A spring with a 6-kg mass and a damping constant 7 can be held stretched 0.5 meters beyond its natural length by a force of 1.5 newtons. Suppose the spring is stretched 1 meters beyond its natural length and then released with zero velocity, In the notation of the text, what is the value c2−4mk? m2kg2/sec2 Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t with the general form c1eαtcos(βt)+c2eγtsin(δt)
Answers
Answer:
The value for \(c^2 - 4mk\) is : \(\mathbf{-23 \ m^2kg^2/sec^2}\)
The position of the mass (m) after t seconds is:
\(\mathbf{x(t) = e^{\frac{1}{2}t }( cos \frac{\sqrt{36}}{12}t + \frac{6}{\sqrt{36}} sin \frac{\sqrt{36}}{12}t)}\)
Explanation:
The spring constant is :
\(F = kx \\ \\ k = \frac{F}{x} \\ \\ k = \frac{1.5}{0.5} \\ \\ k = 3 \ N/m\)
The value for \(c^2 - 4mk\) is :
= \(7^2 - 4(6)(3)\)
= \(49 - 27\)
= \(\mathbf{-23 \ m^2kg^2/sec^2}\)
The differential equation for this system is :
\(m \frac{d^2x}{dt^2}+c \frac{dx}{dt}+kx = 0\)
\(6 \frac{d^2x}{dt^2}+7\frac{dx}{dt}+3x = 0\)
and the auxiliary equation for this differential equation is :
\(6m ^2+ 6m + 3 = 0\)
using the quadratic formula :
\(\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\)
\(\frac{-6 \pm \sqrt{6^2 - 4(6)(3)} }{2(6)}\)
= \(\frac{-6 \pm \sqrt{-36} }{12}\)
= \(-\frac{1}{2} \pm \frac{\sqrt{36} }{12}i\)
The general solution is :
\(x(t) = e^{-\frac{1}{2}t}}(c_1 cos {\frac{\sqrt{36} }{12}} t + c_2 sin \frac{\sqrt{36} }{12} t})\)
Initial conditions : \(x(0) = 1 \ m , x' (0) = 0\\\)
\(x(0) = ( c_1 cos 0 + c_2 sin 0)\)
\(1 = c_1\)
\(x't = e^{- \frac{1}{2}t}}}(- c_1 \frac{\sqrt{36} }{12} sin \frac{\sqrt{36} }{12}t + c_2 \frac{\sqrt{36} }{12} cos \frac{\sqrt{36} }{12}t) - e^{- \frac{1}{2}t}}} (\frac{1}{2}) (c_1cos \frac{\sqrt{36} }{12} t +c_2 sin \frac{\sqrt{36} }{12} t)\)
\(x'(0)= e^{- \frac{1}{2}t}}}(- c_1 \frac{\sqrt{36} }{12} sin0 + c_2 \frac{\sqrt{36} }{12} cos 0) - e^{- \frac{1}{2}t}}} (\frac{1}{2}) (c_10+c_2 sin0)\)
\(x'(0) = c_2 \frac{\sqrt{36} }{12}-c_1 \frac{1}{2}\)
replacing 1 for \(c_1\)
\(0 = c_2 \frac{\sqrt{36} }{12} -\frac{1}{2}\)
\(c_2 \frac{\sqrt{36} }{12} = \frac{1}{2}\)
\(c_2 = \frac{6}{\sqrt{36} }\)
The position of the mass (m) after t seconds is:
\(\mathbf{x(t) = e^{\frac{1}{2}t }( cos \frac{\sqrt{36}}{12}t + \frac{6}{\sqrt{36}} sin \frac{\sqrt{36}}{12}t)}\)
Related Questions
if the mass of a sliding block is doubled while a constant net force is applied by how much does the acceleration change
Answers
If the body's mass is doubled while the same force is being applied, the acceleration of the body is reduced by half.
Does increasing mass result in increased acceleration?The acceleration of an item is inversely proportional to its mass and directly proportional to the net force acting on it. As more force is applied to an item, its acceleration rises. A rise in an object's mass results in a decreasing acceleration.
How are acceleration and mass related?Newton's Second Law of Motion explains the connection between mass and acceleration. His Second Law argues that an object needs more force to accelerate the more mass it has.
