The larger magnification will be based on Focal length
The narrower the focal length, the smaller the magnification, and the larger the focal length, the larger the magnification.
it is obvious that the angle of the photograph from the objective lens or reflect to the eyepiece could be narrower the higher the focal duration. therefore, the photo may be considered via the eyepiece deeper with out dropping attention the narrower the angle (higher focal period).
The intensity of consciousness is shorter than the focal period. It approach that in comparison to large focal lengths, decrease focal lengths provide you with much less focuser play.
although you could nevertheless acquire the equal magnification with either focal period, the shorter focal duration will lose awareness a great deal earlier than the bigger focal period.
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A 9.0V battery is connected across a 2.2kilo ohms and 6.8kilo omhs resistors connected in series. what is the potential differences across 2.2kilo ohms resistor.
Answer:
\(V_{2.2} =2.2V\)
Fast and loose: that's a classic voltage divider. the drop from the i-th resistor is \(R_i \over {\sum R}\) of the drop across the whole series. In our situation, it's \(2.2\cdot 10^3 \over {2.2\cdot10^3 + 6.8\cdot 10^3\) of 9 V. By plugging numbers in a calculator, it's 22/90 of 9V, or 2.2V
With Ohm's Law
The series is equivalent of a single resistor of Resistance \(2.2\cdot 10^3+6.8\cdot 10^3 \Omega = 9.0 k\Omega\). By Ohm's first Law (\(V=Ri\)) the current flowing through the resistor is \(9V = 9*10^3\Omega i \rightarrow i=1mA\). At this point, the drop across the first resistor is, again by Ohm's law\(V = 2.2 \cdot 10^3 \Omega \cdot 1\cdot 10^{-3} A = 2.2V\)
PLEASE HELP
atoms are split at power plant to create electricity
A. radiant to mechanical
B. nuclear to electrical
C. chemical to radiant
D. mechanical to electrical
Answer:
C. nuclear to electrical
Answer:
c its c noob
Explanation:
If The thread plug gauge pitch diameter: 22.35 mm The micrometer measurement: 22.235 mm, then the correct error: A. 22.35 B. 22.235 C. 0.115 D. 0.005 E. cant be calculated
Option C: 0.115 is the correct option.
The correct error between the thread plug gauge pitch diameter and the micrometer measurement is 0.115 mm.
Explanation:
In order to determine the correct error between the thread plug gauge pitch diameter and the micrometer measurement, we first need to calculate the difference between the two.
This will give us the error.
The formula we will use is:
Error = |Pitch Diameter - Micrometer Measurement|
Given that:
Pitch Diameter = 22.35 mm
Micrometer Measurement = 22.235 mm
Substituting the values, we get:
Error = |22.35 - 22.235|
Error = 0.115 mm
Therefore, the correct error is 0.115 mm.
Option C: 0.115 is the correct option. The correct error between the thread plug gauge pitch diameter and the micrometer measurement is 0.115 mm.
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which statement identifies a reason to preserves wetlands
Answer:
They store floodwater
Explanation:
A person weighing 645 N climbs up a ladder to a height of 4.55 m what is the increase in gravitational energy
Answer: 2934.75 Joules
Explanation:
Potential energy can be defined as energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
P.E = mgh
Where P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per second square.
h represents the height measured in meters.
Given the following data;
Weight =645
Height = 4.55
P.E = mgh
But we know that weight = mg = 645N
Substituting into the equation, we have;
P.E = 645 • 4.55
P.E = 2934.75J
Potential energy, P.E = 2934.75 Joules.
What exerts pressure in all directions?
Answer: Gases
Explanation: Gases don't have a certain direction, so they go in all directions.
The following circuit diagram shows a combination of difference capacitors and a voltage source C1=3uf,C2=6uf,C3=4uf,C4=12uf. Whatis the equivalent capacitance of the circuit
The equivalent capacitance of the circuit is Ceq = 1.2 uf
What do you mean by capacitance?The ability of an element or circuits to receive and hold fuel inside the form of an electric charge is known as capacitance. Devices that retain energy comprise capacitors, which are available in a variety of sizes and forms.
