At highway speeds, anautomobileis capable of an acceleration of about 1.6m/s2. at this rate, how long does it take to accelerate from 80km/hto 110km/h?

A gravitational acceleration points in the direction of the gravitational field's source object.

involving or relating to the pull of two masses: The planet's gravitational pull is responsible for the ebb and flow of ocean tides. Strong propensity or movement towards something or someone, whether inherent or implied: Many studies have been conducted to determine why they are drawn to destructive behavior.

Gravity only comes in one variety. In nature, there is only one form of gravity. According to their masses and the separation between their centers, there is only one kind of gravity influence that draws the two bodies together. Gravity is the strongest force known to exist in nature and is a form of central force.

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The three essential diagnostic features of anorexia nervosa, as defined by the Diagnostic and Statistical Manual of Mental Disorders (DSM-5), are:

It is important to note that these diagnostic features must be present and significantly impair the individual's functioning in order to meet the criteria for anorexia nervosa. Additionally, there may be other associated features and behaviors,

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This is an effective example of Newton's third law. Because of the upward push of the floor, you jump higher and faster. A force of 2,295.9 N is exerted on an airplane weighing 1,500 N while it is accelerated at 15 m/s2.

As we leap, the chemical energy in our muscles is transformed into kinetic energy, which exerts a force on the ground and, according to Newton's third law, causes a reaction that "pushes" us up—leading to the jump. Mass times leap distance equals the typical force that results. A person's center of mass may experience a force from their legs of 1200 N while moving 0.3 m upward during a jump. Gravity, which pulls everything down and causes the bungee jumper to fall, is the first force that the jumper encounters. Almost perfectly constant throughout the trip is the gravitational pull. The force of air resistance is another factor the bungee jumper encounters throughout the descent.

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The component form of the vector V when given two points in a graph is by getting the horizontal displacement between the initial and terminal points, and the vertical displacement between the initial and terminal points.

This is referred to the pictorial representation of data or variables in an organized manner.

The component form of a vector →v is written as →v=⟨vx,vy⟩

v → = ⟨ v x , v y ⟩ , where vx represents the horizontal displacement between the initial and terminal points, and vy represents the vertical displacement between the initial and terminal points.

On the graph, the points are located which represents the component form of the vector V  thereby making it the most appropriate choice.

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Answer:

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Answer:

1440÷12=120

Explanation:

because u have to divide the mitre with the 12 m

(a) The force is the spring exerting on the dart is 0.7 N.

(b) The elastic potential energy stored in the spring is 7 x 10⁻³J.

(c) The kinetic energy of the dart when it reaches the natural length of the spring is 7 x 10⁻³J.

(d) The speed of the dart when it reaches the natural length of the spring is 2.65 m/s.

F = kx

where;

F = 35 N/m x 0.02 m

F = 0.7 N

U = ¹/₂kx²

U = ¹/₂(35)(0.02)²

U = 7 x 10⁻³ J

The elastic potential energy of the spring will be converted into kinetic energy of the dart, with a magnitude of  7 x 10⁻³ J when it reaches natural length of the spring.

K.E = ¹/₂mv²

v² = (2K.E)/m

where;

v² = (2 x 7 x 10⁻³)/(0.002)

v² = 7

v = 2.65 m/s

Thus, the force is the spring exerting on the dart is 0.7 N.

The elastic potential energy stored in the spring is 7 x 10⁻³J.

The kinetic energy of the dart when it reaches the natural length of the spring is 7 x 10⁻³J.

The speed of the dart when it reaches the natural length of the spring is 2.65 m/s.

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Without friction, the car cannot stop...

Answer:

OC, The Tariff of Abominations caused conflicts between the North and the South regarding their sectional interests.

Explanation:

The Tariff of Abominations did cause conflicts because it widened income inequality since it favored the rich upper class while burdening the lower class. The South was the lower class, and the North was more of the upper class.

The skier's speed at the top of the hill (point B) is 6.5 m/s, so the answer is (e) 6.5 m/s.

We can use the conservation of mechanical energy to solve this problem since there is no friction. At point A, the skier has both kinetic and potential energy. At point B, the skier only has potential energy, but the conservation of energy tells us that the total mechanical energy is conserved. Therefore, we can set the initial mechanical energy at point A equal to the final mechanical energy at point B:

(1/2)mvA² + mghA = mghB

where m is the mass of the skier, vA is the speed at point A, hA is the height of point A above the ground, and hB is the height of point B above the ground.

We can solve for the speed at point B:

vB = sqrt(2ghA + vA₂)

where g is the acceleration due to gravity. Plugging in the given values, we get:

vB = sqrt(2×9.8 m/s^2×20 m + (9.2 m/s)^2) = 6.5 m/s

Therefore, the skier's speed at the top of the hill (point B) is 6.5 m/s, so the answer is (e) 6.5 m/s.