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Three boxes, A, B, and C, are placed on a frictionless surface as shown in the diagram below. If you push on box A with a force of 8.25 N, find the contact force (in N) between each pair of boxes. Here mA = 6.25 kg, mB = 3.25 kg, and mC = 1.50 kg. contact force between A and B N contact force between B and C N
Answers
The contact force (in N) between each pair of boxes is mathematically given as
F_{ab} = 3.56 N
F_{bc} = 1.2 N
What is the contact force (in N) between each pair of boxes.?Generally, Any force that is generated as a consequence of two objects coming into touch with one another is referred to as a contact force. Contact forces are present everywhere and are the cause of the vast majority of macroscopic groupings of matter's obvious interactions with one another.
In conclusion, The equation for is Acceleration of the system is mathematically given as
a = 8.25 / (5.85 + 2.95 + 1.50)
a= 0.8 m/s^2
Therefore
F_{ab} = (Mb + Mc)*a
F_{ab} = (2.95 + 1.50) * 0.8
F_{ab} = 3.56 N
F_{bc} = Mc * a
F_{bc}= 1.5 * 0.8
F_{bc} = 1.2 N
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Melvina has a mass of 70 kg and is about to jump from the window ledge of a burning building.
The ledge is 80 m above the ground. What is Melvina's potential energy?
Answers
Melvina's potential energy is 54,880 Joules.
To calculate Melvina's potential energy, we need to use the formula for gravitational potential energy:
Potential energy = mass × gravitational acceleration × height
Potential energy is a measure of the energy an object possesses due to its position relative to other objects. In this case, Melvina's potential energy is a result of her height above the ground. As she stands on the ledge of the burning building, her potential energy is stored and can be converted into other forms of energy if she were to jump or fall. The potential energy will decrease as she descends, and it will be converted into kinetic energy (energy of motion).
Given that Melvina has a mass of 70 kg and the ledge is 80 m above the ground, we can substitute the values into the formula:
Potential energy = 70 kg × 9.8 m/s² × 80 m
Calculating this, we find:
Potential energy = 54,880 Joules
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A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J
Answers
The potential energy of the roller coaster is 176,400 J (joules).
The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.
In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).
Using the formula, we can calculate the potential energy:
PE = mgh
= (900 kg)(9.8 \(m/s^2\))(20 m)
= 176,400 J
Therefore, the potential energy of the roller coaster is 176,400 J (joules).
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Which of these is a natural material?
cloth
sand
steel
brick
Answers
Answer:
sand
Explanation:
Wood (rattan, bamboo, bark, etc.) Natural fiber (silk, wool, cotton, flax, hemp, jute, kapok, kenaf, moss, etc.)
Answer:
Sand is a type of naturally occurring material that is of a granular, loose, fragmented composition, consisting of particulate matter such as rock, coral, shells, and so on. Sand is typically finer than gravel but coarser than silt.
Explanation:
Cotton, silk, hemp, bamboo, linen, leather, feathers, wool, and rubber are all naturally-occurring materials and unless they've been irresponsibly processed or dyed, there's no risk of absorbing dangerous chemicals through your skin.
To better understand crash dynamics we have to look at "__________."
A. the law of gravity
B. Bernoulli's principle
C. the laws of motion
D. Archimedes' principle
Answers
To better understand crash dynamics we have to look at "the laws of motion."
The laws of motion
The laws of motion were introduced by Sir Isaac Newton in 1687 in his book Philosophiæ Naturalis Principia Mathematica ("Mathematical Principles of Natural Philosophy"), which defined the laws of motion, or three fundamental laws that govern the movement of bodies. The laws of motion, according to Newton, govern the motion of an object or a system of objects that interact.
It defines the concepts of force and mass, and the fundamental dynamics of motion.The following are the laws of motion:Every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. The velocity of an object changes proportional to the force applied to it, and the acceleration of an object is proportional to both its force and its mass. For every action, there is an equal and opposite reaction.
Therefore, these laws are necessary to fully grasp crash dynamics because they explain how objects respond to outside forces that cause them to accelerate or decelerate.
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Can someone help me please?
Answers
Answer: its the answer because if its not the the answer would be wrong
Explanation: you have to go and do the answer like this and then the answer is correct because its not the wrong one this is the way how to do it or else its wrong
An object with a mass of 7 kg accelerates 8 m/s2 when an unknown force is applied to it. What is the amount of the force?
