At Boston's Fenway Park, it is 310 feet (94.5 m) from homeplate to the left field wall The Green Monster which is 30 feet (9.2 m) high. If a batter hits a baseball at an initial height of 0.9 m, given the following velocities, does it clear the wall, hit the wall, or fall short?

If the velocity of x direction is 25 m/s
If the velocity of y direction is 20.5 m/s

Find the maximum height

The height of the bridge is 1796.895 m if an object falls from the bridge and strike the water below with a velocity of 187.82 m/sec.

Velocity of the object, v = 187.80 m/s

Height of the bridge will be

According to the three equations of motion,

1) First equation Velocity - Time relation states that,

[tex]v = u + at[/tex]

here 'a' will be the acceleration due to gravity i.e g = 9.8 [tex]\frac{m}{secx^{2} }[/tex]

'v' = 187.80  m/s

'u' = 0 m/s

therefore,

[tex]t = \frac{v - u}{a}[/tex]

[tex]t = \frac{187.80 - 0}{9.81}[/tex]

t = 19.14 sec

2) Second equation Position - Time relation states that,

[tex]s = ut + \frac{1}{2} at^{2}[/tex]

here 'a' will be the acceleration due to gravity i.e g = 9.8 [tex]\frac{m}{secx^{2} }[/tex]

'u' = 0 m/s

't' = 19.14 sec

[tex]s = 0 + \frac{1}{2} 9.81 *(19.14^{2})[/tex]

s = 0 + 4.905 * 366.34

s = 1796.895 m

The height of the the bridge is 1796.895 m.

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Soldering Stand allows you to provide a clean soldered.

By melting and inserting a filler metal with a lower melting point than the adjacent metal into the joint, two or more objects are connected together by the process of soldering. Soldering doesn't involve melting the work components as welding does.

A hand instrument used in soldering is a soldering iron. In order for the solder to flow into the joint between two workpieces, it needs heat to melt. A hot metal tip and an insulated grip make up a soldering iron.

Soldering stands: Of course, soldering supports are necessary for safety reasons as well as for maintaining the cleanliness of the soldering tip. The soldering iron heats up after a while, so it's crucial to store it safely to prevent any fire disasters.

The tool that allows you to provide clean soldering is a Soldering stand.

The correct option is (d).

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The relation that predicts the velocity, [tex]x(t) = \frac{1}{2} \cdot 4 \cdot {t}^{2} [/tex], gives the velocity at t = 4.5 seconds as 18

The given function for the velocity of the car with time is [tex]x(t) = \frac{1}{2} \cdot 4 \cdot {t}^{2} [/tex]

Comparing the above function with the following equation of motion;

[tex]x(t) = u\cdot t + \frac{1}{2} \cdot a \cdot {t}^{2} [/tex]

We have;

x(t) = The distance traveled after time, t

a = The acceleration = 4

u = The initial velocity = 0

The equation of motion for the velocity as a function of time is; v = u + a•t

Which gives;

v = 0 + 4•t

The velocity of the car at t = 4.5 seconds is therefore;

v = 0 + 4 × 4.5 = 18

The velocity of the car at t = 4.5 is 18

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The strength of the gravitational force between two objects depends on two factors, mass and distance exert on each other. If one of the masses is doubled, between the objects is doubled increases, the force of gravity decreases.

Newton's universal law of gravitation states that the attraction force between any two bodies is proportional to the product of their masses and inversely related to the square of the distance between them.

All objects on Earth experience weight, or a gravitational pull that is proportionate to their mass and is imposed by the planet's mass. A measure of the force of gravity is the acceleration that freely falling objects experience. At the surface of the Earth, gravity accelerates at a rate of about 9.8 meters (32 feet) per second each second.

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Answer:

F = 450N

Explanation:

clockwise stock = anticlockwise stock

F(2m) = 600N(1.5m)

2mF/2m = 900Nm/2m

F = 450N

Therefore the magnitude of the effort from the given diagram is 450N.

