calculate the maximum speed that the car can have without losing contact with the road at the top of the hill

The speed of the coaster at position B is 12mvB2. The value of the coaster speed at point B 3.016 m.

Speed is the rate in which something is traveling.

The speed of the coaster at position B can be determined using the work-energy theorem. According to the theorem, the work done by the gravitational force is equal to the change in kinetic energy. Therefore, the kinetic energy of the roller coaster at point B is equal to the potential energy at point A.

The potential energy at point A is equal to mghA, where m is the mass of the roller coaster, g is the acceleration due to gravity, and hA is the height of point A. Similarly, the kinetic energy at point B is equal to 12mvB2, where vB is the speed of the roller coaster at point B.

Therefore, the speed of the roller coaster at point B can be calculated as follows:

vB = √(2ghA/m) = √(2*9.8*30/m) = 5.48 m/s.

b) The efficiency of the roller coaster is 55%, so the actual speed of the roller coaster at point B would be 55% of the calculated speed. Therefore, the actual speed of the roller coaster at point B would be 5.48 * 0.55 = 3.016 m

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The vector's magnitude is 5.4m/s²and direction is 56.30°.

We will talk about vectors and scalars in this section. Quantities called vectors have both a magnitude and a direction. The indication of a vehicle's motion serves as a practical example of a vector.

Given,

ax = 3.0 m/s², ay = -4.5 m/s²

a = [tex]\sqrt{a^{2} _{x} + a^{2} _{y} }[/tex]

a = [tex]\sqrt{3^{2} +-4.5^{2} }[/tex]

a = [tex]\sqrt{9+20.25}[/tex]

a = [tex]\sqrt{29.25}[/tex]

a = 5.4m/s².

A vector's direction can be established by

α = tan⁻¹ y/x

α = tan⁻¹-4.5 / 3.0

α = tan⁻¹(1.5)

α = 56.30°.

The angle that the vector makes with the horizontal axis, or the X-axis, determines the vector's direction. By counterclockwise rotating the vector's angle at its tail toward the east, one can determine the vector's direction.

The vector's direction is therefore 23.375° away from the X-axis, i.e., the vector Ax = 26 m/s², Ay = 10 m/s² points in the direction of the North-East.

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A measurement of 5 meters is to the north. A vector quantity with the direction and magnitude of 5 meters north is 5 meters.

The object's speed is defined as the magnitude (or value) of the velocity. The direction that the object is travelling in is indicated by the velocity vector. Imagine an object travelling along the path the circle traces out. It would be better to draw the circle.

The vector, as we all know, is an object that possesses both magnitude and direction.  An arrow stands in for a vector. How can the magnitude of a vector be determined.

The length of the arrow denotes the magnitude or strength of the vector, and the direction, or arrowhead, denotes the direction in which the vector is moving.

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The ratio of time of flight for inelastic collision to elastic collision is 1 : 2.

An inelastic collision is a type of collision in which the kinetic energy does not remain the same before and after the collision, while an elastic collision is a type of collision in which the kinetic energy remains the same before and after the collision.

mass of the bullet, = m₁

mass of the block, = m₂

initial velocity of the bullet, = u₁

initial velocity of the block, = u₂ = 0

final velocity of the block = v

final velocity of the b can be calculated by the formula,

m₁u₁ + m₂u₂ = v ( m₁ + m₂)

v = ( m₁u₁ + m₂u₂ ) / ( m₁ + m₂)

According to the equation of motion,

v = u + at

u = o

v = at ( a=g )

t = v/g

t = ( m₁u₁ + m₂u₂ ) / {g*( m₁ + m₂)}

final velocity will be given by ,

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

Since u₂ = 0

m₁u₁ = m₁v₁ + m₂v₂

the block undergoes unidirectional motion,

so u₁ + (-v₁) = u₂ + v₂

v₁ = u₁ - v₂

therefore, m₁u₁ = m₁(u₁ - v₂) + m₂v₂

v₂ = 2m₁u₁ / ( m₁ + m₂)

According to the equation of motion,

v = u + at

u = o

v = at ( a=g ) ( v=v₂) ( t=t₂)

t₂ = v₂/g

t₂ = 2m₁u₁ / g( m₁ + m₂)

Ratio of t₁ and t₂ is  ( m₁u₁ + m₂u₂ ) / {g*( m₁ + m₂)} / 2m₁u₁ / g( m₁ + m₂)

t₁ : t₂ = 1 : 2.

