit of electric charge is the coulomb and is represented by the symbol C.

\( \large\sf \leadsto\pmb{ Symbol \: Unit \: For \: Electric \: Charge}\)

\( \sf \blue {The \: SI \: unit \: of \: electric \: charge \: is \: coulomb \: which \: is \: also \: represented \: as \: C!}\)

The amount of work that the employee input to move the box over the required distance is 15J.

Work is the measure of energy expended in moving an object; most commonly, force times distance.

It is said that no work is done if the object does not move. The work done on an object can be calculated by multiplying the force applied by the distance moved as follows:

Work done = Force × distance

According to this question, a box with a mass of 5kg is sitting in a storeroom. The manager asks their employee to push the box across the hall which is 3 meters long. The work done on the box is calculated thus;

Work done = 5N × 3m = 15J

Therefore, 15J is the work done on the box.

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Given,

The current, I=0.25 A

The total charge flowing in the circuit is q=6812 C.

The electric current can be defined as the time rate of flow of the charges.

Thus, the electric current is given by,

Where t is the time duration.

Thus the batteries will fry out after 27248 s

Explanation:

Taking g=10m/s²

P.E =mgh

981J= 2×10×m

981J=20m

m. = 981J/20

m. = 49.05kg

Yes, the groceries stay in the bag

What is newton's second law?

Newton's Second Law of Motion says that when a force acts on a mass, the mass will speed up (object). This law of motion can be seen at work when you ride your bike. The mass is your bike. The force is your leg muscles pushing on the pedals of your bike.

We calculate the force that is exerted on the bag using Newton's second law, which states that,

F= ma

m is the mass of the object in kilograms

a is the acceleration of the object in meters per second squared. And so, we got:

F= 20kg X 5 m^2

= 100 N

So, a force of 100 newtons is exerted on the bag. Since that is less than the required 250 newtons needed to rip the bag, then the bag doesn't rip, and so the groceries stay in the bag, due to the normal force exerted on them by the bag.

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If investors are too slow to update their beliefs about a stock's future performance when new evidence arises, they are exhibiting conservatism bias.

what is conservatism bias?

Conservatism bias refers to the tendency of individuals to hold onto their existing beliefs or opinions and be slow to update them when new information or evidence becomes available. In the context of stock market investing, conservatism bias can manifest as investors clinging to their initial beliefs about a stock's future performance, even in the face of contradictory or new information.

Investors affected by conservatism bias may be resistant to incorporating new evidence into their decision-making process. They may prefer to rely on their existing beliefs and past experiences rather than adjusting their expectations based on the most recent information. This bias can result in delayed reactions to market changes, missed opportunities, or failure to adapt investment strategies to new market conditions.

It is important for investors to be aware of conservatism bias and actively work to overcome it by regularly reevaluating their investment assumptions, considering new information objectively, and being open to revising their beliefs based on the most current data. Being able to adapt to changing market conditions is crucial for making informed investment decisions.

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The quantity of internal and mechanical energy that things contain fluctuates as a result of work.

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Answer: Speed increases

Explanation:

A streamlined shape reduces the surface area making contact with the fluid (in this case, water).  Less surface area making contact with the fluid means friction is reduced.  The lower the force of friction, the lower the "drag" on the object in motion, hence the faster it can go.  The force of friction is always in the opposite direction of the motion of the object.

Answer:

825 Joules of energy would be correct if my math is right.

Answer:

Time

Explanation:

As

   Speed = distaance / time

        S = d/t

     t  =  d/s

Explanation:

Find a force is F=mv^2/r, so F=50*5^2/5 = 250N

Answer

A) Time to reach zenith

t

=

2.2

2

=

1.1

s

v

=

u

+

a

t

∴

0

=

u

−

9.8

×

1.1

u

=

10.78

m/s

Explanation:

By extending the spring to the specified distance, work is \(W = \frac{Kx0}{3}\).

The output of a force is equal to the product of the component acting in the displacement's direction and the displacement's magnitude.

The details provided are:

F is the applied force to the spring.

Spring extension is equal to x0.

Following is a calculation of the work involved in stretching the spring to the specified distance;

\(w=\int\limits^x {F} \, dx\)

\(\int\limits^i_i {Kx^2} \, dx\)

\(w= k\int\limits^i_i {x^2} \, dx\)

\(w=K\frac{x^3}{3}\)

\(w= \frac{Kx0}{3}\)

Stretching the spring to the specified distance does the following work:  w= \frac{Kx0}{3} .

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Answer:

a) Mat swum 100 meters.

b)after 4 length , Mat's displacement is zero.

Explanation:

As given, Mat and David are training for the swimming team , and Length of 1 side of the pool is 25 meter.

