The velocity on the narrow side is 11.6 m/s. This is the velocity of the water in the narrow part of the pipe.
How to find velocity ?To find the velocity of the water where the pipe is narrow, you can use the formula for the mass flow rate, which is given by:
Mass flow rate = Density * Flow rate
= Density * (Area * Velocity)
Where:
Density is the density of the fluid
Flow rate is the volume flow rate, or the rate at which volume flows through the pipe
Area is the cross-sectional area of the pipe
Velocity is the velocity of the fluid
The mass flow rate is constant, so you can set the mass flow rate on either side of the constriction equal to each other and solve for the velocity on the other side.
The cross-sectional area of the pipe on the narrow side is given by the formula for the area of a circle:
A = pi * r^2
Where:
A is the cross-sectional area of the pipe
r is the radius of the pipe
The radius of the pipe on the narrow side is 3 cm / 2 = 1.5 cm. Plugging this value into the formula for the cross-sectional area, you get:
A = pi * (1.5 cm)^2
= 7.07 cm^2
The cross-sectional area of the pipe on the wide side is given by the same formula, with a radius of 6 cm / 2 = 3 cm:
A = pi * (3 cm)^2
= 28.27 cm^2
Since the mass flow rate is constant, you can set the mass flow rates on either side of the constriction equal to each other and solve for the velocity on the other side:
(Density * 7.07 cm^2 * v) = (Density * 28.27 cm^2 * 8 m/s)
Solving for v, the velocity on the narrow side, you get:
v = (Density * 28.27 cm^2 * 8 m/s) / (Density * 7.07 cm^2)
= 11.6 m/s
The final value for the velocity on the narrow side is 11.6 m/s. This is the velocity of the water in the narrow part of the pipe.
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A disk of mass 3.0 kg and radius 80 cm is rotating at 1.9 rev/s. A small mass of 0.06 kg drops onto the edge of the disk. What is the disk's final rotation rate (in rev/s)? ______ rev/s
The disk's final rotation rate is 1.9 rev/s.
The disk's final rotation rate can be determined by considering the principle of conservation of angular momentum. Initially, the angular momentum of the system is given by the product of the moment of inertia of the disk and its initial rotation rate. When the small mass drops onto the edge of the disk, the total angular momentum of the system remains conserved.
The moment of inertia of the disk can be calculated using the formula I = (1/2) * m * r^2, where m is the mass of the disk and r is its radius. Substituting the given values, we find I = (1/2) * 3.0 kg * (0.80 m)^2 = 0.96 kg·m^2.
The initial angular momentum of the system is given by L_initial = I_initial * ω_initial, where ω_initial is the initial rotation rate of the disk. Substituting the values, L_initial = 0.96 kg·m^2 * (1.9 rev/s).
When the small mass drops onto the disk, its angular momentum is added to the system. Since the small mass is dropped onto the edge of the disk, it will have a moment arm equal to the radius of the disk. The angular momentum of the small mass can be calculated as m * r * v, where v is the velocity at which the small mass is dropped.
Now, assuming the small mass drops without any horizontal velocity (v = 0 m/s), the angular momentum of the small mass is given by L_small mass = 0.06 kg * (0.80 m) * 0 m/s = 0 kg·m^2/s.
The total angular momentum of the system after the small mass drops onto the disk is L_total = L_initial + L_small mass. To find the final rotation rate, we divide the total angular momentum by the moment of inertia of the system, i.e., ω_final = L_total / I.
Substituting the values, ω_final = (L_initial + L_small mass) / I = (0.96 kg·m^2 * (1.9 rev/s) + 0 kg·m^2/s) / 0.96 kg·m^2 = 1.9 rev/s.
Therefore, the disk's final rotation rate is 1.9 rev/s.
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Marking as brainliest last attempt
(ZOOM IN THE PHOTO)
write a paragraph about the topic : bullying in schools
Answer:
Bullying in the schools has negative effects on individual students and on the school climate as a whole. Bullying can cause long-term problems for both the victims of bullying and the bullies themselves. To explore the effects of bullying on adolescents, we will define bullying, identify the characteristics of bullies and victims, outline the extent and consequences of bullying, and present resources for further information and assistance.