The question is incomplete, the complete question is:

A bullet of mass M1 is fired towards a block of mass m2 initially at rest at the edge of a frictionless table of height h as in the figure. The initial speed of the bullet is vi . Consider two cases, a completely inelastic one and an elastic one, where the bullet bounces off the block. inelastic case elastic case a bullet inside no bullet inside A B A' B' What is the ratio of the flight time

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266 m distance will be covered by a car uniformly accelerating from 12m/s to 26m/s in 14 seconds.

Uniform acceleration: If a body is travelling by increasing its velocity in equal intervals of time then that body is said to be in uniform acceleration.

s=ut+1/2 at² where as s= distance , u = initial velocity, t= time

to calculate the uniform acceleration a=[tex]\frac{v-u}{t}[/tex] here v= final velocity u= initial velocity.

we have v=26ms and u=12m/s

a=[tex]\frac{26-12}{14}[/tex] = 1 a=m/s².

now substitute a =1 in formula s=ut+1/2 at²

we get s=12(14)+1/2(1)(14)²= 266m

 Hence the distance covered by the  car which is uniformly accelerating from 12m/s to 26m/s in 14 seconds is 266 m.

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That ratio is 2 .

A ratio is the  comparison of the  two numbers bydivision.

Taking the first two outputs, or the  -1/8 and -1/4, we can divide not the second one by the first one to find the

ratio:

-1/4-1/8

When dividing fractions, we multiply by the reciprocal:

-1/4x-8/1

To multiply fractions, multiply straight across:

(-1x-8)/(4x1) 8/4=2

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Why is Coulomb's proportionality constant so much larger than Newton's?

Coulomb's proportionality constant is much larger than Newton's because it represents the force between two charges instead of the force between two masses. Since electric forces are much stronger than gravitational forces, Coulomb's constant is significantly larger than Newton's.

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The average speed of the hiker for the entire hike is 10 km/hr. Average speed indicates the average speed during the complete course of a particular journey.

By dividing the total distance traveled by the total amount of time it took to traverse that distance, one can get the average speed of an object. The rate at which an object's position changes in any direction is known as sped. Since speed simply has a direction and no magnitude, it is a scalar quantity.

The average speed = Total distance covered / Total time taken

Total distance = 5 + 15 + 5 + 10 = 35 km

Total time = 30 + 90 + 30 + 60 = 210 mins = 3.5 hrs

According to the diagram provided, the average speed will be:

= 35 / 3.5

= 10 km/h.

Hence, the average speed is 10 km/h.

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Passive strength (passive tension or passive stiffness) typically increases when muscle length is greater than at rest, whereas active strength (also called active tension or active stiffness) is typically decreases. This relationship is known as the relationship between muscle length and tension.

The relationship between length and tension refers to the relationship between the length of a muscle and the force it produces.

In general, as muscle length increases, the connective tissue within the muscle (such as tendons and fascia) stretches, thus increasing the passive force generated by the muscle.

At the same time, muscles are less likely to generate force when stretched, so the active force generated by the muscle normally decreases.

So the correct answer to the question is:

Passive force increases and active force decreases.

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The distance traveled by the wheel edge by one rotation of the wheel, if the radius is 22 cm, is  138.16 cm.

The circular movement of an object about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or counterclockwise. There are countless conceivable central axes and rotating orientations for a three-dimensional object.

Given:

The radius of the wheel, r = 22 cm,

The distance traveled by the point on the wheel's edge in one rotation will be equal to the circumference of the wheel.

Calculate the circumference of the circle by the formula given below,

Circumference of circle = [tex]2\pi \ r[/tex]

Substitute the values,

C = 2 × 3.14 × 22

C = 138.16 cm

Therefore, the distance traveled by the wheel edge by one rotation of the wheel, if the radius is 22 cm, is  138.16 cm.

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Answer:

8360N

Explanation:

F = ma

= 2200kg × 3.8 m/s²

= 8360 N

To increase the frequency by 4 octave(s), to 16fo, by a factor of 16 we have to increase the tension. To increase the frequency by 4 octave(s), to 16fo, by a factor of 1/16 we have to decrease the length.

An octave is a logarithmic unit for ratios between frequencies in electronics, with one octave equal to a doubling of frequency. For instance, 80 Hz is the frequency one octave above 40 Hz. The phrase comes from the Western musical scale, in which an octave represents a frequency doubling.

You can get the number of octaves between two frequencies, such as the upper and lower bounds of a band of noise, by first determining their ratio, then calculating the log of it, and then dividing that by the log of 2.

A musical interval is called an octave. Both in terms of music and physics, an octave is defined as An octave is the distance in pitch between a note, such as C#, and the note that follows it with the same name but is either higher or lower.