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Star Sorgan of magnitude 1 would appear the brightest out of the following hypothetical stars.  If you use the highest daily position of the Sun to mark the noon time of a day, then you are using Apparant Solar Times. The star magnitude system that goes from 1 to 6 was constructed by Hipparchus. Option 2 is correct.

The apparent brightness of a celestial object in the sky is called its magnitude. The scale is inverted; lower numbers denote greater brightness. The stars are classified using their magnitudes, which is denoted by 'm. 'A star's apparent magnitude is how bright it appears in the sky as seen from Earth. A star's absolute magnitude is how bright it would be if it were a distance of 10 parsecs (32.6 light-years) from Earth.

The highest daily position of the Sun is used to mark the noon time of a day in the Apparent Solar Times timing system. The star magnitude system that goes from 1 to 6 was created by Hipparchus.

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The volume of the gas sample at 950.0 torr while keeping the temperature constant will be 190.8 mL. Correct answer is Option B.

To solve this problem, we can use Boyle's Law, which states that the product of the pressure and volume of a gas sample remains constant if the temperature is held constant. Mathematically, it is represented as P1V1 = P2V2. Given the initial volume (V1) of 237.5 mL, initial pressure (P1) of 763.2 torr, and final pressure (P2) of 950.0 torr, we can solve for the final volume (V2):
1. Rearrange the equation to solve for V2: V2 = P1V1 / P2
2. Plug in the given values: V2 = (763.2 torr × 237.5 mL) / 950.0 torr
3. Perform the calculation: V2 ≈ 190.8 mL

Thus, the volume of the gas sample at 950.0 torr will be 190.8 mL.

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The angular momentum given to the engine is: L = I × ωL = 1 kg·m² × 69.8 rad/sL = 69.8 kg·m²/s

Torque (τ) = F × r

Maximum torque is produced when force is applied perpendicular to the radius, i.e. at 90°.So, sin 90° = 1

τ = F × r × 1

= F × r

The formula for the angular momentum is: Angular momentum (L) = I × ω

Where,I is the moment of inertiaω is the angular velocity. We know that,

τ = Iα .............(1)

From rotational equations,α = τ / I ..............(2)

The formula for the angular velocity is:ω = ωo + αt...............(3)

Substituting equation (2) in equation (1), we get,

τ = I(τ / I)

τ = τ

Therefore,τ = τ. So,α = τ / I. Substituting values of τ and r in equation (1), we get,

F × r = Iα

F × r = I(τ / I)

F × r = τ

I = (F × r) / τ

Substituting values of F, r and τ, we get  ,I = (250 N × 0.300 m) / (250 N × 0.300 m)I = 1 kg·m²

The angular velocity is:ω = ωo + αt.

As the car is started from rest, ωo = 0. So, ω = αt. Substituting values of α and t, we get,

ω = (τ / I) × t

ω = (250 N × 0.300 m) / (1 kg·m² × 0.19 s)

ω = 69.8 rad/s.

Therefore, the angular momentum given to the engine is: L = I × ωL = 1 kg·m² × 69.8 rad/sL = 69.8 kg·m²/s

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The frequency of red light, which has a wavelength of around 6.35 * 10 ^ 7 - 7 m, is 4.77 * 10 ^ 14 Hz.

Wavelength is the distance between two successive crests or troughs of a wave, such as a sound wave or light wave. It is usually measured in meters, centimeters, or nanometers. Wavelength is an important factor in determining the properties of a wave, such as its frequency or velocity. Wavelength is inversely proportional to frequency—the higher the frequency, the shorter the wavelength.

This means that the frequency of red light is 4.77 * 10 ^ 14 cycles per second. The frequency of light is directly proportional to its wavelength, so when the wavelength increases, the frequency decreases. This is why red light has a lower frequency than other colors of light, like blue and green, which have higher frequencies.
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Answer:

Mass = volume * density

tables show air = 1.293 g / L and He = .178 g / L

Each balloon would have a lifting power (using mass) of

(1.293 - .178) = 1.115 g / L = 1.115 kg / m^3

Note there are 1000 g in a kg and 1000 L in a m^3

V (balloon) = 4/3 pi .15^3 = .0141 m^3

Each balloon can lift .0141 m^3 * 1.115 kg/m^3 = .0158 kg

Or 63.4 balloons can lift 1 kg

To lift 75 kg requires 63.4 * 75 = 4760 balloons

The interiors of Saturn and Jupiter contain a large amount of large metallic hydrogen because liquid hydrogen transforms into liquid metallic hydrogen as one descends, reaching a depth of 12,000 kilometers as the radius of Jupiter is 71,000 kilometers the hydrogen is below the cloud layers.

