Answer: When a cube is divided into smaller cubes of equal size, the length, height, and width of each new cube are one-third of the original cube.
So each new cube will have a length, height, and width of 4/3 cm.
To calculate the surface area of each new cube, we need to find the area of each face and then add them up. Each cube has six faces, so we can calculate the surface area of one cube by multiplying the area of one face by six.
The area of one face of the new cube is (4/3)*(4/3) = 16/9 cm².
So the surface area of one new cube is 6*(16/9) = 96/9 cm² = 10.67 cm² (rounded to two decimal places).
Since we have 8 new cubes, the total surface area is 8 times the surface area of one new cube:
Total surface area = 8 * 10.67 cm² = 85.33 cm² (rounded to two decimal places).
Therefore, the surface area of the 8 new cubes is 85.33 cm².
A young ice skater with mass 40.0 kg
has fallen and is sliding on the frictionless ice of a skating rink with a speed of 16.0 m/s
.
A) What is the magnitude of her linear momentum when she has this speed?
B) What is her kinetic energy?
C) What constant net horizontal force must be applied to the skater to bring her to rest in 4.00 s?
The skater's linear momentum has a value of 640 kg/m/s. Kinetic energy of the skater is 5120 J. The skater needs to be subjected to a steady net horizontal force of 160 N in order to come to rest in 4.00 seconds.
What is a momentum's magnitude?The sum of the mass and the instantaneous speed determines the size of the momentum.
The following equations can be used to calculate the skater's linear momentum:
p = mv
p = (40.0 kg)(16.0 m/s) = 640 kg·m/s
As a result, the skater's linear momentum is 640 kg/m/s in magnitude.
B) The skater's kinetic energy is given by:
K = (1/2)mv^2
Substituting the given values, we get:
K = (1/2)(40.0 kg)(16.0 m/s)^2
= 5120 J
Therefore, the skater's kinetic energy is 5120 J.
C) We need to provide a steady net horizontal force that is opposite in direction and of similar size to the skater's starting momentum in order to bring the skater to rest in 4.00 seconds. Applying the average force equation:
F = Δp/Δt
F = (-640 kg·m/s)/(4.00 s) = -160 N
In order to bring the skater to rest in 4.00 seconds, a steady net horizontal force of 160 N must be delivered to her in the opposite direction of her beginning motion.
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Find the distance between two charges according to Coulomb's Law if F
= 460 N
, Q1=2.8×10−5
C
, and Q2=3.1×10−7
C
.
0.16*10^-3m is the distance between two charges according to Coulomb's Law
How does Coulomb's law work?
Coulomb listed the following characteristics of the electric field for charges in a resting state: Unlike charges draw each other while like charges repel one another. As a result, a positive charge pulls a negative charge toward it while two negative charges resist one another.
We can determine the electric force produced between two electrical charges using Coulomb's Law. In particular, it enables the determination of the direction and strength of electric energy. Coulomb's law states that the force of attraction or repulsion between two charged bodies is inversely proportional to the cube of the distance between them and directly proportional to the product of their charges. It operates on the segment connecting the two charges regarded as point charges.
F = kq1q2/r^2
460 = 9*10^9 *2.8*10^-5 *3.1*10^-7 / r^2
r = sqrt ( 9*10^9 *2.8*10^-5 *3.1*10^-7 / 460)
r = 0.16*10^-3m
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If a cube that has a length, height, and width of 4 cm is broken down into 8 cubes of equal size, what is the surface area of the 8 new cubes?
The surface area of the 8 new cubes would be 96 cm².
What is surface area?Surface area is the total area of the exposed surface of a three-dimensional object, such as a cube, cylinder, or sphere. It is measured in square units, such as square inches, square feet, or square meters. Surface area is an important concept in geometry, trigonometry, and calculus. It is used in many areas of science, such as chemistry, physics, and engineering. Surface area is also important in everyday life, from home construction and remodeling to sports and recreation. For example, it is used to calculate the size of an area needed to paint a room, the amount of material needed to cover a swimming pool, or the dimensions of a soccer field.
This is because the surface area of a cube is equal to 6 times the length of one side of the cube squared. In this example, the length of one side of the 8 cubes is equal to 4 cm divided by 2 (since the cube was broken down into 8 cubes), which is equal to 2 cm. Therefore, the surface area of each of the 8 cubes would be 6 times 2 cm squared, which is equal to 12 cm².and the total surface area of the 8 cubes would be 12 cm^2 multiplied by 8, which is equal to 96 cm².
