under normal conditions, with good brakes, you can bring a car to a controlled stop from 50 m.p.h. in approximately:

The number of people in the world who are suffering from the common cold on any given day is 230,136,986

The common cold, sometimes known as the cold, is an infectious viral disease of the upper respiratory tract that primarily affects the nasal, pharyngeal, sinus, and laryngeal respiratory mucosa. Less than two days after the virus has been exposed, signs and symptoms may start to manifest. These symptoms could include fever, headache, runny nose, sneezing, and coughing. However, certain symptoms can continue up to three weeks. Most people recover in seven to 10 days. Sometimes people with other health issues can get pneumonia.The majority of the more than 200 viral strains that have been linked to the common cold include rhinoviruses, coronaviruses, adenoviruses, and enteroviruses.

From given data, the probability for a person to suffer from a cold on any given day is

   [tex]\frac{2\times7}{365}[/tex]= [tex]\frac{14}{365}[/tex]

Given there are 6 billion people, so [tex]6000000000\times\frac{14}{365}[/tex] = 230,136,986 people per day have a cold.

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a) To make a plot of the Lennard-Jones potential energy function, U(x) = 4ε[(σx)^(12)−(σx)^6], with x in units of 10^(-10)m and U(x) in units of 10^(-23)J, one can use the given values of σ and ε to plug into the equation and then plot the resulting values of U(x) against x.

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8m/s the magnitude of the final momentum of the object

Describe momentum.

Momentum can be viewed as a body's "power" while it is moving, or the amount of force it can exert on another body. Momentum is measured by "mass velocity," which takes into account the fact that it depends on both the speed and direction of the body's motion.

Newton's second law of motion states that a body's rate of momentum change is equal to the net force applied to it. In any inertial frame, momentum is a conserved quantity depending on the frame of reference, which means that if an enclosed system is not exposed to external influences, its total linear momentum is constant.

m = 20kg

Pi = 120kg m/s

J = 40Ns

ΔP = Pf - Pi

40 = Pf - 120

Pf  =  160

Pf = m*vf

vf = 160/20 = 8m/s

Pi = m*vi

vi = 120/20 = 6m/s

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The instantaneous rate of change is the rate change at a single instant, and it is the same as the derivative value change at a specific point.

The tangent line slope is the same as the instantaneous rate of change at a particular location on a graph.It has a curve slope, in other words.

B. D' (6) = 0 is the formula for calculating the instantaneous rate of change of the sea depth at 6 AM in feet per hour.

D (t) = 10 + 4.9 cos (pi/6 * t) is a function.

After 12 am, D is described above as the water's depth, measured in feet.

Which of the following demonstrates how to calculate the instantaneous rate of change in feet per hour for the water depth at 6 am?

Differentiate:

D'(t) is equal to -4.9 sin (t / 6) ( / 6

D'( 6 ) = -4.9 sin ( π ) ( π / 6 )

The fact that

sin ( π ) = 0

so D'( 6 ) = 0

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(a) The x and y component of 6 N are 4.8 N and 3.6 N respectively.

(b) The magnitude of the resultant of the three forces is 1 N.

The direction of the forces is calculated as follows;

θ = arc tan ( Vy / Vx )

θ = arc tan ( 3 / 4 )

θ = 36.87 ⁰

The x and y component of 6 N is calculated as follows;

Fx = 6 cos (36.87 ) = 4.8 N

Fy = 6 x sin ( 36.87 ) = 3.6 N

The sum of all the x component of the three forces = -4 N + 4.8 N = 0.8 N

The sum of all the y component of the three forces = -3 N + 3.6 N = 0.6 N

The resultant force is calculated as follows;

F = √ ( 0.6² + 0.8² )

F = 1 N

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90% of energy may be lost as heat (emitted during respiration), through motion, or in foods that people cannot digest at trophic level.

Energy is lost as metabolic heat when animals from one trophic level are ingested by species from the next level, hence energy diminishes as it goes up the food chain. Energy transmission between trophic levels is quantified by trophic level transfer efficiency (TLTE). The next trophic level's access to energy is determined by the 10% rule. 10% of the energy that is transferred between trophic levels becomes available for the following level. (The shift from the sun to producers is the exception; in this scenario, just 1% of the energy is maintained.)