Answers
The amount of force applied to the 7kg object that caused it to accelerate at 8m/s² is 56 newtons.
What is the force applied to the object?A force is simply a push or a pull of an object resulting from the object's interaction with another object.
From newton's second law;
Force = mass × acceleration
Given the data in the question;
Mass of the object = 7kgAcceleration = 8m/s²Applied force = ?Plug the given values into the formula to determine the applied force.
Force = mass × acceleration
Force = 7kg × 8m/s²
Force = 56kgm/s²
Force = 56 N
Therefore, the applied force is 56 newtons.
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About 1.75% of water on Earth is in Greenland and Antarctica's icecaps, and about 97.5% is in the oceans. Assume the icecaps have an average temperature of -28°C, and the oceans have an average temperature of 4.8°C. If all the icecaps slid into the ocean and melted, how much would the average temperature of the ocean decrease?
Answers
If all the icecaps slid into the ocean and melted, the average temperature of the ocean would decrease by approximately 0.28°C.
To calculate the decrease in the average temperature of the ocean when all the icecaps melt, we need to consider the heat exchange between the icecaps and the ocean.
Let's start by calculating the heat released by the icecaps when they melt. We can use the specific heat capacity formula:
Heat released = Mass of icecaps × Specific heat capacity of ice × Temperature change
Since the icecaps constitute 1.75% of the Earth's water, the mass of icecaps is 0.0175 times the total mass of water on Earth.
Assuming the icecaps have an average temperature of -28°C and melt into liquid water at 0°C, the temperature change is 0°C - (-28°C) = 28°C.
Next, we need to calculate the heat absorbed by the ocean when the icecaps melt. Using the same formula:
Heat absorbed = Mass of ocean water × Specific heat capacity of water × Temperature change
Given that the oceans constitute 97.5% of the Earth's water, the mass of the ocean water is 0.975 times the total mass of water on Earth.
Assuming the oceans have an average temperature of 4.8°C, the temperature change is 4.8°C - 0°C = 4.8°C.
Now we can calculate the change in temperature of the ocean:
Change in temperature = Heat released / (Mass of ocean water × Specific heat capacity of water)
Substituting the values, we get:
Change in temperature = (0.0175 × Total mass of water) × (Specific heat capacity of ice × Temperature change) / (0.975 × Total mass of water × Specific heat capacity of water)
The total mass of water cancels out, leaving us with:
Change in temperature = (0.0175 × Specific heat capacity of ice × Temperature change) / (0.975 × Specific heat capacity of water)
Substituting the specific heat capacities of ice and water (0.5 cal/g°C and 1 cal/g°C, respectively), and the temperature change (28°C), we get:
Change in temperature = (0.0175 × 0.5 cal/g°C × 28°C) / (0.975 × 1 cal/g°C)
Simplifying the equation, we find:
Change in temperature ≈ -0.28°C
Therefore, if all the icecaps slid into the ocean and melted, the average temperature of the ocean would decrease by approximately 0.28°C.
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which thermometer is used in hot region.why?
Answers
Answer:
Mercury is the only one in liquid state at room temperature. It's used in thermometers because it has high coefficient of expansion.
Explanation:
please mark me brainlist
Mercury is the only one in liquid state at room temperature. It's used in thermometers because it has high coefficient of expansion. they still use mercury even though it is the poorest conductor of heat.
2. The following diagram shows a metal ball and ring apparatus. The ring and ball are both made of brass. At room temperature, the ball is just the right size to pass through the ring. When the ball is heated, it is unable to pass through the ring. Which of the following is NOT true? A The volume of the ball increased. B The mass of the ball increased. C. The speed at which the particles move increased. D The spaces between the particles increased. Not True
Answers
The statement that is NOT true is "the spaces between the particles increased.
option D.
What is effect of temperature on volume?If we consider the solids and liquids, when the temperature increases the molecules gain energy and start moving in all directions. This expands the substance and the volume of the substance increases.
Similar, when the ball is heated, the volume of the ball increases due to thermal expansion.
As the temperature increases, the average kinetic energy of the particles within the ball also increases, causing them to move faster.
However, the spaces between the particles do not necessarily increase. In fact, the expansion of the ball occurs due to the particles themselves moving farther apart, but the intermolecular spacing within the ball remains relatively constant.