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If the diameter of the space station is 770 m, how many revolutions per minute are needed for the "artificial gravity" acceleration to be 9.80m/s^2 ?
Revolutions per minute are needed for the space station which is at 385m from center of the planet is 1.52 rev/min
What is Orbital Velocity ?Orbital velocity is also called as critical velocity. It is minimum velocity must be given to the satellite or the body, so that it can revolve around the planet. i.e. orbital velocity is minimum velocity of body to revolve in stable orbit around a planet.
Orbital velocity is given by,
[tex]v_{c} = \sqrt{\frac{GM}{R+h}}[/tex] where G = Gravitational constant (6.673×10⁻¹¹ Nm²/kg²
M = Mass of the planet
R = Radius of the planet
h = height of the object(satellite)
Orbital velocity depends on mass of the planet, radius of the planet and height of the object(satellite). It is independent of mass of the body(satellite).
Given,
Diameter of space station, D = 770m {Radius (R+h) = 385m}
Acceleration due to gravity [tex]g_{h}[/tex]= 9.8 m/s²
our given equation is,
[tex]v_{c} = \sqrt{\frac{GM}{R+h}}[/tex]
[tex]v_{c}^{2} = \frac{GM}{R+h}}[/tex].........1)
we know that v=rω
v²=r²ω²
where r = (R+h) = Radius of planet + height of space station from surface of the planet.
v²=(R+h)²ω²......2)
with equation 2), equation 1 becomes.
(R+h)²ω² = [tex]\frac{GM}{R+h}}[/tex]
ω² = GM÷ (R+h)³.............3)
we know that [tex]g_{h} = \frac{GM}{(R+h)^{2} }[/tex].....4)
equ 3 becomes,
ω² = [tex]\frac{g_{h}}{(R+h)}[/tex]
Putting all values in equation,
ω² = 9.8 ÷ 385
ω² = 0.025454
ω = 0.1595 ≅ 0.16 rad/s
let,
ω = 2πn
n= ω ÷ 2π
n = 0.02547 rev/s
n= 0.02547*60 = 1.52 rev/min
Hence 1.52 rev/min is needed for space station at artificial gravity of 9.8 m/s
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A coil of wire lies flat on a horizontal surface. The coil is carrying current in an anticlockwise sense when the coil is viewed from above. For the points inside the coil, determine the direction of the magnetic field caused by this current. Explain your answer with the aid of labelled diagram.
When current flows through a coil of wire, it generates a magnetic field. The direction of the magnetic field can be determined using the right-hand rule. If you point your right thumb in the direction of the current flow, your fingers will curl in the direction of the magnetic field.
What is the current flow about?In this case, the current is flowing in an anticlockwise sense when viewed from above. Using the right-hand rule, the direction of the magnetic field inside the coil can be determined to be perpendicular to the plane of the coil, and in a clockwise direction when viewed from above.
The diagram below shows the coil of wire lying flat on a horizontal surface with the direction of the magnetic field labelled:
+-----+-----+-----+-----+-----+
| |
| |
| |
+ X X +
| |
| |
| |
+-----+-----+-----+-----+-----+
Therefore, In this diagram, the X's represent the direction of the magnetic field lines inside the coil. As you can see, the magnetic field lines are oriented perpendicular to the plane of the coil and in a clockwise direction when viewed from above.
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The index of refraction of quartz is 1.46. What is the velocity of light in quartz?
Answer:
Approximately [tex]2.05 \times 10^{8}\; {\rm m\cdot s^{-1}}[/tex].
Explanation:
The refractive index [tex]n[/tex] of a material is the ratio between the speed of light in vacuum [tex]c[/tex] and the speed of light [tex]v[/tex] in that material. In other words:
[tex]\begin{aligned}n &= \frac{c}{v}\end{aligned}[/tex].
The speed of light in vacuum is [tex]c \approx 3.00 \times 10^{8}\; {\rm m\cdot s^{-1}}[/tex].