35 is the deceleration

Deceleration is described as a reduction in speed as the body advances away from the beginning position. The opposite of acceleration is deceleration. It is written as. Negative acceleration is another name for deceleration. The formula for calculating acceleration is modified by adding a negative sign to calculate deceleration, which is the exact opposite of acceleration. Deceleration will be since deceleration is determined by dividing the change in velocity by time.

Deceleration is equal to -v/t, where v stands for velocity change and t for time.

Since t = 2 s and v = 70 m/s in this instance,

Deceleration equals -70/2 to -35.

35 mph is the deceleration.

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The net force on an object equal to zero When the forces acting on the object are balanced

Option C is correct answer.

Newton's first law states that when the resultant of all forces acting on an object (the net force) is zero, the thing  is in equilibrium. If the thing  is initially at rest, it remains at rest. If it's  initially in motion, it continuously  move with constant velocity.

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It takes the cyclist 4 seconds to slow down.

Considering the acceleration is constant, we know that,

v² - u² = 2 a s

a = Δv / t

Δv  = v - u

where,

v = Final velocity

u = Initial velocity

s = Displacement

Δv = Rate of change of velocity

Given that,

u = 15 m /s

v = 3 m / s

s = 36 m

3² - 15² = 2 * a * 36

-216 / 72 = a

a = - 3 m / s²

a = ( v - u ) / t

- 3 = ( 3 - 15 ) / t

t = 4 sec

Rate of change of velocity is the velocity difference between initial and final velocity. It is denoted as Δv.

Therefore, it takes the cyclist 4 seconds to slow down.

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The graph representing average speed ( s ) vs length ( m ) and square of average speed ( s² ) vs length ( m ) is shown in the image attached below.

The value of time period of three trials each for all three length are given. The average value of all the given time periods are found by using  

s = ( s1 + s2 + s3 ) / 3

Then the average time period is squared. In graph 1, the the length of pendulum ( y-axis ) is plotted against average time period ( x-axis ). In graph 2, the the length of pendulum ( y-axis ) is plotted against square of average time period ( x-axis ).

Therefore, the graph representing average speed ( s ) vs length ( m ) and square of average speed ( s² ) vs length ( m ) is shown in the image attached.

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The mass of an atom is its atomic mass. Although the kilogram is the standard international measurement of mass, the unified atomic mass unit, or dalton, is frequently used to express atomic mass. One Da is equal to one-twelfth of a free carbon-12 atom's mass when it is at rest in the ground state.

Which Noble Gas has the lowest average atomic mass?

Ne; Xe; Ar; He

"He - 4.0026Da"

It is written as a multiple of 1.992646547 1023 gram, or one-twelfth of the mass of the carbon-12 atom, which is given an atomic mass of 12 units. In this scale, 1.660539040 1024 gram is equal to 1 atomic mass unit (amu). In honor of English chemist John Dalton, the atomic mass unit is often known as the dalton (Da).

The total mass of the protons, neutrons, and electrons that make up an atom is a little bit less than the observable atomic mass. According to an equation where the energy (E) released equals the product of the mass (m) consumed and the square of the velocity of light in vacuum (c), the difference, known as the mass defect, is accounted for during the combination of these particles by conversion into binding energy; thus, E = mc2.

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An 80 kg bicyclist is coasting down a long hill that has a 10° slope. The speed that a cyclist has eventually attained is mathematically given as

v = 26 meters per second. or v = 26 m/s

This is further explained below.

