If a tube is placed vertically into a container of water, and the water level inside the tube is the same as the water level on the outside, what can we determine about the pressure inside the tube?

The free-fall acceleration on the moon's surface is about 1.58 m/s²

[tex]\texttt{ }[/tex]

Newton's gravitational law states that the force of attraction between two objects can be formulated as follows:

[tex]\large {\boxed {F = G \frac{m_1 ~ m_2}{R^2}} }[/tex]

F = Gravitational Force ( Newton )

G = Gravitational Constant ( 6.67 × 10⁻¹¹ Nm² / kg² )

m = Object's Mass ( kg )

R = Distance Between Objects ( m )

Let us now tackle the problem !

[tex]\texttt{ }[/tex]

Given:

Period of Satellite = T = 110 min = 6600 s

Radius of Moon = R = 1.74 × 10⁶ m

Asked:

free-fall acceleration on the moon's surface = g = ?

Solution:

[tex]\Sigma F = ma[/tex]

[tex]G \frac{ M m} { R^2 } = m \omega^2 R[/tex]

[tex]G \frac { M } { R^2 } = \omega^2 R[/tex]

[tex]g = \omega^2 R[/tex]

[tex]g = (\frac{2 \pi }{ T} )^2 R[/tex]

[tex]g = ( \frac {2\pi} { 6600 } )^2 \times ( 1.74 \times 10^6 )[/tex]

[tex]g \approx 1.58 \texttt{ m/s}^2[/tex]

[tex]\texttt{ }[/tex]

[tex]\texttt{ }[/tex]

Grade: High School

Subject: Physics

Chapter: Gravitational Fields

Answer:

1,500

Explanation:

If it takes 150 Newtons of force to move a box 10 meters, then the work done on the box would be 1500 Joules .

The total amount of energy transferred when a force is applied to move an object through some distance .

The work done is the multiplication of applied force with displacement.

Work Done = Force ×  Displacement

As given in the problem If it takes 150 n of force to move a box 10 meters , then we have to find out  what is work done on the box ,

The work done = 150 × 10

                          = 1500 Joules

Thus , If it takes 150 Newtons of force to move a box 10 meters, then the work done on the box would be 1500 Joules .

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The value of the voltage across the capacitor at the end of three time constants is 5.97 V.

The electric potential energy of a capacitor is the energy stored by it.

It is given that the fully charged capacitor with a voltage of 120 v is discharged through a resistor.

Here, the time T is three times to the time constant. The value at this point, the potential difference around the capacitor, equals the maximum potential.

The voltage across the capacitor at the end of three time constants is,

[tex]V=120\times e^{-3}\\V=5.97\rm \; V[/tex]

Thus, the value of the voltage across the capacitor at the end of three time constants is 5.97 V.

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Answer:6x9.8m/sx2=117.6

Explanation:

Answer: Option D

Explanation: The cellular respiration and photosynthesis both is performed by the plants. The process of photosynthesis can be defined as the process by which the carbon dioxide and sunlight is used by the plants to make food( glucose) and releases oxygen.

This process convert light energy into chemical energy. The product formed is stored in the form of starch.

The cellular respiration breaks down the glucose and provides energy for the cells to do work.

We want to study the vertical motion of a stone, to do it, we will find the motion equations of the stone.

We will find that the average velocity in the given interval is 224 ft/s.

-----------------------------

First, we need to find the acceleration of the stone.

The only force acting on the stone (ignoring air resistance) will be the gravitational force, then the acceleration of the stone will be equal to the gravitational acceleration.

[tex]a(t) = -32ft/s^2[/tex]

To get the velocity equation we need to integrate over time, such that the constant of integration will be equal to the initial velocity, which we know is equal to 400ft/s

Then we get:

[tex]v(t) = (-32 ft/s^2)*t + 400ft/s[/tex]

To get the position equation we integrate again, this time the constant of integration will be the initial position, 10 ft.

[tex]p(t) = (-16ft/s^2)*t^2 + (400ft/s)*t + 10ft[/tex]

Now the average velocity is defined as the quotient between the displacement and the time it took to do that displacement, then the average velocity will be:

[tex]av = \frac{p(8s) - p(3s)}{8s - 3s} \\\\av = \frac{( (-16ft/s^2)*(8s)^2 + (400ft/s)*8s + 10ft) - ((-16ft/s^2)*(3s)^2 + (400ft/s)*3s + 10ft)}{5s} = 224 ft/s[/tex]

Thus the average velocity in that interval is 224 ft/s

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Final answer:

To find the average velocity of a stone launched from a slingshot between 3 and 8 seconds, calculate the positions at both times using the given formula and then divide the change in position by the time interval. The average velocity is found to be 224 ft/s.

Explanation:

The question involves calculating the average velocity of a stone launched from a slingshot over a given time interval. Using the formula for the position of an object moving under constant acceleration, s(t) = s0 + v0t - 1/2gt², where s0 is the initial position, v0 is the initial velocity, g is the acceleration due to gravity (32 ft/s²), and t is the time in seconds, we can find the position of the stone at 3 seconds and 8 seconds. Substituting the given values into the formula, we get:

Position at 3 seconds: s(3) = 10 + 400(3) - 1/2(32)(3²) = 10 + 1200 - 144 = 1066 ft.

