1) The overall potential difference across the capacitor is 1.66 V.
2) The charge on each capacitor is 1.66 C.
3) The energy stored in the combination will be 1.3778 J.
What is a capacitor?A capacitor is a device that stores electrical energy in an electric field by accumulating electric charges on two insulated surfaces. It is a two-terminal passive electronic component. Capacitance is the effect of a capacitor.
Given that three capacitors of capacitance 1 micro Farad, 2 microfarads and 2 microfarads are each charged to 250 volts and then connected in series.
Q₁ = C₁Vt
Q₁ = 1 x 5 = 5 μF
Q₂ = C₂Vt
Q₂ = 2 x 5 = 10 μF
The equivalent capacitance will be,
1 / Ct = 1 / C₁ + 1 / C₂
Ct = 2 / 3 μF
Vt = 10 / 3 ÷ 2
Vt = 1.66 V
The charge will be,
q =CV
q = 1 x 1.66
q = 1.66 C
The energy will be calculated as:-
U = 1/2 x C xV
U = 1 / 2 x 1 x 1.66²
U = 1.3778 J
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The equations for heating a house use are are given giveby by Eqs. andce in a particular case can be written with time in hours as Th - To C (dT h )/dt = Ku - (Th -To)/R
where (a) Cis the thermal capacity of the house, BTU/°F. (b) Th is the temperature in the house, °F, (c) T0 is the temperature outside the house, (d) K is the heat rating of the furnace, 90,000 BTU/h, (e) R is the thermal resistance, °F per BTU/h, (0 istt furmace wichh fci on ifa is off. It is measured that, with the outside temperature at 32°F and the house at 60°F, the furnace raises the temperature 2°F in six min (0.1 h). With the furnace off, the house temperature falls 2°F in 40 min. What are the values of C and R for the house?
We can use the given equation for the temperature change in the house to determine the values of C and R:
Th - To C (dTh)/dt = Ku - (Th - To)/R
How to find temperature change?utilising the knowledge that the furnace raises the temperature by 2°F every 0.1 h, we can calculate the value of K/R:
K/R is equal to (Th-to)/(Ku-(Th-to)/R)
(Th - 60°F)/(90,000 BTU/h - (Th - 60°F)/R) = 2°F/0.1h
When we simplify and find R, we obtain:
R is calculated as (Th - 60°F)/(45,000 BTU/h - 0.5*(Th - 60°F)).
Next, we may calculate the value of C using the knowledge that, with the furnace off, the house temperature drops 2°F in 40 minutes (0.67 h):
C (dTh)/dt = -2°F/0.67h
Using a C-solve, we obtain:
-2°F/(0.67h dTh/dt) = C
We can solve for Th by substituting the value of R that we discovered before into the equation for K/R:
(Th - 60°F)/(90,000 BTU/h - (Th - 60°F)/R) = 2°F/0.1h
ThR - 60,000 + 90,000 Th - Th2 = 2,000 BTU
Th = 57.7°F or 62.3°F
We can use the temperature change information to determine which value of Th is the correct one. Since the furnace raises the temperature in the house, the correct value of Th is 62.3°F.
Substituting the values of Th, To, K, and R into the equation for C, we get:
C = -2°F/(0.67h × (dTh/dt))
C = -2°F/(0.67h × (62.3°F - 60°F)/(0.1h))
C = 167,910 BTU/°F
Substituting the values of Th, To, K, and R into the equation for R, we get:
R = (Th - 60°F)/(45,000 BTU/h - 0.5*(Th - 60°F))
R = (62.3°F - 60°F)/(45,000 BTU/h - 0.5*(62.3°F - 60°F))
R = 0.00038°F·h/BTU
Therefore, the values of C and R for the house are C = 167,910 BTU/°F and R = 0.00038°F·h/BTU.
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To help psychologists separate uninformed opinions from examined conclusions, psychologists ________ to conduct research.
use hindsight bias
use overconfidence
perceive patterns in random events
use the scientific method
To help psychologists separate uninformed opinions from examined conclusions, psychologists use the scientific method to conduct research. Thus, the correct option for this question is D.
