The design of a new road includes a straight stretch that is horizontal and flat but that suddenly dips down a steep hill at 18°. The transition should be rounded with what minimum radius so that cars traveling 95 km/h will not leave the road

Explanation:

According to newton's second law.

The acceleration of the car would be 10 m/s² if the force (10 N) on it is doubled.

We know that the acceleration of an object can be calculated using the formula ⇒ a = F/m (i)

Here, the force experienced by the car is ⇒ F = 10 N

If this force is doubled we would have ⇒ 2×10 ⇒ 20 N (ii)

The mass of the car is ⇒ m = 2 kg (iii)

Now, putting the values of the doubled force and mass (ii and iii) in (i), we get ⇒ a = 20/2

a = 10 m/s²

Therefore, the car has an acceleration of 10 m/s² when the force on it is doubled.

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The wavelength of the light is 1.92 * 10^-6 m which corresponds to the infrared region as shown in the image attached.

We know that the hydrogen atom has electrons that occupy energy levels that are in conformity with the Bohr model. According to the Bohr model, electrons can move from a higher to a lower energy level.

We now have;

1/λ = RH (1/[tex]n_{2} ^2[/tex] - 1/[tex]n_{1}^2[/tex])

λ = wavelength

RH = Rydberg constant

The initial and the final levels are also shown therefore;

1/λ = 1.097 * 10^7 ( 1/3^2 - 1/4^2)

1/λ= 1.097 * 10^7 (0.11 - 0.0625)

λ=1.92 * 10^-6 m

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Answer:

it gets hot

Explanation:

because you are rubbing it hard

The extra work is required to stretch the spring to an additional 9.95 cm is 25.61 J.

The spring constant of the spring is determined by applying the formula for elastic potential energy of a spring as shown below.

E = ¹/₂kx²

where;

kx²= 2E

k = 2E/x²

k = (2 x 5.91)/(0.0478²)

k = 5,173.2 N/m

The work done to stretch the string to 9.95 cm is calculated as;

E = ¹/₂kx²

E = ¹/₂(5173.2)(0.0995)²

E = 25.61 J

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A battery is analogous to a pump in a water circuit

A pump receives water at low pressure, processes it, and ejects it at high pressure. A battery absorbs a charge at low voltage, processes it, and then expels it at high voltage.

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Correct option is B)

Power with which crane lifts the load =0.8×0.9 × input power

P=0.8×0.9×200 kW

Now, P=

F

.

v

Here, F=mg (since there is no acceleration)

10

3

×0.8×0.9×200=3.6×10

3

×10×v

⇒v=4 m/s

The force that is applied to the car is 2896 N.

We know that the acceleration is the often gotten by the use of the kinematic equations. We can write;

v^2 = u^2 + 2as

Given that;

v = final velocity

u = initial velocity

a = acceleration

s = distance

Then we know that u = o m/s since it started from rest

v^2 = 2as

a = v^2/2s

a = (26.7)^2/ 2 *  120

a = 2.97 m/s^2

We know that;

Force = mass * acceleration

Force = 975-kg * 2.97 m/s^2

Force = 2896 N

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The size of the normal force acting on the object from largest to smallest are;

(b) The object is at rest on the stationary platform and there is a downward force of 10N applied to the top of the object while it remains stationary.

(e) The platform is accelerating the object downward at 0.5 m/s^2.

(a) The object is at rest and the platform is not moving.

(c) The object is at rest on the stationary platform and there is an upward force of 10N applied to the top of the object while it remains stationary

(d) the platform is accelerating the object upward at 1.5 m/s^2.

The normal force of an object is the upward force exerted on the object by the supporting surface due to weight of the object acting downwards.

The formula for normal force is given as;

Fn = mg

where;

The normal force on the 10 kg object when it is  at rest and the platform is not moving,

Fn = mg

Fn = 10 x 9.8

Fn = 98 N

When the object is at rest on the stationary platform and there is a downward force of 10N applied to the top of the object while it remains stationary,

Fn = (10 x 9.8) + 10 N

Fn = 108 N

When the object is at rest on the stationary platform and there is a upward force of 10N applied to the top of the object while it remains stationary,

Fn = (10 x 9.8) - 10 N

Fn = 88 N

When the platform is accelerating the object upward at 1.5 m/s^2

Fn = (10 x 9.8) - (1.5 x 10)

Fn = 98 N - 15 N

Fn = 83 N

When the platform is accelerating the object downward at 1.5 m/s^2

Fn = (10 x 9.8) + (10 x 0.5)

Fn = 103 N

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The example of projectile is a basketball being shot by Steph Curry.

Projectile is any object propelled through space by the application of a force.

Projectile is used to describe any object that is cast, fired, flung, heaved, hurled, tossed, or thrown. For example, when a ball is thrown straight upward, or kicked.

In projectile motion, gravity is the only force acting on the object. This doesn’t necessarily mean that other forces do not act on it, just that their effect is minimal compared to gravity. The path followed by a projectile is known as a trajectory.

Other examples of projectile is as follows:

Therefore, it can be said that a basketball being shot by a renowned basket baller into the air is an example of projectile.