Position at 8 seconds: s(8) = 10 + 400(8) - 1/2(32)(8²) = 10 + 3200 - 1024 = 2186 ft.

The average velocity over the interval [3, 8] is calculated as the change in position divided by the change in time, which is (2186 - 1066)/(8 - 3) = 1120/5 = 224 ft/s.

Construction lines are essential for maintaining the accuracy and integrity of designs in fields like engineering, architecture, and mapping. Erasing such lines can lead to misunderstandings and inaccurate representations, potentially causing disastrous outcomes in the physical construction or interpretation of structures and mappings.

Construction lines should not be erased because they serve as foundational elements for a design, representing the initial guidelines that contribute to the final drawing or structure. For example, in topographic map interpretation, contour lines are crucial as they indicate the elevation and shape of the terrain, and erasing them would eliminate critical information required for understanding landform shapes and gradients. Similarly, when engaging in geological mapping, one must ensure that a geologic trace does not cross a topographic contour except where the structural and topographic contours intersect, preserving the accuracy of geological interpretations.

Moreover, the principles of geometry are deeply rooted in the correct understanding and depiction of lines and spaces. As in engineering and architecture, where accurate measurements and representations are foundational to the construction process, any disruption or erasing of essential lines can lead to disastrous outcomes, undermining the integrity of the structures being designed or built. Thus, construction lines must be preserved to maintain a clear and accurate representation of designs, allowing for their proper understanding, interpretation, and implementation.

Answer:

It is Telurium

Explanation:

This element since belong to the family VI A in the periodic table, the charge -2 is the most common of these elements. Also, its color is silver - white, because is a metalloid has luster (a property of metals) and is very brittle ( a property of non-metals). Its symbol is Te.

Serbian-American engineer and physicist Nikola Tesla (1856-1943) made dozens of breakthroughs in the production, transmission and application of electric power.

He invented the first alternating current (AC) motor which is used all over the world in business, factories and power plants.

He developed AC generation and transmission technology that we still have as the main form of delivering power to all consumers nowdays.

A motorcycle turning around a corner is not in a state of equilibrium. So, option 2 is correct.

The state of equilibrium of an object is defined as its condition in which all the external forces acting on it are balanced. The state where Newton's first law is valid.

Here,

The state of equilibrium means that Newton's first law is valid in the situation.

That means the net force acting on an object in equilibrium will be zero.

Case-1

A racecar maintaining a constant velocity.

Here, the racecar is moving with a constant velocity. That means it will not accelerate. So, the acceleration of the racecar will be zero. Hence, the net force acting on it is also zero. Therefore, it is in equilibrium.

Case-2

A motorcycle turning around a corner.

When the motorcycle turns around a corner, it will follow a circular motion and as a result, there will be centripetal force experienced by the motorcycle. As a result, the direction of the velocity changes. Therefore, the motorcycle will not be in a state of equilibrium.

Case-3

A chandelier hanging from the ceiling

Since, the chandelier is hanging from the ceiling and it does not fall, it means that the gravitational force becomes balanced by the tension in the rope. Hence, it is under equilibrium.

Case-4

A hot-air balloon floating with a constant velocity while maintaining its height.

In this case, the hot air balloon is floating at the height due to the force of buoyancy. Since, the balloon is moving with a constant velocity, there is no acceleration and hence zero net force. So, it is in equilibrium.

Hence,

A motorcycle turning around a corner is not in a state of equilibrium.

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Answer:ultraviolet radiation

Explanation:answer for A P E X

Answer:

the answer is 0

Explanation:

The acceleration of a car that maintains a constant velocity of 100 km/h for 100s is zero. Acceleration is a change in velocity. Thus, if velocity is constant, that means there is no change and velocity stays the same.

Because there are fewer air molecules pushing back as the pump removes air from the well, the pressure outside the well has a greater impact. The amount of water that could be pushed up the pipe by the pressure being applied to it would be insufficient.

A mechanical device called a pump is used to move various fluids from one place to another. It is a hydraulic device that transfers fluids from low to high pressure and from low to high levels of elevation.

The pump moves fluid by transforming the mechanical energy of the fluid into pressure energy (hydraulic energy).

Processes requiring high hydraulic pressure can also use the hydraulic pump. With the aid of large machinery, it may be seen. In general, heavy machinery requires high discharge pressures and low suction pressures.

Therefore,Because there are fewer air molecules pushing back as the pump removes air from the well, the pressure outside the well has a greater impact. The amount of water that could be pushed up the pipe by the pressure being applied to it would be insufficient.

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The variety of species in an ecosystem is known as biodiversity.

All of the species that interact with one another, as well as the physical habitat in which they live, make up an ecosystem.

Biodiversity, or biological diversity, refers to the variety and variability of life present on earth. It is a measure of genetic, species, and ecosystem variation on earth.

Biodiversity conservation refers to the preservation and management of biodiversity in order to gain resources for long-term development.

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The line graph of speed versus time for an object pulled into the sun would be a curved line that slopes upward, indicating continuously increasing speed due to increasing gravitational force.

When an object is pulled into the sun by gravity, the gravitational force increases as it gets closer to the sun. This results in the object accelerating more as it approaches. Therefore, a line graph plotting the speed of the object against time would display a curved line that slopes upward. This curve represents the object's continuously increasing speed over time due to the increasing gravitational pull.