A) Therefore, the amount of work performed by heart is \($2.9289 \times 10^{-3} \mathrm{~J}\)
b) Therefore, the power require is \($0.013313 \mathrm{~W}\)
c) Therefore, the efficiency of heart is\($0.2219 \%$.\)
What work is done by the heart?A) Calculate the amount of the work performed by the heart during the systole by using the following relation:
\($$\begin{aligned}W & =\frac{1}{2} m_b v^2 \\& =\frac{1}{2}\left(\rho_b A v\right) v^2 \\& =\frac{1}{2} \rho_b A v^3 \\& =\frac{1}{2} \rho_b\left(\frac{\pi}{4} d^2\right) v^3 \\& =\frac{1}{2} \times 1.057 \times 10^3 \times\left(\frac{\pi}{4} \times(0.029)^2\right) \times(0.2032)^3 \\& =2.9289 \times 10^{-2} \mathrm{~J}\end{aligned}$$\)
Therefore, the amount of work performed by heart is \($2.9289 \times 10^{-3} \mathrm{~J}$.\)
b) Calculate the power during systole by using the following relation:
\($$\begin{aligned}P & =\frac{W}{t} \\& =\frac{2.9289 \times 10^{-3}}{0.22} \\& =0.013313 \mathrm{~W}\end{aligned}$$\)
Therefore, the power require is \($0.013313 \mathrm{~W}$.\)
C) Calculate the efficiency of the heart by using the following relation:
\($$\begin{aligned}\eta & =\frac{P_{\text {out }}}{P_{\text {ov }}} \\& =\frac{0.013313}{6} \\& =0.0022188(0.2219 \%)\end{aligned}$$\)
Therefore, the efficiency of heart is\($0.2219 \%$.\)
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Future space stations could create an artificial gravity by rotating. Consider a cylindrical space station that rotates with a period of 28 seconds about its axis. Astronauts walk on the inside surface of the space station, and they experience an Earth-like gravitational acceleration of 9.8 m/s2. What is the diameter of the space station?
510m
145m
660m
390m
Answer:
P = 2 pi R / v period of space station
F / m = v^2 / R centripetal force per unit of mass
So F / m = 4 pi^2 R^2 / (P^2 * R) = 4 pi^2 R / P^2
Also, F / m = 9.8 m/s^2 earth's gravitational attraction
So 9.8 = 4 pi^2 R / P^2 or R = 9.8 P^2 / 4 * pi^2) = 195 m
Or D = 2 R = 390 m the diameter required
If a pool and a cup of water had the same temperature, which would have greater thermal energy?Why?
Despite being the same temperature, the swimming pool is a much larger thermal energy store than the beaker of water.
What is thermal energy?Thermal energy is the energy contained within a system that controls its temperature. The flow of thermal energy is defined as heat.
Thermodynamics is a branch of physics that deals with how heat is transferred between different systems and how work is done in the process.
Thermal energy sources include natural gas, coal, and oil, as well as solar, heat pump electric, and geothermal heat.
A swimming pool and a beaker of water can both be the same temperature.
Despite being the same temperature, the swimming pool contains significantly more thermal energy than the beaker of water. A heated swimming pool's thermal store contains a lot of energy.
Thus, If a pool and a cup of water had the same temperature, then swimming pool has a much larger thermal energy.
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The decibel rules of thumb can be combined. (a) If a sound has intensity xdB, how many dB does a sound 100 times more intense have? (b) If another sound has intensity ydB, how many dB does a sound 4 times less intense have? (c) Combine what you know about (a) and (b): If a sound has intensity zdB, how many dB does a sound 25 times more intense have?
Why the tyres are in circular shape?
Use the following information to answer questions 2-4. Two people are playing a game of
tug-of-war with the rope attached to a mass of 25 kg at the center. The person pulling to
the left pulls with a force of 20 N. The person pulling to the right pulls with a force of 10 N.