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The temperature after t hours is given by the equation  T(t) is 2 + 78e-0.5955t

That a piece of pizza that was 80 degrees at the time was put inside a freezer that was 2 degrees at the time. if the pizza cools to 45 degrees in 1 hour, then its temperature after t hours is given by the equation: dT/dt = k(T - 2

Put the variables apart: [1/(T-2)]

dT = kdt

Integrate the two sides as follows: ln l T-2 l = kt + C

ekt + C = l T - 2 l

T - 2 equals eCekt

To obtain T(t) = 2 + Cekt = temperature in t hours, rename eC to C.

2 + Cek(0) = 80 since T(0) = 80.

C = 78

T(t) = 2 + 78ekt

T(1) = 45, therefore 2 + 78ek = 45

78ek = 43

ek = 0.5512821

k = ln(0.5512821) = -0.5955

T(t) = 2 + 78e-0.5955t

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The orbit of the Moon by exploration 35 took 11.5 hours. The mass of the moon is 5 x 1022 kg.

A route that a space-bound object follows around another is known as an orbit. The hemisphere, extraocular musculature, nerves, blood arteries, the conjunctiva apparatus, including adipocytes are all housed within the bony orbits of the skull. The globe is shielded by each orbit, and the supporting tissues enable three-dimensional movement.

A planet or moon's forward speed in space and the gravitational pull of another body located in space, including a big planet or star, are perfectly balanced to form orbits. High Orbit around earth, medium Orbital spaceflight, and low Orbital maneuvers are the three main categories of Earth orbits.

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The orbit of the Moon by exploration 35 took 11.5 hours. The mass of the moon is 5 x 1022 kg.

A route that a space-bound object follows around another is known as an orbit. The hemisphere, extraocular musculature, nerves, blood arteries, the conjunctiva apparatus, including adipocytes are all housed within the bony orbits of the skull. The globe is shielded by each orbit, and the supporting tissues enable three-dimensional movement.

where T is the period of the orbit, a is the semimajor axis of the orbit, G is the gravitational constant, M is the mass of the star (in this case, the Moon), and m is the mass of the planet (in this case, Explorer 35).

We know[tex]T = 11.5 hours = 11.5 hours * 3600 s/hour = 42000 s[/tex], and the semimajor axis of Explorer 35's orbit is the average distance from the Moon to Explorer 35, which we'll call d. The mass of Explorer 35 is much smaller than the mass of the Moon, so we can approximate it as 0.

Plugging in the values and solving for M, we find:

[tex]M = 4 * π^2 * d^3 / (G * T^2) = 4 * π^2 * d^3 / (G * 42000^2) = 4 * π^2 * d^3 / (6.67430 * 10^-11 m^3/kg * 42000^2)[/tex]

Since we don't know the value of d, we can't find an exact value for M, but we can use it to determine which of the given answers is closest to the calculated value.

Based on the given answer choices, the closest value to [tex]M is 5 * 10^22 kg.[/tex]

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The motion of marble at its highest point is best described by the following statements: The stone has a downward acceleration of 9.8 m/s at its highest point.

You divide the amount by the time that it takes you travel this very same distance to calculate velocity, and then users add your directions to it. For instance, if you were traveling west and covered 50 miles in an hour, your speed would be 50 mph westward or 50 miles per hour.

Velocity can be defined as the rate that an object moves in a specific direction. like the pace of a car driving north on something like a highway or the pace of a rocket, for instance after launch, travels. Because the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.

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The average car speed for one round trip on the hill is 45.54 km/hr

The car travels up a hill at the speed of 31 km/h

The car travels down the hill at the speed of 79 km/h

The average speed by the car can be found using the formula,

            S = d/t

where s is the average speed

          d is the total distance covered

          t is the total time taken

The time taken by the car to up a hill is

             t₁ = d /s₁

Let us substitute the known values,

            t₁ = d / 32 x 2

               = d / 64

The time taken by the car to reach the down of the hill is

           t₂ = d/79 x 2

               = d / 158

Thus, the average speed of the car is

          S = d / (d/64 + d/158)

             = 10112d / 222d

            = 45.54 km/hr

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Relativistic kinetic energy turns into classical kinetic energy when traveling at low speeds.Since it takes an endless amount of labor and energy to accelerate a mass to the speed of light, no object with mass can reach that speed.

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Answer:

6. 2/7

Explanation:

It's true

The volume of snow on the lawn is 6331.625 cm³

Volume is the area occupied inside the confines of an item in three dimensions. It is frequently known as the object's capacity. An object's capacity is expressed in terms of volume. The quantity of space filled by a three-dimensional object may also be used to describe volume. The basic equation for volume is length, width, and height, as opposed to the fundamental equation for the area of a rectangular shape, which is length, breadth, and height. For examples, one could use "depth" rather than "height."