What is the Scientific method?The scientific method may be defined as the process of objectively establishing facts through testing and experimentation.
The basic process involves making an observation, forming a hypothesis, making a prediction, conducting an experiment, and finally analyzing the results.
Psychologists generally employ the scientific method before stating the question, offering a theory, and then constructing rigorous laboratory or field experiments to test the hypothesis.
Therefore, to help psychologists separate uninformed opinions from examined conclusions, psychologists use the scientific method to conduct research. Thus, the correct option for this question is D.
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If a car is pushed with a force of 18N for 8m, how much work has been done?
According to the question, for a car with a force of 18 N and displacement of 8 m, the work done by a car is calculated as 144Nm.
What is force?Force may be defined as a process of pushing or pulling on an object that significantly produces acceleration in the body on which it acts. It is an external agent capable of changing a body's state of rest or motion. It has a magnitude and a direction.
According to the question,
The force applied on a car = 18 N
The displacement made by a car = 8m.
Now, the work done is calculated with the help of the given formula:
Work done = Force × Displacement.= 18 N × 8m = 144Nm.
Therefore, the work done by a car is calculated as 144Nm.
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Finding an unknown weight
As shown, a mass is hung from the pulley. This mass causes a tensile force of 16.0 N in the cable and the pulley to hang h=130.0 cm from the ceiling. Assume that the pulley has no mass. What is the weight of the mass?
Found W to be 27.7 N
b) Finding the mass of the pulley
As shown, an object with mass m=5.8 kg is hung from a pulley and spring system. When the object is hung, the tension in the cable is 41.8 N and the pulley is h=147.2 cm below the ceiling.
Because the tensile force is greater than the object's weight, the pulley cannot be massless as assumed. Find the mass of the pulley. For this problem, use g
=
9.81
m
/
s
2
. Not 1.95 kg
The unknown weight is 16 N and the mass of the pulley is 4.26 kg.
What is the unknown weight?
The weight of the mass can be found using the formula;
W = T
where;
T is the tension in the cable,so W = 16.0 N.
To find the mass of the pulley, we need to take into account its weight and the tension in the cable. Since the tension is greater than the weight of the object, we know that the tension is also supporting the weight of the pulley.
T - m_pulley x g = 0
where;
m_pulley is the mass of the pulley and g is the acceleration due to gravity.m_pulley = T/g
= 41.8 N/9.81 m/s^2 = 4.26 kg
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the three forces are applied to the bracket. determine the range of values for the magnitude of force p so that the resultant of the three forces does not exceed 2400 n. Force P is always directed to the right.
Range of values for given condition will depend on magnitude and directions of the three given forces. [tex]|R| < = 2400 N[/tex]
To find the range of values for the magnitude of force P so that the resultant of the three forces does not exceed 2400 N, find magnitude and direction.
We can do this by using vector addition. Adding the three forces together, we get:
R = F1 + F2 + F3
where F1, F2, and F3 are the magnitudes and directions of the three given forces, and R: magnitude with resultant force direction.
To ensure that the resultant force does not exceed 2400 N, we must have:
|R| <= 2400 N
Therefore, we need to find the range of values for the magnitude of force P that satisfy this inequality.
The magnitudes and directions of the three given forces are not specified in the problem, so we cannot provide a specific numerical answer. However, we can provide a general method for solving the problem.
To find the range of values for the magnitude of force P, we can first find the maximum and minimum values of the magnitude of the resultant force for different values of P. We can then find the range of values of P that satisfy the inequality above.
This can be done numerically by using vector addition and trigonometry to find the magnitude and direction of the resultant force for different values of P. Alternatively, we can use graphical methods such as force polygons or vector diagrams to visualize the resultant force and find the range of values of P that satisfy the inequality.
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10 pennies, each with a mass of 3.11 grams, are heated to a temperature of 112 degrees celsius and then dropped into a beaker of water
containing 200 grams of water at 25 degrees celsius. To what temperature will the water heat up to?