let the capacitors are connected in series combination then-
the equivalent capacitance
1 / C1 + 1 / C2 + 1 / C3 + 1 / C4 = Ceq^-1
Ceq^-1 = (1/3 + 1/6 + 1/4 + 1)/12
Ceq^-1 = 4+2+3+1/12
Ceq^-1 = 10/12
Ceq = 12/10
Ceq = 1.2 uf
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A given mass of gas has a pressure of 80N/m² at a temperature of 40°C. if the temperature is reduced to 27°C with the volume remaining constant, the new pressure is A. 46.ON/m² B. 75.ON/m² C. 80.0N/m² D. 85.0N/m²
Answer:
Correct Answer: Option B
Explanation:
Explanation
P1/T1 = P2/T2
80/(273+47) = P1/(273+27) = 75Nm-2
Answer: 75.0 Nm^-2
Explanation:
P1/T1 = P2/T2 80/(273+47) = P1/(273+27) = 75Nm-2
What refers to the bending of light as it passes from one medium into another?
10. Which of the following arrangements of visible light colors shows decreasing wavelength?
A. red, orange, yellow, green, blue, indigo, violet
B. red, yellow, green, orange, violet, blue, indigo
C. violet, blue, green, orange, red, indigo, yellow
D. violet, indigo, blue, green, orange, yellow, red
12. What refers to the splitting of white light into seven different colors?
A. dispersion
B. refractive index
C. reflection
D. refraction
13. Refractive Index is a ratio between the speed of light in vacuum and .
A. speed of light in vacuum
B. speed of sound in vacuum
C. speed of light in a medium
D. speed of sound in a medium
15. Based on the colors of light, what color comes between red and yellow?
Answer:
9.Refraction
13.refractive index is the ratio of velocity of light in a vacuum to it's velocity I. a specified medium.
12.dispersion
14.Orange with a wavelength of about 585-620
I have no idea of number 10
given the semi-major axis and the eccentricity of this transfer orbit as 199100000 km and 0.2095 respectively, calculate the spacecraft interplanetary velocity with respect to the sun when arriving near mars?
The spacecraft's interplanetary velocity with respect to the Sun when arriving near Mars is approximately 24,130 m/s.
To calculate the spacecraft's interplanetary velocity with respect to the Sun when arriving near Mars, given the semi-major axis (a) of 199,100,000 km and the eccentricity (e) of 0.2095, follow these steps:
1. Convert the semi-major axis from km to meters: a = 199,100,000 km * 1,000 = 199,100,000,000 meters
2. Calculate the semi-minor axis (b) using the eccentricity: b = a * sqrt(1 - e^2) = 199,100,000,000 * sqrt(1 - 0.2095^2) ≈ 188,763,068,160 meters
3. Calculate the specific orbital energy (ε) using the formula:
ε = -GM / (2a), where G is the gravitational constant (6.67430 × 10^-11 m^3 kg^-1 s^-2) and
M is the mass of the Sun (1.989 × 10^30 kg):
ε = - (6.67430 × 10^-11 * 1.989 × 10^30) / (2 * 199,100,000,000) ≈ -2.216 × 10^7 J/kg
4. Calculate the spacecraft's interplanetary velocity (v) with respect to the Sun at Mars' distance (r) using the formula:
v = sqrt(2 * (ε + GM / r)).
Assume the distance from the Sun to Mars is equal to the semi-major axis (a):
v = sqrt(2 * (-2.216 × 10^7 + (6.67430 × 10^-11 * 1.989 × 10^30) / 199,100,000,000)) ≈ 24,130 m/s
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A labrador retriever runs 50.0 meters in 7.20 seconds to retrieve a bird. the dog then runs half way back in 3.85 seconds. determine the average speed of the dog and the average velocity of the dog
The average speed of the dog is 6.8 m/s while the average velocity is 6.8 m/s halfway to the starting point.
Speed and velocityThe speed of a moving object is the ratio of the distance covered by the object and the time taken to cover the distance. The average speed is the ratio of the total distance traveled and the total time taken.
Velocity, on the other hand, refers to the speed in a particular direction. In other words, velocity is a vector quantity while speed is a scalar quantity.
In this case:
Total distance covered = 50 + 25
= 75 meters
Total time taken = 7.2 + 3.85
= 11.05 seconds
Average speed = 75/11.05
= 6.8 m/s
Average velocity = 6.8 m/s halfway
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an emf source with a resistor with and a capacitor with are connected in series. as the capacitor charges, when the current in the resistor is 0.900 a, what is the magnitude of the charge on each plate of the capacitor?