The shape of the snow is assumed to be a cube

Therefore, the volume of the snow is the cube of its uniform depth.

Given that,

Uniform depth = 18.5 cm

Volume = (uniform depth)³

Volume = (18.5 cm)³

Volume = 6331.625 cm³

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The minimum height h that will allow a solid cylinder of mass m and radius h = rloop + (m * g) / (2 * π * rcyl)

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The magnitude of the total displacement, in km, is 25.3 km, and  the direction of the displacement, measured in degrees west of north, is 125.76 degrees.

A. The magnitude of the total displacement, in km, is 25.3 km. This is calculated by using the Pythagorean theorem, where a2 + b2 = c2. The first two legs of the displacement are a and b, where a = 6.99 and b = 11.88. So,

a2 + b2 = 6.992 + 11.882

= 162.42 + 140.24 = 302.66.

The square root of 302.66 is 17.36. The third leg of the displacement is c, where c = 7.43. So, the total displacement is 17.36 + 7.43 = 24.79 km. Rounding to the nearest tenth, the magnitude of the total displacement is 25.3 km.

B. The direction of the displacement, measured in degrees west of north, is 125.76 degrees. This is calculated by using the Law of Cosines, where c2 = a2 + b2 - 2ab cos(C). The sides of the triangle are a = 6.99, b = 11.88, and c = 7.43. The angle C is the direction of the displacement, so we can solve for C in terms of a, b

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To solve this problem, we can use the equations of motion for projectile motion. Since the dart is thrown horizontally, we know that there is no vertical velocity and that the only acceleration acting on the dart is gravity, which is 9.8 m/s^2 downward.

The vertical motion of the dart can be described by the equation:

y = y0 + v0t + 0.5at^2

where y is the vertical position of the dart, y0 is the initial vertical position (which is 0 in this case), v0 is the initial vertical velocity (which is also 0), t is the time of flight, and a is the acceleration due to gravity.

To find the time of flight, we can use the horizontal motion of the dart, which is described by the equation:

x = x0 + v0t + 0.5at^2

where x is the horizontal position of the dart, x0 is the initial horizontal position (which is 0), v0 is the initial horizontal velocity (which is 12 m/s), and t is the time of flight.

We know that the horizontal position of the dart is 2.7 m, so we can substitute that into the equation and solve for t:

2.7 = 0 + 12t

t = 2.7/12 = 0.225 seconds

We can then substitute t and a into the vertical motion equation to find the vertical position of the dart:

y = 0 + 0 + 0.5(9.8)(0.225^2)

y = -0.061 m

So the dart hits 0.061 m below the intended target.

B) 1√γg tan−1(√γ/g) v0 is the time taken by the ball to rise to its zenith (maximum height).

As an outcome of collisions among moving objects and the molecules of a fluid like air or water, drag is a force that hinders or resists motion. Even though it inhibits motion like surface friction does, drag only occurs in flowing fluids. Drag is a force acting against the relative movement of any moving object with relative to a surrounding fluid in fluid dynamics. It is sometimes alluded to as fluid friction, air resistance, or another sort of friction.

-(g + γv^2) = dv/dt

=> -gdt = g/γ (dv/ (g/γ+v^2))

integration 0=>t ; vo => 0=>

=> -gt = -√g/γ tan^-1(vo/√gγ)

=> t= 1√γg tan−1(√γ/g) v0

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A ball is thrown upward with an initial velocity vo from the surface of the earth. The motion of the ball is affected by a drag force equal to mγv2 (where, m is mass of the ball, v is its instantaneous velocity and γ is a constant). Time taken by the ball to rise to its zenith (maximum height) is

A) 1√2γg tan−1(√2γ/g) v0

B) 1√γg tan−1(√γ/g) v0

C) 1√γg  sin−1(√γ/g) v0

D) 1√γg ln(1+√γ/g) v0

2.5m/s is their common velocity just after the collision if they move off together.

We refer to the objects as having a common final velocity because after an inelastic collision, the objects stick together. In place of being two distinct objects, they have combined to form one bigger object.