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A cheetah can accelerate to 60mph (26.8 m/s) in 2.90 seconds! How long will it take a cheetah to run 40 meters starting from rest? Please show work.
Answers
Answer:
It will take 2.94 s to run 40 meters starting from rest.
Explanation:
Given that,
Initial speed of cheetah, u = 0
Final speed of cheetah, v = 26.8 m/s
Time, t = 2.9 s
We need to find how long will it take a cheetah to run 40 meters.
First finding acceleration of cheetah ,
\(a=\dfrac{v-u}{t}\\\\a=\dfrac{26.8-0}{2.9}\\\\a=9.24\ m/s^2\)
Let it will take t seconds. So, using second equation of motion to find it.
\(d=ut+\dfrac{1}{2}at^2\\\\40=0+\dfrac{1}{2}\times 9.24t^2\\\\40=0+4.62t^2\\\\t^2=\dfrac{40}{4.62}\\\\t=2.94\ s\)
So, it will take 2.94 s to run 40 meters starting from rest.
The circuit is protected by a ground fault interrupter in the plug. The water in the tank is grounded. The two bare wires correspond to the two pins on the ground fault interrupter plug. If the __________ wire is touched to the water, the ground fault interrupter will disconnect the circuit. Select the best answer from the choices provided. View Available Hint(s) Select the best answer from the choices provided. Neutral Hot Ground
Answers
Answer:
Hot
Explanation:
GFI or GFCI This device protected from collecting the electric shocks arise from the faults in the electric devices that are used at home. It would be work by comparing the current on the input side that shows the hot side to the current on the outside side that shows the neutral side
In the case when hot wire give 120 VAC current source while on the other hand the neutral wire gives the return path that are given by the hot wire
Hence, the hot would be the answer
A student performs an experiment in which a 4kg object travels across a horizontal surface with an initial speed velocity of 6m/s and a 2kg object travels across a horizontal surface with an initial speed velocity of −3m/s. The objects travel toward each other and collide. Data collected from the experiment were used to create the velocity versus time graph shown that contains information about both objects before and after the collision. The positive direction is considered to be to the right. Which of the following statements are true regarding the data from the experiment?
A- Both objects always travel in the positive direction during the experiment.
B- Kinetic energy is conserved during the experiment.
C- The position of the center of mass of the system remains constant during the experiment.
D- The velocity of the center of mass of the two-object system remains constant during the experiment.
Answers
The position of the center of mass of the system remains constant during the experiment.
Conservation of linear momentumThe principle of conservation of linear momentum states that the total momentum of the system before after collision is always conserved for both elastic and inelastic collision.
\(m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2\ \ (elastic)\\\\m_1 u_1 + m_2 u_2 = v(m_1 + m_2 ) \ (inelastic)\)
Conservation of kinetic energyThe total kinetic energy of the system is conserved for perfectly elastic collision BUT not conserved for inelastic collision.
The center mass of the system
The center mass of the system is always constant.
Thus, the position of the center of mass of the system remains constant during the experiment.
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how much energy is possessed by 1 mole of nitrogen atoms moving at 35.0 m/s ?
Answers
1 mole of nitrogen atoms moving at 35.0 m/s possesses approximately 27.8 joules of energy.
To calculate the energy possessed by 1 mole of nitrogen atoms moving at 35.0 m/s, we need to consider both the kinetic energy and the molecular mass of nitrogen.
The kinetic energy (KE) of an object is given by the equation KE = 1/2 * m * v^2, where m is the mass and v is the velocity.
The molar mass of nitrogen (N₂) is approximately 28.0134 g/mol, which can be converted to kilograms by dividing by Avogadro's number (6.022 × 10^23). This gives us a mass of approximately 4.65 × 10^(-26) kg for one nitrogen atom.
Plugging in the values, we have KE = 1/2 * (4.65 × 10^(-26) kg) * (35.0 m/s)^2.
Evaluating the equation, we find that the kinetic energy possessed by one nitrogen atom is approximately 4.62 × 10^(-23) joules.
Since we are considering 1 mole of nitrogen atoms, we need to multiply this value by Avogadro's number to get the energy possessed by 1 mole. Avogadro's number is 6.022 × 10^23, so the total energy is approximately 2.78 × 10^1 joules, or 27.8 J.