Bullying is any behavior that is initiated by one or more students against a victim or victims that causes physical or psychological intimidation. Bullying behaviors can be classified as either direct (such as teasing, threatening, hitting, or stealing) or indirect (such as rumor spreading or social isolation). Boys typically employed direct methods of bullying, while girls tend to use in direct methods. Either way, behaviors must occur repeatedly overtime to be classified as bullying.
Characteristics of Bullies and Victims
There are specific behaviors that bullies tend to exhibit. The bullies often need to feel powerful and in control. They may feel no remorse when they inflict injury and suffering on others. Bullies tend to defy authority and are likely to break school rules. They seem to have little anxiety and appear to possess high self-esteem. Students who come from homes characterized by physical punishment tend to be more likely to exhibit these types of behaviors.
Victims also tend to exhibit specific characteristics. They are often anxious, insecure, cautious, and have low self-esteem. Victims tend to be socially isolated, and may lack social skills and friends. Because they tend to be weaker than their peers, either physically or socially, victims rarely retaliate against bullies. Students who have close ties with their parents/guardians or who have overprotective parents/guardians are more likely to be victimized by bullies.
A large ruby has a mass of 12.040 carats (1 carat = 200.0 mg). Rubies are made of a crystalline form of Al2O3.
A) What percentage of the mass of the ruby is aluminum?
B) How many atoms of aluminum are in this ruby?
C) The density of rubies is 4.02 g/cm3. What is the volume of the ruby?
72.52% of the mass of the ruby is aluminum.
There are approximately 4.013 × 10^22 atoms of aluminum in the ruby.
The volume of the ruby is approximately 0.599 cm^3.
A) The molar mass of Al2O3 is 101.96 g/mol, which corresponds to 2 moles of aluminum (Al) and 3 moles of oxygen (O). So, the mass of aluminum in 12.040 carats of ruby is:
m_Al = 2 × (26.98 g/mol) × (12.040 carats × 200.0 mg/carat / 1000.0 mg/g)
m_Al = 1.747 g
The mass of the ruby is:
m_ruby = 12.040 carats × 200.0 mg/carat / 1000.0 mg/g
m_ruby = 2.408 g
So, the percentage of the mass of the ruby that is aluminum is:
%_Al = (m_Al / m_ruby) × 100%
%_Al = (1.747 g / 2.408 g) × 100%
%_Al = 72.52%
B) The number of atoms of aluminum in the ruby can be calculated from the mass of aluminum and Avogadro's number (N_A = 6.022 × 10^23 mol^-1):
n_Al = m_Al / (26.98 g/mol) × N_A
n_Al = 1.747 g / (26.98 g/mol) × (6.022 × 10^23 mol^-1)
n_Al ≈ 4.013 × 10^22 atoms
C) The volume of the ruby can be calculated from its mass and density:
V_ruby = m_ruby / ρ
V_ruby = 2.408 g / 4.02 g/cm^3
V_ruby = 0.599 cm^3
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Two joggers run at a constant velocity of 7.5 m/s to the east. At t=0s one jogger is 15 m east of the origin, the other is 15 m west of the origin. How would their position-time graphs look different?
The position-time graphs of the two joggers will look like a rectangle at the given time period.
What is position time graph?A position time graph is a type of graph in which the position x of a particle is plotted on the y-axis and the time t on the x-axis.
The position time graph of the two jogger can be sketched as follows;
| | |
| | |
| | |
|-----------------------------------------|----------------------------------------|
15 m(west) 15 m(east)
The position of both joggers will be same after the given time but their direction will be different.
Thus, the position-time graphs of the two joggers will look like a rectangle at the given time period.
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An electron and a proton are held on an x axis, with the electron at x = + 1.000 m
and the proton at x = - 1.000 m . If a second electron is initially at x = + 20.00 m on the x axis and is given an initial velocity of 450 m/s towards the origin, will it reach and origin? And how close will it get to the origin if it doesn't?