We have given the,

Mass of first truck , m₁ = 500kg

Speed of first truck, u₁ = 4m/s

Mass of second truck, m₂ = 1500kg

Speed of second truck, u₂ = 2m/s

Combined mass of both trucks, m = 1500 + 500 = 2000kg

Using the law of conservation of momentum,

m₁u₁ + m₂u₂ = mv

Combined velocity is,

500 × 4 + 1500 × 2 = 2000 × v

[tex]$\mathrm{ v = \frac{500 \times 4 + 1500 \times 2}{2000} }[/tex]

v = [tex]\dfrac{2000 + 3000}{2000}[/tex]

v = [tex]\dfrac{5000}{2000}[/tex] = 2.5m/s

Thus, 2.5m/s is their common velocity just after the collision if they move off together.

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The ratio requested is answer D.2:1 .In a gravitational field, g, the work required to raise a mass m to a height h is W = mgh.

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For minor displacements, gravity has very little effect on an object's horizontal motion. This suggests that the spin and horizontal are at a little angle and that the horizontal velocity is constant.

Motion is defined as a change in an object's location with respect to time. A book tumbling off a table, water running from a faucet, rattling windows, etc. are examples of motion. In physics, a force is an effect that has the ability to change how an object moves. A mass-containing object's velocity or acceleration can be altered by a force (for example, moving from a condition of rest). Force can also be intuitively described as a push or a pull.

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The complete question is-

when an object effected by gravity on earth is spinning in a non-vertical circle, there is a small angle between the spin of the object and the actual horizontal, explain?

The following best explains why supply of coal should be conserved since it is a source of nonrenewable energy :The conditions of the environment now are different from environment when coal first formed.

Coal is classified as a nonrenewable energy source because it takes millions of years to form and coal contains energy stored by plants that lived hundreds of millions of years ago in swampy forests. Layers of dirt and rock covered the plants millions of years.

According to the U.S. Energy Information Administration, most of the electricity was generated by natural gas, nuclear energy, and coal in 2020. Electricity can also be produced from renewable sources such as wind, hydropower, solar power, biomass, wind and geothermal.

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Note : The question given on the portal is incomplete. Here is the complete question.

Question: Coal is a source of nonrenewable energy commonly used in the united states for the generation of electricity. which of the following best explains why the supply of coal should be conserved since it is a source of nonrenewable energy?

The conditions of the environment now are different from environment when coal first formed.

Coal is not largest source of energy for generating electricity in the world.

Once they exhausted, they can be renewed again for millions of years.

Coal is easy to store.

8 minutes and 20 second is the time it takes to reach earth.

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The force is [tex]\bold{120 \: N}[/tex].

Newton's Second Law states that the resultant force acting on a body is equal to the product of the mass of this body times the acceleration it acquires.

We represent Newton's 2nd Law with the following formula:

[tex]\boxed{\bold{{F=m~ \cdot~a}}}[/tex]

Solution of the exercise:

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\displaystyle\text{$\mathrm{ \bold{F}= \bold{m}~ \cdot~ \bold{a}\left\{\begin{matrix}\displaystyle\text{$ \rm{ \bold F=? \: \bold{N}}$}\\\displaystyle\text{$\rm \bold{{m=60kg}}$}\\\ \: \displaystyle\text{$\rm{ \bold{a=2 m/s^{2} }}$} \end{matrix}\right.}$}\\\\\\\\ \: \displaystyle\text{$\rm{ \bold{F=60~\cdot~2}}$}\\\\\\\\ \boxed{\displaystyle\text{$\rm{ \bold{F=120~N.} }$}}\end{gathered} \end{gathered}\end{gathered}[/tex]

∴ The force is [tex]\bold{120 \: N}[/tex].

Answer: Therefore, the force exerted by the elevator floor under that man's feet is 120 Newtons.

Explanation:

A 60 kg man is going to use an elevator that will transport him upwards with an acceleration of 2 m/s². What is the force exerted by the floor of the elevator under the feet of that man?​

Data:

m = 60 kg

a = 2 m/s²

F = ?

The formula for Newton's second law is:

Where

Since we must calculate the force, it is not necessary to solve the formula. We substitute data and solve, then

F = 60 kg × 2 m/s²

F = 120 Newton

Therefore, the force exerted by the elevator floor under that man's feet is 120 Newtons.

Option C: Depending on what element of heritability is being examined x is the mid-parent trait value and y is the offspring trait value.

How effectively genetic variations in humans explain variations in their attributes is determined by their heritability. In addition to mental illnesses like schizophrenia and autism spectrum disorder, traits can also include physical qualities like height, eye color, and IQ. How much of the variation in a particular characteristic may be ascribed to genetic variation is known as heritability, which is a statistical concept (represented by the symbol h2) in science. An estimate of a trait's heritability pertains to a single population in a single environment, and it can alter over time as conditions change.