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As the force exerted by the mass in the both cases was same on the both sides so that the object was said to be in the rest condition so they are said to be same in both conditions.

define pulleys ?

A wheel on an axle or shaft known as a pulley is used to transfer power from the shaft to the cable or belt or to sustain movement and direction change of a taut cable or belt. When a pulley is supported by a frame or shell and is used to guide a cable or apply force rather than transmit power to a shaft, the supporting shell is referred to as a block and the pulley may be referred to as a sheave.

For the purpose of locating the cable or belt, a pulley may include a groove or grooves between flanges around its circle. A rope, cable, belt, or chain may serve as the driving component of a pulley system.

As the force exerted by the mass in the both cases was same on the both sides so that the object was said to be in the rest condition so they are said to be same in both conditions.

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The typical air bags from 1997 and 1998 automobiles are compared in Figure 1. The values depicted are the average of the information provided by 11 separate cars.

Inflation is a unit of measurement used to determine how much a group of goods and services have increased in cost over a given period of time, usually a year. Possibly one of the most well-known economics terms. Because of inflation, nations have gone through protracted periods of instability. In the field of economics, inflation refers to an increase in the overall cost of goods and services in a country.

The majority of economists concur that chronic excessive expansion in the money supply is the primary driver of high inflation and hyperinflation, both of which have profoundly disruptive consequences on the actual economy. John Taylor, a Stanford economist, claims that when the Federal Reserve sets an interest rate that is too low or when the expansion of the money supply is too rapid, inflation rises. As of right now, it is moving too quickly.

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Without halting, while getting cool at about constant brightness, the statement goes.

Even though it is a star, and our own local star at that, our sun lacks a widely used and distinctive English proper name. We English people just refer to it as the sun. English speakers occasionally refer to our sun as Sol.

It emits heat and light, also known as solar energy, which enables life to live on Earth. To flourish, plants require sunshine. Humans and other animals alike depend on plants for nourishment as well as the oxygen they release. Earth would freeze absent solar heat.

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The complete question is-

Stars with more than 15 times the mass of our Sun usually evolve from the main sequence to red giants.

Answer:

large

Explanation:

A mixture can be classified as a solution, a suspension, or a colloid based on the size of its large particles.

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The :Gene, chromosomes, and nucleus is the cell components are are most involved in determining an organisms traits.

As it relates to genetics, a trait is a unique quality about a person. Genes, environmental influences, or a combination of both can influence traits. Qualitative traits, like eye color, can also be quantitative (such as height or blood pressure).

Your traits, which are features or characteristics that you inherit from your parents, are determined by the information carried by your genes (say: trates). In the human body, each cell has between 25,000 and 35,000 genes.

A trait is a unique attribute, propensity, or characteristic that someone, something, or both have. In those early months, many of our personality traits are formed. Humans are creative beings. Synonyms: trait, quality, feature, attribute additional words for characteristic

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initially, the car is traveling at 5.0 m/s.

so, we know acceleration for changing velocity is :

a = (v-v[tex]_{o}[/tex])/t ..........(i)

where v is the final velocity

v[tex]_{o}[/tex] is the initial velocity

t is the time taken to change velocity

Now, as per the question :

initial velocity, v[tex]_{o}[/tex]=5.0 m/s

final velocity, v =11 m/s

time taken, t = 3 s

putting the values in equation (i),

a = ( 11-5 )/3

a = 2 m/s²

Therefore, a, after 3 s, is  2 m/s².

Gatsby appears to stretch his arms toward a light on the end of the dock across the water. the color of the light is green.

In the first chapter of the book, Nick first meets Jay Gatsby. Gatsby is remaining in his gallery holding his arms out to approval across the sound. It turns out that this green light is the one on the dock of Daisy Buchanan's house.

The green light that Gatsby watches across the water, which simultaneously represents Gatsby's love for Daisy, money, and the American Dream, is one of The Great Gatsby's most memorable images. Before Nick has even met Gatsby, we see the green light for the first time at the end of Chapter 1, and we immediately recognize it as a mysterious and potent object with significant symbolic significance for Gatsby. Gatsby bought his house so that he could see the green light every night because it hangs at the end of Daisy's dock.

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Answer:

Explanation:

If the question is set up correctly here, we can solve this correctly.