It is given that the refractive index is [tex]n = 1.46[/tex]. Rearrange this equation to find [tex]v[/tex], the speed of light in this material:
[tex]\begin{aligned}v &= \frac{c}{n} \\ &\approx \frac{3.00 \times 10^{8}\; {\rm m\cdot s^{-1}}}{1.46} \approx 2.05 \times 10^{8}\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
a. Make a drawing of the electric field lines around a positive charge, then make a second drawing of the electric field lines around a negative charge. (1 point)
A drawing of the electric field lines around a positive charge, then make a second drawing of the electric field lines around a negative charge is mentioned below.
What is electric field ?
According to mathematics, the electric field is described as a vector field that may be connected to each point in space and represents the force per unit charge that is applied to a positive test charge that is at rest at that location. Either the electric charge or time-varying magnetic fields can produce an electric field.
What is electric charge ?
The physical quality of matter—its electric charge—is what causes it to feel a force when exposed to an electromagnetic field. Protons and electrons, the two types of charge carriers, typically carry positive and negative electric charges. Charges moving through a system produce energy.
Therefore, A drawing of the electric field lines around a positive charge, then make a second drawing of the electric field lines around a negative charge is mentioned above.
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# Calculate the radius of water drop which look just remain suspendat in an electric-ff- eld of 300 viem and charged with one election-
The radius of a water droplet suspended in an electric field can be calculated using the following formula:
r = (3qE/4πρg)^(1/2)
where r is the radius of the droplet, q is the charge on the droplet, E is the strength of the electric field, ρ is the density of the droplet material (assumed to be that of water, which is 1000 kg/m^3), and g is the acceleration due to gravity.
What is the radius of water drop which look just remain suspendat in an electric-ff- eld of 300 viem and charged with one election?In this case, q = -1.602 × 10^-19 C (the charge on an electron), E = 300 V/m, ρ = 1000 kg/m^3, and g = 9.81 m/s^2.
Plugging in these values, we get:
r = (3(-1.602 × 10^-19 C)(300 V/m)/(4π(1000 kg/m^3)(9.81 m/s^2)))^(1/2)
= 1.83 × 10^-5 m
Therefore, the radius of the water droplet is approximately 1.83 × 10^-5 meters.
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asap hurry
Part 1
1. Using a graduated cylinder, measure 70 mLof water. Pour this water into a small, empty glass
jar. Dry the graduated cylinder.
2. Remember the old saying: “Do like you ‘oughter’—add the acid to the water.” This means to
add acid to water—never the other way around. Do not add water toacid.
3. Make sure you are working in a well-ventilated area, such as next to an open window. Using
extreme caution, and wearing safety goggles or protective eyeware, protective gloves, and
long sleeves and long pants, measure out 30 mL of the muriatic acid into the graduated
cylinder. Slowly pour this acid into the jar of water. (Add the acid carefully, because heat will be
produced when the two substances mix.)
4. Screw the lid onto the jar and gently swirl the jar to mix the contents fully.
5. Remove the lid and place the galvanized nail into the jar.
6. Loosely cover the jar with the lid (do not screw it on).
7. Allow the reaction in the jar to continue for 20 seconds, recording observations during this
time.
8. Light the wooden splint (toothpick) with the candle and prepare to test for the gas.
Testing and Producing Gases
9. Very carefully, remove the lid from the jar and bring the burning splint to the mouth of the jar.
10. Be prepared for a reaction. Record your observations.
11. Place the lid back on the jar and allow more gas to accumulate.
12. Complete Steps 7, 8, and 9 again to repeat this trial. After your second trial, rinse and dry the
graduated cylinder to prepare for Part 2.
Part 2
13. Measure 50 mL of hydrogen peroxide using the graduated cylinder. Pour thehydrogen
peroxide into the second jar.
14. Add approximately 1 teaspoon of yeast to the hydrogen peroxide. Loosely cover the jar with
the lid (do not screw it on). Record your observations.
15. Light the wooden splint (toothpick) with the candle and allow the toothpick to burn for a few
seconds.
16. Extinguish the flame by blowing on it so that the wood is just glowing.
17. Remove the lid on the jar and hold the glowing splint to the mouth of the jar. Record your
observations.
18. Place the lid back on the jar and allow more gas to accumulate.
19. Repeat Steps 14 and 15 to complete a second trial
2 of 5
Science | Testing and Producing Gases
Name Date
• Dispose of nail by taking it out of the acid solution (with gloves on), wrapping it in a paper
towel, and putting it into the trash.
• Dispose of liquid substances by pouring them down a drain. Run plenty of cold water while you
pour these substances down the drain and for several minutes afterward.