C copper = 387 J/kg C
C water = 4186 J/kg C
A-26C
B-29C
C-33C
D-39C
Answer:
Explanation:a
A piece of wire is cut into two pieces, A and B, which are then tightly stretched and moun rigid walls. A and B have the same stretched lengths, but A is stretched more tightly following quantities will always be larger for waves on A than for waves on B? a) amplitude of the wave b) frequency of the first harmonic c) wave velocity d) wavelength of the first harmonic e) both b and c
The correct answer is e) both b and c.
The quantities that will always be larger for waves on A than for waves on B are the frequency of the first harmonic and the wave velocity.
The frequency of the first harmonic is determined by the tension in the wire. Since A is stretched more tightly than B, the frequency of the first harmonic will be larger for waves on A than for waves on B.
The wave velocity is also determined by the tension in the wire. A higher tension results in a higher wave velocity. Therefore, the wave velocity will also be larger for waves on A than for waves on B.
The amplitude and wavelength of the first harmonic are not affected by the tension in the wire, so they will not be larger for waves on A than for waves on B.
In conclusion, the frequency of the first harmonic and the wave velocity will always be larger for waves on A than for waves on B.
Therefore, the correct answer for quantities that will be larger for waves on A than for waves on B is option e) both b and c.
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a 50-kg rock climber accidently falls from the side of a rock and free falls until they are stopped by their 9-m safety rope. assuming the rope stops them completely, with no rebound, what is the impulse imparted on their body by the rope.
The velocity immediately following is zero since there was no rebound. 665 kg/s.
What does it mean when something is "freely falling"?In free fall, an object drops steadily. The speed of something falling freely is constant. There is no resistance to the object's descent caused by gravity when it is in free fall. An object falling freely encounters air resistance in the absence of any additional resistance.
According to the given information:
The impulse is given by:
J = change in momentum
J=m(va−vb )
where
va=velocity after
vb=velocity before
The velocity just before is given by
vb=2∗9.81m/s 2∗9m(under root)
=13.3m/s(− j )
Because there were no rebound, the velocity immediately following is zero.
As a result, the impulse is equal to 50(0+13.3m/s(j) = 665kg..
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The mass is 18 kg. The velocity is 4.7 m/s. What is the kinetic energy?
The kinetic energy is 4400 joules. The mass is 29 kg. What is the speed?
Answer:
Explanation:
Kinetic energy = 1/2*m*v^2
The kinetic energy is 4400 joules. The mass is 29 kg. What is the speed
4400 = 1/2*29*v^2
v^2 = 303.44
v=17.42m/s^2
The mass is 18 kg. The velocity is 4.7 m/s. What is the kinetic energy?
KE= 1/2*18*4.7*4.7=198.81J
the materials that made up the solar nebula can be categorized into these four general types. rank these materials from left to right based on the temperature at which each would condense into a solid, from highest to lowest. note: for a substance that does not condense at all, rank it as very low temperature.- Rock
- Hydrogen and Helium Gas
- Metals
- Hydrogen Compounds
A solar system's planets, sun, and other things are created in the solar nebula, a huge disc-shaped mass of gas and dust. Nebula is a Latin term that means "cloud." The
Describe solar energy.
Visit the Article History. Solar energy is another name for it. Solar energy is the name given to the Sun's radiation that can ignite chemical reactions, produce heat, or create electricity. The total solar energy incidence on Earth is far greater than the global energy needs at the moment and in the future. This is extremely dispersed if properly harnessed.
What advantages does solar energy offer?
When combined with storage, solar energy may supply backup power for nights and outages, lower electricity costs, help build a more robust electrical grid, promote economic growth, create jobs, and operate at equivalent effectiveness on both small and big sizes. There are numerous types and sizes of solar energy systems.
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the origin: 8. A thin rod of length and uniform charge per unit length SA lies along the x axis as shown in Figure P23.8. (a) Show that the electric field at P, a distance d from the rod along its perpendicular bisector, has no x component and is given by E = 2k i sin 0,/d. (b) What If? Using your result to part (a), show that the field of a rod of infinite length is E = 2kX/d. -- -- -- --- F
For solution of a) of the particular question where a thin rod and uniform change lies along the x axis=
λ = linear charge density
Consider a small length "dx" at distance "x" from the origin
dq = small charge on the small length = λ dx
r = distance of small length from point P = sqrt(x2 + d2)
small electric field at P due to small length is given as
dE = k dq/r2
dE = k λ dx /(sqrt(x2 + d2))2
dE = k λ dx /(x2 + d2)
From the diagram , we see that "dE Sinθ" are equal and opposite, hence x-components cancel out.