Lightning and Thunder Data

Occurrence Lightning

Observed Thunder Heard Distance to ---- We need this

Lightning (m)

A 8:00:00 p.m. 8:00:01 p.m. 330

B 5:30:00 p.m. 5:30:04 p.m. 1,320

C 6:45:00 p.m. 6:45:06 p.m. 1,980 ---- We need this

D 7:20:00 p.m. 7:21:00 p.m. 19,800

6:45:06 - 6:45:00 = 6

So 6 seconds. We also get 1980. So we do 1980/6, which is 330(m)?

If the unit is meters, then the sound of thunder travels at 330(m)

The acceleration of the rock half-way between two planets is 1.086 m/s².

The parameters provided;

3M radius of planet A.

R mass of planet A.

4M radius of planet B.

2R distance between the two planets,

r = 8R

Newton's universal gravitational law is used to calculate the gravitational force half-way (4R) between the two planets;

Fg = GmAmB/r²\

Fg = G(2M x 4M)/(4R)²

Fg = 12GM²/16R²

Fg = (12 x 6.67 x 10⁻¹¹ x (7.3 x 10²³)²) / 16(5.8 x 10⁶)

Fg = 7.925 x 10²³N

The magnitude of the rock's acceleration is calculated as follows using Newton's second law of motion:

F = ma

a = F/m

a = 7.925 x 10²³/7.3 x 10²³

a = 1.086m/s²

As a result, the rock's acceleration is 1.086 m/s².

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Answer:

12tfr

Explanation:

as per as calculations

Therefore, the time required for an object t roll down an inclination plane will shorten as the weight (body) of the object increases.

A measurement of how much matter is present in or makes up a physical body. In physical laws, an object's mass is crucial to Newton's laws because it influences the force needed to accelerate it and, consequently, how much inertia it has.

Digital scientific weights and beams balances, like a triple beam balance, are examples of several sorts of balances. The metric system uses both grams or kilograms as the basic unit of measurement for mass.

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Answer:

650, 340

Explanation:

GPE = mgh

a) 5 x 10 x 13 = 650J

b) 5 x 10 x 6.8 = 340J

The mass of silver solidified when 749 joules of heat are released by a sample of molten silver at its freezing point of 962°C be 7 g.

The heat or energy that is absorbed or released during a substance's phase change is known as latent heat. It might go from a solid to a liquid or from a liquid to a gas, or vice versa. Enthalpy, a characteristic of heat, is connected to latent heat.

Given parameters:

Total heat released during freezing: H = 749 joule.

The latent  heat of fusion of silver: L =  109 J/g.

Hence, mass of silver is solidified: m = H/L = 749/107 kg = 7 g.

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Answer: 6.87 grams

Explanation:

231 years is the half-life of a radioactive substance whose disintegration constant happens to be 0.003s⁻¹.

Half-Life: It is the amount of time it takes for half of a Radioactive particular sample to react particular quantity requires to reduce its initial value to half. That means the time taken by the radioactive substance or isotopes to decay half.

Half-Life Formula :t₁/₂ = 0.693/λ

Where as t1/2 is Half-Life of a radioactive substance

λ= decay constant  

We have λ=0.003s⁻¹ substitute in the formula

t1/2=[tex]\frac{0.693}{0.003}[/tex] = 231.

Hence 231 years is the half-life of a radioactive substance whose disintegration constant happens to be 0.003s¹.

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The measure of the amount of friction existing between two surfaces is known as the coefficient of friction.

When you find a coefficient of friction, you’re calculating the resistance to motion at the interface of two surfaces of similar or dissimilar materials.

The power of this friction force depends on the materials that are pressing against one another. For instance, a steel bar will slide much more easily on a sheet of ice than on a slab of concrete. In these examples, the steel-on-ice combination has a much lower coefficient of friction.

Friction can wreck a piping system if it is unchecked. Reducing a pipe’s coefficient of friction is an important way to preserve metal.

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The first icost regarding free trade is that it nvolves the potential costs of adjustment in the industry. The second involves the possibility that more varieties will increase transaction costs.

Free trade can compel regional industries to up their game and rely less on government support. They have the power to attract new investments, expand markets, and boost GDP. FTAs can expose a nation to issues with local employment, the degradation of natural resources, and the loss of traditional livelihoods.

The first cost has to do with potential industry adjustment costs. The second is the potential for higher transaction costs as more varieties are available.

Government policies that impede international trade in order to support domestic industries are referred to as protectionism. However, they can also be implemented due to safety or quality concerns. Protectionist policies are typically implemented to increase economic activity within a domestic economy.

By enforcing tariffs or other trade restrictions, a protectionist trade policy enables the government of a nation to support domestic producers and thereby increase domestic production of goods and services.

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Explanation:

Refer the explanation in the picture