Helium and hydrogen make up the majority of the atmospheres of Jupiter and Saturn. The hydrogen changes from a high-pressure gas to liquid hydrogen a few hundred kilometers below the cloud levels. It would take some fairly intense pressures to create this on Earth, but it is possible. It's a component of rocket fuel.

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This equation describes the change in kinetic energy of the block due to the force exerted on it as it moves a horizontal distance Δx.

Kinetic energy is the energy an object has due to its motion. It is the energy that an object has because of its mass and velocity. Kinetic energy is measured in joules (J). Kinetic energy increases as the mass of the object increases and as the velocity of the object increases. For example, a car moving at 30 miles per hour has more kinetic energy than a car moving at 10 miles per hour.

The change in kinetic energy of the block can be calculated using the following equation:
ΔKE = (1/2)Mv2f - (1/2)Mv2i
Where M is the mass of the block, v2f is the final speed of the block, and v2i is the initial speed of the block.
To calculate the final speed of the block, we can use the equation below.
v2f = v2i + (2FAcosθΔx / M)
Where FA is the magnitude of the force, θ is the angle of the force, and Δx is the horizontal displacement of the block.
Using this equation and the equation for the change in kinetic energy, we can derive an equation for the change in the block’s kinetic energy as it moves a horizontal distance Δx.
ΔKE = (1/2)M[v2i+(2FAcosθΔx/M)]2 - (1/2)Mv2i
This equation can be simplified to:
ΔKE = (FAcosθΔx)v2i + (FAcosθΔx)2/2M
This equation describes the change in kinetic energy of the block due to the force exerted on it as it moves a horizontal distance Δx. The first term of this equation represents the increase in kinetic energy due to the increase in speed, while the second term represents the increase in kinetic energy due to the work done by the force.

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The apple will fall in 0.00014 seconds

The branch of physics that defines motion with respect to space and time, ignoring the cause of that motion, is known as kinematics. Kinematics equations are a set of equations that can derive an unknown aspect of a body’s motion if the other aspects are provided.

u = 5 m/h = 0.00139 m/s

using kinematic equation

v = u + at

v = final velocity = 0

g = acceleration due to gravity

t = time = ?

using

v = u - g*t

0 = 0.00139  - 9.8 t

t = 0.00139 / 9.8  = 0.00014 seconds

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Answer:4 and 5

Explanation:it you add 1+3 and 2+3 it is 4 and 5

The motorist was driving to lunch in a car he knew had no working headlights. On the way there he was struck by another driver who had driven 20 m.p.h. exceed the speed limit posted on that road section. He suffered injuries and his car was badly damaged. Jurisdiction makes it a misdemeanor to drive a vehicle that does not have operating headlights. If a rider brings an action against another driver and the above facts are established, he will prevail because the other driver violated the speeding statute, and the motorist’s damages will not be reduced despite his violation of the headlight statute (option B)

The motorist will recover all of his damages because the other driver’s violation of the statute constituted negligence per se. A clearly stated duty created by a criminal statute may replace the more general duty of care if the proponent of the statutory standard shows that (i) he is in a class intended to be protected by the statute, and (ii) the statute was designed to prevent the type of harm that was suffered. Here, the motorist can establish that the statutory standard regarding speeding should be applied against the other driver because the speed limit was posted, the motorist, as a fellow driver, is in the class intended to be protected by the statute, and it was designed to prevent accidents such as that which occurred.

The question is incomplete, it should be:

A motorist was driving to a luncheon in a car that he knew did not have operating headlights. On the way there he was rear-ended by another driver who had been driving 20 m.p.h. over the speed limit posted on that stretch of road. He suffered personal injuries and his car was extensively damaged. The jurisdiction makes it a misdemeanor to drive a vehicle that does not have operating headlights.

If the motorist brings an action against the other driver and the above facts are established, will he prevail?

(A) Yes, because the other driver violated the speeding statute, but the motorist’s damag- es will be reduced because of his violation of the headlight statute.

(B) Yes, because the other driver violated the speeding statute, and the motorist’s damages will not be reduced despite his violation of the headlight statute.

(C) No, because the motorist’s violation of the headlight statute constitutes negligence per se.

(D) No, because the motorist has not estab- lished that driving 20 m.p.h. over the speed limit created an unreasonable risk of injury to others.

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Answer:

they can have both ways because it turns out that they can go into different ways light waves are associated with constantly like her to certain ways or

most people use the term light waves when they usually mean visible light in physics however these terms like veins are trying to be used as a synonym of electronic waves electric razor made of skull in magnetic and electric field like always they carry energy

A heat pump system will be more cost-effective in Miami compared to New York. This is because a heat pump system is designed to move heat from one place to another, either by heating a room or cooling it down. It functions well in areas with mild winters and hot summers as the system is able to switch between heating and cooling as the need arises.