Net electric field at P is given as
E = ∫ 2 dE Cosθ
E = ∫ 2 (k λ dx /(x2 + d2)) (d/sqrt(x2 + d2))
E = ∫ 2 (k λ d dx /(x2 + d2)3/2)
E = ∫ _{0}^{l/2} 2 (k λ d dx /(x2 + d2)3/2)
E = (2 k λ d) ∫_{0}^{l/2}dx /(x2 + d2)3/2
E = (2 k λ d) ((l/2)/ (d2 sqrt(d2 + (l/2)2))
E = (2 k λ d) (Sinθ _{o}/ d2 )
Since
Sinθ _{o} = (l/2) /sqrt(d2 + (l/2)2)
E = 2 k λ Sinθ _{o}/ d
For solution of b)
for infinite length , θ _{o}= 90
E = 2 k λ Sin90/ d
E = 2 k λ / d
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The charged objects represented by the gray circles below all have identical masses, but different charges. Which will make it to the finish line first, assuming they are all released from rest at the same time? The black arrows represent a uniform electric field. A. AB. BC. CD. There will be a tie for first place E. None will reach the finish line
B will make it to the finish line first assuming they are all charged objects released from rest at the same time.
This is because the acceleration of the charged object is proportional to the magnitude of the electric field and inversely proportional to the mass of the object. Since all the charged objects have the same mass, the acceleration will depend only on the magnitude of the electric field.
In this case, the electric field is uniform and in the direction of the finish line, which means that the magnitude of the electric field is the same for all the charged objects. Therefore, the acceleration will be the same for all the charged objects.
However, since the magnitude of the force on each object is different due to their different charges, the velocity of the objects will differ. The charged object with the smallest charge, which is object B, will have the highest velocity and make it to the finish line first.
Objects A and D will have the same velocity and reach the finish line simultaneously. Object C will be the slowest and reach the finish line last. Therefore, the correct answer is B.
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why is the world so small compared to the sun and jupider
The Sun appears smaller than the Earth from here on Earth, but that is only because the Earth is considerably closer to you than the Sun is. Jupiter due to its rapid revolution, which increases its diameter in the midsection.
What are the bodies of the solar system?Our solar system consists of the star, Sun, planets: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, and small planets such as Pluto.
While the Sun is 150 million kilometers away from where you are, you are on the surface of the Earth.
The planet is an oblate spheroid due to its rapid revolution, which increases its diameter in the midsection.
Therefore, Jupiter due to its rapid revolution increases its diameter in the midsection making it bigger as compared to the world, so it is believed small compared to the Sun and Jupiter.
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as fleet and bright as a lodestar he wheeled toward guitar and it did not matter which one of them would give up his ghost in the killing arms of his brother. for now he knew what shalimar knew: if you surrendered to the air, you could ride it
This is a quote from the novel Song of Solomon which has been authored by Tomi Morrison.
The narrative comes to an ambiguous end with the vision of flying. Readers are left in the dark regarding the fate of Milkman and Guitar even though they both appear to fly in the conclusion. However, Milkman's ability to fly indicates that he has beyond the limitations of his physical form and has a connection to his great-grandfather, Jake, whom he has spent his entire life trying to understand. Despite the fact that Pilate is dead, the book finishes mystically and with a hopeful attitude.
Song of Solomon is a 1977 novel by American author Toni Morrison, her third to be published. It follows the life of Macon "Milkman" Dead III, an African-American man living in Michigan, from birth to adulthood.
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A hot dog cooker heats hot dogs by connecting them to 120 V household electricity. A typical hot dog has a mass of 70 g and a resistance of 160 Ω.
