Even at rest, the human body generates heat. The heat arises because of the body's metabolism - that is, the chemical reactions that are always occurring in the body to generate energy. In rooms designed for use by large groups, adequate ventilation or air conditioning must be provided to remove this heat. Consider a classroom containing 138 students. Assume that the metabolic rate of generating heat is 128 W for each student and that the heat accumulates during a 60-minute lecture. In addition, assume that the air has a molar specific heat of CV = 5/2R and that the room (volume = 1190 m^3, initial pressure = 1.01 x 10^5 Pa, and initial temperature = 21.0 °C) is sealed shut. If all the heat generated by the students were absorbed by the air, by how much would the air temperature rise?
Answer:
The value is \(\Delta T = 62.2 \ K\)
Explanation:
From the question we are told that
The number of students is \(N = 138\)
The metabolic rate for each student is \( r = 128 W\)
The time duration is \(t = 60 \ minutes = 3600 \ s\)
The molar specific heat of air is \(C_V =\frac{ 5}{2} R\)
The volume is \(V = 1190 \ m^3\)
The pressure is \(P = 1.01 *10^{5} \ Pa\)
The initial temperature is \(T_i = 21^o C = 294\)
Generally the metabolic rate of the students is
\( K = N * r \)
=> \(K = 138 *128\)
=> \(K = 17664 \ W\)
The total heat generated by the students is
\(H = K * t\)
=> \(H = 17664 * 3600\)
=> \(H =6.3590*10^{7} \ J \)
From the ideal gas law we can evaluate n (number of moles ) as
\(n = \frac{PV}{RT_i}\)
Here R is the gas constant with value \(R = 8.314 \ J / mol . K\)
So
\(n = \frac{1.01 *10^{5} * 1190 }{8.314 * 294}\)
=> \(n = 49171.2 \ moles \)
Generally the heat generated is mathematically represented as
\(H = n * C_V * \Delta T\)
=> \(H = n * (\frac{ 5}{2} *R)* \Delta T\)
=> \(\Delta T = \frac{2 * H}{n * 5 *R }\)
=> \(\Delta T = \frac{2 * 6.3590*10^{7}}{49171.2 * 5 * 8.314}\)
=> \(\Delta T = 62.2 \ K\)
Galaxies that are 400 million light years away have a red shift of 0.03 approximately. A radio wave coming from one of these galaxies has an observed wavelength of 125 meters. What is the emitted wavelength in meters and the observed frequency in Megahertz
Answer:
The correct answer is "121.36 meters and 2.40 MHz".
Explanation:
Given:
Red shift,
\(\frac{v}{c}=\frac{\lambda - \lambda_0}{\lambda_0} = 0.03\)
Wavelength,
\(\lambda = 125 \ meters\)
The observed frequency will be:
⇒ \(f = \frac{c}{\lambda}\)
\(=\frac{3\times 10^8}{125}\)
\(=24\times 10^5\)
\(= 2.40\times 10^6\)
\(=2.40 \ MHz\)
hence,
The Emitted wavelength will be:
⇒ \(\frac{125-\lambda_0}{\lambda_0} =0.03\)
\(\frac{125}{\lambda_0}-1 =0.03\)
\(125=1.03 \ \lambda_0\)
\(\lambda_0=\frac{125}{1.03}\)
\(=121.36 \ m\)
certain physical law is given by T = Kdxrs, where T is the period in seconds, d is the density, r is the distance, s is the coefficient of surface tension and k is a dimensionless constant. Use dimensional analysis to find the values of x, y and z. (Hint: s T2
Using the dimensional analysis, the values of x, y and z are 0, 0, and -1/2 respectively.