An emf source with a resistor and a capacitor are connected in series. as the capacitor charges, when the current in the resistor is 0.900 a. The magnitude of the charge on each plate of the capacitor will be: 0.900 A * t.
When an emf source with a resistor and a capacitor are connected in series, the current in the resistor will start decreasing as the capacitor charges up. When the current in the resistor is 0.900 A, the magnitude of the charge on each plate of the capacitor can be determined by the equation:
Q = I * t
where Q is the magnitude of the charge, I is current, and t is the time.
In this case, since the current is 0.900 A, the magnitude of the charge on each plate of the capacitor can be calculated by multiplying the current (0.900 A) by the time (t). The magnitude of the charge on each plate of the capacitor will therefore be 0.900 A * t.
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Which of the following types of waves transports the greatest amount of
energy?
waves with high amplitude
waves with low frequency
waves with long wavelength
waves that travel through a medium
Waves with high amplitude transport the greatest amount of energy as the amplitude directly correlates with the energy carried by the wave.
The type of waves that transports the greatest amount of energy is waves with high amplitude. Amplitude refers to the maximum displacement or height of a wave from its equilibrium position. It is a measure of the energy carried by a wave. The higher the amplitude of a wave, the greater its energy.Waves with high amplitude have more energy because they have larger displacements, resulting in a greater transfer of energy. This is evident in various wave phenomena. For example, in the case of sound waves, waves with high amplitudes correspond to louder sounds, indicating a greater energy transfer. Similarly, in the case of ocean waves, high-amplitude waves can be more powerful and destructive.On the other hand, the other factors mentioned—frequency, wavelength, and medium—are not directly related to the amount of energy carried by a wave. Frequency refers to the number of wave cycles occurring in a given time, wavelength is the distance between two corresponding points on a wave, and the medium is the material through which the wave propagates. While these factors can affect the characteristics of a wave, they do not determine the overall energy content.
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If u is the distance between the object and the optical centre of the lens, v is the distance between the image and the optical centre of the lens and f is the focal length of the lens; then what is the relationship among u,v and f ?
Explanation:
The relationship among u, v, and f in the context of a lens can be described by the lens formula:
1/v - 1/u = 1/f
where:
- u is the object distance (distance between the object and the optical center of the lens),
- v is the image distance (distance between the image and the optical center of the lens), and
- f is the focal length of the lens.
According to the lens formula, the reciprocal of the image distance subtracted from the reciprocal of the object distance is equal to the reciprocal of the focal length.
a collection of molecules holding a charge of 12 coulomb all pass through a hole in 6 seconds. what is the current (in amps) through the hole?
2A is the current (in amps) through the hole
Define electric current
An electric current is the movement of charged particles through a conductor or a vacuum, such as electrons or ions. It is referred to be the overall pace at which electric charge moves through a surface.
Electric current describes both how much electricity is going through a circuit and how it is flowing in an electronic circuit. It is expressed in amps (A). More electricity is flowing in the circuit when the amperage value is higher.
Charge, also known as electric charge, electrical charge, or electrostatic charge, is a property of a unit of matter that expresses how many more or fewer electrons than protons it possesses. It is denoted by the sign q.
I ⇒ dQ/dt
Q⇒12C
t ⇒ 6sec
I ⇒ 12/6 ⇒2A
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The current flowing through the hole is 2 amps. It's important to note that electric current is the rate of flow of charge, so the amount of charge passing through a point in a circuit per unit of time determines the current.
The flow of electric charge through a circuit is known as electric current. The standard unit for measuring an electric current is the ampere (A), which is defined as the flow of one coulomb of charge per second. In this problem, we are given that a collection of molecules with a charge of 12 coulombs passes through a hole in 6 seconds.
To calculate the current (in amps) through the hole, we need to use the formula:
Current = Charge / Time
In this case, the charge is 12 coulombs and the time is 6 seconds, so we can plug in the values:
Current = 12 coulombs / 6 seconds = 2 amps
This calculation demonstrates how the amount of charge and time taken for that charge to pass through a point in a circuit can be used to calculate the current.
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150. Calculate the acceleration in the graph
below
Vims
16ms
sms
as
A. 5ms? B. 7.5 ms C.2.5 ms? D.10 ms?
Answer:
a = (V2 - V1) / t for uniform acceleration
a = (15 - 5) / 2 = 5 m/s^2 (Number A)
The 40-N collar A can slide on a frictionless vertical rod and is attached as shown to a spring. The spring is unstretched when h=300mm. Knowing that the constant of the spring is 560(N)/(m), determine the value of h for which the system is in equilibrium.