Part A
How long will it take for the cooker to raise the temperature of the hot dog from 20∘C to 85 ∘C? The specific heat of a hot dog is approximately 2500 J/kg⋅K
It will take about 233.34 seconds for the hot dog cooker to raise the temperature of the hot dog from 20∘C to 85∘C.
What is specific heat?Specific heat is the amount of heat energy required to raise the temperature of a substance by one degree Celsius or one Kelvin per unit mass.
Here,
To solve this problem, we can use the formula for the amount of heat required to change the temperature of an object,
Q = mcΔT
First, we need to calculate the amount of heat required to raise the temperature of the hot dog from 20∘C to 85∘C:
Q = (0.07 kg)(2500 J/kg⋅K)(85∘C - 20∘C)
Q = 1058.5 J
Next, we can use the formula for electrical power,
P = IV
We can rearrange this formula to solve for the current:
I = P/V
The power required to heat the hot dog can be calculated using the formula for electrical power:
P = V²/R
Substituting the given values, we get:
P = (120 V)²/160 Ω
P = 90 W
I = 90 W/120 V
I = 0.75 A
Finally, we can use the formula for the amount of time required to transfer a certain amount of heat:
t = Q/(IΔT)
Substituting the values we calculated, we get:
t = 1058.5 J/(0.75 A)(65∘C)
t = 233.34 s
Therefore, it will take about 233.34 seconds for the hot dog cooker to raise the temperature of the hot dog from 20∘C to 85∘C.
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A hydrogen atom consists of a proton and an electron. a. Determine the potential energy of a hydrogen atom. Use 52.9pm as the distance between the proton and the electron. b. The electron is replaced by a muon which has a charge of −e and mass mμ =1.88×10^−28kg. Determine the potential energy of this muonic atom. Use 0.25pm as the distance between the proton and the muon.
a. The potential energy of a hydrogen atom is -2.18 x 10^-18 J. b. The potential energy of a muonic atom is -4.11 x 10^-11 J.
a. The potential energy of a hydrogen atom,
U = -k(q1*q2)/r
where k is the Coulomb constant, q1 and q2 are the charges of the particles, and r is the distance between them.
For a hydrogen atom, the proton has a charge of +e and the electron has a charge of -e, where e is the elementary charge.
U = -k(e^2)/(52.9 pm)
U = -2.18 x 10^-18 J
b. For a muonic atom, the charge of the electron is replaced by a muon with a charge of -e.
U = -k(e^2_muon)/(0.25 pm)
where e_muon = -e = -1.60 x 10^-19 C.
U = -4.11 x 10^-11 J
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what are the effects of cooling on the physical properties of a substance
When the liquid cools down, it loses heat energy.
What is the physical effect of cooling on liquid?As the liquid cools, it loses heat energy. As a result, its particles slow down in movement and come closer to one another. Attractive forces begin to hold particles and the crystals of a solid form.
If water is cooled, it can change into ice. If ice is warmed, it can change into a liquid state. Heating a substance makes the molecules move very fast whereas cooling a substance makes the molecules move very slowly.
Heating a liquid increases the speed of the molecules present in it. An increase in the molecule's speed competes with the attraction between molecules and results in the molecules moving apart whereas Cooling a liquid decreases the movement of the molecules.
So we can conclude that the liquid cools down when it loses heat energy.
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A stone is dropped into a river from a bridge 43.9m above thewater. Another stone is thrown vertically down 1.00s afterthe first is dropped. Both stones strike the water at thesame time. What is the initial speed of the secondstone?
Answer:
Below
Explanation:
Find time of first stone to strike water ....second stone take 1 s less
First stone
d = 1/2 a t^2
43.9 = 1/2 (9.81)(t^2) shows t = ~ 3 seconds
Second stone
d = vo t + 1/2 a t^2
43.9 = vo (t) + 1/2 (9.81) t^2 t = 3 -1 = 2 seconds
43.9 = vo (2) + 4.905 (2)^2
shows vo = 12.1 m/s
A gas is enclosed within a chamber that is fitted with a frictionless piston. The piston is then pushed in, thereby compressing the gas. Which statement below regarding this process is consistent with the first law of thermodynamics?