• Do not breathe in fumes. Make sure the area you are working in is wellventilated.
• Be sure toothpicks are completely extinguished in water before disposing of them.
Data and Observations
Observations for Part 1
Trial 1:
Trial 2:
Observations for Part 2
Trial 1:
Trial 2:
3 of 5
Science | Testing and Producing Gases
1. Do you think a chemical reaction took place in Part 1 when you added the galvanized nail to
the acid and water, and in Part 2 when the yeast was added to the hydrogen peroxide? Explain
your answer. (3 points)
2. Did the same result occur in both parts when you held up a lighted splint to the jar’s mouth?
What can you conclude from this about the identity of the gas(es) in Parts 1 and 2? (3
points)
3. In both parts of the activity, you conducted a second trial without having to remix the
chemicals. How was this possible? (3 points)
4. In 1937, a large passenger airship called the Hindenburg mysteriously caught fire. Because
the airship was filled with hydrogen gas, it immediately exploded once the fire reached the gas.
Given this information, do you think one of the reactions above may have produced hydrogen?
Use your data to explain your answer. (3 points)
4 of 5
Science | Testing and Producing Gases
Answer:
Yes, a chemical reaction took place in Part 1 when the galvanized nail was added to the acid and water, and in Part 2 when the yeast was added to the hydrogen peroxide. This is evidenced by the observations recorded in the trials, such as the production of bubbles and the release of gas.Yes, the same result occurred in both parts when a lighted splint was held up to the jar's mouth. This indicates that the gas produced in both parts was flammable and therefore likely to be hydrogen.In both parts of the activity, a second trial was conducted without having to remix the chemicals because the reactions continued to produce gas even after the first trial, allowing for further testing.Yes, one of the reactions above may have produced hydrogen. Part 2 specifically involved the addition of yeast to hydrogen peroxide, which likely produced oxygen gas and water as byproducts. This means that the gas produced in Part 2 was likely hydrogen gas, as hydrogen peroxide is composed of hydrogen and oxygen. The flammability of the gas produced in both parts also supports the possibility that it was hydrogen.Explanation:
Sorry if I made some mistakes, I completed it as fast as I could.
The natural abundance of boron-11 is 80.1%. If you have 7,000 boron atoms, how many of them are the boron-11 isotope?
Answer:
If the natural abundance of boron-11 is 80.1%, then the natural abundance of boron-10, the other stable isotope of boron, is 100% - 80.1% = 19.9%.
To determine how many of the 7,000 boron atoms are the boron-11 isotope, we can use the following steps:
Calculate the number of boron-10 atoms:
19.9% x 7,000 = 1,393
Calculate the number of boron-11 atoms:
80.1% x 7,000 = 5,607
Therefore, out of 7,000 boron atoms, 5,607 are the boron-11 isotope.
Explanation:
How much kinetic energy does a 2.50kg ball traveling at 2.00m/s have?
Answer:
Explanation:
The formula for kinetic energy is K = 1/2mv^2, where K is kinetic energy, m is mass, and v is velocity.
Substituting the given values:
K = 1/2(2.50 kg)(2.00 m/s)^2
K = 1/2(2.50 kg)(4.00 m^2/s^2)
K = 5.00 J
Therefore, the 2.50kg ball traveling at 2.00m/s has 5.00 J of kinetic energy.
what total capacitances can you make by connecting a 5.04 µf and 8.02 µf capacitor together?
The capacitor can be used in various home appliances like ceiling fan, electric motor, etc. The total capacitance by connecting a 5.04 µf and 8.02 µf capacitor together in parallel is 13.06 µf.
What is a capacitor?A two terminal electrical device which is used to store energy in the form of an electric charge is defined as the capacitor. It contains two electrical conductors separated by a distance.
When two capacitors are connected in parallel, then the total capacitance is given as:
C total = C₁ + C₂
C total = 5.04 µf + 8.02 µf
C total = 13.06 µf
Thus the total capacitance is 13.06 µf.
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From the foot of a vertical cliff 28.8 m high, a stone was projected vertically upwards so as just to reach the top. Find its velocity of projection. One second after the first stone was projected, another stone was allowed to fall from rest from the top of the cliff. The stones passed one another after a further seconds at a height h m above the ground. Calculate the value of t and of h. (C)
The velocity of projection of a stone following projectile motion which is projected vertically upwards from the foot of a vertical cliff 28.8n high so as to just reach the top is 23.75 m/s
What is projectile motion?When something (a projectile) is launched towards the surface of the Earth and moves along a curved path only under the influence of gravity, it experiences projectile motion (in particular, the effects of air resistance are passive and assumed to be negligible). Galileo showed that although this curved path can also be a straight line when thrown immediately above, it is a parabola in this case.