The 40-N collar can slide on a frictionless vertical rod and is attached as shown to a spring. The spring is unstretched when h=300mm. Knowing that the constant of the spring is 560(N)/(m), the value of h for which the system is in equilibrium is approximately 0.2286 meters.
To determine the value of h for which the system is in equilibrium, we need to consider the forces acting on collar A and set the net force to zero.
Let's analyze the forces acting on collar A:
Weight (W): The weight acts vertically downward and has a magnitude of 40 N.
Spring force (F_s): The spring force acts in the opposite direction to the displacement of the spring from its equilibrium position. It is given by Hooke's law: F_s = -kΔh, where k is the spring constant and Δh is the displacement from the equilibrium position.
Since the system is in equilibrium, the net force acting on the collar A must be zero
Net force = F_s - W = 0.
Substituting the values:
-560Δh - 40 = 0.
Simplifying the equation:
-560Δh = 40.
Solving for Δh:
Δh = 40 / (-560).
Δh = -0.0714 m.
Now, to determine the value of h for which the system is in equilibrium, we need to add Δh to the equilibrium position (h = 300 mm = 0.3 m).
h = 0.3 + Δh.
h = 0.3 - 0.0714.
h = 0.2286 m.
Therefore, the value of h for which the system is in equilibrium is approximately 0.2286 meters.
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Which of the following is an example of a non-contact force? CHOOSE ALL THAT APPLY.
A duck floating on water
The moon orbiting the earth
Your Chromebook sitting on the desk
Pushing a child in a swing at the playground
Gravity pulls skydiver down towards the surface of the earth from an airplane
The moon orbiting the earth and Gravity pulls skydiver down towards the surface of the earth from an airplane are examples of a non-contact force
Non-contact forces are forces that act between two objects that are not physically touching each other.
That means that there is no contact but there exist force between them .The moon orbiting the earth due to gravitational force between both the bodies , this is a non contact force . Because moon is in not in contact with the earth , still both the bodies are exerting force on each other
Also Gravity pulls skydiver down towards the surface of the earth from an airplane is also an example of non contact force because there is no contact between skydiver and earth , still due to earth's gravitational force , it is been attracted towards the ground
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Which of the following is true about the "alpha" factor that is in front of the velocity terms in the pipe flow energy equation? Choose all that apply.
Question 4 options:
Alpha accounts for the velocity profile across the pipe.
If flow is laminar, alpha = 2.0.
If flow is turbulent, alpha = 1.05.
If flow is turbulent, alpha = 2.0.
If flow is laminar, alpha = 1.0.
Alpha accounts for variable density.
If the flow is laminar, alpha = 1.0. The alpha factor in the pipe flow energy equation, also known as the Darcy-Weisbach friction factor, accounts for the frictional losses due to fluid viscosity and turbulence in the pipe. Here option D is the correct answer.
The "alpha" factor in the pipe flow energy equation accounts for the velocity profile across the pipe. It is defined as the ratio of the average velocity to the maximum velocity in the flow, and its value depends on whether the flow is laminar or turbulent.
For laminar flow, the value of alpha is 1.0, while for turbulent flow, the value of alpha is approximately 1.05. This is because the velocity profile for turbulent flow is flatter than for laminar flow, resulting in a slightly smaller alpha value.
It is worth noting that the "alpha" factor does not account for variable density. This is taken into account by the Reynolds number, which is a dimensionless quantity that characterizes the flow regime and is defined as the ratio of inertial forces to viscous forces.
Complete question:
Which of the following is true about the "alpha" factor that is in front of the velocity terms in the pipe flow energy equation?
Alpha accounts for the velocity profile across the pipe.
A - If the flow is laminar, alpha = 2.0.
B - If the flow is turbulent, alpha = 1.05.
C - If the flow is turbulent, alpha = 2.0.
D - If the flow is laminar, alpha = 1.0.
Alpha accounts for variable density.
