a. The total dollar amount of withholdings equals to $185
b. Glenn’s net pay will be $615
What is Withholding?This means the income an employer takes out of an employee's paycheck and remits to the federal, state, and/or local government. A technique used to collect income tax in advance is withholding tax (WHT).
Net pay is what employees earn after all payroll deductions are subtracted from their gross pay, also known as take-home pay. Your payslip will typically include information about your net salary after all deductions have been made, frequently at the bottom. Keep in mind that net pay is your salary less any deductions. This will be in accordance with the sum of money deposited into your bank account.
The total dollar amount of withholdings is:
= Income Tax + State Income Tax + Social Security Tax + Medicare Tax
= $100.00 + $45.00 + $20.00 + $15.00 + $5.00
= $185
The amount of Net pay is:
= Gross pay - Withholdings
= $800 - $185
= $615
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Air is compressed polytropically from 150 kPa, 5 meter cube to 800 kPa. The polytropic exponent for the process is 1.28. Determine the work per unit mass of air required for the process in kilojoules
a) 1184
b) -1184
c) 678
d) -678
Answer:
wegkwe fhkrbhefdb
Explanation:B
Find distance between two object of radius 6 cm and 2 cm
The distance between two objects of radius 6 cm and 2 cm is zero
To find the distance between two objects with radii of 6 cm and 2 cm, we need to consider the center-to-center distance between the objects and subtract the sum of their radii.
Let's denote the radii of the objects as r1 = 6 cm and r2 = 2 cm.
The distance between the centers of the objects can be represented as d = r1 + r2. Adding the radii ensures that we account for the space occupied by both objects.
Substituting the values, we have d = 6 cm + 2 cm = 8 cm.
Now, to find the actual distance between the objects, we subtract the sum of their radii from the center-to-center distance:
Distance = d - (r1 + r2) = 8 cm - (6 cm + 2 cm) = 8 cm - 8 cm = 0 cm.
The resulting distance is 0 cm, indicating that the objects are in direct contact with each other. This means that their surfaces are touching. When the distance between two objects is zero, it implies that they are overlapping or in physical contact. In this case, since the distance is equal to 0 cm, the two objects are touching each other, with their surfaces coming into contact.
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i need help with this asap please
1. The horizontal component of the velocity is 35.14 m/s
2. The vertical component of the velocity is 26.48 m/s
1. How do I determine the horizontal component of the velocity?We can obtain the horizontal component of the ball's velocity by doing the follow:
Initial velocity (u) = 44 m/sAngle of projection (θ) = 37 °Horizontal component of velocity =?Horizontal component of velocity = u × Cosθ
Horizontal component of velocity = 44 × Cos 37
Horizontal component of velocity = 35.14 m/s
Thus, the horizontal component of velocity is 35.14 m/s
2. How do I determine the vertical component of the velocity?The vertical component of the ball's velocity can be obtained as illustrated below:
Initial velocity (u) = 44 m/sAngle of projection (θ) = 37 °Vertical component of velocity =?Vertical component of velocity = u × Sine θ
Vertical component of velocity = 44 × Sine 37
Vertical component of velocity = 26.48 m/s
Thus, the vertical component of velocity is 26.48 m/s
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When will sky diver reach terminal velocity after he has opened his parachute?
Answer:
As the skydiver gains speed, their weight stays the same but the air resistance increases. There is still a resultant force acting downwards, but this gradually decreases. Eventually, the skydiver's weight is balanced by the air resistance. There is no resultant force and the skydiver reaches terminal velocity.
please read the question and answer. it is quite complicated so someone clever please reply. many thanks :)
Answer:
If he's 500 kg and 1 kg = 10 N then it would be 5,000 N
Explanation:
The surface area is unimportant and they'll use it to trick you.
Force exerted by wind on Willis Tower A 10.0-m/s wind blows against one side of the Willis Tower in Chicago. The building is 443 m tall and approximately 80 m wide. Estimate the average force of the air on the side of the building. The density of air is approximately 1.3 kg/m^3. Indicate any assumptions that you made.
According to the given Statement the average force is 235.824
Indicate any assumptions that has been made in the given question?The following assumptions are made - The wind is blowing perpendicular to the face of the building. The wind speed is constant and does not change with height. The drag coefficient of 1.0 is a rough estimate. This calculation assumes the wind is laminar and does not take into account any turbulence or vortex shedding that may occur in reality.