Answer:
r2 = 1 m
therefore the electron that comes with velocity does not reach the origin, it stops when it reaches the position of the electron at x = 1m
Explanation:
For this exercise we must use conservation of energy
the electric potential energy is
U = \(k \frac{q_1q_2}{r_{12}}\)
for the proton at x = -1 m
U₁ =\(- k \frac{e^2 }{r+1}\)
for the electron at x = 1 m
U₂ = \(k \frac{e^2 }{r-1}\)
starting point.
Em₀ = K + U₁ + U₂
Em₀ = \(\frac{1}{2} m v^2 - k \frac{e^2}{r+1} + k \frac{e^2}{r-1}\)
final point
Em_f = \(k e^2 ( -\frac{1}{r_2 +1} + \frac{1}{r_2 -1})\)
energy is conserved
Em₀ = Em_f
\frac{1}{2} m v^2 - k \frac{e^2}{r+1} + k \frac{e^2}{r-1} = k e^2 (- \frac{1}{r_2 +1} + \frac{1}{r_2 -1})
\frac{1}{2} m v^2 - k \frac{e^2}{r+1} + k \frac{e^2}{r-1} = k e²( \(\frac{2}{(r_2+1)(r_2-1)}\) )
we substitute the values
½ 9.1 10⁻³¹ 450 + 9 10⁹ (1.6 10⁻¹⁹)² [ \(- \frac{1}{20+1} + \frac{1}{20-1}\) ) = 9 109 (1.6 10-19) ²( \(\frac{2}{r_2^2 -1}\) )
2.0475 10⁻²⁸ + 2.304 10⁻³⁷ (5.0125 10⁻³) = 4.608 10⁻³⁷ ( \(\frac{1}{r_2^2 -1}\) )
2.0475 10⁻²⁸ + 1.1549 10⁻³⁹ = 4.608 10⁻³⁷ \(\frac{1}{r_2^2 -1}\)
\(\frac{2.0475 \ 10^{-28} }{1.1549 \ 10^{-37} } = \frac{1}{r_2^2 -1}\)
r₂² -1 = (4.443 10⁸)⁻¹
r2 = \(\sqrt{1 + 2.25 10^{-9}}\)
r2 = 1 m
therefore the electron that comes with velocity does not reach the origin, it stops when it reaches the position of the electron at x = 1m
A 600 W electric heater is connected to a 120 V source. Calculate its current.
Question :-
A 600 Watt electric heater is connected to a 120 Volt source . Calculate its Current .Answer :-
Current is 5 Ampere .Explanation :-
As per the provided information in the given question, we have been given that the Power is 600 Watt , Voltage is given as 120 Volt . And, we have been asked to calculate the Current .
Now, for calculating the Current , we will use the Formula :-
\( \bigstar \: \: \boxed{ \sf{ \: Current \: \: = \: \: \dfrac{ \: Power \: }{Voltage} \: }} \\ \)
Therefore, by Substituting the given values in the above Formula :-
\( \dag \: \: \: \sf {Current \: \: = \: \: \dfrac{\: Power \:}{Voltage}} \\ \)
\( \longmapsto \: \: \sf {Current \: \: = \: \: \dfrac {\: 600 \:}{120}}\)
\( \longmapsto \: \: \bf {Current \: \: = \: \: 5 \: Ampere} \)
Hence :-
Current = 5 Ampere .\( \underline {\rule {89pt}{4pt}} \: \: \underline {\rule {89pt}{4pt}} \)
Calculate the rate constant, k, for a reaction at 69.0
∘
C that has an activation energy of 81.7 kJ/mol and a frequency factor of 4.56×10
11
s
−1
. k=
The rate constant (k) for the reaction at 69.0 °C is approximately 4.38 × 10^8 s^(-1).
To calculate the rate constant (k) for a reaction, you can use the Arrhenius equation:
k = Ae^(-Ea/RT)
Where:
k = rate constant
A = frequency factor
Ea = activation energy
R = gas constant (8.314 J/mol·K)
T = temperature in Kelvin
First, convert the given temperature from degrees Celsius to Kelvin:
T = 69.0 + 273.15 = 342.15 K
Substitute the given values into the Arrhenius equation:
k = (4.56 × 10^11 s^(-1)) * exp(-81.7 kJ/mol / (8.314 J/mol·K * 342.15 K))
Calculating this expression gives:
k ≈ 4.38 × 10^8 s^(-1)
Therefore, the rate constant (k) for the reaction at 69.0 °C is approximately 4.38 × 10^8 s^(-1).