(a) The internal energy of the gas will increase.
(b) The internal energy of the gas will decrease.
(c) The internal energy of the gas will not change.
(d) The internal energy of the gas may increase, decrease, or remain the same, depending on the amount of heat that the gas gains or loses.
The statement consistent with the first law of thermodynamics is the internal energy of the gas will increase. Option a is correct.
The statement consistent with the first law of thermodynamics is (a) The internal energy of the gas will increase. This is because the work done on the gas is being converted into an increase in internal energy.
Option (b) (c) The internal energy of the gas will decrease, or will not change is incorrect, because work is being done on the gas which will increase its internal energy.
Option (d) does not address the fact that work is being done on the gas, which is also contributing to changes in its internal energy.
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What is the Reynolds’ number if the average flow speed of blood through the coronary artery is 15 mL/s, the density of the blood is 50 kg/m3 and the vessel has a diameter of 0.2 m?
List the homologous series
The organic compounds in the homologous series have similar chemical properties. The simplest example of homologous series is the first four hydrocarbons; methane, ethane, propane and butane.
What is homologous series?The homologous series is known as the group of organic compounds that differ from each other by a methylene group. They are series of compounds with the same functional group and similar chemical properties.
The compounds of carbon in homologous series have different number of carbon atoms. But they contain the same functional group. Alkanes, alkenes and alkynes form the homologous series.
Thus all the alkanes, alkenes and alkynes form homologous series.
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An ant crawls on the sidewalk. It first moves south a distance of 10 cm. It then turns southwest and crawls 6 cm. What is the magnitude of the ant’s displacement?
Explanation:
the displacement is the length of direct line of sight from the starting point to the end point. in other word the baseline of the created triangle.
the legs of that triangle are 10 cm and 6 cm.
the angle between both legs is 90 + 45 = 135°.
because 90° is the angle between South and West. and for southwest we have to add 45°
the law of cosine :
c² = a² + b² - 2ab×cos(C)
c is a side, C is the opposite angle, a and b are the other 2 sides.
so, we have in our case
displacement² = 10² + 6² - 2×10×6×cos(135) =
= 100 + 36 - 120×cos(135) =
= 136 - 120×-0.707106781... =
= 136 - 120×-sqrt(2)/2 =
= 136 + 60×sqrt(2) =
= 220.8528137...
displacement = 14.86111751... cm ≈ 15 cm
two square plates eachw ith a side length of 9.32 cm, have equal and opposite charges of magnitude 3.152 calculate the electric field nbetween two fileds
When a charge Q is given to a thin metallic plate then the charge gets equally distributed between the two plates. Thus we have an electric field produced by one side of the plate is
E=σ2ϵo
where σ=QA and A is the area.
A)
Electric field, E = Q/(A e0)
E = (5.952 x 10^-6)/(pi x 0.0522^2 x 8.85 x 10^-12)
E = 7.86 x 10^7 N/C
B)
Stays the same
An electric field (sometimes E-field) is the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of charged particles.
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How far will a 50 N force stretch the same spring?
The force required to stretch the spring up to 0.5 m is 20 N. Then, the spring constant of the spring is 40 N/m. Then, a force of 50 N will stretch the same spring up to 1.2 m.
What is spring constant ?The force required to stretch an elastic material is directly proportional to the displacement x of the material.
hence, F = -kx
Where, the proportionality constant k is called spring constant.
Given that, the force required to stretch the spring up to 0.5 m is 20N.
then, spring constant = force/displacement
k = 20 N/0.5 m
= 40 N/m.
Then, the displacement made by a force of 50 N applied on the same spring is:
x = F/k
= 50 N/40 N/m
= 1.2 m.
Therefore, the force of 50 N will stretch the spring up to 1.2 m.
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Your question is incomplete. But your complete question probably was:
A 20 N force stretches a spring to 0.5 m. How far will a 50 N force stretch the same spring?