Generally, the equation for balancing the equation of Force is  mathematically given as

F1 = F2 + F3

Therefore

F3 = F1 - F2

Where

sinθ = sin(10) = 0.1736

and

cosθ = cos(10) = 0.9848

F1 = m g sinθ

F1=80 x 9.81  x 0.1736

F1= 136.24 N

F2 = μ m g cosθ

F2= 0.02 x 80 kg x 9.81 m/s2 x 0.9848

F2 = 15.46 N

Hence

F3 = F1 - F2

F3= 136.24 N - 15.46 N

F3= 120.78 N

In conclusion, The equation for is  mathematically given as

v = speed reached by a bicyclist

v= ((2 x F3 / (ρ x CD x A)) 0.5

Therefore

v = ((2 x 120.78 N / (1.2041 kg/m3 x 0.85 x 0.35))1/2

v= 25.97 m/s

v = 26 m/s

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Complete Question

An 80 kg bicyclist is coasting down a long hill that has a 10 ∘ slope. His cross-section area is 0.35 m2, his drag coefficient is 0.85, his bicycle's coefficient of rolling friction is 0.02, and the air temperature is 20∘C.

What speed those he eventually reach?

Answer:

a) because book A has a smaller surface area than B and the formula for pressure is Pressure = Force / Area so the smaller the area of contact the larger the pressure exerted on the table.

Explanation:

hope this works :)

One horsepower (hp) is roughly comparable to 746 watts (W) or 0.746 kilowatts (kW). Multiply by 746 to convert from horsepower to watts. Multiply by 0.00134 to convert from watts to horsepower. multiply by 0.746 to convert horsepower to kilowatts.

The units of power, or the amount of energy expended during a time unit, are the watt or horsepower. Your motor can produce 750 W of power, or 750 Joules of energy per second, if it has a 1 HP rating. Power is the pace of energy. When power is given over a period of time, the amount of energy is equal to power * time.

A turbocharger may possibly increase your horsepower by 70–150 hp and works with the exhaust system. A supercharger, which may provide 50–100 horsepower, is directly attached to the engine intake.

Theoretically, a horse power equals around 746 Watt in conventional estimates.

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The best explanation of the energy in the circuit is, the energy in the battery was transformed into electrical energy, light energy, and heat energy.

option A is the correct answer

The law of conservation of energy states that the total energy of an isolated system remains constant, that is the total energy of the isolated system is said to be conserved over time.

According to the law of conservation of energy, energy can neither be created nor destroyed but can be converted from one form to another.

For instance, electrical energy can be converted into heat and light energy, mechanical energy can be converted into electrical energy, and vice versa, chemical energy can be converted into light and heat energy.

Thus, when she finds that the battery no longer has a charge, the best explanation of the energy in the circuit would be the energy in the battery was transformed into electrical energy, light energy, and heat energy.

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Answer:

Explanation:

It's A I got this question wrong twice and I got it correct when I clicked A. Hope this helps!

Answer:

They do exist.

Explanation:

Black holes exist because they could be found almost everywhere maybe there isn't anything inside it but there is many black holes!

Answer: the best evidence is through micro-quasars, also known as x-ray binaries. These objects emit strong x-rays from an Earth-sized region in space.

The element used is of bronze.

Now before we find out how we got the answer as bronze, firstly let us understand about the device we are talking about. That is, spring.

What exactly is a spring?

A spring is defined as a device that changes its shape in response to an external force, returning to its original shape when the force is removed. If we apply force or pressure in this device, it will change its shape but the moment we stop applying force, it will come back to its original state.

This means that this device is made of something flexible. So, the material it is made up of should also be flexible in nature.

How to find out flexibility of spring?

Flexibility of spring can be found as q = f Q, where f is the spring flexibility.

Here, in this question, we are given the mass of element in air and water. This shows a slight comparison between the mass of that particular element in air and water and thus, we get to know it is trying to draw our attention towards density.

Here, we have mass in air and water, thus, we can determine the density.

From these numbers, we can know that the density given is of bronze.

Hence, the element used is Bronze.

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The reactants in a chemical formula is the atoms prior to the chemical reaction, found on the left side of the equation. That is option D.