2. Which direction will the 25 kg mass move?
a. Left
b. Right
C. It will not move
How do you know?
What will the velocity of the mass be after 1 second?
What will the velocity of the mass be after 2 seconds?
The direction in which the 25 kg mass will move is to the Left. The correct option is A.
This is because the force pulling to the left is greater than that to the right.
The velocity of the mass after 1 second will be 0.4 m/s
The velocity of the mass after 2 seconds will be 0.8 m/s
What is the net force on the mass of 25 kg?The net force o the mass of 25 kg is given below:
Net force = 20 N - 10 N
Net force = 10 N
The velocity of the mass is given by the formula below:
Velocity = net force * time / mass
velocity after 1 second = 10 * 1 / 25
velocity after 1 second = 0.4 m/s
velocity after 2 seconds = 10 * 2 / 25
velocity after 2 seconds = 0.8 m/s
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Which of the following sets of quantum numbers represents the highest energy of an atom?A. n = 3, l = 0, m = 0, s = +1/2B. n = 3, l = 1, m = 1, s = +1/2C. n = 3, l = 2, m = 1, s = +1/2D. n = 4, l = 0, m = 0, s = +1/2
(c) n=3,1=2,m=1,s=+1/2 this set of quantum number represents the highest energy of atom
Correct option is C)
The sets of the quantum numbers and the corresponding orbitals are as shown below.
a)n=3,l=0 means 3s− orbital
b)n=3,l=1 means 3p− orbital
c)n=4,l=2 means 4d− orbital
d)n=4,l=0 means 4s− orbital
Increasing order of energy among three orbitals is 3s<3p<4s<4d
∴4d has highest energy.
Hence, the set c of quantum numbers (n=4,l=2,m=1,s=+1/2) represents the highest energy of an atom.
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a kayaker moves 26 meters southward, then 18 meters northward, and finally 12 meters southward.
What is the magnitude and direction of the displacement?
Answer:
Explanation:
26 - 18 + 12 = 20 m south
A father wants his son to start helping his mother do the do laundry. According to social learning theory, the father should
Answer:
Help out with the laundry himself.
Explanation:
In social learning theory, it's a process where people tend to observe the actions of others and then imitate them.
Now, since this father wants to teach his son to start helping his mother do the do laundry, what he can do according to social learning theory is to help with the laundry himself first.
A 25 kg block is pulled with an applied force of 200 N across a horizontal surface. The block experiences a frictional force of 75 N.
a. Draw a Free Body Diagram for the block, including all forces acting on the block.
b. Determine the Net Force acting on the block.
c. Calculate the acceleration of the block.
A 25 kg block is pulled with an applied force of 200 N across a horizontal surface. The block experiences a frictional force of 75 N. The Net Force acting on the block is 125 N. The acceleration of the block is 5 m/s².
What is net force ?The term net force is defined as the sum of all the forces acting on an object. Net force can speed up a mass. Some other force acts on a body either at rest or in motion. The net force is a term utilized in a system when there is a significant number of forces.
A. a Free Body Diagram for the block, including all forces acting on the block is attach in image below.
B.Net force acting on the block
F = 200 - 75
= 125 N
F = 125 N
C. Acceleration of the block
Ma = 125
a = 125/ 25
a = 5 m/s²
Thus, the Net Force acting on the block is 125 N. The acceleration of the block is 5 m/s².
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B. PROBLEM SOLVING (Write your complete solution.) 1. A ball rolling in a straight line slows down from 150 cm/s to 50 cm/s in 10 s. What is its acceleration?
Answer:
a(acceleration)=-10m.s^-2
Explanation:
Provided in the attachment.
If the speed of a wave is 330m/s and the period of a wave is 0.0006s what is the wavelength?
Answer:
0.198m
Explanation:
see picture for full solution
vertical columns in the periodic table represent a group or family of elements that have the same number of valence electrons by having similar electron configurations elements in the same group have similar properties list elements that have similar properties
The examples of elements with similar properties in the same group are fluorine, chlorine, bromine and iodine.