What is Drag coefficient (C)?The drag coefficient (C) is a dimensionless number that depends on the shape of the object. For a tall building with a flat face, such as the Willis Tower, the drag coefficient is approximately 1.0.
F \(=0.5*1.0*1.3*35840*10^{2}\)
F = 235.824 N (approximately 53,000 pounds).
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Imagine a table that has a hole drilled through the center. Through this hole is a string that connects one mass that hangs under the table, to a mass that is on top of the table and spinning. mass M weighs 10kg, mass m weighs 5 kg, and the radius, R, of the circle mass M, traces out is 50cm.
1. Solve for Force centripetal
2. At what speed does the mass M need to rotate in order to keep mass m suspended
Answer: The speed at which mass M needs to rotate in order to keep mass m suspended is 0.7071067811865475 m/s.
Explanation:
the pressure at the bottom of a drum in which a liquid is filled up to the height of 2 m is 9000800 PF find the density of liquid field in that drum
The density of the liquid in the drum is 459.184 kg/m³.
To find the density of a liquid, we must know its pressure, the depth to which it is filled, and the gravitational acceleration acting on it. Using the equation for pressure at a depth h below the surface of a liquid in a container of height H, P = ρgh, where P is the pressure, ρ is the density, g is the gravitational acceleration, h is the height of the liquid, and H is the height of the container.Let's substitute the given values in the above formula:P = 9000800 Pa; h = 2m; g = 9.8m/s²Therefore, ρ = P/gh = 9000800/(9.8 × 2) ≈ 459184.
This means that the density of the liquid in the drum is 459.184 kg/m³ (kilograms per cubic meter).
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Can you list the offensive position on a flag football team?
Answer:
yes u can flag football has everything that pad football has so you can enlist on being offensive position but you have to play like you want that position
Explanation:
Consider the system of two blocks shown in Fig. P6.81, but with a different friction force on the 8.00 kg block. The blocks are released from rest. While the two blocks are moving, the tension in the light rope that connects them is 37.0 N. (a) During a 0.800 m downward displacement of the 6.00 kg block, how much work has been done on it by gravity? By the tension T in the rope? Use the work–energy theorem to find the speed of the 6.00 kg block after it has descended 0.800 m. (b) During the 0.800 m displacement of the 6.00 kg block, what is the total work done on the 8.00 kg block? During this motion how much work was done on the 8.00 kg block by the tension T in the cord? By the friction force exerted on the 8.00 kg block? (c) If the work–energy theorem is applied to the two blocks con- sidered together as a composite system, use the theorem to find the net work done on the system during the 0.800 m downward displacement of the 6.00 kg block. How much work was done on the system of two blocks by gravity? By friction? By the tension in the rope?
a) The speed of the 6.00 kg block after descending 0.800 m is 2.07 m/s.
b) We cannot calculate the work done by the friction force.
c) The net work done on the system of two blocks during the 0.800 m downward displacement of the 6.00 kg block is 29.13 J. The work done by gravity is 47.04 J, the work done by friction is unknown, and the work done by the tension in the rope is zero.
(a) The work done on the 6.00 kg block by gravity can be calculated using the formula:
Work_gravity = force_gravity * displacement * cos(theta),
where force_gravity is the weight of the block, displacement is the downward displacement of the block, and theta is the angle between the force and displacement vectors (which is 0 degrees in this case).
The weight of the block is given by:
force_gravity = mass * acceleration_due_to_gravity = 6.00 kg * 9.8 m/s^2 = 58.8 N.
Plugging in the values, we get:
Work_gravity = 58.8 N * 0.800 m * cos(0) = 47.04 J.
The work done on the 6.00 kg block by the tension in the rope is given by:
Work_tension = tension * displacement * cos(theta).
Plugging in the values, we get:
Work_tension = 37.0 N * 0.800 m * cos(180) = -29.6 J.
The negative sign indicates that the tension is in the opposite direction of the displacement.
Using the work-energy theorem, we can find the speed of the 6.00 kg block after descending 0.800 m:
Work_net = change_in_kinetic_energy.
Since the block starts from rest, its initial kinetic energy is zero. Therefore:
Work_net = Final_kinetic_energy - Initial_kinetic_energy = 1/2 * mass * velocity^2.