A chemical formula is defined as the scientific way of representation of chemical compounds either singly or during a chemical reaction.

During a chemical reaction, a chemical formula is made up of a right side and a left side with an arrow at its middle indicating the movement of the energy of the chemical reaction.

The reactants are found located at the left hand side of the chemical formula.

The reactants are made up of elements and compounds which combines to form a new product through the formation of new chemical bonds.

For example in the formation of water,

2H2. + O2. --> 2H2O

Here, Hydrogen and oxygen molecules are the reactants which are seen on the left-hand side of the chemical reaction.

Therefore, The reactants in a chemical formula is the atoms prior to the chemical reaction, found on the left side of the equation.

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Answer: D

Explanation: I took the quick check

When the scientists draw conclusions the scientist find out whether the hypothesis was supported.

A hypothesis is a theory put up to explain a phenomenon. A hypothesis cannot be called a scientific hypothesis unless it can be tested using the scientific process.

Once your experiment is complete, you collect your measurements and analyze them to see if they support your hypothesis.

Scientists frequently discover that their hypotheses and predictions were not supported by the results of their experiments. In these circumstances, they will discuss the results of their experiment before reevaluating their initial theories and predictions in light of the fresh information. The scientific method is essentially restarted in this way. Even if they discover that their theory was correct, they could still wish to verify it once more using a different approach.

The correct option is (a).

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With the use of formula, he car's centripetal acceleration is 0.43 m/s²

Angular velocity is the angle turned by a body per time taken. It is measured in radian per second. That is, rad/s

Given that a race car goes around a level, circular track with a diameter of 1.00 km at a constant speed of 75 km/h. What is the car's centripetal acceleration in m/s²

Centripetal Acceleration a = v² / r

Where

Substitute the two parameters into the equation

a = 20.83² / 1000

a = 434.03 / 1000

a = 0.43 m/s²

Therefore, the car's centripetal acceleration is 0.43 m/s²

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The initial velocity of the keys is 13.17 m/s.

A student tosses her sorority sister, who is in a window 2.30 meters above, a set of keys vertically upward.

The second student catches the key 2.50s later.

We simulate the keys as a particle falling at a steady speed. Assume that the positions of the first and second students are, respectively, y(i) = 0 and y(f) = 2.30m.

Now, we have

The time of flight of the keys is t = 2.50 seconds.

Now, the acceleration is a(y) = -9.8 m/s²

We will use the equation of motion,

y(f) = y(i) + v(yi) × t + ( 1/2 ) × a(y) × t²

v(yi) = [ y(f) - y(i) - ( 1/2 ) × a(y) × t² ] / t

v(yi) = [ 2.3 - 0 - ( 1/2 ) × ( - 9.8 ) × (2.5)² ] / 2.50

v(yi) = [ 2.3 + 30.625 ] / 2.50

v(yi) = 32.925 / 2.5

v(yi) = 13.17 m/s

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app will diagnose a particular disease and suggest the appropriate measures and helps in booking an appointment with the doctor.

Let us assume that self-inventory is a health care application.

It is useful in the domain of health care.

the app will diagnose a particular disease and suggest the appropriate measures and helps in booking an appointment with the doctor.

so this is a computer engineering student's invention he/she can show this in the workplace and can explain them.

this would increase the chances of getting hired.

This also adds to our experience.

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When the mass of the object decreases the weight of the object will decrease.

Newton's universal law of gravitation states that the force of attraction between any two bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their masses.

We know that weight is the product of applied gravitational force and mass.

Therefore, W = M × G

Where W represents the weight of the object, M is the mass of the object, and G is the gravitational force. As a result, it might also mean that "an object's weight is directly proportionate to its mass."

Therefore, a decrease in mass will result in a decrease in the object's weight.

The correct option is (b).

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The complete question is mentioned below:

Which of the following will cause a decrease in an object's weight?