What is group of elements in a periodic table?
The groups in periodic table is the same as vertical columns in the periodic table
These groups represent a group or family of elements that have the same number of valence electrons by having similar electron configurations elements in the same group have similar properties.
Examples of elements found in the same group with similar chemical properties include;
group 7 elements.
FluorineChlorineBromineIodineThe valence electron of elements found in the group 7 of periodic table is negative 1 (-1).
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What are some superheroes that resemble neurotransmitter functions. Dopamine: Acetylcholine: Endorphins: GABA: Glutamates: Norepinephrine: Serotonin:
Answer:
Serotonin
___________
An automobile is traveling on a long, straight highway at a steady 80.0 mi/h when the driver sees a wreck 190 m ahead. At that instant, she applies the brakes (ignore reaction time). Between her and the wreck are two different surfaces. First there is 100 m of ice, where the deceleration is only 1.20 m/s2 . From then on, it is dry concrete, where the deceleration is a more normal 6.80 m/s2 .
a) What was the car’s speed just after leaving the icy portion of the road?
b)What is the total distance her car travels before it comes to a stop?
c)What is the total time it took the car to stop?
Answer:
a) The car’s speed just after leaving the icy portion of the road is the first part
Explanation:
Why did humans first develop culture?
A. It helped humans distinguish themselves from wild animals.
B. It helped humans become the dominant species on Earth.
C. It helped the members of a society survive in their environment.
D. It helped individuals survive without the support of a society.
SUBMIT
Answer: C.
Correct me if I'm wrong.
If electrons are added to an object the object becomes
charge.
negative
positive
neutral
nothing happens
Answer:
It can be either, depending on how much and how you add the electrons
A 50.0 kg rock starting from rest free falls through a distance of 300.0 m with no air resistance. Find the momentum change of the rock caused by its fall and the resulting change in the magnitude of earth’s velocity. Earth’s mass is 6.0 × 1024 kg. Show all your work, assuming the rock-earth system is closed
Answer:
Momentum change of the rock = 3835 kgm/s
Chane in earth's velocity = 6.4 x 10⁻²² m/s
Explanation:
m = 50.0 kg, M = 6.0 x 10²⁴ kg
d = 300.0 m
final velocity of rock = v, v² = 2gd = 2 * 9.81 * 300, so v = 76.7 m/s
Momentum change of the rock = mv = 50.0 * 76.7 = 3835 kgm/s
Inital momentum of the rock+earth system = 0
final momentum = 0 (momentum conservation)
momentum of rock and momentum of earth are same magnitude and opposite directions.
mv - MV = 0
Chane in earth's velocity = mv/M = 3835/(6.0 x 10²⁴) = 6.4 x 10⁻²² m/s
Space explorers discover an 8.7 × 1017 kg asteroid that happens to have a positive charge of 4400 C. They would like to place their 3.3 × 105 kg spaceship in orbit around the asteroid. Interestingly, the solar wind has given their spaceship a charge of -1.2 C.
What speed must their spaceship have to achieve a 8300-km-diameter circular orbit?
We have that the speed of the spaceship must be
\(V=2.47m/s\)
From the Question we are told that
Mass \(8.7*10^{17} kg\)
Positive charge of 4400 C
Spaceship mass m_s=3.3* 10^5 kg
Solar wind has given their spaceship a charge of -1.2 C.
Diameter d=8300-km-diameter
Generally the equation for the force of attraction is mathematically given as
\(v^2=\frac{Gm}{r}+\frac{kQq}{rm}\\\\v^2=\frac{6.67*10^{-11}*8.7*10^{17}}{9.5*10^5}}+\frac{9*10^9*4400*-1.2}{9.5*10^5*3.3*10^{15}}\)
\(V=2.47m/s\)
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The speed will be "6.98 m/s". A complete solution is provided below.