How to determine dimensional analysis?Starting with the given equation:
T = Kdx^r s^z
We can find the dimensions of each term:
[T] = T
[d] = M L⁻³
[r] = L
[s] = M T⁻²
[K] = 1 (dimensionless constant)
Now we can equate the dimensions of both sides of the equation:
[T] = [K] [d]^x [r]^y [s]^z
Simplifying:
[T] = [M]^x [L]^{-3x} [L]^y [M]^{z} [T]^{-2z}
Equating dimensions, we get the following system of equations:
x = 0
-3x + y = 0
z - 2z = 1
Solving for x, y, and z:
x = 0
y = 0
z = -1/2
Therefore, the values of x, y, and z are 0, 0, and -1/2, respectively.
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In Bolt’s fastest 100 meter, he accelerated from the starting block to a speed of 27.8 mi/hr in 9.58 s. What was his acceleration?
O 9.58 mi/hr/s
O 3.60 mi/hr/s
O 2.90 mi/hr/s
O 2780 mi/hr/s
Answer: 2.90mi/hr/s
Explanation:
Acceleration = Final Velocity - Initial over time
Acceleration = 27.8mi/hr over 9.58s.
Answer is 2.90mi/hr/s
Hope I Helped!
a cheetah running at a velocity of 18m/s accelerates at 1m/s² for 5sec what is the final velocity of the cheetah
A thermodynamic system consists of an ideal gas at an initial volume of 3.50 L and a pressure of 7.9 × 104 Pa. An external force performs 180 J of work as it compresses the gas at constant pressure. What is the new volume of the gas?
the new volume of the gas is 3.49 L when An external force performs 180 J of work as it compresses the gas at constant pressure.
An ideal gas is a theoretical gas comprised of numerous randomly moving point particles that do not interact with one another. The ideal gas notion is valuable because it obeys the ideal gas law, which is a simplified equation of state, and is susceptible to statistical mechanics analysis. Work is pressure times change in volume.
Given,
initial Volume V₁ = 3.5 L
initial pressure P = 7.9 × 10⁴ Pa
Work = 180J
Work W = PΔV
180 J = 7.9 × 10⁴ Pa × ( 3.5L - V₂ )
2.27 × 10⁻³ = 0.0035m³ - V₂
3.5 - 2.27 × 10⁻³ = V₂
V₂ = 3.49 L
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A toy car rolls down a slope. If it takes 5.94 s to accelerate from 3.22 m/s to 12.4 m/s, what is the value of the acceleration?
2.01 m/s2
1.35 m/s2
1.55 m/s2
0.219 m/s2
Answer:
a = 1.55m/s²
Explanation:
a = (v_f-v_0)/t
a = (12.4m/s-3.22m/s)/5.94s
a = 1.55m/s²
a What is meant by zero error?
b Give an example of when you would have to allow
for it.
a) It is the error present in the measuring instrument that causes it to register a value even when there is no input or output being measured.
b) An example of when you would have to allow for zero error is when using a measuring instrument like a vernier caliper or micrometer screw gauge.
a) Zero error refers to the deviation or discrepancy in the measurement instrument, where the indication or reading on the instrument is not zero when the quantity being measured is zero. In other words, it is the error present in the measuring instrument that causes it to register a value even when there is no input or output being measured.
Zero error can occur due to various reasons such as manufacturing defects, wear and tear, misalignment, or improper calibration of the instrument. It can be positive or negative, depending on whether the instrument reads higher or lower than the actual value.
b) An example of when you would have to allow for zero error is when using a measuring instrument like a vernier caliper or micrometer screw gauge. These instruments are commonly used to measure the dimensions of objects with high precision.
In a vernier caliper, for instance, zero error can occur when the jaws do not close perfectly when there is no object being measured. If the caliper shows a reading other than zero when the jaws are closed, it indicates the presence of zero error.
To obtain accurate measurements, the zero error needs to be accounted for and compensated. This can be done by adjusting the position of the zero on the scale or by subtracting the zero error value from the measured readings.
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in solid conductors, what is responsible for the flow of electrical current??
Answer:
Ussually, soft metals. or solid objects that allow the flow of eletrons.
Explanation:
Electric Current is the flow of electrons through a wire or solution. In a solid the electrons are passed from one positively charged metallic atom to next but in solution the electron is carried by the ions present in the solution. A solution capable of carrying charge is called an electrolyte.