Calculate the velocity a spherical rain drop would achieve falling (taking downward as positive) from 4.4km in the following situations. (h=4.4km; l=3.8mm; d=1.16kg/m3
a. Calculate the velocity in the absence of air drag in m/s. ____
b. Calculate the velocity wiith air drag in m/s Take the size across of the frop to be 3.8mm, the dnesity of air to be 1.16kg/m3 , he density of water to be 1000kg/m3 , the surface area to be\pir2, and the drage coefficient to be 1.0. _____
To calculate the velocity of a spherical raindrop falling from 4.4 km without air drag, we can use the equations of motion:
v² = u² + 2as
How to calculate velocity?where v is the final velocity, u is the initial velocity (which is 0 in this case), a is the acceleration due to gravity, s is the displacement (which is equal to the height of the fall), and we assume that downward is positive. We can use the acceleration due to gravity as -9.81 m/s². Therefore, we get:v² = 0 + 2(-9.81 m/s²)(4.4 km) = -2(9.81 m/s²)(4400 m) = -86,140 m²/s²
Since the velocity cannot be negative, we take the square root of the magnitude to get the final velocity:v = sqrt(86,140 m²/s²) = 293.9 m/s
Therefore, the velocity of the raindrop falling from 4.4 km without air drag is approximately 293.9 m/s.
b. To calculate the velocity of the raindrop falling with air drag, we can use the following equation:
F_drag = 1/2 * rho * v^2 * A * C_d
where F_drag is the drag force, rho is the density of air, v is the velocity of the raindrop, A is the cross-sectional area of the raindrop (which is pi*(d/2)^2), and C_d is the drag coefficient. We can assume that the weight of the raindrop is balanced by the upward force due to air resistance, so we can write:F_drag = m * g
where m is the mass of the raindrop (which is (4/3)pi(l/2)^3*1000 kg/m³), and g is the acceleration due to gravity. We can rearrange the two equations to get:m * g = 1/2 * rho * v^2 * A * C_d
Solving for v, we get:
v = sqrt((2 * m * g) / (rho * A * C_d))
Substituting the values, we get:
v = sqrt((2 * (4/3) * pi * (3.8/2)^3 * 1000 kg/m³ * 9.81 m/s²) / (1.16 kg/m³ * pi * (3.8/2)^2 * 1.0))
Simplifying, we get:
v = 9.7 m/s
Therefore, the velocity of the raindrop falling from 4.4 km with air drag is approximately 9.7 m/s.
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Two wooden members of uniform rectangular cross section are joined by the simple glued scarf splice shown. Knowing that P= 18 kN, determine the normal and shearing stresses in the glued splice. 150 mm P 75 mm kPa. The normal stress is ... kPaThe shearing stress is ... kPa.
1.12 MPa is the shear stress in the glued joint.
What is class 10 cross section?If you think of an object as a 2D object, its cross section area is one of its areas. Consider a perfectly spherical ball as an illustration. A circle with a radius equal to the ball can be seen if you view the ball as a 2D object. Consider a cone for another illustration.
The axial or normal stress, σ, in the glued joint can be calculated as:
σ = P/A
A = 2 × b × h
A = 2 × 75 mm × 150 mm = 22,500 mm²
Substituting the values of P and A, we get:
σ = 18 kN / 22,500 mm² = 0.8 MPa
So the normal stress in the glued joint is 0.8 MPa.
The shear stress, τ, in the glued joint can be calculated as:
τ = VQ/It
V = P/2 = 9 kN
The first moment of area, Q, can be calculated as:
Q = b×h2/4
When we change the values of b and h, we obtain:
Q = 75 mm × (150 mm)2 / 4 = 1,406,250 mm³
Calculating the second instant of area, I, is as follows:
I = b×h3/12
The result of substituting the values of b and h is:
I = 75 mm × (150 mm)3 / 12 = 1,054,687.5 mm⁴
Substituting the values of V, Q, I, and t, we get:
τ = 9 kN × 1,406,250 mm³/ (1,054,687.5 mm⁴ × 75 mm) = 1.12 MPa
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A 39,000kg boat is traveling at a speed of 2m/s. What is the kinetic energy (in joules) of the boat?
Answer:
KE = 78 J
Explanation:
What branch of science examines the functions of living organisms and their parts?