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Un asensor de masa 500 kg , con cuatro personas a bordo , cada una con una masa de 75 kg , asciende con una altura de 28 metros Calcula la energia potencial que adquiere el asensor
Answer:
U = 2,195 10⁵ J
Explanation:
The potential energy is
U = m g and
in this case each person has a mass of 75 kg and the elevator has a mass of 500 kg, the total mass is
m_total = m_elevator + 4 m_person
m_total = 500 + 4 75
m_toal = 800 kg
let's calculate
U = 800 9.8 28
U = 2,195 10⁵ J
If the velocity is 33 cm/sec, and the flow is 4.4 L/min, what is the diameter of the aorta? 4. If the area of the aorta is 2.7 cm
2
, and the flow is 5.1 L/min, and the aorta branches in arteries totaling 50 cm
2
, what is the velocity in each branch artery? 5. What is the first branch off the aorta (not counting coronary arteries)? 6. The velocity of blood flow in the LVOT is 88 cm/sec, and the area of the LVOT is 7.7 cm, and the velocity in the aortic valve is 4.4 m/sec. What is the valve area? Flow behavior 1. What does "laminar" moses 2. What are the HW AS
The diameter of the aorta can be determined by using the given velocity and flow rate. The velocity in branch arteries can be calculated using the given flow rate and the total area of the arteries. The first branch off the aorta can be identified based on its location. The valve area can be determined by utilizing the given velocities and the area of the LVOT.
To calculate the diameter of the aorta, we need to relate the velocity and the flow rate. Velocity is given as 33 cm/sec, and the flow rate is 4.4 L/min. We can convert the flow rate to cm^3/sec (1 L = 1000 cm^3), which gives us a flow rate of 73.33 cm^3/sec. The flow rate is proportional to the cross-sectional area of the vessel multiplied by its velocity. Using the formula Q = A * V, where Q is the flow rate, A is the cross-sectional area, and V is the velocity, we can rearrange the formula to solve for the diameter of the aorta.
To determine the velocity in each branch artery, we can use the given flow rate of 5.1 L/min and the total area of the branch arteries, which is 50 cm^2. By dividing the flow rate by the total area, we can find the velocity in the branch arteries.
Identifying the first branch off the aorta requires knowledge of the anatomy. Typically, the first branch off the aorta is the brachiocephalic trunk, which divides into the right subclavian artery and the right common carotid artery.
To calculate the valve area, we can utilize the velocities and the area of the left ventricular outflow tract (LVOT). The velocity in the aortic valve is given as 4.4 m/sec, and the velocity in the LVOT is 88 cm/sec. The valve area can be determined using the continuity equation, which states that the product of the cross-sectional area and velocity at one point is equal to the product of the cross-sectional area and velocity at another point along the flow path.
In summary, the diameter of the aorta can be determined using the given velocity and flow rate. The velocity in branch arteries can be calculated using the flow rate and the total area of the arteries. The first branch off the aorta is typically the brachiocephalic trunk. The valve area can be calculated using the velocities and the area of the LVOT, utilizing the continuity equation.
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Lana and seth are conducting wave experiments with a slinky. lana waves one end of the slinky and seth holds the other end of the slinky against his face. describe what seth experiences when lana sends a pulse down the slinky
When Seth is struck in the cheek by the Slinky as it approaches its finish. Seth feels a surge of vitality. The medium carries the energy from Lana end to Seth end, where it started. The final particle on the cheek transfers.
What are called waves?A wave is an energetic disturbance in either a medium that doesn't include any net particle motion. Elastic deformation, a change in pressure, a magnetic or electrical intensity, an electric potential, or a change in temperature are a few examples.
How are waves created?Wind is the most frequent source of waves. The friction between the wind and the surface of the water produces wind-driven waves, also known as surface waves. A wave crest is produced when wind continuously disturbs the water's surface in an ocean or lake.
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when a metal reacts with a non-metal it forms what???
Answer:
When metals react with non-metals, electrons are transferred from the metal atoms to the non-metal atoms, forming ions. The resulting compound is called an ionic compound.
:
Many opera singers (and some pop singers) have a range of about 2.5 octaves or even greater. Suppose a soprano’s range extends from A below middle C (frequency 220 Hz) up to Eb -flat above high C (frequency 1244 Hz). Although the vocal tract is quite complicated, we can model it as a resonating air column, like an organ pipe, that is open at the top and closed at the bottom. The column extends from the mouth down to the diaphragm in the chest cavity, and we can also assume that the lowest note is the fundamental. How long is this column of air if v = 354 m/s? Does your result seem reasonable, on the basis of observations of your own body?