(a) Increase in the mass of the object

(b) Decrease in the mass of the object

(c) Increase in the temperature of the object

(d) Decrease in the temperature of the object

The ball rolling down the hill has an acceleration of 3.5 [tex]m/s^2[/tex].

Acceleration refers to the rate at which an object's velocity with regard to time changes. An object's velocity might alter depending on whether it moves faster or slower or in a different direction.

Given:

Initial velocity, u = 3m/s

Final velocity, v = 34.5m/s

Time, t = 9 seconds

To find:

Acceleration, a = ?

Formula:

v = u + at

Calculations:

a = (v – u) / t

a = (34.5 – 3) / 9

a = 31.5 / 9

a = 3.5 [tex]m/s^2[/tex]

Result:

The acceleration of the rolling ball is 3.5 [tex]m/s^2[/tex].

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[tex]V(bar)=46.33(km/hr).[/tex]

Let's refer to the formula of average velocity.

Formula: [tex]V(bar)=\frac{td}{ct}[/tex], where td is the todal displacement, and ct is the change in time.

Since we're trying to find out the average velocity of the whole event (from time 0 when the car started moving to time 30 minutes when it finished the trip), we must take 30 minutes as our change in time.

Now, we need to find the distance traveled by the car on each instance of speed:

To find the covered distance, use the following formula.

[tex]d=vt[/tex], where "v" is velocity, and "t" is time.

Note. When using this type of formulas, all variables must match units. For example, say that your velocty is on km/hr, this means that the time or distance you input or calculate is going to be on kilometers or hours.

Find the value.

[tex]d=(61(km/h))(10(min))\\ \\d=610 (km).[/tex]

[tex]d=(39(km/h))(20(min))\\ \\d=780 (km).[/tex]

Note. We add up both calculated distances to find the total displacement of the car.

[tex]V(bar)=\frac{td}{ct}\\ \\V(bar)=\frac{610(km)+780(km)}{30(min)}\\ \\V(bar)=46.33(km/hr).[/tex]

The average velocity of the car in Km/h during the trip is 98.37 Km/h

Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:

Velocity = displacement / time

This is the total displacement travelled divided by the total time taken to cover the displacement. Mathematically, it can be expressed as:

Average velocity = Total displacement / total time

Displacement = velocity × time

Displacement = 61 × 0.167

Displacement = 10.187 Km

Average velocity = Total displacement / total time

Average velocity = 49.187 / 0.5

Average velocity = 98.37 Km/h

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The Magnitude of the resultant velocity is given by: Vr = squareroot of the addition of (2002 + 502) = 210m/s at 14.04degrees.

The velocity would be roughly 206.16 m/s at a heading of approximately if the airplane were simply following the wind and not attempting to course correct. A compass reading of 14.04 degrees (0 deg being North, 90 deg being East).

Y axis is north, and X axis is east. The line m=rise (y2-y1)/run (x2-x1) = 200/50 has a slope of 4/1. Since a2 + b2 = c2 on the triangle, 40,000 + 2,500 = 42,500. The hypotenuse of our right triangle, which represents the total distance traveled in one second, is equal to 206.16, which is the sq root of that number.

Now, we can determine the heading using TAN = Opposite / Adjacent (the angle x of the line on our graph). TAN (x) = 50/200 = 0.25 so x = 14.04 degrees, approximately.

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Answer:

B

Explanation:

Gravity

The statement that a teacher sitting in her rolling chair pushes against the wall and moves in the opposite direction exemplifies the third law of motion by Newton.

Newton's third law of motion states that for every action, there is an equal and opposite reaction.

This law describes the nature of a force as the result of a mutual and simultaneous interaction between an object 1 and a second object 2.

According to Newton's third law of motion, whenever two objects A and B interact with each other, they both exert equal but opposite forces upon each other.

Therefore, the statement that a teacher sitting in her rolling chair pushes against the wall and moves in the opposite direction exemplifies the third law of motion by Newton.

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