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Explanation:

resultant motion = √x² + y²

this is using Pythagoras theorem whereas the x and y components can be used to construct a right angle triangle with the hypotenuse = resultant.

hope it helps. :)

Answer:

45 N

Explanation:

F = m a  = 15 * 3 = 45 N

The wavelength of the wave is 3m and the speed of the wave is  15 m/s

We define a wave as a disturbance that occurs along a medium and leads to the transference of energy from one point to another. As we can see the energy in this case is transferred along the length of the string. We know that the wavelength is the distance between the two successive crests or troughs.

Now we know that the distance between the two successive crests as we can see is the wavelength of the wave and this is shown the length that have been designated as d and we thus have the wavelength as 3m.

Again we have;

v = λf

v = speed of the wave

f = frequency of the wave

λ = wavelength of the wave

Then;

v = 3 m * 5 Hz

= 15 m/s

Thus the wave speed is obtained as 15 m/s.

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The range of distances from the Sun that you would expect to find solid, rocky material collecting together to form a terrestrial planet is option (C)  0.2 - 5 AU.

Jovian planets can be found at distances of 2 AU to 50 AU or more. This is the area where the early Solar System's temperature was below 273 K, water's freezing point.

Therefore, While rocky and metallic materials (Terrestrial planets) might have condensed over the whole range of distances from the Sun, only the rocky material could have accumulated over the range from 2 AU and inwards. H and He may have also been captured by the planet if it had been further from the Sun than 2 AU, which would have made it a Jovian or gas giant planet.

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Using a free body diagram to explain the situation,  the acceleration of the block decreased because of force of friction acting in opposite direction reducing the net force on the block and consequently the acceleration of the block.

The net force on an object is the sum of all the forces acting on an object.

According to Newton's second law of motion, the net force on an object is directly proportional to the product of mass and acceleration of the object.

F(net) = ma

F - Ff = ma

where;

In the absence of friction force, the maximum acceleration of the block is calculated as;

a = F/m

a = 40 N / 10 kg

a = 4 m/s²

In the presence of friction force, the net force will decrease and the acceleration of the block will decrease as well.

In free body diagram (FBD) this can be represented as;

F →       Ф     ← Ff

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Answer:

Formula

Resolve:

Hope this helped

Hello..!

We first apply the data to the problem.

Data:

Then, we apply the formula that is.

Formula:

Finally we develop the problem.

Developing:

The speed is 2 meters per second.

The time (in seconds) it will take the Narwhal to accelerate from rest down a 30 meter long ravine is 5.2 s

We know from equations of motion that distance, acceleration and time are related according to the following formula:

s = ut + ½at²

Where

With the above formula, we can obtain the time as follow:

s = ut + 1/2at²

30 = (0 × t) + (½ × 2.2 × t²)

30 = 0 + (1.1 × t²)

30 = 1.1 × t²

Divide both side by 1.1

t² = 30 / 1.1

Take the square root of both side

t = √(30 / 1.1)

t = 5.2 s

Thus, the time taken is 5.2 s

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According to particle model of light, speed of light decreases as it enters a optically denser medium.

Refraction occurs when a light beam crosses a barrier between two different materials. The ray changes direction and speed in accordance with the following relationship:

where n is the material's index of refraction, which is greater for a medium with a higher optical density, and v and c are the speed of light in a vacuum and the ray of light, respectively, in the material. As a result, the equation shows that the wave's speed decreases with increasing optical density.- Since the frequency of the light is independent of the characteristics of the medium, it is constant.

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I hate to leave you answer less, but there isn't even a question here to answer.

We have the following from the question;

The coefficient of linear expansion is 8.6 * 10^-5

The coefficient of superficial expression is 1.72 * 8.6 * 10^-4

The coefficient of cubical expansion is  2.5  * 10^-4

Let us recall that the term linear expansivity has to do with the increase in length, per unit length, per degree Kelvin rise in temperature. Now we know that we have the following information from the question;

Initial length =  6cm

Increase in length = 0.3cm

Initial temperature = 20 degree Celsius

Final temperature =  600 degree Celsius

We then have;

coefficient of linear expansion = e/[tex]l_{1}[/tex]([tex]T_{2}[/tex] - [tex]T_{1}[/tex])

e = extension

[tex]l_{1}[/tex] = initial length

[tex]T_{2}[/tex] = Final temperature

[tex]T_{1}[/tex] = initial temperature

coefficient of linear expansion = 0.3/6(600 - 20)

= 8.6 * 10^-5

coefficient of superficial expression = 2( 8.6 * 10^-5)

= 1.72 * 8.6 * 10^-4

coefficient of cubical expansion = 3(8.6 * 10^-5)

= 2.5  * 10^-4

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Advanced medicine, good healthcare and easy diagnose are three ways that modern technology has enhanced people’s health

Technology has changed how individuals go about their daily lives. Practically every action you take, including regular work and conversation, is affected by it. Thanks to technology, carrying out tasks around the house or going to work has become easier. Many gadgets and pieces of equipment make it easier for people to live. Transportation, education, and medicine are just a few of the societal fields it has affected.