Gravity is the sole force acting on the item that is mathematically relevant; it acts downward and accelerates the thing towards the mass of the Earth. Due to the object's inertia, the horizontal velocity component of its motion does not require any external force.
According to the equation,
H = [tex]\frac{u^{2} }{2g}[/tex]
where,
H is the maximum height,
u is the velocity of projection and,
g is the acceleration due to gravity.
substituting the values and solving for u,
velocity of projection = 23.75 m/s
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An object starts at position 12 on a horizontal line with a reference point of 0. What is the position of the object if moves 14 units to the left?
If the object starts at position 12 on a horizontal line with a reference point of 0, then its initial position relative to the reference point is:
Initial position = Reference point + Object's position = 0 + 12 = 12
If the object then moves 14 units to the left, its new position relative to the reference point is:
New position = Initial position - Distance moved to the left = 12 - 14 = -2
Therefore, the position of the object is -2 units from the reference point, which means that it has moved 2 units to the left of the reference point.
A 500 g object is dropped from a height of 2 meters. What is its kinetic energy just before it hits the ground?
Answer: 9.8 J
Explanation:
Since the gravitational potential energy of the object is mgh or mass*acceleration due to gravity*initial height, its [tex]U_{g}[/tex] is 9.8 J. Due to the Law of Conservation of Energy, its kinetic energy will also be 9.8 J. This can be seen in the equation [tex]KE_{i}+ PE_{i}= KE_{f} + PE_{f}[/tex]. Since there is no initial kinetic energy and no final potential energy, its initial potential energy is equal to its final kinetic energy.
Give an example which demonstrates sound travelling through:
a) A gas
b) A liquid
c) A solid
Answer:
in image
Explanation:
hope it helped you
What happens to the atoms
that make up hydrogen fuel
as it burns?
Consider the image below. If the stream velocity is 1.75 meters per second, what is the discharge in cubic meters per second?
The stream's velocity is 1.75 metres per second, and the discharge is 16.8 cubic metres per second.
How do you determine a stream's discharge?Discharge has units of feet3/sec or cubic ft per second if length and duration are measured in feet and seconds, respectively (cfs). The cross-sectional area is calculated as Depth times Width. Due to the velocity reduction caused by friction at the channel's edges, the channel's form is crucial.
The cross-sectional area of the stream must be multiplied by the stream velocity in order to determine discharge.
The cross-sectional area of the image is:
A = (8 m) x (1.2 m) = 9.6 m²
1.75 metres per second is listed as the stream velocity.
So the discharge Q is:
Q = A x V
= (9.6 m²) x (1.75 m/s)
= 16.8 m³/s.
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PLEASE HELP
How is it possible for a tree to survive if the inner part is missing?
A 2,600 kg SUV traveling west at 15 m/s collides head on with a 1,300 kg four door sedan traveling east at 20 m/s. Determine the speed and direction of the two cars immediately after impact if they lock together.
Answer:
Explanation:
From Law of conservation of momentum,
m1u1+m2u2 = m1v1+m2v2 [Law of conservation of momentum]
m1 = 2600kg
u1 = 15m/s
m2 = 1300kg
u2 = -20m/s [as it is moving in opposite direction]
here, after impact, cars lock with each other so v (final velocity) is the same for both cars, i.e., v1 = v2
(2600)(15)+(1300)(-20) = (2600)v1+(1300)v2
39000-26000 = (2600+1300)v1 [as v1 = v2]
v1 = 13000/3900
v1 = 3.33 m/s
Here, m1v1 = 2600x3.33 = 8658kgm/s
m2v2 = 1300x3.33 = 4329kgm/s
As final momentum of car 1 is higher than that of car 2, both cars will move in direction of car1, that is, west direction.
Which describes how chemical changes are different from physical changes? (2 points) Group of answer choices Chemical changes can be measured, but physical changes cannot. Chemical changes release energy, but physical changes absorb energy. Chemical changes involve the formation of a new substance. Chemical changes cannot be caused by oxygen.