Many opera singers (and some pop singers) have a range of about 2.5 octaves or even greater. Suppose a soprano’s range extends from A below middle C (frequency 220 Hz) up to Eb -flat above high C (frequency 1244 Hz). The length of the air column is L = 0.402 m or 40.2 cm.
To determine the length of the air column based on the given frequency range and assuming the lowest note as the fundamental, we can use the formula for the wavelength of a sound wave in a closed-open tube:
λ = 4L,
where λ is the wavelength and L is the length of the air column.
The speed of sound in air is given as v = 354 m/s.
Let's first calculate the wavelength of the lowest note, A below middle C (220 Hz):
λ1 = v / f1,
where f1 is the frequency of the lowest note.
λ1 = 354 m/s / 220 Hz.
Next, calculate the wavelength of the highest note, Eb-flat above high C (1244 Hz):
λ2 = v / f2,
where f2 is the frequency of the highest note.
λ2 = 354 m/s / 1244 Hz.
Since the lowest note corresponds to the fundamental frequency, we can set the length of the air column as one-fourth of the wavelength of the lowest note:
L = λ1 / 4.
Now, let's calculate the length of the air column:
L = (354 m/s / 220 Hz) / 4.
Therefore, the length of the air column is L = 0.402 m or 40.2 cm.
Considering the range of 2.5 octaves from A below middle C to Eb-flat above high C, the resulting length of the air column appears reasonable. It's important to note that this is a simplified model and the actual human vocal tract is more complex. Factors like vocal cord tension, shape of the vocal tract, and resonances in the body can also contribute to the range and quality of the singer's voice.
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a table tennis ball has a diameter of 3.80 cm and average density of 0.084 0 g/cm3. What force is required to hold ir completely submerged under water?
The amount of force necessary to keep it submerged in water is F=0.258N.
The force required to hold a table tennis ball submerged in water is calculated using the formula:
\(F =\frac{ (\rho * V * g) }{ A}\)
Where F is the force, ρ is the water's density, V is the ball's volume, g is its gravitational acceleration, and A is its cross-sectional area.
The following formula is used to determine the ball's volume:
\(V = \frac{4}{3}*pi*r^3\)
where r is the ball's radius.
The radius of the ball is half its diameter, thus:
\(r = 3.8 cm^2\)
Therefore,
\(V = \frac{4}{3}*pi *(3.8 cm ^2)3\\V = 0.5222 cm3\)
The cross-sectional area of the ball is calculated using the formula:
\(A = \pi * r^2\\\\A = \pi* (\frac{3.8 cm }{ 2})^2\\A = 4.5257 cm^2\)
Substituting the values in the above formula,
\(F =\frac{ (0.084 g/cm^3 * 0.5222 cm^3 * 9.8 m/s^2) }{4.5257 cm^2}\\F = 0.258 N\)
Hence, the force needed to keep it submerged in water is 0.258N
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A fridge uses about 200 watts of power. This means that the fridge uses 200 joules per second of energy. If managed to turn 1 g of matter into energy, according to Einstein's equation E = mc², how long would I be able to power my fridge with that energy?
Answer:
Approximately \(4.50 \times 10^{11}\; {\rm s}\).
Explanation:
The speed of light is \(c \approx 3.00\times 10^{8}\; {\rm m\cdot s^{-1}}\).
Note that the standard unit of energy, joule, is a derived unit. In terms of the standard base units:
\(\begin{aligned}1\; {\rm J} &= (1\; {\rm N})\, (1\; {\rm m}) \\ &= (1\; {\rm kg \cdot m \cdot s^{-2}})\, (1\; {\rm m}) \\ &= 1\; {\rm kg \cdot m^{2} \cdot s^{-2}} \end{aligned}\).
Apply unit conversion and ensure that the unit of mass is in the standard unit kilogram (\({\rm kg}\)):
\(\begin{aligned} m &= 1\; {\rm g} \times \frac{1\; {\rm kg}}{10^{3}\; {\rm g}} &= 10^{-3}\; {\rm kg}\end{aligned}\).
Apply the equation \(E = m\, c^{2}\) to find the energy equivalent to \(m = 10^{-3}\; {\rm kg}\) of matter:
\(\begin{aligned}E &= m\, c^{2} \\ &= (10^{-3}\; {\rm kg})\, (3.00 \times 10^{8}\; {\rm m\cdot s^{-1}})^{2} \\ &= 9.00\times 10^{13}\; {\rm kg \cdot m^{2} \cdot s^{-2}} \\ &= 9.00\times 10^{13}\; {\rm J} \end{aligned}\).