The given values are:
Mass of asteroid,
M = \(8.7\times 10^{17}\) kgMass of spaceship,
m = \(3.3\times 10^{5}\) kgCharge,
\(q_1=4400 \ C\)\(q_2=1.2 \ C\)As we know,
→ \(F_G +F_E = \frac{mv^2}{R}\)
or,
→ \(\frac{GMm}{R_2} +\frac{kq_1 q_2}{R_2}=\frac{mv^2}{R}\)
By putting the given values, we get
→ \(\frac{6.67\times 10^{-11}\times 8.7\times 10^{17}\times 3.3\times 10^5}{\frac{8.3\times 10^6}{2} } +\frac{9\times 10^9\times 4400\times 1.2}{\frac{8.3\times 10^6}{2} } = 3.3\times 10^5\times v^2\)
→ \(v=6.98 \ m/s\)
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A ball is thrown downwards from a height of 25m with an initial velocity of 10 m/s.
Find the velocity of the ball just before it hits the ground.
•V₁=10mls
h=25m
The velocity of the ball just before it hits the ground is 24.29m/s.
What is acceleration due to gravity?
The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s2 is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on earth's surface is 9.8 m/s2.
Given:
Initial velocity u = 10m/s
height h = 25m
we know that the acceleration due to gravity g is : 9.8m/s
Therefore using the formula,
v² - u² = 2gs where s is the height in this case and v is the final velocity.
v² - 10² = 2 x 9.8 x 25
=> v² = 490 + 100
=> v = √590
=> v = 24.29m/s
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A shaft carries five masses A, B, C, D and E which revolve at the same radius in planes
which are equidistant from one another. The magnitude of the masses in planes A, C and
D are 50 kg, 40 kg and 80 kg respectively. The angle between A and C is 90° and that
between C and D is 135°. Determine the magnitude of the masses in planes B and E and
their positions to put the shaft in complete rotating balance.
The magnitude of the masses in planes B and E is 40 kg, and their positions are 120° and 240°, respectively, from the reference point on the shaft to achieve complete rotating balance.
To achieve complete rotating balance, the sum of the moments of the masses in planes A, C, D, B, and E should be equal to zero. Let's determine the magnitude of the masses in planes B and E and their positions.
Consider the moments of the masses in planes A, C, and D. The moment of a mass is given by the product of its magnitude and the sine of the angle between the mass and a reference line. The moments of masses A, C, and D are:
Moment of A = 50 kg * sin(0°) = 0 kg·m,
Moment of C = 40 kg * sin(90°) = 40 kg·m,
Moment of D = 80 kg * sin(135°) = -80 kg·m.
Since the moments of A, C, and D are known, we can use the principle of complete rotating balance to determine the magnitude and position of the masses in planes B and E.
Let's assume the magnitude of the masses in planes B and E as M. The moments of masses B and E can be represented as:
Moment of B = M * sin(120°) = M * √(3)/2,
Moment of E = M * sin(240°) = -M * √(3)/2.
Using the principle of complete rotating balance, the sum of the moments should be zero. Thus, we have:
Moment of A + Moment of C + Moment of D + Moment of B + Moment of E = 0.
0 + 40 kg·m + (-80 kg·m) + M * √(3)/2 + (-M * √(3)/2) = 0.
Simplifying the equation:
40 kg·m - 80 kg·m + M * √(3)/2 - M * √(3)/2 = 0,
-40 kg·m = 0.
From the equation, we can deduce that M must be equal to 40 kg to satisfy the condition of complete rotating balance.
Finally, we determine the positions of masses B and E. Since planes A, C, D, B, and E are equidistant from one another, and the angle between A and C is 90°, we divide the circle into 360°/5 = 72° sections. Thus, the positions of masses B and E are:
Position of B = 0° + 2 * 72° = 144°,
Position of E = 0° + 4 * 72° = 288°.
Therefore, the magnitude of the masses in planes B and E is 40 kg, and their positions to put the shaft in complete rotating balance are 144° and 288°, respectively, from the reference point on the shaft.