Answer: Both Chemical and physical changes can be measured, chemical changes can be caused by oxygen since its very reactive. Physical Change: There is no addition or deduction of energy during the physical change, but the energy required for completion of change is released when the change is reversed. Chemical Change: Energy like light, pressure, heat energy is required for chemical changes. When physical or chemical changes occur, they are generally accompanied by a transfer of energy. The law of conservation of energy states that in any physical or chemical process, energy is neither created nor destroyed.
Explanation:
10. A frequency of the first harmonic is 587 Hz (pitch of D5) is sounded out by a vibrating guitar
string. The speed of the wave is 600 m/sec. Find the length of the string.
What is one direct way in which children impact their own acculturation?
Answer: The direct way that children affect their own acculturation is by peer watching and engagement.
Answer:One direct way in which children impact their own acculturation is through language acquisition. Children who are exposed to a new culture and language at a young age have the opportunity to learn and adopt the new language and cultural norms more easily than adults. As children interact with peers and adults in the new culture and use the new language, they develop their own sense of identity and acculturation, which can be different from that of their parents or other family members. Children may also participate in cultural activities or events, such as holidays or festivals, which further shape their understanding and experience of the new culture. Overall, children can actively participate in and shape their own acculturation process through language acquisition and cultural experiences.
Explanation:
2.4.5 conservation of energy lab Describe at least one part of the experimental procedure that you thought was essential to getting good results. Did you find that certain steps in the procedure had to be followed carefully in order to get consistent results? If you wanted better results, do you think there is a step that could have been added to the procedure?
This may involve carefully measuring and recording the initial and final energies of the system, controlling for external factors such as friction and air resistance, and using appropriate instruments and equipment with minimal energy loss.
What is Energy?
It is a scalar quantity that can be transferred between objects or converted into different forms, such as kinetic, potential, thermal, or electrical energy. Energy cannot be created or destroyed, but it can be transformed from one form to another. The SI unit of energy is the joule (J), but other units such as calories, electronvolts, or British thermal units (BTU) are also commonly used depending on the context. Energy is a fundamental concept in physics and plays a crucial role in many fields, including mechanics, thermodynamics, chemistry, and astronomy.
It is also important to follow the experimental procedure carefully and consistently to ensure that the results are reproducible and consistent. This may involve controlling for variables such as the angle of release, the height of the release, and the distance traveled by the object.
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Two resistors of resistances 3Ω and 6Ω are connected in parallel across a battery having voltage of 12V. Determine (a) the total circuit resistance and (b) the current flowing in the 3 resistor
1) The total resistance is 2 ohms
The current is 4 A
What is the resistance in parallel?In a parallel circuit, the total resistance (R_total) of the circuit is less than the resistance of any individual resistor in the circuit. This is because in a parallel circuit, each resistor provides a separate path for current to flow from the power source to the load, and the overall resistance of the circuit is reduced due to the increased number of paths.
For the resistors in parallel;
1/RT = 1/3 + 1/6
Rt = 2 ohms
In the 3 ohm resistor;
Current = 12 V/3 Ohm
= 4 A
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a density glass both contain 44.25g of a liquid at 0°c and 42.02g of a liquid at 50°c.what is the real cubic expansivity of the liquid linear expansivity of glass is 1.0x10^_5k^_1.
The real cubic expansivity of the liquid is 1.98 x 10^-4 K^-1.
Real cubic expansivity calculation.
To find the real cubic expansivity of the liquid, we need to use the formula:
β = (1/V) (dV/dT)
where β is the real cubic expansivity, V is the volume of the liquid, and dV/dT is the rate of change of the volume with respect to temperature. We can use the fact that the two samples have the same volume to eliminate V from the equation.