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explain how the gravitational potential energy of an object can be changed.
Answer:
Change in Potential energy, pe = Final potential energy - Initial potential energy
Explanation:
∆p.e = Final p.e - Initial p.e
From the equation ∆p.e = (mgh) final - (mgh) initial
A cell has an emf of 4.0 V and an internal resistance of 2.0 Ω. The ideal voltmeter reads 3.2V. What is the resistance of R? A. 0.8Ω
B. 2.0Ω
C. 4.0Ω D. 8.0Ω
The resistance of R a cell has an emf of 4.0 V and an internal resistance of 2.0 Ω is 0.8 Ω.
This can be calculated using Ohm's law, which states that the voltage (V) across a resistor is equal to the current (I) multiplied by the resistance (R): V = I x R. Since the ideal voltmeter reads 3.2V, rearranging and solving for R gives R = V/I = 3.2V/4.0A = 0.8Ω. Ohm's law states that the voltage (V) across a resistor is equal to the current (I) multiplied by the resistance (R): V = I x R. This means that if you know the voltage and the resistance, then you can calculate the current, and vice versa. Ohm's law is a fundamental law in electrical engineering and is used to calculate resistance, current, and voltage in electrical circuits.
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what name is given to cultures for identification of organism, as well as the identification of sensitivities of the organisims to antibiotics
The name given to cultures for the identification of organisms and the identification of sensitivities of the organisms to antibiotics is known as microbiological culture and sensitivity testing. Microbiological culture involves the growth and isolation of microorganisms from a sample, while sensitivity testing involves exposing these microorganisms to various antibiotics to determine which ones they are susceptible or resistant to.
This type of testing is essential in the field of medicine as it helps healthcare professionals choose the most effective antibiotic treatment for bacterial infections. Microbiological culture and sensitivity testing can also help identify the specific type of microorganism causing an infection, which is crucial in determining the appropriate treatment plan. Moreover, culture and sensitivity testing may vary depending on the laboratory's specific practices and procedures, which may be influenced by different sensitivities and cultures for identification. In summary, microbiological culture and sensitivity testing are vital tools in identifying bacterial infections and selecting the appropriate antibiotic therapy.
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a voltmeter connected between two plates registers 26 V the plates are 0.022 m apart what is the field intensity between the plates
The electric field intensity between the two plates is 1181.81 V/m.
What is electric field?An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. It can also refer to a system of charged particles' physical field.
the electric potential difference between two plates: V = 26 V.
Separation between two plates = 0.022 m
Hence, electric field intensity between the plates = ( 26 V ÷ 0.022 m)
= 1181.81 V/m.
So, the electric field intensity between the two plates is 1181.81 V/m.
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What do most ancient ruins have to do with Astronomy/Space?
They accurately show star positions
They demonstrate the number of galaxies in the Universe
The are usually aligned with the motion of the Sun
The are usually aligned with the motion of the Sun.
option C.
What do most ancient ruins have to do with Astronomy/Space?Many ancient ruins are aligned with astronomical phenomena and the motion of celestial bodies. This indicates that ancient cultures had a strong interest in and understanding of astronomy and its connection to the natural world.
For example, the ancient Egyptian pyramids at Giza are aligned with the cardinal directions and certain stars, such as the star Sirius. The Mayan city of Chichen Itza in Mexico has a famous pyramid known as El Castillo, which has specific alignments with the sun during the equinoxes and solstices. Stonehenge in England is another famous example, with the stones aligned to the movements of the sun, moon, and stars.
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as you heat a piece of wood on a fire, the temperature of the wood increases. what does this tell you?
a. the molecules in the wood are vibrating faster
b. the total thermal energy of the wood is decreasing
c. the chemical energy of the wood is increasing
d. the molecules in the wood are vibrating more slowly
Answer:
A.