Answer:
physiology
Explanation:
they examine the tissue and cell
An ideal gas undergoes and isothermal process. Which of the following statements are true? (i) No heat us added to or removed from the gas. (ii) The internal energy of the gas does not change. (iii) The average kinetic energy of the molecules does not change.
An ideal gas undergoes an isothermal process. The correct answer to this question is a statement (ii) The internal energy of the gas does not change and statement (iii) .
The average kinetic energy of the molecules does not change. An isothermal process is a thermodynamic process in which the temperature of a system remains constant. This means that the internal energy of the system, which is related to the average kinetic energy of the molecules, also remains constant. Therefore, statements (ii) and (iii) are true. However, statement (i) is not true. In an isothermal process, heat can be added to or removed from the gas in order to keep the temperature constant. For example, if the gas is expanding, heat will need to be added to the system in order to maintain a constant temperature. Conversely, if the gas is being compressed, heat will need to be removed from the system in order to maintain a constant temperature.
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Part A Find an expression for the minimum stopping distance dstop of a car traveling at speed vo if the driver's reaction time is Treact and the magnitude of the acceleration during maximum brak a constant abrake Express your answer in terms of the variables vo, Treact, and aprake. 190 ΑΣΦ Bra ? dstop Submit Request Answer Part B A car traveling at 30 m/s can stop in a distance of 70 m, including the distance traveled during the driver's reaction time of 0.50 s. What is the minimum stopping distance for the same car traveling at a speed of 46 m/s? Express your answer with the appropriate units. HA ? d = Value m Submit Request Answer
Part A, the minimum stopping distance for the car traveling at 46 m/s is 116 m. For the minimum stopping distance to find the minimum stopping distance for the car traveling at 46 m/s:
dstop = vo Treact + (vo^2)/(2abrake)
The minimum stopping distance of a car traveling at speed vo with a reaction time Treact and constant maximum braking acceleration abrake can be found by considering the distance traveled during the driver's reaction time and the distance traveled while the car is slowing down due to braking. The total stopping distance is given by:
dstop = dreact + dbrake
where dreact is the distance traveled during the driver's reaction time and dbrake is the distance traveled while the car is slowing down due to braking.
The distance traveled during the driver's reaction time is given by:
dreact = vo Treact
The distance traveled while the car is slowing down due to braking can be found using the kinematic equation:
v^2 = vo^2 + 2a(x - xo)
where v is the final velocity, xo is the initial position, x is the final position, and a is the acceleration. In this case, we want to find the distance traveled while the car is coming to a stop, so v = 0, xo = 0, and x = dbrake. Solving for dbrake, we get:
dbrake = (vo^2)/(2abrake)
Substituting this expression into the total stopping distance equation, we get:
dstop = vo Treact + (vo^2)/(2abrake)
This is the expression for the minimum stopping distance of a car traveling at speed vo with a reaction time Treact and constant maximum braking acceleration abrake.
Part B:
We can use the expression for the minimum stopping distance derived in Part A to find the minimum stopping distance of the car traveling at 46 m/s. We are given that the car traveling at 30 m/s can stop in a distance of 70 m, including the distance traveled during the driver's reaction time of 0.50 s. Using this information, we can find the value of abrake as follows:
dstop = vo Treact + (vo^2)/(2abrake)
70 m = (30 m/s)(0.50 s) + (30 m/s)^2/(2abrake)
Solving for abrake, we get:
abrake = (30 m/s)^2/(2(70 m - 15 m)) = 4.08 m/s^2
Note that we subtracted the distance traveled during the driver's reaction time of 0.50 s, which is 15 m, from the total stopping distance of 70 m to get the distance traveled while braking.
Now that we know the value of abrake, we can use the same expression for the minimum stopping distance to find the minimum stopping distance for the car traveling at 46 m/s:
dstop = vo Treact + (vo^2)/(2abrake)
dstop = (46 m/s)(0.50 s) + (46 m/s)^2/(2(4.08 m/s^2)) = 116 m
Therefore, the minimum stopping distance for the car traveling at 46 m/s is 116 m
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