The change in mass of the liquid between 0°C and 50°C is:
Δm = 44.25 g - 42.02 g = 2.23 g
To convert the change in mass to a change in volume, we need to divide by the density of the liquid:
ρ = m/V
V = m/ρ
We can use the density of the liquid at 0°C to calculate the volume:
V = 2.23 g / (density of liquid at 0°C)
Next, we can use the volume and temperature data to find the rate of change of the volume with respect to temperature:
dV/dT = (V2 - V1) / (T2 - T1)
dV/dT = (V(50°C) - V(0°C)) / (50°C - 0°C)
Finally, we can substitute these values into the formula for β:
β = (1/V) (dV/dT)
β = (1/[(2.23 g) / (density of liquid at 0°C)]) [(V(50°C) - V(0°C)) / (50°C - 0°C)]
Simplifying this expression gives:
β = (density of liquid at 0°C) [(V(50°C) - V(0°C)) / (50°C - 0°C)] / 2.23 g
We can estimate the density of the liquid at 0°C using the mass and volume data:
density of liquid at 0°C = 44.25 g / V(0°C)
Substituting this into the expression for β gives:
β = [(44.25 g / V(0°C))] [(V(50°C) - V(0°C)) / (50°C - 0°C)] / 2.23 g
Simplifying this expression gives:
β = (V(50°C) - V(0°C)) / (50°C - 0°C) / V(0°C) x 44.25/2.23
β = (V(50°C) - V(0°C)) / (50°C x V(0°C)) x 19.8
We can estimate the change in volume using the linear expansivity of the glass:
ΔV = V(50°C) - V(0°C) = V(0°C) α ΔT
ΔV = V(0°C) (1.0 x 10^-5 K^-1) (50°C)
Substituting this into the expression for β gives:
β = [V(0°C) (1.0 x 10^-5 K^-1) (50°C)] / (50°C x V(0°C)) x 19.8
β = 1.0 x 10^-5 K^-1 x 19.8
β = 1.98 x 10^-4 K^-1
Therefore, the real cubic expansivity of the liquid is 1.98 x 10^-4 K^-1 using linear expansivity.
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The diameter of the asteroid Vesta is of the diameter of the planet Mercury. Mercury has a diameter of 5000 km. Calculate the diameter of Vesta. Show your working.
Answer:
5000 km
Explanation:
Sure, to calculate the diameter of Vesta, we can use the fact that Vesta's diameter is equal to the diameter of Mercury, which is 5000 km.
Therefore, the diameter of Vesta is also 5000 km.
We can show the working by using the following formula:
Diameter of Vesta = Diameter of Mercury
Diameter of Vesta = 5000 km
URGENT HELP NEEDED!!!
Two balls are rolling in the positive x-direction. Ball A has a mass of 1 kg, and rolls with velocity vA=4 m/s. Ball B has a mass of 2 kg, and rolls with velocity vB=3 m/s. If those balls were to collide, which of the following outcomes would conserve momentum?
vA=6 m/s, vB=2 m/s
vA=3 m/s, vB=4 m/s
vA=3.5 m/s, vB=3.5 m/s
vA=−2 m/s, vB=6 m/s
vA=10 m/s, vB=0 m/s
vA=−4 m/s, vB=−3 m/s
Answer:
Let's check each option to see if it conserves momentum:
Option 1: p_after = 1 kg * 6 m/s + 2 kg * 2 m/s = 10 kg m/s (conserves momentum)
Option 2: p_after = 1 kg * 3 m/s + 2 kg * 4 m/s = 11 kg m/s (doesn't conserve momentum)
Option 3: p_after = 1 kg * 3.5 m/s + 2 kg * 3.5 m/s = 10.5 kg m/s (doesn't conserve momentum)
Option 4: p_after = 1 kg * (-2 m/s) + 2 kg * 6 m/s = 10 kg m/s (conserves momentum)
Option 5: p_after = 1 kg * 10 m/s + 2 kg * 0 m/s = 10 kg m/s (conserves momentum)
Option 6: p_after = 1 kg * (-4 m/s) + 2 kg * (-3 m/s) = -10 kg m/s (doesn't conserve momentum)
Therefore, options 1, 4, and 5 conserve momentum.
Explanation:
Would the pressure at the bottom of a 3-feet-deep holding tank be different if the tank held motor oil instead of water? Motor oil is less dense than water.
What causes the abundance of gold in California?
Midas' Touch
Tectonic Plates
The ocean
Weathering
California has an abundance of gold due to tectonic plate movement. Global factors acting over tens of millions of years led to the concentration of gold in California, United States.
Where does the gold in California originate from?Although there are numerous places in California where gold may be discovered, the eastern and central parts of Sierra Nevada include the most fruitful zones. The major deposits, which are linked to the intrusion of a Sierra Nevada batholith, typically consist of gem veins in metamorphic rocks.
What makes gold so plentiful?Earth's core was created as molten steel sank to the planet's center during its creation. The great bulk of the earth's natural precious metals, including gold and platinum, were carried away by this. In truth, there are sufficient.
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