In solid conductors, electron mobility is responsible for the flow of electrical current.
Electron mobility is principally responsible for the flow of electrical current in solid conductors. The subatomic particles known as electrons orbit the atomic nuclei of atoms and are negatively charged. The outermost energy levels of the atoms in a solid conductor, such as a metal like copper or aluminum, have numerous free or loosely bound electrons.
The conductor experiences an electric field that pulls on the free electrons when an electric potential difference (voltage) across its ends is applied (for example, by connecting it to a battery or power source). The electrons are propelled by this force toward the direction of the electric field.
Hence, in solid conductors, electron mobility is responsible for the flow of electrical current.
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The higher density a material the:
Faster the speed of light
Slower the speed of light
Speed of light stays the same
Speed of light cannot be determined
The higher density a material the: Slower the speed of light. Option C. slower the speed of light.
A material is considered high density material when it is endowed with more entity, or stuff gathered into a given space.
What is the relationship between a high density material and the speed of light?Higher-density materials is known to often have excess refractive indices. The greater the refractive index, the slower light travels through such material. In the same vain, lower-density materials normally have lesser refractive indices. Consequently, the lesser the refractive index, the faster light travels through the material.
Therefore, the correct answer is as given above.
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A 9,000 kg car moving at 8 m/s due east collides with a 12,000 kg SUV moving due west at 7m/s. After the collision, the 9,000 kg car moves due west at 6 m/s. Calculate the momentum of the SUV. Determine the speed of the SUV.
ANSWER
\(\begin{gathered} 42,000\operatorname{kg}m\/s \\ 3.5m\/s\text{ due East} \end{gathered}\)EXPLANATION
Parameters given:
Mass of car, m = 9,000 kg
Mass of SUV, M = 12,000 kg
Initial speed of car, u = 8 m/s (taking East to be the positive direction)
Initial speed of SUV, U = - 7 m/s (taking West to be the negative direction)
Final speed of car, v = -6 m/s
To find the final momentum of the SUV, we have to apply the principle of conservation of momentum, which states that:
This implies that:
\(p_{ic}+p_{is}=p_{fc}+p_{fs}\)where pic = initial momentum of the car, pis = initial momentum of the SUV, pfc = final momentum of the car, pfs = final momentum of the SUV
We can rewrite the formula above as follows:
\(mu+MU=mv+MV\)where MV represents the final momentum of the SUV.
Therefore, we have that the final momentum of the SUV is:
\(\begin{gathered} mu+MU=mv+p_{fs} \\ (9000\cdot8)+(12000\cdot(-7))=(9000\cdot-6)+p_{fs} \\ \Rightarrow72,000-84,000=-54,000+p_{fs} \\ \Rightarrow p_{fs}=72,000-84,000+54,000 \\ p_{fs}=42,000\operatorname{kg}m\/s \end{gathered}\)To find the speed of the SUV after the collision, we have to find the final speed of the SUV.
We have that from the formula for momentum:
\(\begin{gathered} p_{fs}=M\cdot V \\ \Rightarrow V=\frac{p_{fs}}{M} \end{gathered}\)Therefore, the final speed of the SUV is:
\(\begin{gathered} V=\frac{42,000}{12,000} \\ V=3.5m\/s \end{gathered}\)Since it is positive, the speed is due East.
Explain the advantages and disadvantages of having a racecar with a small mass in reference to Newton’s 1st law of motion. Use the term inertia in your answer.
Answer:
Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This tendency to resist changes in a state of motion is inertia.
Explanation:
When seismic waves encounter a new layer of earth materials they will either
telling us about the composition of that layer.
According to seismic waves, the Earth's interior is made up of a number of concentric shells, including a solid inner core, a liquid outer core, a mantle, and a thin outer crust.
What seismic waves, a new layer of earth materials?The wave's course will be bent or refracted as it enters the new layer if it moves at a different speed there. The wave will be somewhat curved in the direction of the contact between the two layers if it can move through it more quickly in the new layer.