Solving for velocity, we get:
velocity = sqrt(2 * Work_net / mass).
The net work done on the block is the sum of the work done by gravity and the tension:
Work_net = Work_gravity + Work_tension = 47.04 J - 29.6 J = 17.44 J.
Plugging in the values, we get:
velocity = sqrt(2 * 17.44 J / 6.00 kg) = 2.07 m/s.
Therefore, the speed of the 6.00 kg block after descending 0.800 m is 2.07 m/s.
(b) The total work done on the 8.00 kg block during the 0.800 m displacement can be calculated using the work-energy theorem:
Work_net = change_in_kinetic_energy.
Since the 8.00 kg block is not moving vertically, its initial and final kinetic energies are zero. Therefore:
Work_net = Final_kinetic_energy - Initial_kinetic_energy = 0.
The work done on the 8.00 kg block by the tension in the rope is given by:
Work_tension = tension * displacement * cos(theta).
Plugging in the values, we get:
Work_tension = 37.0 N * 0.800 m * cos(0) = 29.6 J.
The work done on the 8.00 kg block by the friction force can be calculated using the formula:
Work_friction = force_friction * displacement * cos(theta),
where force_friction is the frictional force on the block. However, the problem statement does not provide the value of the friction force. Therefore, we cannot calculate the work done by the friction force.
(c) The net work done on the system of two blocks during the 0.800 m displacement of the 6.00 kg block can be found using the work-energy theorem:
Work_net = change_in_kinetic_energy.
Since the system starts from rest, the initial kinetic energy of the system is zero. Therefore:
Work_net = Final_kinetic_energy - Initial_kinetic_energy = 1/2 * (6.00 kg + 8.00 kg) * velocity^2.
Simplifying, we get:
Work_net = 1/2 * 14.00 kg * velocity^2.
Using the value of velocity calculated in part (a), we get:
Work_net = 1/2 * 14.00 kg * (2.07 m/s)^2 = 29.13 J.
The work done on the system of two blocks by gravity is the sum of the work done on the individual blocks by gravity:
Work_gravity_system = Work_gravity_6kg + Work_gravity_8kg = 47.04 J + 0 J = 47.04 J.
The work done on the system of two blocks by the tension in the rope is the sum of the work done on the individual blocks by the tension:
Work_tension_system = Work_tension_6kg + Work_tension_8kg = -29.6 J + 29.6 J = 0 J.
Therefore, the net work done on the system of two blocks during the 0.800 m downward displacement of the 6.00 kg block is 29.13 J. The work done by gravity is 47.04 J, the work done by friction is unknown, and the work done by the tension in the rope is zero.
Note: The calculations for part (b) and (c) were based on the given information, but the value of the friction force was not provided in the problem statement.
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the mass of a density bottle is 18.00g when empty 44.00g when full of water, and 39.84g when full up of a second liquid. calculate the density of the liquid where density of water =1000kgm³
The density of the second liquid is 0.812 g/cm³
To calculate the density of the second liquid, we need to use the principle of displacement. The mass of the liquid can be found by subtracting the mass of the empty density bottle from the mass of the bottle filled with the liquid. Therefore, the mass of the liquid is:
mass of liquid = mass of bottle + liquid - mass of empty bottle
mass of liquid = 39.84g + x - 18.00g
where x is the mass of the liquid.