Explanation:
I remember this one from my science class.
The molecules in the wood are vibrating faster .
What is Heating?During heating, the temperature of any object or substance increases. This cause the particles to move faster as they gain kinetic energy which leads to an increase in the collision rate as well as diffusion.
Heat is the result of the movement of kinetic energy within a material or an item, or from an energy source to a material or an object. Radiation, conduction, and convection are the three mechanisms through which such energy can be transferred.
The International System of Units (SI) defines the calorie (cal) as the standard unit of heat. The cal measures the amount of energy transfer needed to raise the temperature of one gram of pure liquid water by one degree Celsius, provided that the water is above the freezing point and below the boiling point.
Therefore, The molecules in the wood are vibrating faster .
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A body is positively charged, it implies that:
a. there is only a positive charge in the body
b. there is positive as well as negative charge in the body but the positive charge is more than negative charge
c. there is equally positive and negative charge in the body but the positive charge lies in the outer regions
d. the negative charge is displaced from its position
When a body is positively charged, it implies that there is positive as well as negative charge in the body but the positive charge is more than negative charge.
Most of the materials that make up our world are composed of atoms, which are made up of a nucleus containing protons and neutrons surrounded by electrons. When an atom loses or gains electrons, it becomes positively or negatively charged, respectively. This is because the number of protons in an atom, which determines its atomic number and chemical properties, does not change.
When there are more protons than electrons, the atom becomes positively charged, and when there are more electrons than protons, it becomes negatively charged.Positive charge is the property of a material that has lost one or more electrons and therefore has more protons than electrons. Positive charges repel other positive charges, while negative charges attract positive charges.
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Compared with dim light, what do light waves that look bright tend to have the subject just says science but the picker doesn't have that
Answer:
The brightness of a light depends on the amplitude of the light wave, which is the extent the waves moves from their equilibrium position. The brightness is also related to the amount of light that is emitted or reflected by an object
Therefore, compared to dim light, light that look bright have a higher amplitude and emit or reflect more light energy (photons)
Explanation:
Type the correct answer in the box. Express your answer to three significant figures. A balloon is filled with 0. 250 mole of air at 35°C. If the volume of the balloon is 6. 23 liters, what is the absolute pressure of the air in the balloon? The absolute pressure of the air in the balloon is kilopascals.
The absolute pressure of the air in the balloon is approximately 392 kPa (to three significant figures).
How to calculate absolute pressure?To find the absolute pressure of the air in the balloon, use the ideal gas law equation:
PV = nRT
where P = pressure, V = volume, n = number of moles, R = ideal gas constant, and T = temperature in Kelvin.
First, convert the temperature from Celsius to Kelvin. The temperature in Kelvin (T) can be obtained by adding 273.15 to the Celsius temperature.
Given:
Number of moles (n) = 0.250 mole
Volume (V) = 6.23 liters
Temperature (T) = 35°C + 273.15 = 308.15 K
Next, rearrange the ideal gas law equation to solve for pressure (P):
P = nRT / V
Plugging in the values:
P = (0.250 mole) × (0.0821 L·atm/(mol·K)) × (308.15 K) / (6.23 liters)
Calculating this expression:
P ≈ 3.862 atm
To convert the pressure from atmospheres to kilopascals, use the conversion factor:
1 atm = 101.325 kPa
Multiplying the pressure by the conversion factor:
P ≈ 3.862 atm × 101.325 kPa/atm
P ≈ 391.628 kPa
Therefore, the absolute pressure of the air in the balloon is approximately 392 kPa (to three significant figures).
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What is the greatest velocity which a falling object can achieve while falling through the air?
A. final velocity
B. terminal velocity
C. initial velocity
D. maximum velocity
Answer:
Terminal Velocity
Explanation:
a pulse covers a distance of 5m in 15seconds . Calculate the sped of the pulse.
According to the question the speed of pulse is = 0.33m/s
What does "speed" in science mean?Velocity is the pace and direction of either an object's movement, whereas speed is now the time rate which an object is travelling along a path. In other words, velocity is a vector, whereas speed would be a scalar value. If you determine how far an object travels in a certain amount of time, you can calculate its speed.For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour .
How is speed measured?The equation for speed can be obtained by simply dividing time by distance.
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What do these two changes have in common? sanding a piece of wood knitting yarn into a scarf
While sanding wood and knitting yarn into a scarf may seem different at first glance, they share commonalities in their process of transformation, requirement for skill and technique, and potential for artistic expression.
Although sanding a piece of wood and knitting yarn into a scarf may seem like two very different activities, they share some commonalities. Firstly, both activities involve transforming a raw material into a finished product. In sanding wood, rough and uneven surfaces are smoothed out to create a polished and refined piece of wood.
Similarly, knitting yarn into a scarf involves taking a raw material and transforming it into a finished product that is functional and aesthetically pleasing. Secondly, both activities require a level of skill and technique to achieve the desired outcome. Sanding wood requires knowledge of the type of wood being sanded, the type of sandpaper to use, and the proper technique for achieving a smooth finish.
Similarly, knitting a scarf requires knowledge of knitting techniques, such as casting on, knitting, purling, and binding off, as well as an understanding of different stitch patterns and tension. Lastly, both activities can be seen as a form of artistic expression. Sanding wood can create unique and intricate patterns in the wood grain, while knitting allows for creativity in color, stitch pattern, and overall design.
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Does anyone just ever question their gender. But you get scared out of wanting and feeling like the opposite gender.
Yeah it feels weird, it gives me goosebumps. Im a boy actually, but when I think my self as a girl it just cringes me. But I also wonder how would my life would change.
A trebuchet fired a tennis ball with an initial velocity. Determine the following
ANSWER
\(\begin{gathered} (a)\text{ }12.61\text{ }s \\ (b)\text{ }194.73m \\ (c)\text{ }608.57\text{ }m \\ (d)\text{ }78.4\text{ }m\/s \end{gathered}\)EXPLANATION
Parameters given:
Initial velocity, v0 = 78.4
Angle of projectile, θ = 52 degrees
(a) To find the flight time of the tennis ball, apply the formula:
\(t=\frac{2v_0\sin\theta}{g}\)where g = acceleration due to gravity
Hence, the total flight time of the tennis ball is:
\(\begin{gathered} t=\frac{2*78.4*\sin52}{9.8} \\ t=12.61\text{ }s \end{gathered}\)(b) To find the maximum altitude of the ball during its flight, apply the formula:
\(H=\frac{v_0^2\sin^2\theta}{2g}\)Therefore, the maximum height attained by the tennis ball is:
\(\begin{gathered} H=\frac{78.4^2*\sin^2(52)}{2*9.8} \\ H=194.73\text{ }m \end{gathered}\)(c) To find the horizontal distance the tennis ball travels, apply the formula:
\(R=\frac{v_0^2\sin2\theta}{g}\)Hence, the horizontal distance traveled by the tennis ball is:
\(\begin{gathered} R=\frac{78.4^2*\sin(2*52)}{9.8} \\ R=608.57\text{ }m \end{gathered}\)(d) To find the final velocity of the tennis ball, apply the formula:
\(v=\sqrt{v_0^2+2h(-g)}\)where h = initial height = 0 m
Hence, the final velocity of the tennis ball just before impact is:
\(\begin{gathered} v=\sqrt{78.4^2+2(0)(-9.8)} \\ v=\sqrt{78.4^2+0}=\sqrt{78.4^2} \\ v=78.4\text{ }m\/s \end{gathered}\)Which statement best describes the relationship between mass and gravitational attraction (pull)?
Answer choices:
The more mass an object has, the greater the gravitational pull.
The less mass an object has, the greater the gravitational pull.
All objects have the same gravitational pull on other objects.
Mass has no effect on gravitational pull.
Answer:
The first option, "The more mass an object has, the greater the gravitational pull. "
Explanation:
Newton's Law of Gravity states that \(F_G=\frac{Gm_1m_2}{r^{2}}\), where G is the gravitational constant, \(m_1\) and \(m_2\) are the masses of the two objects, and r is the distance between the objects' centers. Because the objects' masses are in the fraction's numerator, they are directly proportional to \(F_G\), and increasing the mass of one or both objects increases the gravitational pull.