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a) a drone flies 150 m to southwest (directly between south and west), then flies 85 m directly south, and finally flies 550 m in the direction 35 degrees north of east. Use the analytical method to find the resultant displacement of the drone (magnitude and direction)
you can help with a
The resultant of the displacement is 336.5m
What is resolution of vectors?The process of splitting a vector into its components is called resolution of the vector. The vectors are splitted into vertical and horizontal component.
For the first displacement;
The vertical component = - 150 sin45 = -106.1 m
The horizontal component = - 150 cos 45° = -106.1 m
For the second displacement;
The vertical displacement = - 85sin90 = -85
The horizontal component = 0
For the third displacement;
The vertical displacement = 550 sin55 = 450.5
The horizontal displacement = 550 cos 55 = 315.5
Sum of vertical component = 450.5-85-106.1 = 263.4
sum of horizontal component = 315.5 -106.1 = 209.4
Using Pythagorean theorem
R = √ 263.4² + 209.4²
R = √113227.92
R = 336.5m
The resultant angle = tan^-1( 263.4/209.4)
= tan^-1(1.26)
= 51.56°
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A faulty fireworks rocket launches but never discharges. If the rocket launches
with an initial velocity of 33.0 ft/s at an angle of 85.0°, how far away from the
launch site does the rocket land?
Answer:
a fireworks display, a rocket is launched from the ground with a speed of 18.0 m/s and a direction of 51.0∘ above the horizontal. During the flight, the rocket explodes into two pieces of equal mass (see Fig. 8.32). (a) What horizontal distance from the launch point will the center of mass of the two pieces be after both have landed on the ground? (b) If one piece lands a horizontal distance of 26.0 m from the launch point, where does the other piece land?
what is the difference between the rotation period and revolution period of the moon
Answer:
the rotation period is that one rotation,one day or 24 hrs.
the revolution period is that one revolution,one year
Answer:
The rotation period and revolution period of moon is same.
Explanation:
Because,The moon keeps the same face pointing towards the Earth bcoz it's rate of spin is tidally locked so that it is synchronised with it's rate of revolution.
Therefore it's rotation and revolution period is once about every 27 days.
Hope this helps u..
How large is a neutrino?
1 picometer
1 gigameter
1 yoctometer
1 nanometer
Which are different forms of an element that have different numbers of neutrons?
ions
isotopes
compounds
molecules
.
.
Answer:A
Explanation:
Isotopes are members of a family of an element that all have the same number of protons but different numbers of neutrons. The number of protons in a nucleus determines the element's atomic number on the Periodic Table.
Using the same cost and time estimates, consider any trade-offs that Drehex Corporation may have to make to complete the project. Camilla John Nora Oracio Cost per Hour $40 $30 $20 $15 Time to Complete Job 20 hours 30 hours 40 hours 50 hours Ideally, the process of technological design should be cost-effective and time-effective. However, sometimes this is simply not possible and trade-offs are necessary. Explain the trade-offs Drehex Corporation may have to make to complete the project.
Drehex Corporation may need to make trade-offs between cost and time to complete the project, considering the hourly rates and time estimates of their team members.
Corporation may have to make several trade-offs to complete the project based on the cost and time estimates provided. Here are some possible trade-offs they may need to consider:
Cost vs. Time: The corporation may need to decide whether to prioritize completing the project quickly or keeping the costs low. If they want to minimize costs, they might opt for a longer completion time by choosing a team member with a lower cost per hour. Conversely, if time is crucial, they might choose a team member with a higher cost per hour to expedite the process.Expertise vs. Cost: The team members have different levels of expertise, as indicated by their respective costs per hour. Drehex Corporation may need to evaluate the trade-off between the level of expertise required for the project and the associated cost. They might decide to invest more in a highly skilled team member to ensure the quality and efficiency of the project, even if it means incurring higher costs.Resource Allocation: The corporation will need to allocate resources effectively among the team members to ensure a balanced workload. They may need to assign tasks and responsibilities based on individual strengths and expertise, considering the trade-off between utilizing the most capable team members and maintaining a fair distribution of work.Quality vs. Time/Cost: The trade-off between project quality and time/cost is a common consideration. If Drehex Corporation wants to deliver a high-quality output, they might need to allocate more time and resources to ensure thoroughness and attention to detail. Conversely, if time or cost constraints are significant factors, they may need to compromise on certain aspects of quality to meet project deadlines or budget limitations.Ultimately, the trade-offs Drehex Corporation makes will depend on their specific project goals, budget, timeline, and the importance they place on factors such as cost-effectiveness, timeliness, expertise, and quality. Balancing these trade-offs effectively is crucial for successful project completion.