Therefore, We can learn about just the layers that make up the Earth by understanding how waves behave as they pass through various materials.
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10. In a laboratory experiment, students recorded the
following length data: 12.2 cm, 12.1 cm, 12 cm,
11.9 cm, and 12.20 cm. (a) Determine the average
length and express the answer using the correct
number of significant figures. (b) Based on your
average length calculation in part (a), discuss the
importance of recording measurements to the
appropriate number of significant figures.
a) 12.1 Average.
B) It is important to record measurements to the correct number of significant figures because otherwise, the integrity of the number is compromised.
What does the average?A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint.The mean, median, and mode are the three primary varieties of average. Each of these methods operates slightly differently and frequently yields values typically a little off. The average that is most frequently used is the mean. You add all the values and divide this sum by the total number of values to obtain the mean value.Averages are mostly used to track changes over time within a sample group or cohort.Since averages can be used to compare different quantities of the same category, we employ them. The calculation of averages has limits since it cannot reveal how something is distributed among individuals. For instance, the distribution of income is not shown by per capita income.A) Determine the average length and express the answer using the correct number of significant figures:
12.2+12.1+12=36.3/3 = 12.1 Average.
B) Based on your average length calculation in part a, discuss the importance of recording measurements to the appropriate number of significant figures:
It is important to record measurements to the correct number of significant figures because otherwise, the integrity of the number is compromised.
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Places rich in limestone and gypsum have hard water . why ??
Answer:
Hard water is formed when water percolates through deposits of limestone, chalk or gypsum which are largely made up of calcium and magnesium carbonates, bicarbonates and sulfates.
Explanation:
Hard water is formed when water percolates through deposits of limestone, chalk or gypsum which are largely made up of calcium and magnesium carbonates, bicarbonates and sulfates.
Answer:
Hard water indicates a high amount of minerals.
Explanation:
This most often occurs when natural water sources pass through mineral deposits such as limestone or chalk. The process leads to a relatively high level of calcium, iron, and magnesium.
: How is a group of people pulling up on a bucket similar to the way a pulley system works? How is it different?
A group of people pulling up on by pulley is way easier than by pulling directly because a pulley system is a freight lift system that allows objects to be hoisted to higher floors with less force. The pulley mechanism is used for Wells to hoist the bucket out of the well. In order to operate, certain forms of gym equipment use pulleys. In order to lift and position heavy goods, building pulleys are used.
What is pulley?A wheel on an axle or shaft known as a pulley is used to transfer power from the shaft to the cable or belt or to sustain movement and direction change of a taut cable or belt. The supporting shell is known as a block, and the pulley may also be referred to as a sheave or a pulley wheel when it is supported by a frame or shell but does not transmit power to a shaft. For the purpose of locating the cable or belt, a pulley may include a groove or grooves between flanges around its circle. A rope, cable, belt, or chain may serve as the drive component of a pulley system. It is example of simple machines.
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The figure showed a thin rod of length L and charge Q.
Find an expression for the electric potential a distance z away from the center of rod on the line that bisects the rod.
Give your answer in terms of L, Q, z and appropriate constants.
Expression for the electric potential a distance z away from the center of rod on the line that bisects the rod is \(V = k * Q / L * \int\limits {cos\theta / z \sqrt{(1 + L^2/4z^2 * tan^2\theta)} d\theta} \, dx\).
The electric potential at a distance z from a point charge Q is given by:
V = k * Q / r
here
k is Coulomb constant and
r is distance from the point charge to the point.
For a thin rod of length L and charge Q, we can model it as a line of charge with linear charge density λ = Q/L. The electric potential at a distance z away from the center of the rod on the line that bisects the rod can be found by breaking the rod into infinitesimal charge elements and integrating the electric potential due to each element over the length of the rod.