Another significant benefit of technology in people's lives is the modernization of the healthcare industry. The days of waiting in an outpatient department queue for hours to see a doctor are long gone. Patients may schedule hospital visits and look up the business hours of their doctors' offices using mobile devices.

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The angular velocity, in rad/s, of the two after the collision is 28.7 rad/s.

The angular velocity, in rad/s, of the two after the collision is determined by applying principle of conservation of angular momentum as follows;

I₁ω₁ = I₂ω₂

where;

Initial moment of inertia of the rod is calculated as follows;

I₁ = ¹/₃ML²

where;

I₁ = ¹/₃ x 1.4 x (1.2²)

I₁ = 0.67 kgm²

Final moment of inertia of the rod is calculated as;

I₂ = ¹/₃ x (1.4 + 0.038) x (1.2²)

I₂ = 0.69 kgm²

I₁ω₁ = I₂ω₂

0.67(0 + 35.5/1.2) = 0.69ω₂

19.82 = 0.69ω₂

ω₂ = 19.82/0.69

ω₂ = 28.7 rad/s

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Answer:

A.0

Explanation:

The length of the spring during the motion is 16.875 cm

We'll begin by obtaining the velocity during the first 1.60 s. This is illustrated as follow:

Velocity = distance / time

Velocity = 0.96 / 1.6

Velocity = 0.6 m/s

Next, we shall determine the acceleration.

a = (v – u) / t

a = (0.6 – 0) / 1.6

a = 0.6 / 1.6

a = 0.375 m/s²

Next, we shall determine the force.

Mass (m) = 12.5 kg

Acceleration (a) = 0.375 m/s²

Force (F) =?

Force = mass × acceleration

Force = 12.5 × 0.375

F = 4.6875 N

Next, we shall determine the extension of the spring.

F = Ke

Divide both sides by K

e = F / K

e = 4.6875 / 2.5

e = 1.875 cm

Finally, we shall dtermin the length of the spring. This can be obtained as follow:

Length of spring = 15 + 1.875

Length of spring = 16.875 cm

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Answer:

no coaster car does not travel as high

The relative humidity (RH) where the Wet Bulb Depression is 3° and the Dewpoint is 24° is given as 78.92%.

Relative humidity (RH) is a percentage ratio of the quantity of atmospheric moisture available to the amount that would exist present if the air was saturated.

The relationship between Relative Humidity, Air Temperature, and Dewpoint is given as follows:

RH = 100 *[[tex]e^{\frac{(\beta * Dp)}{(\lambda + Dp)}}[/tex] / [tex]e^{\frac{(\beta * T)}{(\lambda + T)}}[/tex]]

Where

RH = Relative Humidity

T = Air Temperature

Dp = Dewpoint

β = 17.625 and λ = 243.04°C; (revised Magnus coefficients)

e = 2.7182818 [exponential constant]

Note that Air temperature (T) is determined using the attached Dewpoint Psychrometer Table /chart

As given on the chart and in the question;
T = 28°

Dp = 24°

Hence,

RH = 100 x [[tex]e^{\frac{(17.625 * 24)}{(243.04+ 24)}}[/tex] / [tex]e^{\frac{(17.625 * 28)}{(243.04+ 28)}}[/tex] ]
RH = 100 x [ [tex]e^{(423/267.04)}[/tex] )/ [tex]e^{(493.5/271.04)}[/tex]]

RH = 100 x [[tex]e^{1.584}[/tex]/[tex]e^{1.8207}[/tex]]

RH = 100 x (4.874414/6.176578)

RH = 100 x 0.789177113929

RH = 78.9177113929

RH [tex]\approx[/tex] 78.92%

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The following actions will help people in Cape Town to lessen the water shortage problem.

A drought is described as a moisture deficit relative to the average water availability at a given location and season. A drought is also defined as drier than normal conditions.

Water shortage is becoming an increasing threat in Cape town because of climate change impacts which includes changing rainfall patterns and rising temperatures and increasing water demand.

In summary, the city of Cape town can develop engineering dams and 'importing' water through inter-basin transfer schemes to help in fighting drought.

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Hello..!

¿What is a series circuit?

A series circuit is a connection configuration in which the terminals of devices are connected successively, that is, the output terminal of one device is connected to the input terminal of the next device.

Problem:

In a series connection, three lamps are available L(1), L(2) and L(3). If we take out the L(3) bulb, what happens to each of the other bulbs?

Why does it happen?

This is because the battery voltage is divided between the components, which will therefore have a lower voltage than the battery. This means that the lamps light less when they are in series.

The answer is that if we remove the L(3) lamp, the others stop working.

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[tex]\begin{gathered}\rule{7cm}{0.01mm}\\\texttt{Bons estudos! :D}\\\rule{7cm}{0.01mm}\end{gathered}[/tex]

Answer:

This is because the battery voltage is divided between the components, which will therefore have a lower voltage than the battery.

Hope this helped

Convection is the method which occurs in a refrigerator

Convection is used in a refrigerator's system to remove heat from the freezer and refrigeration compartments and send it outside the appliance. The process of convection involves the transfer of heat through the movement of material, typically a gas or a liquid.

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