As swimming pool will be a cube or a cuboid , so it has only 4 sides.

a)

1 length = 23 meter

⇒4 length = 4×25 = 100 meter

So, Mat swam 100 meters.

b)

As after swam 4 lengths of the pool, Mat reaches to its initial position i.e Mat come back to its starting point.

As Displacement is always measures from the starting point.

So, after 4 length , Mat's displacement is zero.

Answer:

sublimation and evaporation

Explanation:

evaporation is from liquid to gas and sublimation is solid to liquid, as water vapor is a gas both of these methods could be used

Answer:

Explanation:

Visible light has a wavelength that ranges from 380 nm – 750 nm on the electromagnetic spectrum while infrared light is just beyond it, ranging from 700 nm – 1 mm, the start of the non-visible portion of the spectrum. As a result, infrared cannot be seen except with special equipment like a security camera

Visible light is the common lighting method and we see it all around us. It is used in homes, work areas, factory floors, parking lots, loading docks, etc. They are also used as warning systems and to provide lighting for CCTV cameras in public places. The presence of floodlights warns intruders that their actions are being monitored.

Infrared light, however, is used when the intention is to monitor intruders covertly. Without a bright light to warn them about the presence of security cameras, intruders no longer feel the need to avoid surveillance, leaving them exposed to the IR-illuminated cameras.

Answer:

1. For humans, we can only see visible light, but can't see infrared.

2. Infrared have longer wavelengths than visible light.

Answer:

pyramid is a body or structure whose outer surfaces are triangular and converge to a first step at the the top which base may be in a shape of triangle ,rectangle,square and other any shape.

Explanation:

its volume is equal to product of area of base and height of it..

the lateral surface area of a regular pyramid is equal to the sum of the areas of its lateral faces.

the total surface area of a regular pyramid is equal to the sum of the lateral surface areas of pyramid and base.

Answer:

hope it is helpful to you

The amount of lateral strain in a tension member can be calculated using Poisson's ratio.

To calculate the lateral strain, we can use the equation: ε_lateral = -ν * ε_longitudinal

Where:

ε_lateral = Lateral strain

ν = Poisson's ratio

ε_longitudinal = Longitudinal strain

Poisson's ratio (ν) is a material property that describes the ratio of lateral strain to longitudinal strain when a material is subjected to an axial load. It is defined as the negative ratio of the transverse strain to the longitudinal strain.

Calculating the lateral strain involves determining the longitudinal strain, which can be calculated using the equation:ε_longitudinal = ΔL / L

Where:

ε_longitudinal = Longitudinal strain

ΔL = Change in length of the tension member

L = Original length of the tension member

Once the longitudinal strain is calculated, we can use Poisson's ratio to determine the lateral strain by multiplying the longitudinal strain by the negative value of Poisson's ratio.

It is important to note that the lateral strain is typically very small compared to the longitudinal strain in a tension member, especially for materials with a low Poisson's ratio.

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Answer:

Yes, that is correct, although most velocity is calculated via m/s and therfore you would multiply your 3 hours by 60 twice. Much of the information given is irrelevant and just trying to confuse.

Explanation:

The total length of the conductor would be approximately 75.89 ft. Correct answer is A.

To calculate the total length of the conductor when the sag is 36 ft and the height of the support points is 20 ft, we can use the equation as given follows:

sag =\((L^2) / (8h)\)

Plugging in the given values:

36 =\((L^2) / (8 * 20)\)

Rearranging the equation to solve for L:

\(L^2 = 36 * 8 * 20 \\L^2 = 5760 \\L = \sqrt{(5760)\)

L ≈ 75.89 ft

Therefore, the total length of the conductor would be approximately 75.89 ft.

Since none of the given answer choices match the calculated result, the correct answer is: A. None of the choices are correct.

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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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Answer:

The answer is D. moving at a constant rate.
Explanation:
I've had this question before.

In the position-time graph, the horizontal line segment indicates that the object is not moving and is at rest. Therefore, option (B) is correct.

The position vs time graph on which the instantaneous position of a particle is plotted on the y-axis and the time is plotted on the x-axis is called the Position-Time graph.

In the position vs time graph always take an independent variable on the x-axis and dependent variables must be plotted on the y-axis. Through mathematical function, the dependent variable will be dependent on the independent variable.

In the case of the Kinematic equation of uniform acceleration, the position can be defined as a dependent variable and time will be the fundamental independent variable.

The case of the horizontal line in the position vs. time graph indicates that the position of the object is not changing with time so it is at rest.