Let's consider a small element of length dx located at a distance x from the center of the rod:-
\(dQ = \lambda * dx = Q/L * dx\)
The displacement element to pt.:-
\(r = \sqrt{(x^2 + z^2)}\)
The electric potential due to this element is:
\(dV = k * dQ / r = k * Q/L * dx / \sqrt{(x^2 + z^2)}\)
Integrating this expression over the length of the rod, we get the total electric potential at a distance z away from the center of the rod on the line that bisects the rod:
\(V = \int\limits^(^-^L^/^2^)_L_/_2 {k * Q/L * dx / √\sqrt{(x^2 + z^2)}} \, dx\)
To evaluate this integral,
\(u = x^2 + z^2, du/dx = 2x dx\),
This can be further simplified:-
\(u = z^2 * tan^2\theta + L^2/4 * sec^2\theta\)
\(V = k * Q / L * \int\limits {cos\theta / z \sqrt{(1 + L^2/4z^2 * tan^2\theta)} d\theta} \, dx\)
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A candle is sitting in front of a concave mirror at a distance of 18.0 cm. It is found that an image of the ca
25.0 cm. What is the focal length of the mirror?
03.52 cm
07.50 cm
O 10.4 cm
022.1 cm
Answer:
The focal length of the mirror is 10.4 cm.
Explanation:
The object distance ( d₀ ) ( distance of the candle from the mirror) is -18 cm.The Image distance ( dᵢ ) ( distance of the image from the mirror) is -25.0 cm.The mirror equation is 1/f = 1/d₀ + 1/dᵢ.So substitute the values of object distance and image distance in the mirror equation,
1/f = 1/(-18cm) + 1/(-25.0cm)
1/f = -25cm/(-18cm x -25cm) - 18cm/(-18cm x 25cm)
1/f = ( -25cm - 18cm)/(18cm x 25cm)
1/f = -43.0/450.0
f = -10.4651 cm.
The focal length of the mirror is approximately -10.4 cm.
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PLEASE HELP FAST what is the frequency of a wave that has a period of 50 seconds
A.0.2 Hz
B.2 Hz
C.0.02 Hz
D.20 Hz
Answer:
0.02 HZ
Explanation:
There is no way to explain it.
Answer:
C.0.02 Hz
Explanation:
Which in NOT a type of muscle?
a
Smooth
b
Flat
c
Cardiac
d
Skeletal
Answer:
flat lol, that's the answer
what would the velocity time graph look like for this position time graph
The velocity time graph would have the velocity used instead of the position in this position time graph.
What is Velocity time graph?This is referred to a plot between velocity and time and it helps to show the motion of the object that moves in a straight line.
We should note that the velocity-time graph reveals the speed of an object (and whether it is slowing down or speeding up), while the position-time graph describes the motion of an object over a period of time which is therefore why it was chosen as the correct choice.
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ectors are often drawn as rays with an arrow at one end. Why does it matter that the arrow is on the correct end of the vector?The arrow is used to define the frame of reference.The arrow represents the magnitude of the vector.The arrow represents the direction of the vector.The arrow can be placed at either end of the ray.
When drawing vectors, it matters where the arrow is placed. Vectors have one starting point and one endpoint, and the arrow must match the endpoint. This tells us the direction of the vector.
Therefore, the answer is option 3) The arrow represents the direction of the vector.
Need help please answer
Answer:
8 + 6 = 14 miles north
Explanation:
An electron and a positron collide head on, annihilate, and create two 0.804 MeV photons traveling in opposite directions. What was the initial kinetic energy of an electron? What was the initial kinetic energy of a positron?
Answer:
Ke- = Ke+ = 0.294MeV
Explanation:
To fins the kinetic energy of both electron and positron you use the following formula, for the case of annihilation of one electron an positron:
2\(E_p=2E_o+K_{e^-}+K_{e^+}\) (1)
Ep: photon energy = 0.804MeV
Eo: rest energy of one electron (and positron) = 0.51MeV
Ke-: kinetic energy of electron
Ke+: kinetic energy of positron
You replace the values of Ep and Eo in the equation (1):
\(K_{e^-}+K_{e^+}=2E_p-2E_o=2(0.804MeV-0.51MeV)=0.588MeV\)
Iy you assume both positron and electron have the same speed, then, the kinetic energy of them are equal, and the kinetic energy of each one is:
\(K_{e^-}=K_{e^+}=\frac{0.588MeV}{2}=0.294MeV\)
Examine the image and assess the relationship of the atoms shown by
The reactants in the given chemical equation are methane (CH₄) and oxygen (O₂), while the products are carbon dioxide (CO₂) and water (H₂O).
During a chemical reaction, the atoms of the reactants reorganize to form new compounds in the products. A chemical change is this atomic rearrangement.
What is a change in chemistry?A chemical change is the transformation of one or more substances into new ones with distinct chemical and physical properties. New substances are created when the original substances' atoms are rearranged and new chemical bonds are formed during a chemical change.
Typically, a transfer of energy in the form of heat, light, or sound occurs in conjunction with this kind of change. Reactions like combustion, oxidation, decomposition, and synthesis are all examples of chemical changes. Physical changes, on the other hand, involve alterations in a substance's physical properties without altering its chemical composition.
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What is believed to be at the center of the Milky Way galaxy or virtually all large galaxies?
Answer:
A black hole
Explanation:
I'm not sure, i just know that's the right answer
Donna and Dave were participating in a lab on the properties of water. First, they tried to see how many drops of water they could fit on a penny. Then they dropped water and alcohol on waxed paper and observed what happened. Next they made a streak of water and then alcohol on the lab bench. The alcohol streak dried up and disappeared first. Donna and Dave had to write an explanation for everything that happened during the lab. How can they explain the disappearing alcohol? A) Alcohol is flammable. B) Alcohol has a lower boiling point than water. C) Alcohol has a lower melting point than water. D) Alcohol has a higher boiling point than water.
Answer:
D
Explanation:
D ok ok ok ok bye
The correct statement is that the alcohol has lower boiling point than water. The correct option is B.
What is boiling point?At the boiling point, the pressure exerted by the surroundings on a liquid equals the pressure exerted by the liquid's vapor, under this condition, adding heat outcomes in the transformation of the liquid into its vapor without raising the temperature.
The boiling point of alcohol is low. Because there is less hydrogen bonding between ethanol molecules than between water molecules.
The ethanol requires less energy to vaporize than water, and water has a higher boiling point than ethanol.
The boiling point of a liquid can be known by utilizing the capillary method, that encompasses placing an inverted capillary in the liquid of interest as well as heating it.
Thus, the correct option is B.
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Can someone please help me with this problem. I’ve tried but I can’t seem to figure it out.
A blue shark accelerates at a rate of 16m/s for a time of 0.8s. During this time it travels a
distance of 11.52m. Calculate its initial speed.
Answer:
The initial velocity of this shark is \(8.0\; \rm m \cdot s^{-1}\). (Assuming that the unit of the acceleration in this question is \(\rm m\cdot s^{-2}\).)
Explanation:
Let \(a\) denote the acceleration of this shark.
Let \(v_0\) denote the initial velocity of this shark.
Assume that the acceleration \(a\) of this shark is constant (as it is in this question.) Over a period of time \(t\), the shark would have travelled a distance of:
\(\displaystyle x = \frac{1}{2}\, a\, t^2 + v_0\, t\).
This question states that:
\(x = 11.52\; \rm m\), \(t = 0.8\; \rm s\). (That is: this shark travelled a distance of \(11.52\; \rm m\) in \(0.8\; \rm s\).)\(a = 16\; \rm m \cdot s^{-2}\) (the acceleration of this shark is indeed a constant.)This question is asking for \(v_0\), the initial velocity of this shark at the beginning of this \(0.8\)-second period. Substitute the three known values into the equation:
\(\displaystyle 11.52 = \frac{1}{2}\times 16\times (0.8)^2 + 0.8\, v_0\).
Solve for \(v_0\):
\(v_0 = \displaystyle \frac{11.52 - (1/2) \times 16 \times (0.8)^2}{0.8} = 8.0\; \rm m \cdot s^{-1}\).
I need guidance pls