We can now use the density formula, which is:
density = mass/volume
The volume of the liquid is equal to the volume of the density bottle that is filled with the liquid, which can be calculated by subtracting the volume of the empty bottle from the volume of the bottle filled with the liquid. Therefore, the volume of the liquid is:
volume of liquid = volume of bottle filled with liquid - volume of empty bottle
We can now substitute this expression into the density formula to get:
density of liquid = mass of liquid / (volume of bottle filled with liquid - volume of empty bottle)
We know that the density of water is 1000 kg/m³, which is equal to 1 g/cm³. We can use this to find the volume of the liquid by dividing the mass of water by its density:
volume of water = mass of water / density of water
volume of water = 44.00g / 1 g/cm³
volume of water = 44.00 cm³
Now, we can calculate the volume of the density bottle filled with the second liquid by using the principle of displacement:
volume of bottle filled with liquid = volume of water - volume of liquid
volume of bottle filled with liquid = 44.00 cm³ - (39.84g - 18.00g) / 1 g/cm³
volume of bottle filled with liquid = 44.00 cm³ - 21.84 cm³
volume of bottle filled with liquid = 22.16 cm³
Finally, we can substitute these values into the density formula to get:
density of liquid = x / 22.16 cm³
Solving for x, we get:
x = density of liquid x 22.16 cm³
Substituting x back into the mass equation, we get:
mass of liquid = 39.84g + (density of liquid x 22.16 cm³) - 18.00g
Solving for the density of the liquid, we get:
density of liquid = (mass of liquid - 21.84g) / 22.16 cm³
Substituting the given values, we get:
density of liquid = (39.84g - 21.84g) / 22.16 cm³ = 0.812 g/cm³
In conclusion, the density of the second liquid is 0.812 g/cm³. This value is less than the density of water, which means that the second liquid is less dense than water and will float on top of water.
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PLEASE HELP!! :)
Which of the following options would increase the electric force the most?
a. tripling the charge on one particle
b. changing the sign of one of the particles.
c. doubling the charge on one particle
d. doubling the charge on both particles
Calculate the ratio of H+ ions to OH– ions at a pH = 8. Find the concentration of H+ ions to OH– ions listed in Table B of your Student Guide. Then divide the H+ concentration by the OH– concentration. Record this calculated ratio in Table A of your Student Guide. Compare your approximated and calculated ratios of H+ ions to OH– ions at a pH = 8. Are they the same? Why or why not? Record your explanation in Table A. What is the concentration of H+ ions at a pH = 8? mol/L What is the concentration of OH– ions at a pH = 8? mol/L What is the ratio of H+ ions to OH– ions at a pH = 8? :1 OR 1:
At pH = 8, the ratio of H+ ions to OH- ions is 1:1, indicating a neutral solution. The concentration of H+ ions and OH- ions is approximately 1 x 10^(-8) mol/L. The calculated and approximated ratios should match.
To calculate the ratio of H+ ions to OH- ions at pH = 8, we need to use the relationship between pH and the concentration of H+ ions. The pH scale is a logarithmic scale that measures the acidity or alkalinity of a solution based on the concentration of H+ ions.
The formula to calculate the concentration of H+ ions (\(C_H\)+) from pH is:
\(C_H\)+ = \(10^(^-^p^H^)\)
Substituting pH = 8 into the formula:
\(C_H\)+ = \(10^(^-^8^))\)
Using the properties of logarithms, we can calculate the concentration of H+ ions:
\(C_H\)+ ≈ 1 x \(10^(^-^8^))\) mol/L
According to the concept of neutrality in water, the concentration of H+ ions is equal to the concentration of OH- ions. Therefore, the concentration of OH- ions (\(C_O_H\)-) is also approximately 1 x \(10^(^-^8^))\)mol/L.
To calculate the ratio of H+ ions to OH- ions, we divide the concentration of H+ ions by the concentration of OH- ions:
Ratio = \(C_H\)+ / \(C_O_H\)-
Ratio = (1 x \(10^(^-^8^))\) / (1 x \(10^(^-^8^))\))
Ratio = 1:1
The ratio of H+ ions to OH- ions at pH = 8 is 1:1, indicating a neutral solution. This means that the concentration of H+ ions is equal to the concentration of OH- ions, resulting in a balanced ratio.
When comparing the calculated ratio of 1:1 to the approximated ratio at pH = 8, they should be the same because the ratio of H+ ions to OH- ions is determined solely by the pH value, which is consistent and mathematically derived. Therefore, the approximated and calculated ratios should match.
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A car drove 200 km east on an interstate highway, then was finally able to make an
exit and drove for another 70 km to the north before reaching their destination.
What was the direction of car's resultant displacement?
Answer:
70.66°Explanation:
To find the direction of the displacement vector, we have to solve for the ratio of both displacements, and furthermore the inverse tangent of the ratio.
Given data
200km east represents the x axis
70 km north represents y axis
the direction of the resultant is given as
∅= tan-1x/y
∅=tan-1 200/70
∅= tan-120/7
∅= tan-12.85
∅= 70.66°
hence the direction of the resultant is 70.66°
The largest flowers in the world are the Rafflesia Arnoldii, found in Malaysia. A single flower is almost a meter across and has a mass up to 11.0 kg. Suppose you cut off a single flower and drag it along the flat ground. If the coefficient of kinetic friction between the flower and the ground is 0.39, what is the magnitude of the frictional force that must be overcome?