Please have a great day! I hope this helps you understand the question!
according to physicist LORD KELVIN as cited in "to fly," a chapter from space chronicals, why would human flight be impossible?
Physicist Lord Kelvin believed that human flight would be impossible because he thought that the human body was too heavy and the wings required for flight would need to be too large to lift the body off the ground.
Additionally, he believed that the energy required to lift a person off the ground would be too great for the human body to produce. However, advancements in technology and a better understanding of aerodynamics have since disproved Lord Kelvin's belief, and humans are now able to fly with the aid of airplanes and other forms of aviation.
With the development of the aeroplane in the early 20th century, the long-held ideal of human flight was finally realised. The first successful flight is attributed to the Wright brothers, Orville and Wilbur, in 1903. From commercial air travel to military aviation and space exploration since then, the aviation sector has undergone a rapid evolution. Human flight has transformed how we communicate with one another, traverse the globe, and venture into the uncharted. Additionally, it has significantly improved communication, safety, and technology. Currently, flying is an essential component of our contemporary world because it allows us to view the wonder and beauty of our planet from a different angle.
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if the voltage across rl increases, what does this indicate about the resistance of rs? (does it mean that the resistance of rs increases or decreases?) explain your answer.
A rise in voltage will cause a rise in resistance if the current is kept constant. Alternatively, a rise in current will cause a fall in resistance while maintaining a constant voltage.
What are examples of resistance?The degree to which an item obstructs or opposes an electric current is referred to as resistance. Electric current is the term used to describe the motion of electrons. Consider the scenario of a person navigating a busy market and encountering difficulty moving from one establishment to another to better understand resistance.
What does circuit resistance mean?Resistance measures how readily current will flow across a circuit by using the ohm as the unit. As resistance falls, current rises, and when resistance rises, current falls.
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Calculate the pressure exerted on the ground by a boy of a mass 60 kg if he stands on one foot.the area of the sole of his shoe is 150cm²
Answer:
40 Kpa
Explanation:
150 cm2 = 0.015 m2
\(p \: = \frac{mg}{ a} = 40000\)
In a Young's double-slit experiment, a set of parallel slits with a separation of 0.102 mm is illuminated by light having a wavelength of 575 nm and the interference pattern observed on a screen 3.50 m from the slits.(a) What is the difference in path lengths from the two slits to the location of a second order bright fringe on the screen?(b) What is the difference in path lengths from the two slits to the location of the second dark fringe on the screen, away from the center of the pattern?
Answer:
Rounded to three significant figures:
(a) \(2 \times 575\; \rm nm = 1150\; \rm nm = 1.15\times 10^{-6}\; \rm m\).
(b) \(\displaystyle \left(1 + \frac{1}{2}\right) \times (575\;\rm nm) \approx 863\; \rm nm = 8.63\times 10^{-7}\; \rm m\).
Explanation:
Consider a double-slit experiment where a wide beam of monochromatic light arrives at a filter with a double slit. On the other side of the filter, the two slits will appear like two point light sources that are in phase with each other. For each point on the screen, "path" refers to the length of the segment joining that point and each of the two slits. "Path difference" will thus refer to the difference between these two lengths.
Let \(k\) denote a natural number (\(k \in \left\lbrace0,\, 1,\, 2,\, \dots\right\rbrace\).) In a double-split experiment of a monochromatic light:
A maximum (a bright fringe) is produced when light from the two slits arrive while they were in-phase. That happens when the path difference is an integer multiple of wavelength. That is: \(\text{Path difference} = k\, \lambda\).Similarly, a minimum (a dark fringe) is produced when light from the two slits arrive out of phase by exactly one-half of the cycle. For example, The first wave would be at peak while the second would be at a crest when they arrive at the screen. That happens when the path difference is an integer multiple of wavelength plus one-half of the wavelength: \(\displaystyle \text{Path difference} = \left(k + \frac{1}{2}\right)\cdot \lambda\).MaximaThe path difference is at a minimum (zero) at the center of the screen between the two slits. That's the position of the first maximum- the central maximum, a bright fringe where \(k = 0\) in \(\text{Path difference} = 0\).