In contrast, New York has a colder climate, especially during the winter months, and temperatures can fall well below the freezing point. As a result, the heat pump system will need to work harder to generate heat, which leads to an increase in energy consumption and higher costs. Furthermore, if the temperature drops below a certain point, the heat pump system may not be able to provide sufficient heat to keep a room warm, making it less effective in colder areas like New York. Therefore, the heat pump system will be more effective and efficient in Miami compared to New York.

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A heat pump system would likely be more cost-effective in Miami compared to New York due to the climate differences between the two regions.

The cost-effectiveness of a heat pump system depends on the specific climate conditions and energy prices in a given location. In this case, Miami's warmer climate makes it more favorable for the use of heat pumps. Heat pumps are highly efficient at extracting heat from the air or ground and transferring it indoors to provide heating during colder months. In a warmer climate like Miami, where the outdoor temperatures are mild, the heat pump can extract heat from the air, requiring less energy to operate and reducing overall energy costs.

On the other hand, New York experiences significantly colder winters compared to Miami. In colder climates, heat pumps become less efficient as the outdoor temperatures drop. In such regions, supplementary heating sources, like electric resistance heating, are often required to meet heating demands during extreme cold spells. These additional heating sources can increase energy consumption and costs, reducing the cost-effectiveness of the heat pump system.

Therefore, considering the climate differences between New York and Miami, a heat pump system is likely to be more cost-effective in Miami due to its warmer climate, which allows for higher energy efficiency and reduced heating demands.

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The intensity of light, i, is inversely proportional to the square of the distance, d, from the light source.

When we say that the intensity of light, i, is inversely proportional to the square of the distance, d, from the light source, it means that as the distance increases, the intensity of light decreases. This relationship is described by the equation i = 1/(d²), where i represents the intensity and d represents the distance.

To understand this concept better, let's consider an example. Imagine you have a flashlight and you measure the intensity of light at different distances from the source. As you move farther away from the flashlight, you will notice that the intensity of light decreases rapidly. This is because the light spreads out over a larger area as the distance increases, resulting in a lower concentration of light.

The reason for this inverse relationship between intensity and distance squared is due to the nature of light propagation. When light travels from a source, it spreads out in all directions, forming a spherical wavefront. As the distance from the source increases, the same amount of light is spread out over a larger surface area of the sphere. Since the surface area of a sphere increases with the square of the radius, the intensity of light decreases inversely proportional to the square of the distance.

In summary, the equation i = 1/(d²) represents the inverse relationship between the intensity of light and the square of the distance from the light source. As the distance increases, the intensity of light decreases because the same amount of light is spread out over a larger area.

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Answer:

18.03 N

Explanation:

From the fiqure below,

Using parallelogram law of vector

R² = 15²+5²-2×5×15cos(180-60)

R² = 225+25-150cos120°

R² = 250-150(-0.5)

R² = 250+75

R² = 325

R = √325

R = 18.03 N

Hence the resultant force of the object is 18.03 N

Answer:

The larger the number of charges flowing through the wire,the larger is the current flowing in the wire.

Explanation:

if the wire is large then large amount of current flows through the circuit.but if the wire is small then a smaller amount of current will pass through.

I hope this helps

The current in resistor R1 is 4.5mA or 0.0045A, and the current in resistor R2 is 1/2500A.Given Data: R₁ = 100 Ω,

R₂ = 50 Ω,

E₁ = 6 V,

E₂ = 5 V, and

E₃ = 4 V.

Resistance R1 is connected in series with the parallel combination of resistance R2 and the batteries.Equivalent resistance across the terminals of the battery is,Rp = R₂ || R_T  ... [Resistors in parallel]Rp = 50 || 100Rp

= 100/3 Ω

Now,Current in resistor R1 is,I₁

= E₁ / (R₁ + Rp)I₁

= 6 / (100 + (100/3))I₁

= 6 / (400/3)I₁

= 4.5mA or 0.0045A

Therefore, the current in resistor R1 is 4.5mA or 0.0045A. Current in resistor R2,The potential difference across resistor R2 is, (E₂ - E₃)V₂ = (E₂ - E₃) / R₂V₂ = 1/50 VTherefore, the current through resistor R2 is,I₂

= V₂ / R₂I₂

= (1/50) / 50I₂

= 1/2500 A

Therefore, the current in resistor R2 is 1/2500A.Answer:

Therefore, the current in resistor R1 is 4.5mA or 0.0045A, and the current in resistor R2 is 1/2500A.

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The rare disorder that includes the inability to feel pain is called Congenital analgesia. That is option B.

Congenital analgesia is defined as ,the name implies, a genetic disorder that rarely occurs which makes one not to be able to feel pain.

It is an autosomal recessive disorder in which there is genetic changes in the PMRD12 gene.

Therefore, the rare disorder that includes the inability to feel pain is called Congenital analgesia.

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