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In order to avoid injury to driver, The force constant of this spring should be 73.82 N/m

Calculation of force constant to this spring:

Here  

vertical drop is 15 m.

mass of the car, m= 113 kg

gravitational acceleration, g= -9.8 m/s^2

spring compression before car stops, x= 3.0 m

In order to avoid injury to the driver,

we need to use Hooke's law and Newton's second law:

F(net) = F(x)

m*a=-k*x

here a=g

k= -(m*g) / x

here k is force constant of this spring

substituting the values we get,

k = -(113* -9.8) / (15)

k = 73.8266 N/m

Hence,  the force constant of this spring should be 73.82 N/m

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PV cells are devices that convert sunlight into electricity, enabling the use of solar power. The switch over or change over to PV cells involves transitioning from conventional grid electricity to utilizing solar energy, offering environmental and economic benefits.

Photovoltaic (PV) cells, also known as solar cells, are devices that convert sunlight directly into electricity. They are made of semiconducting materials, such as silicon, that absorb photons from sunlight and release electrons, generating an electric current. PV cells are a key technology in solar power systems, enabling the conversion of solar energy into usable electrical energy.

Switch over or change over, in the context of PV cells, refers to the process of transitioning from using conventional grid electricity to relying on solar power generated by PV cells. This switch can involve installing PV panels on rooftops or in other suitable locations, connecting them to an inverter to convert the DC electricity produced by the PV cells into AC electricity compatible with household or commercial electrical systems.

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A measure of variability/dispersion appropriate for a nominal level of measurement is None. The correct option is b.

Explanation: The nominal level of measurement represents categorical or qualitative data where observations are assigned to different categories or groups based on their characteristics or attributes. In this level of measurement, there is no inherent order or magnitude associated with the categories. Therefore, measures of dispersion such as variance, range, and standard deviation, which rely on numerical values and calculations involving differences between observations, are not applicable.

Measures of dispersion are designed to quantify the spread or variability of numerical data, providing information about how data points are scattered or dispersed around a central tendency. However, in the case of nominal data, the only information available is the frequency or count of observations falling into different categories. It is not meaningful or appropriate to calculate variance, range, or standard deviation for such data.

Instead, for nominal level data, descriptive statistics such as frequencies, proportions, or percentages are commonly used to summarize the distribution of categorical variables. These measures provide insights into the composition of different categories within the dataset, rather than measuring the dispersion or spread of numerical values.

Therefore the correct option is b.

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Answer: True

Explanation:

A scalar quantity is those quantities that only have magnitude and no direction. Therefore the value doesn't change with direction.

The static (or rolling) friction coefficient that is acting on the car when it's on the ramp is 0.096. If the ramp is not perfectly level, then there will also be a component of the weight force acting parallel to the ramp's surface.

To estimate the static (or rolling) friction coefficient, we need to consider the forces acting on the car. A free body diagram is a useful tool for visualizing these forces. Here's a diagram of the car on the ramp:

                  ^  Normal Force (N)

                  |

                  |

    ------------------------------

    |             |              |

    |             |              |

    |             |              |

    |             |              |

    |             |              |

    |             |              |

    |             |              |

    |             |              |

    |             |              |

    |             |              |

    ------------------------------

                  |

                  |

                  v  Weight (mg)

In this diagram, the weight of the car (mg) is acting vertically downward, and the normal force (N) is acting perpendicular to the ramp's surface. If the ramp is not perfectly level, then there will also be a component of the weight force acting parallel to the ramp's surface. We'll call this force F.

Using Newton's second law (ΣF = ma), we can write:

ΣF = N + F - mg = ma

where a is the acceleration of the car. Since the car is not rolling, a = 0. Therefore, we can simplify the equation to:

N + F = mg

The friction force F is equal to the friction coefficient μ times the normal force N:

F = μN

Substituting this into the equation above, we get:

N + μN = mg

Solving for the friction coefficient μ, we get:

μ = (mg) / (N + mg)

To estimate the friction coefficient, we need to know the values of m, g, N, and the angle of the ramp. The mass of the car is given as 500 grams, which we can convert to kilograms:

m = 0.5 kg

The acceleration due to gravity is approximately 9.81 m/s^2:

g = 9.81 m/s^2

The normal force N is equal to the component of the weight force perpendicular to the ramp's surface, which we can calculate using trigonometry:

N = mg cosθ

where θ is the angle of the ramp. For example, if the angle is 10 degrees, then:

θ = 10 degrees

N = (0.5 kg)(9.81 m/s^2) cos(10 degrees) = 4.882 N

Substituting these values into the equation for the friction coefficient, we get:

μ = (0.5 kg)(9.81 m/s^2) / (4.882 N + 0.5 kg)(9.81 m/s^2) = 0.096

Therefore, the estimated static (or rolling) friction coefficient acting on the car when it's on the ramp is 0.096.

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Answer:

Since there is a gravitational pull, you wouldn't reach the other side. You'd probably be floating in the center of the earth.