The path difference increases while moving on the screen away from the center. The first order maximum is at \(k = 1\) where \(\text{Path difference} = \lambda\).
Similarly, the second order maximum is at \(k = 2\) where \(\text{Path difference} = 2\, \lambda\). For the light in this question, at the second order maximum: \(\text{Path difference} = 2\, \lambda = 2 \times 575\; \rm nm = 1.15\times 10^{-6}\; \rm m\).
Central maximum: \(k = 0\), such that \(\text{Path difference} = 0\).First maximum: \(k = 1\), such that \(\text{Path difference} = \lambda\).Second maximum: \(k = 2\), such that \(\text{Path difference} = 2\, \lambda\).MinimaThe dark fringe closest to the center of the screen is the first minimum. \(\displaystyle \text{Path difference} = \left(0 + \frac{1}{2}\right)\cdot \lambda = \frac{1}{2}\, \lambda\) at that point.
Add one wavelength to that path difference gives another dark fringe- the second minimum. \(\displaystyle \text{Path difference} = \left(1 + \frac{1}{2}\right)\cdot \lambda\) at that point.
First minimum: \(k =0\), such that \(\displaystyle \text{Path difference} = \frac{1}{2}\, \lambda\).Second minimum: \(k =1\), such that \(\displaystyle \text{Path difference} = \left(1 + \frac{1}{2}\right)\cdot \lambda\).For the light in this question, at the second order minimum: \(\displaystyle \text{Path difference} = \left(1 + \frac{1}{2}\right)\cdot \lambda = \left(1 + \frac{1}{2}\right)\times (575\; \rm nm) \approx 8.63\times 10^{-7}\; \rm m\).
4. hcl is added to di-ionized water to tune the ph equals to 3, what is the debye length? (10 points)
The Debye length is a characteristic length scale used in plasma physics and electrochemistry to describe the behavior of charged particles in a medium.
It represents the distance over which the electrostatic potential of a charged particle becomes shielded by the presence of other charged particles in the medium.
To calculate the Debye length in this scenario, we need to know the concentration of ions in the solution, which is related to the pH.
In acidic solutions, such as the one described here with pH 3, the concentration of H+ ions is relatively high. We can use the following equation to calculate the Debye length:
λ_D = (ε * k_B * T) / (z^2 * e^2 * c)
where λ_D is the Debye length, ε is the dielectric constant of the solvent (assumed to be water), k_B is the Boltzmann constant, T is the temperature, z is the charge on the ion (in units of the elementary charge e), and c is the concentration of ions in the solution.
Assuming room temperature (25°C) and a 1 M concentration of H+ ions (corresponding to pH 0), we can calculate the Debye length to be approximately 0.1 nm.
However, since the pH in this case is 3, we need to take into account the fact that the concentration of H+ ions has decreased by a factor of 1000 (from 1 M to 1 mM). Therefore, the Debye length in this scenario would be approximately 3.16 nm.
It's worth noting that this calculation assumes that the solution is ideal, meaning that the ions are perfectly spherical and non-interacting. In reality, ion-ion interactions and ion-solvent interactions can affect the Debye length, especially at high concentrations.
Additionally, other ions present in the solution (such as Cl- from the HCl added) can also contribute to the Debye length calculation
Learn more debye length here:brainly.com/question/30299575
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A horizontal straight wire carries a current from west to east.. The resulting magnetic field lines are A. straight lines perpendicular to the wire.B. parallel to the wire from west to east.C. parallel to the wire from east to west.D. closed circles perpendicular to the wire directed counterclockwise as viewed from theeast. E. closed circles perpendicular to the wire directed clockwise as viewed from the east.
Answer:
Option D
Explanation:
Refer to the attached images.
A bowling bowl rolls 33m with an average speed of 2.5 m/s how many seconds did the ball roll
The momentum of an object is determined by the object’s mass and velocity. Which object has more momentum?
Answer:
You need to give the options but the formula is p=mv
Explanation: