Questions
or each question show all your working clearly.
A diver, of mass 50 kg, climbs up to a diving
platform 1.25 m high.
a) What is his weight, in N?
b) What is his change in P.E.?
c) Where does this energy come from?
d) He walks off the platform and falls down.
What is his K.E. as he hits the water?
e) What is his speed as he hits the water?

Yes, we can compute by using stokes' theorem always.

By merely knowing information on the values of F along the border of S, Stokes' theorem states that we can compute the flux of curl F across surface S. On the other hand, by converting to a double integral of the curl of F over S, we may get the line integral of vector field F along the edge of surface S.

Let S be an N-unit normalized smooth surface that is orientated. Additionally, let's assume that S has a simple closed curve C as its border. If the surface is constantly on your left while you walk in the positive direction around C while directing your head in the direction of N, then the orientation of S induces the positive orientation of C. In light of this concept, we can say Stokes' theorem as,

[tex]\int\limits^0_c {F.} \, dr = \int\limits^0_s {F.} \, ds[/tex]

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A circular loop of wire carries a constant current. If the loop is placed in a region of the uniform magnetic field, the net magnetic force on the loop is zero.

In an electric loop, the current-carrying wire creates a magnetic field that is perpendicular to the direction of the current.

Now let's suppose there are two diametrically opposite objects as shown in the figure below.

As the current is moving in the opposite direction, therefore, the effect of forces will cancel out each other due to  

dF =i( dl × B ).

It is because the magnetic field is perpendicular to the plane of the loop.

Thus, all forces will cancel out their effect and the net force on the loop will be zero.

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Answer:

In a longitudinal wave, the medium or the channel moves in the same direction with respect to the wave. Here, the movement of the particles is from left to right and forces other particles to vibrate. In a transverse wave the medium or the channel moves perpendicular to the direction of the wave.

Explanation:

The complete table representing the energy description at different stages is

Least Potential Energy                                  [2]

Most Potential Energy                                    [1]

Potential Energy to Kinetic energy               [4]

Kinetic energy to Potential Energy              [3]

Potential energy of a body that is due to its position. To be more precise, the potential energy of a body of mass 'm' at height 'h' will be -

P[E] = mgh

Kinetic Energy of a body is the energy due to virtue of its motion. Mathematically -

K[E] = 1/2 mv²

Given is a image of a roller coaster ride and a table describing the energy magnitude theoretically.

As mentioned, Potential energy of a body that is due to its position and is given by - P[E] = mgh. Let's complete the energy table given -

1 → Location with least potential energy

From the formula -

P[E] = mgh

mg = constant

P[E] [tex]\alpha[/tex] h

Now, the point 2 represents the minimum height, therefore Point 2 is the location with least potential energy.

2 → Location with most potential energy

We know -

P[E] [tex]\alpha[/tex] h

The point with maximum height is 1, therefore it will represented by Point 1.

3 → Conversion of potential to kinetic energy

Assume that the velocity of the roller coaster is v. Now at point 1, the velocity will be zero. Therefore, the total energy of the roller coaster will be purely potential energy. When it starts to move from point 1 to point 4, its height will decrease and its velocity will increase. Therefore - at this stage (point 4), the potential energy will start to convert into kinetic energy.

4 → Conversion of kinetic to potential energy

Use the same concept discussed in part - 3. In this case it is moving from lower point to higher point. So, height will increase and velocity will decrease. Therefore, the point 3 represents the stage at which kinetic energy will start to convert into potential energy.

Therefore, the complete table representing the energy description at different stages is

Least Potential Energy                                  [2]

Most Potential Energy                                    [1]

Potential Energy to Kinetic energy               [4]

Kinetic energy to Potential Energy              [3]

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But the query isn't complete. The hammer traveled 4.26 meters horizontal distance

we have following the given data

Hammer speed is 4 m/s.

30° is the angle the roof makes with the horizontal.

Roof's minimum height above ground is equal to 10 m g/10 m/s2.

Find the hammer's horizontal distance traveled.

Considering the vertical y-direction to establish the Time (t)

s = ut + 1/2at²

-10 = -4×sin30×t + 1/2×10t²

10 = 2t + 5t²

5t² + 2t - 10 = 0 (i)

Resolve equation (i)

t = 1.228  sec

This formula is used to compute the horizontal distance.

4 (cos 30°) t = 4×cos 30×1.228 = 4.26 m

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Answer:

7.39

Explanation:

plug in the right numbers and solve

A bat will take  3.03 s to detect a predator approaching at a distance of 1000m away

The formula and procedure we will use to solve this exercise is:

t = x/v

Where:

Information about the problem:

Applying the time formula from the uniformly rectilinear motion (URM), we have:

t = x/v

t = 1000 m / 330 m/s

t = 3.03 s

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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The best description of velocity is

How far an object has moved the change in rate divided by the....

A baseball bat hits a ball is typical example of opposite reaction force.

Newton's third law states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction.

The third law is also known as the law of action and reaction.

Thus, a baseball bat hits a ball is typical example of opposite reaction force.

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The heat added is 348.165 kj

The enthalpy of vaporization, commonly known as the heat of vaporization or heat of evaporation, is the amount of energy required to turn a liquid material into a gas. The enthalpy of vaporization depends on the pressure at which the transition occurs.

The heat of vaporization varies with temperature, yet for small temperature ranges and decreased temperature ranges, a constant heat of vaporization can be assumed. The heat of vaporization decreases with rising temperature until it totally disappears at a point known as the crucial temperature. The liquid and vapor phases are indistinguishable beyond the critical temperature, and the material is referred to as a supercritical fluid.

Given that;

M = 150g = 0.15kg

T = 75oC

Heat capacity, h =2321.1 kj/kg

Q = m h

Q = 0.15* 2321.1

Q = 348.165 kJ

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282.84m/s is the speed if the tension is halved.  The speed of the wave is doubled since it is related to the square root of the tension.

The wave depends on the following:-

The formula we will use is:-

[tex]$$v=\sqrt{\frac{T}{p}}$$[/tex]

According to the question, the speed of the tension is as follows

Where v Is the speed of the wave, T is the tension In the wire, and [tex]$\rho$[/tex] Is the density of the wire.

when tension is doubled.

[tex]&\mathbf{T}=\mathbf{2} \mathbf{T}_0 \\[/tex]

[tex]$v=\sqrt{\hat{a} \frac{2 T_{\hat{\theta}}}{I}}$[/tex]

[tex]$v=\sqrt{2} \frac{T \hat{a}}{I}$[/tex]

[tex]$v=\frac{2}{\text { vô }}$[/tex]

After calculating, the value of v get,

[tex]$$v=\sqrt{2} * 200$$[/tex]

The value [tex]$\mathrm{v}=282.84 \mathrm{~m} / \mathrm{s}$[/tex].

The correct question is,

The wave speed on a string under tension is 200 m/s. What is the speed if the tension is doubled?

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According to the diameter and thickness of the gold medal, the volume of the gold medal is 8478mm³.

As a gold medal is a cylinder, so the volume of a gold medal (V) = Ah

Where h is the thickness of the medal and A is the area of the medal.

So, A = πr²               Here r is the radius = diameter÷2

V = πr²h                                                   =   60÷2

   = π × 30² × 3                                        = 30

   =8478

So the volume of the gold medal is 8478mm³.

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The acceleration of the car will be -5.68 m/s, and it travels 13.76 m before stopping.

Acceleration is the general term for any process where the velocity changes. There are only two ways to accelerate: either by increasing speed or decreasing direction, or both. The reason for this is that velocity includes both a speed and a direction.

You cannot possibly be accelerating if you don't also change your direction and speed, regardless of how swiftly you are travelling.

It is a vector quantity with m/s² as its SI unit.

According to the question, the given values are :

Initial speed, u=12.5 m/s,

Final speed, v=0 and,

Time, t=2.20 seconds.

Now by using equations of motion :

v= u+at

0=12.5 m/s+a(2.20 s)

a=-12.5/2.20

a= -5.68 m/s

Now distance traveled will be :

v²-u²= 2as

0-(12.5 m/s)²= 2(-5.68 m/s)²×s

s= -156.25/-11.36

s= 13.76 meters.

Hence, the acceleration of the car was -5.68 m/s² and it travelled 13.76 meters before stopping.

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Water flows at a rate of 3.11 kilograms / seconds through a hose with a diameter of 3 centimetres. then the speed of the water in the hose would be 4.40 meters / second.

The total displacement covered by any object per unit of time is known as velocity. The velocity of an object depends on the magnitude as well as the direction of the object.

As given in the problem if Water flows at a rate of 3.11 kg/s through a hose with a diameter of 3 cm.

Area of the hose = πD²/4

                            =3.14*3*3/40000

                            =7.065×10⁻⁴ meter²

The discharge of the water = 3.11/1000

                                              =3.11×10⁻³ meter³

The discharge of the water = area of hose ×velocity

3.11×10⁻³ meter³ = 7.065×10⁻⁴ meter²×velocity

velocity = 3.11×10⁻³ /  7.065×10⁻⁴

             =4.40 metes/ second

Thus,the speed of the water in the hose would be 4.40 metes/ second.

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The property's set accessor is executed, and the value being assigned is contained in the value parameter.

In properties, a get accessor is used to return a property value and a set accessor is used to assign a new value. The value keyword in set accessor is used to define a value that is going to be assigned by the set accessor. In c#, a property is called an auto-implemented property when it contains accessors (get, set) without having any logic implementation. Also, in c#, properties will enable class variables to expose in a public way using get and set accessors by hiding implementation details. These properties are categorized as read-write, read-only, or write-only. It is common for the get and set accessor to be used together in programming.

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By ideal gas approximation, container A has a higher temperature than container B.

We need to know about the ideal gas theory to solve this problem. The ideal gas is assumed that there is no interaction between particles in a gas. It can be determined by the equation

P . V = n . R . T

where P is pressure, V is volume, n is the number of moles gas, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.

From the question above, we know that

PA = PA

nA = 2nB

When the initial and final pressure is the same, we can use the ratio of moles and temperature as

nA / TA = nB / TB

substitute nA

2nB / TA = nB / TB

TA = 2 TB

Hence, container A has a higher temperature than container B.

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Answer:

When the ice melts into water, there is kinetic energy being increased to its particles, later on the particles 'break the bonds' that hold the ice together, which leads to ice turning into water.

This is my best I can answer to this question

Sending the SIGTSTP signal will halt or suspend a running process. kill -TSTP 342; is the command.

What is linux machine?

The local system's distinctive machine ID, which is specified at installation or boot, is stored in the /etc/machine-id file. The machine ID is a single, 32-character, lowercase, hexadecimal ID that ends with a newline. This is equivalent to a 16-byte/128-bit value when decoded from hexadecimal.

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The approximately time that takes to stop the stunt driver once she hit the cushion is: 0.4 s

To solve this exercise, the formulas and procedures to be applied are:

Where:

Information about the problem:

Applying the force formula and isolating the acceleration, we get:

F = m * a

a = F/m

a = -2500 N /50kg

a = -2500 kg * m/s² / 50 kg

a = -50 m/s²

Applying the time formula we get:

t = (vf – vi) / a

t = (0 m/s – 20 m/s) / 50 m/s²

t = (– 20 m/s) / -50 m/s²

t = 0.4 s

It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.

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The speed of the plane at the end of the runway is 59.065 m/s.

The equations of position and velocity in function of time of an object moving in a straight line together  constant acceleration are the following:

x = x₀ + v₀ · t + 1/2 · a · t²

v = v₀ + a · t

Where:

x = position of the plane at time t.

x₀ = initial position.

v₀ = initial velocity.

t = time.

a = acceleration.

v = velocity of the plane at time t.

If we place the origin of the frame of reference at the starting point, then x₀ = 0. Since the plane originate from rest, v₀ = 0. Then, the equation gets reduced to this:

x = 1/2 · a · t²

Let's find how much time it takes a plane to travel 500 m:

500 m = 1/2 · 6.99 m/s² · t²

2 · 500 m / 6.99 m/s² = t²

t = 8.45 s

Now, let's use the equation of velocity to solve the speed of the plane at t = 8.45 s (the time at which the plane is at the end of the runway):

v = v₀ + a · t    (v₀ = 0)

v = a · t

v = 6.99 m/s² · 8.45 s

v = 59.065 m/s

The speed of the plane at the end of the runway is 59.065 m/s.

What happens when electric flux is zero?

This leads us to the Gauss's Law, which says that the electrical flux going through a closed surface, is that the sum of all charges Q inside that closed surface, divided by permittivity of free space E0. If that flux is zero, meaning there is no net charge inside the shape.

What is a electric flux in closed surface?

The net flux through a closed surface is a quantitative measure of the net charge inside a closed surface. 2. the web electric flux through any closed surface surrounding a net charge 'q' is independent of the shape of the surface.

For which surface electric flux will be zero?

The flux of an electrical field through a closed surface will be always zero if and only if there is no net charge in the volume enclosed by the surface. the quantity of electric flux is always proportional to the charges inside the surface

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The change his direction from the intersection where the traffic light is located is 5m in south direction.

The displacement covered by a body per unit time is defined as its velocity. Velocity is a vector quantity that indicates the magnitude of the body's speed as well as the direction in which the body is moving. As a result, the velocity of an object can provide us with the direction of motion of the body.

Acceleration can now be defined as the rate at which an object's velocity changes per unit time. The particle's velocity rises with time in the direction of acceleration. Again, if acceleration is perpendicular to velocity direction, the body moves in a circular route. As a result, acceleration can also indicate the direction of motion of a body.

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Answer:

A mercury-used clinical thermometer has a kink near its bulb because

Explanation:

it helps to slow mercury going back to the bulb and get the accurate temperature.

The properties of Calcium are as follows:

Elements are defined as any substance which cannot be split into simpler units aby a ordinary chemical process.

Elements are the building block of all forms of matter.

Calcium one of the known 118 elements.

In the period table, Calcium has the following properties:

In conclusion, calcium is an element in the periodic table.

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The water in both pots will boil at the same temperature as long as the pressure is consistent. Both pots' water will reach boiling point at the same temperature.

The point at which the pressure that a liquid is subjected to from its environment equals the pressure that the liquid's vapor is subjected to; in this situation, the addition of heat causes the liquid to turn into its vapor without rising the temperature.

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The horse has an acceleration in 2 seconds of: A) 5 m/s/s

The formula and procedure we will use to solve this exercise is:

a = (vf - vi) /t

Where:

Information about the problem:

Applying the acceleration formula we have:

a = (vf - vi) /t

a = (12 m/s - 2 m/s) /2 s

a = (10 m/s) /2 s

a = 5 m/s²

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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The chance that one, and only one, of the dice will land acer is It could boost the river's erosive force and flow rate.

When water from rain, snowmelt, and groundwater is brought to the surface, steam flow starts. Drainage systems are created in a way that effectively removes water from the land. Moving sheetwash, a thin water surface layer, is where streamflow starts. As it descends the sharpest slope, the water begins to erode the surface by forming tiny rill channels. Larger channels form as the rills merge, deepen, and downcut. Headward erosion, often known as rapid erosion, lengthens the channel upslope. Smaller tributaries join a bigger stem stream as neighboring channels merge over time.

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The rubber is stretched and firmly gripped by the nail due to the pressure inside the tire, which prevents air leakage.

The force of all gas particle/wall collisions divided by the surface area of the wall is the definition of pressure (P): One of the fundamental measurable quantities of this phase of matter, pressure is a property shared by all gases. The amount of force applied to a given area is referred to as pressure.

For instance, the weight of the snow divided by the area of the roof would represent the pressure from snow on a roof. Gases are typically where pressure in chemistry comes from. Gas is added to a balloon before it is inflated. Gas molecules collide with one another and the balloon's walls.

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Roman government comprised Members of the military, consuls, magistrates, and senate.

The two consuls, who had taken the king's place, were principally generals tasked with commanding Rome's legions in battle. Rome selected a dictator in lieu of the consuls in times of military necessity, when the unity of command was occasionally required. The dictator, however, could not wield supreme military command for more than six months at a period.

The Senate, which may have existed during the monarchy and acted as the king's advisory council, now provided advice to both magistrates and the Roman populace. Although the Senate simply provided advice and the people were the sole source of authority in theory, in reality, the Senate had tremendous power due to the status enjoyed by all of its members.

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The process of gravitational collapse does not work in the silicon-fusion cycle that produces iron. It is because the iron nuclei do not have sufficient energy and therefore will not produce the additional gas pressure to halt the collapse.

The gravitational collapse process is a process during which astronomical objects such as massive stars contract due to their own gravitational pressure.

The gravitational pull draws the matter to the core of the object thus increasing energy generation which in turn increases the temperature of the central part of the object.

Due to this fundamental process, the old structure collapse, and new structure are formed in the universe.

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Thermal insulators stop the loss of accumulated heat, metal flat plates absorb solar radiation, and tubes absorb solar energy with the least amount of heat loss.

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