Between 0 and 1 heritability estimates are given. A heritability close to zero means that environmental variables account for practically all of the variation in a characteristic among individuals.

The correct question is:

identify the graph(s) below in which the slope of the line provides an estimate of the heritability value for a trait?

A.The mean value for the parents and offspring combined

B.The average of the offspring and the average of the parents

C.It depends on what aspect of heritability is being measured

D.One parent and one offspring

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The power (in watts) generated by the man, given that he lifts a 19 Kg barbell 0.6 m above his head in 0.5 sec is 223.44 W

Power can be defined as the rate at which work is done. The mathematical representation of power is given below:

Power (P) = work (W) / time (t)

But

Work = mass (m) × acceleration due to gravity (g) × height (h)

Therefore,

P = mgh / t

Using the above formula, we can obtain the power generated by the man as follow:

P = mgh / t

P = (19 × 9.8 × 0.6) / 0.5

P = 111.72 / 0.5

P = 223.44 W

Thus, we can conclude that the power generated is 223.44 W

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The pie graphs would show the number of undecayed Po-211 atoms in each case.

Half life is defined as  the time that it takes for half of the original value of some amount of a radioactive element to decay.

Given, half-life of Po-211 is 500 ms

At t = 0.5s (500 ms), 50 atoms of Po-211 will have decayed, leaving 50 atoms remaining.

And at t = 1.0s, 25 atoms of Po-211 will have decayed, leaving 25 atoms remaining ; At t = 1.55s, 12.5 atoms of Po-211 will have decayed, leaving 12.5 atoms remaining ; At t = 2s, 6.25 atoms of Po-211 will have decayed, leaving 6.25 atoms remaining.

So, the pie graphs would show the number of undecayed Po-211 atoms in each case.

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While kinetic stability is the stability of a system's greatest energy state, thermodynamic stability refers to the stability of the system's lowest energy state.

The thermodynamic perspective focuses on the amount of energy needed for chemical events to occur. The kinetic perspective, on the other hand, is concerned with the amount of time needed for the aforementioned phenomena to occur. When it comes to the stability of a compound, these viewpoints are complementary to one another: a system is said to be thermodynamically stable when it is found to be at its lowest energy level or in chemical equilibrium with its surroundings - the activation energy to change the system is high and the reaction does not happen spontaneously. A stable system will react much more slowly than an unstable one in terms of kinetics; similarly to thermodynamics, the reaction does not happen on its own.

Toluene nitration at 0 degrees celsius is an illustration of kinetic control in action. A direct reflection of the rate of product production is the distribution of the products (orto-, 61,5%; meta-, 1,5%; para-, 37,0%). It is feasible to comprehend the thermodynamic rule in another toluene reaction (the Friedel-Crafts alkalation) where the proportion of various products created over time reflects the greater stability of each product rather than the passage of time. Time controls how the reaction starts, and energy controls how the entire reaction works.

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The temperature changes at a rate modeled by the fnction Change in temp in Celcius between midnight and 6:00am.

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Yes, it is true to say that a planet with an albedo of 30% will reflect 30% of its energy back into space.

The planetary albedo is the percentage of incoming solar energy that Earth scatters back into space. The processes that control the magnitude, distribution, and variability of this reflected energy are fundamental to the Earth's energy balance and have a significant impact on both climate and climate change. The earth's planetary albedo is the proportion of radiant energy that is reflected back into space. The atmospheric component accounts for 88% of the observed global average planetary albedo. Because the atmosphere reduces the surface's impact on planetary albedo by a factor of about three, surface reflection has a relatively small impact on it.Here,

Yes, it is true that a planet's albedo of 30% indicates that 30% of the energy it receives is reflected back into space.

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The impact speed of the ball when it strikes the ground is 28.94 m/s.  The ball is thrown at a speed of 34.2 m/s from the top of a 42.7-m high cliff.

The concept of linear momentum balancing is expressed by the momentum conservation equation. The Cauchy momentum equation and Cauchy's first law of motion are other names for this conservation equation.

An object's impact velocity is the speed at which it strikes another object or the ground.

The impact speed of the ball,

[tex]v=\sqrt{2gh}[/tex]

Where,

v = impact speed (m/s)

g = acceleration due to gravity (9.81 m/s^2)

h = height of the cliff (42.7 m)

[tex]v=\sqrt{2*9.81*42.7}[/tex]

[tex]v=\sqrt{837.774}[/tex]

[tex]v=28.94 m/s[/tex]

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