Divide energy \(E\) by power \(P\) to find the duration \(t\) of the power consumption:
\(\begin{aligned} t &= \frac{E}{P} \\ &\approx \frac{9.00 \times 10^{13}\; {\rm J}}{200\; {\rm J \cdot s^{-1}}} \\ &= 4.50 \times 10^{11}\; {\rm s}\end{aligned}\).
In other words, the energy equivalent to \(1\; {\rm g}\) of matter could power this fridge for approximately \(4.50 \times 10^{11}\; {\rm s}\).
a. A random sample of 150 approved mortgage applications is
selected from a bank’s database. Customers of this bank can choose
either variable or interest-only mortgages. These mortgage choices
have
Out of 150 approved mortgage applications, a random sample may have variable or interest-only mortgages.
we are given that a random sample of 150 approved mortgage applications is either variable or interest-only mortgages. A variable mortgage, also known as an adjustable-rate mortgage (ARM), is a type of mortgage in which the interest rate fluctuates based on market conditions. An interest-only mortgage is a type of mortgage in which the borrower only pays interest on the loan for a certain period of time before beginning to make principal payments.To determine what percentage of the sample is variable or interest-only mortgages, we would need more information on the breakdown of the sample. However, we know that these are two different types of mortgages that borrowers can choose from when applying for a mortgage.
A home loan application is a report submitted to a bank when you apply for a home loan to buy land. The application is extensive and includes information about the borrower's employment history, financial situation, and the property being considered for purchase, among other things.
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A train leaves the station heading north on the tracks. It takes the train 6 seconds to reach 60 miles per hour. It completes the entire 60 mile trip in one hour. Calculate the train's average speed and velocity over the one hour trip. Show your work. Identify if each of the measurements are a scalar or vector quantity.
Answer:
Given that the train which is heading north on the tracks takes 6 seconds to reach 60 miles per hour and completes the entire 60 mile trip in one hour, we can calculate the train's average speed and velocity over the one hour trip. Now right off the bat we know that the measurement we calculate for the train's average SPEED will be a scalar quantity as we are dealing with speed. On the other hand the measurement we calculate for the train's velocity will be a vector quantity as we are dealing with velocity and the quantity has both a magnitude and a direction. Now: we now that the train completed the entire 60 mile trip in one hour which means it is going 60 mph north, which is the velocity This velocity has both a magnitude (60 mph) and a direction (north). For the train's average speed we look at distance divided by time. The speed of the train is 60 miles per hour. The difference between speed and velocity is that speed is how fast an object is going with respect to a frame of reference versus velocity is a measure of the speed and direction of an object.
Examine the weather map.
A weather map of the United notes. The following are shown on the map: major cities with high and low temperatures; high and low pressure systems; types of precipitation, fronts. The arrow is pointing to an H in a circle.
What does the symbol indicated by the arrows most likely represent?
a hurricane
low pressure
high pressure
high temperatures
Answer:
High pressure.
Explanation:
The symbol H indicates high pressure, while the symbol L indicates low pressure. Therefore, option C is correct.
What is a weather map?A weather map is a map of the world or a portion of it that uses symbols to depict the weather conditions at a given time, including temperature, pressure, wind speed and direction, humidity, clouds, visibility, and type and amount of precipitation.
Different kinds of weather maps are used by meteorologists to display forecasts. Satellite, Doppler radar, precipitation, temperature, and wind speed are the primary weather maps. Let's investigate each of these in greater depth. There are four types of weather maps and that is station model map, aviation map, temperature map, and streamline map.
The symbol H indicates high pressure. Therefore, option C is correct.
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Where is the fulcrum of a broom explain
The hand that holds the broomstick's top when you sweep is its fulcrum. The hand in the top of the broom serves as the pivot point, making it a lever.
The majority of brooms have the fulcrum inserted into the bristles at the base of the brush. The user can apply a reasonable amount of force without the broom tipping over or becoming unstable because this location has a good balance of leverage and stability.
Lever, what is it?
A lever is a straightforward device with a rigid bar or board that rotates around the fulcrum, a fixed point.
What are the six traditional, straightforward machines?Lever, Pulley, Wheel and Axle, Inclined Plane, Wedge, and Screw are the six classical simple machines.
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