Can a coin falling from the top of the Empire State Building kill you? explain why

The slope of the graph of the equation at the point (20, 2) is 1/8.

To find the slope of the graph of the equation at the given point (20, 2), we need to find the derivative of the equation with respect to x and evaluate it at x = 20. Let's differentiate the equation implicitly:

xy - 9y^2 = 4

To differentiate implicitly, we treat y as a function of x and apply the chain rule. Differentiating both sides of the equation with respect to x:

1 * y + x * dy/dx - 9 * 2y * dy/dx = 0

Simplifying this equation:

y + x * dy/dx - 18y * dy/dx = 0

Grouping the terms with dy/dx:

dy/dx * (x - 18y) = -y

Now, let's solve for dy/dx by dividing both sides by (x - 18y):

dy/dx = -y / (x - 18y)

Substituting the given point (20, 2) into the equation:

dy/dx = -2 / (20 - 18(2))

         = -2 / (20 - 36)

         = -2 / (-16)

         = 1/8

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According to the information available in the question, the force constant is 2.37N/m.

Using the relation;

T = 2π√m/k

T = period = 0.500 s

m = mass in kilograms = 0.0150-kg

k = spring constant = ?

Making k the subject of the formula;

k = 4π^2m/T^2

k = 4 × (3.142)^2 ×  0.0150/(0.500 )^2

k = 2.37N/m

What is force?

A mass object's velocity changes when it is pushed or pulled. Its SI unit is Newton and its base SI unit is \(kgm/s^{2}\). A device, spring balance is used to measure force.

There are two effects of force, it changes the speed and the direction.

How much force is 1 newton?

1 newton is the amount of force, is the force required to accelerate a mass of 1 kg at 1 m per second with respect to time.

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Answer:

The correct solution is "\(5\times 10^{-4}\) %".

Explanation:

The given values are:

Pressure,

\(\Delta P=7\times 10^5 \ N/m\)

for copper,

\(B=14\times 10^{10} \ N/m\)

As we know,

The Bulk Modulus (B) = \(\frac{\Delta P}{-\frac{\Delta V}{V} }\)

or,

The decrease in volume will be:

= \((\frac{\Delta V}{V})\times 100 \ percent\)

then,

= \(\frac{\Delta P}{B}\times 100 \ percent\)

On putting the values, we get

= \(\frac{7\times 10^5}{14\times 10^{10}}\times 100 \ percent\)

= \(5\times 10^{-4} \ percent\)

Answer:

False

Explanation:

Answer:

The correct answer is C.) C

Explanation:

I just did the test on edge and got it right

A car sits on a tall orange box with a shorter orange box in front if it. A short line from the car leads to line, which curves down to the shorter box, and line. Therefore, the correct option is option C.

Many of us do not pause to contemplate the importance of play in the lives of children, whether they are our own or the children of friends and relatives. We just take it for granted that kids spend their free time driving toy trucks about or pretending to be dragons (or both), and although it's amusing (certainly for them and occasionally for us), we don't give it much thought beyond that.

It's a great time to start playing with cars, dump trucks, and other vehicles. Not that they'll need much convincing: boys, in particular, appear to be captivated to anything that includes wheels long before their first birthday. which curves down to the shorter box, and line.

Therefore, the correct option is option C.

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Latitude of the line will be = 1436.033

Departure of the line will be   = 28.152

Given

let line be = a = 1436. 32

azimuthal be = x = 178° 52' 13''

This line must have two components , one is horizontal component which is its latitude and other will be vertical component which is departure . Resolving both the components we get,

latitude = a*cos(178° 52' 13'')

             = 1436. 32 * cos(178° 52' 13'')

             = 1436. 32 * (- 0.9998)                              

latitude = 1436.033

departure  =  a * sin (178° 52' 13'')

                  = 1436. 32  *  0.0197

  departure  = 28.152

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Answer:

1.96m/s^2

Explanation:

According to Newtons second law;

F = ma

a = F/m

a = nR/m

a = nmg/m

a = ng

n is he coefficient of friction = 0.2

g  = 9.8m/s^2

a = 0.2 * 9.8

a = 1.96m/s^2

Hence the acceleration of the box is 1.96m/s^2

Answer:

As the temperature increases, the volume of the material also increases. This is known as thermal expansion. It can also be explained as the fractional change in the length or volume per unit change in the temperature.

The relation between alpha, beta, and gamma is given in the form of a ratio and the ratio is 1:2:3 and can be expressed as:

alpha=fracbeta2=fracgamma3

Following is the relation between the three:

L = L (1 + α.ΔT)

Where, α is the coefficient of linear expansion  

A = A (1 + β.ΔT)

Where, β is the coefficient of aerial expansion

V = V (1 + γ.ΔT)

Where, γ is the coefficient of cubical expansion  

V = V + γV.ΔT

V = V (1 + γ.ΔT)  

L3 = L3 (1 + α.ΔT)3

L3 = L3 (1 + 3α.ΔT + 3α2.ΔT2 + α3.ΔT3)

L3 = L3 (1 + 3α.ΔT)

Alpha, beta, and gamma are related to one another in the form of a ratio, and that ratio is 1:2:3, and yes they are universal constants.

A substance's volume expands while its mass stays constant. Heating is typically the cause of expansion. When a substance is heated, the molecular bonds separating its particles weaken, the particles move more quickly, and the substance expands as a result.

Determine the relation as shown below,

L = L (1 + α × Δ T)

here, α is the coefficient of linear expansion  

A = A (1 + β × Δ T)

here, β is the coefficient of aerial expansion

V = V (1 + γ × Δ T)

here, γ is the coefficient of cubical expansion  

V = V + γ × V × Δ T

V = V (1 + γ × ΔT)  

L3 = L3 (1 + α × Δ T)3

L3 = L3 (1 + 3α × ΔT + 3α2 × ΔT2 + α3 × ΔT3)

L3 = L3 (1 + 3α × Δ T)

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Nikola Tesla is best known for his contributions to the design of the modern alternating current (AC) electricity supply system. Tesla's inventions have had a profound impact on our lives.

His work on AC electricity led to the development of the modern power grid, which provides us with electricity for our homes, businesses, and industries.

His work on AC electricity led to the development of electric motors, which are used in a wide variety of devices, including fans, refrigerators, and electric vehicles. In the early days of his career, he was often ridiculed by his peers for his unconventional ideas.

Nikola Tesla was a Serbian-American inventor, electrical engineer, mechanical engineer, futurist, and polymath.

He invented the Tesla coil, a high-voltage, high-frequency alternating current generator that is used in a variety of applications, including radio broadcasting, medical therapy, and industrial applications.

Tesla's inventions have changed our technologies. He also invented the fluorescent lamp, which is now used in homes and businesses all over the world.

Tesla's work was not always appreciated by society. He was also seen as a threat by the Edison Electric Company, which was the dominant player in the early electrical industry. As a result, Tesla's work was often overlooked or stolen by others.

Despite the challenges he faced, Tesla persevered and made significant contributions to the field of electrical engineering. His work has had a profound impact on our lives and has helped to shape the modern world.

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Nikola Tesla's inventions are groundbreaking and remarkable. He was an extraordinary inventor who contributed significantly to the fields of electricity, electromagnetism, and wireless communication. His inventions, such as the alternating current (AC) system, the Tesla coil, and wireless power transmission revolutionized the world of technology and laid the foundation for many modern advancements.

Nikola Tesla's inventions had a profound impact on our lives. The adoption of Tesla's AC power system, for instance, allowed for the efficient transmission and distribution of electricity over long distances. This innovation brought electricity into our homes, powering lighting, appliances, and various devices. Tesla's inventions greatly improved the quality of life, providing convenient and reliable access to electrical energy.

Furthermore, Tesla's work on wireless communication and the development of the Tesla coil paved the way for advancements in wireless technology. His concepts and inventions laid the foundation for radio transmission, wireless telegraphy, and eventually, the development of modern wireless communication systems. Today, we rely heavily on wireless technologies such as smartphones, Wi-Fi networks, and Bluetooth connections, all of which can be traced back to Tesla's contributions.

However, despite his remarkable inventions and contributions, Nikola Tesla faced certain challenges and societal ostracization during his time. One of the primary reasons was his rivalry with Thomas Edison, who championed the competing direct current (DC) system. Edison's influence and propaganda campaigns led to the portrayal of Tesla's AC system as dangerous, which hindered the widespread adoption of his inventions. Additionally, Tesla's ambitious projects, such as the Wardenclyffe Tower for wireless power transmission, faced financial difficulties, leading to setbacks and the perception of him as an eccentric figure.

Therefore, Nikola Tesla's inventions have had a profound impact on our lives and technologies. From the adoption of AC power to the development of wireless communication, Tesla's innovations have shaped the modern world. While his work was not always appreciated during his time, the significance of his contributions cannot be overstated.

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Answer:

The answer is D

Explanation:

Because the other options do not make since.

Answer:

D.

Explanation:

The coefficient of friction depends on both the mass of the objects and the material make-up of the surfaces in contact.

The coefficient of friction is a dimensionless quantity that represents the ratio of the force of friction between two surfaces to the normal force pressing them together. It is denoted by the symbol "μ."

The coefficient of friction is influenced by several factors, including the mass of the objects involved and the material properties of the surfaces in contact. The mass affects the normal force, which is directly proportional to the weight of an object. As the mass increases, the normal force and, subsequently, the frictional force also increase.

The material make-up of the surfaces is another crucial factor. Different materials have different surface textures, roughness, and chemical properties that affect the frictional interaction between them. For example, a rough surface will generally have a higher coefficient of friction compared to a smooth surface.

Therefore, the coefficient of friction depends on both the mass of the objects and the material make-up of the surfaces. These factors play a significant role in determining the frictional forces acting between objects in contact.

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Answer:

a)    I = 13.38 kg m / s, b)    F = 1,373 10³ N

Explanation:

The impulse is given by the relation

          I = ∫ F dt = Δp

          I = p_f -p₀

          I = m (v_f - v₀)

take the ball's exit direction as positive, whereby the ball velocities

v₀ = -90mph, the final velocity v_f = + 54 m / s

Let's reduce the units to

         I = 0.142 [54- (-40.23) ]

      the SI system

        v₀ = - 90 mph (1609.34 m / 1 mile) (1h / 3600 s = -40.23 m / s

        m = 142 g (1kg / 1000) = 0.142 kg

we calculate  

          I = 0.142 [54- (-40) ]

          I = 13.38 kg m / s

b) let's use the definition of momentum

         I = ∫ F .dt

         I = F ∫ dt

         F = I / t

         F = 13.38 / 0.008

         F = 1,373 10³ N

Answer:

The firecracker has chemical potential energy that is released when it is ignited.

Explanation:

Answer:

The three primaryfactors of evaporation are heat, atmospheric pressure (which determines the percentage of moisture) and the movementofair. At the molecular level, there is no strict boundary between the liquid state and the vapor state

The hydro power plant consists of a (artificial) dam that builds gravitational potential energy, P.E. from natural flowing water sources, by locating the dam along the water path. The stored potential energy, P. is converted into kinetic energy, K.E. as the water falls from the dam, down to the turbines, located at a much lower level according to the following principle of conservation of energy equation;

Total Mechanical Energy, M.E. = The potential energy of the water, P.E. + The kinetic energy of the water, K.E. = Constant

M.E. = P.E. + K.E. = Constant

Where;

P.E. = m·g·h

K.E. = (1/2)·m·v²

m = Mass

g = The acceleration due to gravity

h = The height of the dam

v = The velocity

The charts can be explained as follows;

Given that the potential energy P.E. = m·g·h, we have that the potential energy is directly proportional to the height of the dam, and therefore, at mid height, the potential energy would be half the maximum value, and we have;

At mid height, P.E. = (1/2)·\(\mathbf{P.E._{max}}\)

At the top of the dam, the (vertical) velocity of the water = 0, therefore, the kinetic energy = 0

Therefore, at the top of the dam, we get;

M.E. = \(P.E._{max}\) + 0 =

M.E. = \(\mathbf{P.E._{max}}\)

Similarly, at the bottom of the dam, the height, h = 0, therefore, being proportional to the height, P.E. = 0, and the velocity is maximum, and at the bottom, we have;

M.E. = 0 + \(K.E._{max}\)

The first chart, water is halfway down the dam

At the halfway down therefore, we have;

P.E. = (1/2)·\(\mathbf{P.E._{max}}\)

M.E. = \(P.E._{max}\) = (1/2)·

∴ K.E. = \(P.E._{max}\) - (1/2)·

Therefore the first chart, water is halfway down the dam;

Halfway, K.E. = (1/2)·\(\mathbf{P.E._{max}}\) = P.E.

∴ K.E. = P.E.  as shown on the chart

The second chart, water has reached the turbine

Water reaches the turbine at the bottom, and as explained above, we get;

M.E. = 0 + \(K.E._{max}\)

∴ M.E.≈ \(K.E._{max}\)

Therefore, when water has reached the turbine at the bottom of the dam, the kinetic energy is approximately proportional to the total mechanical energy as shown in the chart

The third chart, water is at the top of the dam

Here as shown above, we have;

The total mechanical energy, M.E. ≈ \(\mathbf{P.E._{max}}\) as shown on the chart

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Answer:

Your question is incomplete

Answer: acceleration meters by second squared velocity meters per second distance meters

Explanation:

The Height of the roof is 225 feet .

Calculation :

y = h - gt2/2 = 0;

h = gt2/2;

v(t) = dy/dt = - gt;

t = - v(t)/g;

h = g/2·v2(t)/g2

= v2(t)/(2g)

= 120²ft2/s²/(2·32ft/s²) =

225 ft

In mathematics, height is defined as the vertical distance from top to bottom of an object. Also called "height". The term geometry height refers to the measurement of an object along the coordinate geometry's y-axis.

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Answer: 1/10th of its weight on Earth.

Explanation: Let's assume that the weight of the object on Earth is W, and the gravitational acceleration on Earth is g. We know that weight is given by the formula:

W = m * g where m is the mass

If the gravitational attraction on another planet is 1/10th of Earth's pull, then the gravitational acceleration on that planet will be:

g' = g/10

Using the same formula for weight, the weight of the object on the new planet will be:

W' = m * g'

Substituting the value of g' in the equation above, we get:

W' = m * (g/10)

W' = (m/10) * g

Therefore, the weight of the object on the new planet will be 1/10th of its weight on Earth.

W' = (100/10) N = 10 N

So, the weight of the same object on a planet where the gravitational attraction has been reduced to 1/10th of Earth's pull would be 1/10th of its weight on Earth.

The net force on particle q2 can be calculated by finding the net electric force acting on it. The net electric force acting on a particle is the vector sum of the forces exerted by all the other charges on it.

The electric force between two charges q1 and q2 is given by Coulomb's law: F = k * (q1 * q2)/r^2, where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them.

The force on particle q2 due to q1 will be:

F1 = k * (q1 * q2) / (0.980m)^2

The force on particle q2 due to q3 will be:

F2 = k * (q2 * q3) / (0.750m)^2

The net force acting on q2 will be the vector sum of F1 and F2.

Keep in mind, q1 and q3 have opposite charges, so they attract each other, while q2 has the same charge as q1, so they repel each other.

Note: The unit of charge is Coulomb (C), but in this problem you are given the charges in microCoulomb (uC) so you need to convert it to Coulomb.

Answer:

8.89 m/s

Explanation:

rate = distance/time

40m/4.5 sec = 8.8888889 m/s

Having a flat tire is one of the predominant inconveniences of riding. A guide car jack is designed to raise the vehicle high sufficient to eliminate the flat tire.

Converting a tire is definitely an alternative bodily trauma. we need to place a few muscles in getting the lug nuts off and cranking the jack, after which you need to bend down and lift the tire. regularly, oldsters will try to do all of this in a rush to get on their way, however, it really is a mistake.

To change eliminate the flat tire. The following steps should be followed:-

Having a flat tire is one of the predominant inconveniences of riding. while a terrific spare is unavailable, you both have to call a tow truck or repair the tire ourselves. luckily, the process of fixing it yourself is noticeably sincere and requires only a few gears.

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Answer:

70

Explanation:

The first ionization energy of at c. 800 kJ/m

Based on the trend in the periodic table, we know that ionization energy increases as we move from left to right across a period. Astatine is located in Group 17, which is also known as the halogens, and is the last element in the period. Therefore, we can estimate that the first ionization energy of Astatine would be the highest among the halogens. Looking at the options given, the closest value to our estimation would be 800 kj/mol (option b). However, it is important to note that this is just an estimate and the actual value may differ slightly due to various factors.
To estimate the first ionization energy of astatine (At), we can look at the periodic trend of ionization energies for halogens. Ionization energy generally increases across a period and decreases down a group. Astatine is in Group 17, below iodine (I). Iodine's first ionization energy is around 1000 kJ/mol. Since ionization energy decreases down a group, a reasonable estimate for the first ionization energy of At would be slightly lower than that of iodine. Therefore, the best option from the given choices is:

c. 800 kJ/mol

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Answer:

D. lucid dreaming

Explanation:

(=^w^=)

A girl on a swing may increase the amplitude of the swing's oscillations if she moves her legs at the natural frequency of the swing. This is an example of: This phenomenon is an example of resonance.

Resonance occurs when an external force is applied to a system at its natural frequency, resulting in a significant increase in the system's amplitude. In the case of the girl on a swing, the natural frequency of the swing is determined by its length and the force of gravity. When the girl moves her legs at the natural frequency of the swing, she applies periodic impulses to the swing, synchronizing her motion with the natural oscillations of the swing. As a result, the amplitude of the swing's oscillations increases. This happens because the energy transferred to the swing with each leg movement is added constructively to the existing oscillations, leading to a cumulative effect. Resonance can be observed in various systems, from musical instruments to bridges, and it is often desirable in specific applications. Understanding the concept of resonance allows us to manipulate and control systems by applying forces at their natural frequencies to achieve desired outcomes.

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A spring of force constant 120 N/m acted up by a constant force of 240N. Then, the elastic potential energy stored in the spring is 240 Nm.

The elastic potential energy stored in the spring is formulated as follows

                                                 PE = ½kx²

Where PE is the elastic potential energy, x is the displacement of the spring from its equilibrium position, and k is the spring force constant.

In this question, the spring force constant is 120 N/m, and the constant force acting on the spring is 240 N. To find the spring displacement, we can use the formula:

F = kx

Where F is the force acting on the spring, x is the displacement, and k is the force constant,

So that:

F = kx

240 N = 120 N/m . x

x = 240 N/120 N/m

x = 2 m

Once x is known, then we can calculate the potential energy of the spring:

PE = ½kx²

PE = ½ (120) (2²)

PE = 60 x 40

PE = 240 Nm

So, the elastic potential energy stored in the spring is 240 Nm.

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The moment of inertia about the rotation axis for the given playground toy, with two children sitting opposite each other, is approximately 145.35 kg·m².

To determine the moment of inertia about the rotation axis for the given playground toy, we need to consider the contributions from the seats and the two children.

Given:

Mass of each seat = 6.4 kg

Length of the rods (r) = 1.5 m

Mass of the first child (m₁)= 16 kg

Mass of the second child (m₂) = 23 kg

The moment of inertia of each seat can be calculated using the formula for the moment of inertia of a point mass about an axis:

\(I_{seat} = m_{seat times} r^2\)

For each seat, the moment of inertia is:

\(I_{seat} = 6.4 kg times (1.5 m)^2= 14.4 kg\cdot m^2\)

Now, to calculate the moment of inertia contributed by the children, we need to consider that the children are located opposite each other. Assuming the axis of rotation passes through the center of mass of the children-seats system, the moment of inertia for each child is:

\(I_{child} = m_{child times} r^2\)

For the first child (m₁):

\(I_1 = 16 kg times (1.5 m)^2 = 36 kgm^2\)

For the second child (m₂):

\(I_2 = 23 kg times (1.5 m)^2 = 51.75 kgm^2\)

Finally, we can calculate the total moment of inertia by summing the contributions from the seats and the children:

Total moment of inertia =\(4 times I_{seat} + I_1 + I_2\)

= \(4 times (14.4 kgm^2) + 36 kgm^2 + 51.75 kgm^2\)

= \(57.6 kgm^2 + 36 kgm^2 + 51.75 kgm^2\)

= \(145.35 kgm^2\)

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