The magnitude of the frictional force that must be overcome is 42.04 N.
What is the magnitude of the frictional force?
The magnitude of the frictional force that must be overcome is calculated by applying Newton's second law of motion as follows;
Mathematically, the formula for the frictional force is given as;
F = μmg
where;
μ is the coefficient of frictionm is the mass of the flowerg is acceleration due to gravityThe magnitude of the frictional force that must be overcome is calculated as;
F = 0.39 x 11 kg x 9.8 m/s²
F = 42.04 N
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A tsunami originatig near the Alaska coast had a wavelength of 470 miles and traveled 2300 miles in 5.3 h. Determine the wave’s (a) speed in miles/hour and in m/s, (b) frequency and (c) period (in seconds and in minutes).
Answer:
a) 433.96 miles/hr
193.98 m/s
b) 3899.3 Hz
c) 2.56 x 10^-4 \(s^{-1}\)
0.015 \(m^{-1}\)
Explanation:
wavelength of the tsunami = 470 miles
Distance traveled = 2300 miles
time taken to travel this distance = 5.3 h
a) wave's speed = distance/time
==> 2300/5.3 = 433.96 miles/hr
1 miles/hr = 0.447 m/s
433.96 miles/hr = 433.96 x 0.447 = 193.98 m/s
b) frequency of a wave f = speed/wavelength
for wavelength, 470 miles = 470 x 1609.34 = 756389.8 m
frequency = 756389.8/193.98 = 3899.3 Hz
c) Period T = 1/frequency
T = 1/3899.3 = 2.56 x 10^-4 \(s^{-1}\)
60 sec = 1 min
Period T in sec = 2.56 x 10^-4 x 60 = 0.015 \(m^{-1}\)
8. Does the independent variable or dependent variable affect
an experiment more? Why?
Answer: In an experiment, both the independent variable and the dependent variable play crucial roles, but they have different impacts.
The independent variable is the variable that is manipulated or controlled by the experimenter. It is intentionally changed or varied to observe its effect on the dependent variable. The independent variable is typically seen as having a greater influence on the experiment because it is intentionally altered to determine the cause or influence of the observed changes.
On the other hand, the dependent variable is the variable that is measured or observed to determine the outcome or response in relation to the independent variable. It is considered the outcome or the result of the changes made to the independent variable. While the dependent variable is influenced by the independent variable, its changes are typically a consequence of the alterations made to the independent variable.
In summary, the independent variable is typically seen as having a more direct and significant effect on the experiment because it is intentionally manipulated to observe its impact on the dependent variable. The dependent variable, while influenced by the independent variable, is more of a response or outcome that is measured or observed as a result of the changes made to the independent variable.
A 17-kg
piece of metal displaces 2.8 L
of water when submerged. what is its density?
Answer: Density = 6071.428571 kg/m³
Explanation: Given that mass m=17 kg
volume displaced v=2.8L
We know that
density = mass/volume
Here density=17kg/2.8L
Also 1L=1000m³ Hence
density=17kg/2.8×10⁻³m³
=6071.428571 kg/m³
A ball with a mass of 4 kg is initially traveling at 2 m/s and has a 5 N force applied for 3 s. What is the initial momentum of the ball?
Answer:
The initial momentum of the ball is 8 kg-m/s.
Explanation:
Given that,
Mass of the ball is 4 kg
Initial speed of the ball is 2 m/s
Force applied to the ball is 5 N for 3 seconds
It is required to find the initial momentum of the ball. Initial momentum means that the product of mass and initial velocity of the ball. It is given as :
\(p_i=mu\\\\p_i=4\ kg\times 2\ m/s\\\\p_i=8\ kg-m/s\)
So, the initial momentum of the ball is 8 kg-m/s.
A continental polar air mass forms in
a. the Pacific Ocean.
b. northern Canada.
c.
the Gulf of Mexico.
the desert Southwest.
d.