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Answer:
Sample Response: Oracio is the most cost-effective choice because he would cost the least to complete the project. However, he would also take the longest amount of time. Camilla could complete the job the fastest, but she costs more than Oracio. Drehex Corporation will have to decide if it is more important to save money or complete the work quickly to meet the deadline.
Explanation:
Write 5.34 x 10^3 in standard form.
\(\\ \bull\tt\dashrightarrow 5.34\times 10^3\)
\(\\ \bull\tt\dashrightarrow 534\times 10^{-2}\times 10^3\)
\(\\ \bull\tt\dashrightarrow 534\times 10^{-2+3}\)
\(\\ \bull\tt\dashrightarrow 534\times 10^1\)
\(\\ \bull\tt\dashrightarrow 534\times 10\)
\(\\ \bull\tt\dashrightarrow 5340\)
The same amount of thermal energy was added to two equal masses of Aluminum and Iron. The specific heat of Aluminum is double the specific heat of iron. If the temperature of the Aluminum's mass changes by /\T, what is the change in the Iron's mass temperature?
Answer:
it is double the temperature change of iron
4. How many excess electrons does a balloon that was rubbed on a child's hair and
now has a charge of 4.0 x 107 Coulombs?
The number of excess electrons is 4.0 x 107 Coulombs divided by 1.60 x 10-19 Coulombs, which is 2.5 x 1026 electrons.
What is electrons?Electrons are particles of matter that carry a negative electrical charge. Electrons are the smallest particles in the atom and are responsible for most of the atom's mass. Electrons orbit around the nucleus of the atom and are held together by the electromagnetic force. Electrons have a property called spin, which can have a value of either +1/2 or -1/2. Electrons are found in all elements and are important in chemical reactions as they are able to move around and form bonds with other atoms. Electrons are also important in electricity and magnetism.
The number of excess electrons on the balloon is equal to the charge of the balloon divided by the charge of an electron. Since the charge of an electron is 1.60 x 10-19 Coulombs, the number of excess electrons is 4.0 x 107 Coulombs divided by 1.60 x 10-19 Coulombs, which is 2.5 x 1026 electrons.
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d. At a construction site, a crane lifts a steel beam with a mass of 400 kg.
i. What is the gravitational potential energy added to the steel beam when the beam reaches
a height of 80 m? (1 point) Show work to receive credit.
As per the given statement the gravitational potential energy added to the steel beam when the beam reaches height of 80 m is 320000 J or 3.2×105 J.
What is Gravitational potential energy?Gravitational potential energy is the energy possessed or acquired by an object due to a change in its position when it is present in a gravitational field.
What is Potential energy?Potential energy, in physics is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.
Given data is:
Mass of steel beam is=400 kg
Height which it reaches= 80 m
So to find the gravitational potential energy added to the steel beam when the beam reaches height of 80 m we do as follows.
Use the given below formula to find gravitational potential energy
U = m × g × h where U is the GPE ,m is the mass, g is the gravitational constant and h is the height attained
So putting the given values in the equation we get:
U = m × g × h
U= 400×9.8×80
U= 320000 J
Hence, the gravitational potential energy added to the steel beam when the beam reaches height of 80 m is 320000J or 3.2×105 J.
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