Please select the best answer from the choices provided
А
B
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my uq xbbbnxnjjxjxusjhhhwhhhnn he c x. Yes suhsjjdhhehy yes eirui
M I was going ask m
Iqijjm.ndjbh
Answer:
B. Northern Canada
Explanation:
A continental polar air mass can form over the land during the winter months. In the Northern Hemisphere, it originates in northern Canada or Alaska. As it moves southward, it brings dry weather conditions to the United States. Temperature and humidity levels are both low. Hope this helps :)
A 25 kg object has an apparent weight of 200 N when placed in a fluid with a specific gravity of 0.6. What is the specific gravity of the object? (By definition, the specific gravity of an object or fluid is the density of the object/fluid divided by the density of water...effectively making a dimensionless density). A) 1.2 B) 2.0 C) 12 D) 3.0
Answer:
D) 3.0
Explanation:
As we know that
\(The\ specific\ gravity\ of\ fluid = \frac{density\ of\ fluid}{density\ of\ water \ at\ 4\ C} = \frac{\rho_f}{1,000}\)
\(0.6 = \frac{\rho_f}{1000}\)
So,
\(\rho_f = 600\)
Now
T = True weight of object
= mg
\(= 25 \times 9.8\)
= 245 N
W = apparent weight = 200 N
\(\sigma\) = density of object
Now we use the formula
buoyancy force = True weight - W
\(\rho_f V g = 245 - 200\)
600 V (9.8) = 45
V = 0.007653
m = 25 kg
And as we know that
\(\sigma = \frac{m}{V}\)
\(= \frac{25}{0.007653}\)
= 3266.7
Now
specific gravity is
\(= \frac{\sigma}{water\ density}\)
\(= \frac{3266.7}{1000}\)
= 3.2
Hence, the correct option is d.
which of the following statements about mass and weight is correct?
A. "Mass" is the scientific term for "weight''
B. Weight directly measures force while mass directly measures amount of matter.
C. Weight has unit of kilograms or grams. Mass has unit of newtons.
D. The mass of an object depends on the size of the object. The weight of an object dosent depend on the size of the object.
The correct answer is B. Weight directly measures force while mass directly measures the amount of matter.
Explanation:
Weight and mass are two related but not identical concepts. The first term "mass" can be found by measuring the amount of matter in a body or substance. For example, the mass in an apple is around 80 grams depending on its size. In this context, mass is measured using units such as grams or kilograms. On the other hand, weight considers not only the matter in an object but the force exerted in it, especially, the gravitational force. In the case of the apple, the weight is 1 N as newtons (N) are used to measure force and this is the result of multiplying the mass by gravity. According to this, option B is correct.
x A
Which wave BEST represents a sound that a person and a dog can hear changing to a sound that only a dog can hear?
x
A A
BB
CC
D.
xD D
m
Explanation:
ultrasound wave have a frequency higher than the upper limit for human hearing
Air at 273K and 1.01x10³Nm2 pressure contains 2.70x1025 molecules per cubic meter. How many molecules per cubic meter will there be at a place where the temperature is 223K and pressure is 1.33x10 Nm-2
The molecules of O2 that are present in 3.90 L flask at a temperature of 273 K and a pressure of 1.00 atm is 1.047 x 10^23 molecules of O2
Step 1: used the ideal gas equation to calculate the moles of O2
that is Pv=n RT where;
P(pressure)= 1.00 atm
V(volume) =3.90 L
n(number of moles)=?
R(gas constant) = 0.0821 L.atm/mol.K
T(temperature) = 273 k
by making n the subject of the formula by dividing both side by RT
n= Pv/RT
n=[( 1.00 atm x 3.90 L) /(0.0821 L.atm/mol.k x273)]=0.174 moles
Step 2: use the Avogadro's law constant to calculate the number of molecules
that is according to Avogadro's law
1 mole = 6.02 x10^23 molecules
0.174 moles=? molecules
by cross multiplication
the number of molecules
= (0.174 moles x 6.02 x10^23 molecules)/ 1 mole =1.047 x 10^23 molecules of O2
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You put your book on the bus seat next to you. When the bus stops suddenly the book slides forward off the seat. Why?
A.) The book received a push from the seat hitting it.
B.) The force applied by the bus caused it to accelerate forward.
C.) The book's inertia carried it forward.
D.) The book could never slide forward to begin with.
Answer:
C) The book's inertia carried it forward.
When the bus stops suddenly, the book tends to remain in motion due to its inertia. The book was at rest on the seat of the bus, and when the bus stopped suddenly, the book continued moving forward with the same speed and direction it had before the bus stopped. As a result, the book slid off the seat and onto the floor.
A mass of 20kg which moved vertically produced a momentum of 300kg.m/s, how much power was needed to move the mass?
Answer:
Power is 3000 W
Explanation:
Momentum = mass × velocity
\(300 = 20 \times v \\ velocity = 15 \: {ms}^{ - 1} \)
For power:
\(P = \frac{force \times distance}{time} \\ \\ P = force \times ( \frac{distance}{time} )\)
but distance/time is velocity, so:
\(P = force \times velocity\)
but force = mass × acceleration:
\(P = (mass \times acceleration) \times velocity \\ P = (20 \times 10) \times 15 \\ P = 3000 \: \: watts\)
[ taken acceleration to be 10 m/s² ]
** State the reason why heat transfer by radiation is faster than heat transfer by conduction
Heat transfer by radiation is faster than heat transfer by conduction because radiation can occur through a vacuum, while conduction requires the presence of a medium, such as a solid, liquid, or gas. Radiation is the transfer of energy through electromagnetic waves and does not require any medium to propagate, which means that radiation can occur even in a vacuum or through transparent materials.
On the other hand, conduction requires particles to transfer heat energy from one object to another. In a solid, this occurs through the transfer of kinetic energy from one molecule to another through direct contact, while in a liquid or gas, conduction occurs through collisions between molecules. This process of molecule-to-molecule transfer of heat energy is much slower than radiation and is limited by the physical properties of the medium, such as its thermal conductivity.
Therefore, heat transfer by radiation is faster than heat transfer by conduction because radiation can occur through a vacuum, and is not limited by the physical properties of a medium, while conduction is limited by the thermal conductivity of the medium and requires direct contact between molecules.
Do you think Kepler will be able to detect Earth-sized planets in transit?
Answer: Less than 1% of the stars that Kepler will be looking at are closer than 600 light years. Stars farther than 3,000 light years are too faint for Kepler to observe the transits needed to detect Earth-size planets.
Explanation:
19. Assume this process is 10% efficient, how much work is done by the gas expanding into the atmosphere?
The amount of work done by the gas is proportional to the pressure and the change in volume, as well as the efficiency of the process. If the pressure and volume are known, the work done by the gas can be calculated by multiplying these values by the efficiency of the process.
The amount of work done by a gas when it expands is proportional to the change in volume, pressure, and temperature. According to the first law of thermodynamics, the energy of a closed system is conserved, so the work done by the expanding gas is equal to the energy transferred from the gas to the environment in the form of work. Therefore, the work done by the gas is equal to the change in energy of the system. Assume that the process is 10% efficient. Then, only 10% of the energy available to the system is converted into work. This means that the remaining 90% of the energy is lost to the environment in the form of heat. As a result, the amount of work done by the gas expanding into the atmosphere is given by the formula
W = E x η, where W is the work done by the gas, E is the energy available to the system, and η is the efficiency of the process. The energy available to the system is determined by the difference between the internal energy of the gas before and after the expansion. The internal energy of a gas is determined by its temperature, pressure, and volume.
Assuming that the temperature and pressure are constant, the change in internal energy is proportional to the change in volume. Therefore, the energy available to the system is equal to the product of the pressure and the change in volume: E = P x ΔV, where P is the pressure of the gas and ΔV is the change in volume during the expansion. Substituting this equation into the formula for work, we get W = P x ΔV x η.
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Osteopororis is a disease that weaken bones, and it runs in Angelica's family. What would be the BEST form of exercise for Angelica to start doing to
address this potential problem?
A. core training
B. strength training
C. aerobic training
D. balance training
Answer:
(B) strength training
Explanation:
The best form of exercise for Angelica to address the potential problem of osteoporosis would be strength training. This is because strength training has been shown to increase bone density and strength, which can help to prevent and manage osteoporosis. Additionally, strength training can also improve overall muscle strength, balance, and coordination, which can help to reduce the risk of falls and fractures. While core training, aerobic training, and balance training can also be beneficial for overall health and fitness, strength training specifically targets the bone health concerns associated with osteoporosis.