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I need help with finding the centrifugal force.Given data: Mass of a scooter, m = 80 kgRadius of a circular path, r = 16 mVelocity of a scooter, v = 2 m/sCentrifugal force acting on a scooter, Fc = ?
Answers
Given:
m= 80 kg
r= 16 m
v= 2m/s
Apply:
\(Fc=\frac{m\text{ v}^2}{r}\)Replacing:
\(Fc=\frac{(80kg)(2m/s)^2}{16m}\)Fc = 20 kgm/s^2 = 20 N
Why is it important to know the density of a material?
Answers
Answer:
No Answer, Just Explanation
Explanation:
Knowing the density of materials is very useful. Designers will estimate the weight of a product by multiplying the volume by the density of a material, this is very useful if a product had to be designed within a certain weight limit. You can also identify a material by measuring its volume and mass.
which area of the periodic table are you likely
to find semiconductors? Explain
Answers
Answer:
The elemental semiconductors are those composed of single species of atoms, such as silicon (Si), germanium (Ge), and tin (Sn) in column IV and selenium (Se) and tellurium (Te) in column VI of the periodic table.Explanation:
Semiconductors are found in the p-block of the periodic table as they usually have 4 valence electrons.
What is periodic table?Periodic table is a tabular arrangement of elements in the form of a table. In the periodic table, elements are arranged according to the modern periodic law which states that the properties of elements are a periodic function of their atomic numbers.
It is called as periodic because properties repeat after regular intervals of atomic numbers . It is a tabular arrangement consisting of seven horizontal rows called periods and eighteen vertical columns called groups.
Elements present in the same group have same number of valence electrons and hence have similar properties while elements present in the same period show gradual variation in properties due to addition of one electron for each successive element in a period.
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Logan pushes a box with a 400n of force with a direction angle of 30 degrees, while Andrew pushes the same box with a force of 250N with a direction angle of 290 degrees.which of the following can be used to determine the direction angle of the resultant vector (force) on the box?
Answers
We will have the following:
We will have that the expression that will give as solution the approximate angle is:
\(\theta=tan^{-1}(\frac{-35}{342})\)[First option].
***Explanation***
We know that the final vector will have two components, one on x and one on y.
Now, we know that the x-component is:
\(\sum F_x=400cos(30)+250cos(70)\approx432\)And we know that the y-component is:
\(\sum\)A swimming fish has a momentum of 8 kg-m/s. It eats a stationary 2 kg fish and keeps
swimming. What is their new momentum?
a. Zero
b. 10 kg-m/s
c. 8 kg-m/s
d. 16 kg-m/s
Answers
Answer:
d. 16 kg-m/s
Explanation:
The new momentum of the swimming fish after eating the stationary fish can be calculated by adding the momentum of the initial swimming fish and the momentum of the stationary fish. Since momentum is a vector quantity, the direction of the momentum is the same as the direction of motion of the fish. If the fish continues to swim with the same velocity after eating the stationary fish, then the new momentum is the sum of the initial momentum of the swimming fish and the momentum of the stationary fish.
Initial momentum of swimming fish = 8 kg-m/s
Momentum of stationary fish = 2 kg * 0 m/s = 0 kg-m/s
New momentum = Initial momentum of swimming fish + Momentum of stationary fish = 8 kg-m/s + 0 kg-m/s = 8 kg-m/s + 2 kg-m/s = 10 kg-m/s.
So, the correct answer is (d) 16 kg-m/s.
Answer:
C
Explanation:
Using law of conservation of momentum of the system
Momentum before = momentum after
8 kg m/s = 8 kg m/s
The second fish has zero momentum, so after eating it the system still has momentum of 8 kg m/s
A sculpture of a man sitting with his legs crossed, feet facing up. One hand is raised beside the shoulder, palm out. The other is placed on the knee. Two smaller figures stand behind the seated man and two smaller figures float above him.
This sculptural representation of Buddha is an example of the _____________ school of thought.
a.
Gandhara
c.
Amaravati
b.
Mathura
d.
Gupta
Answers
This sculptural representation of Buddha is an example of the Mathura school of thought.
Mathura school of thought
The sandstone from which Seated Buddha was carved was preferred by the artist workshops of Mathura, a city in northern India.
This sculpture is a figure of a man sitting with his legs crossed, feet facing up. One hand is raised beside the shoulder, palm out.
Thus, this sculptural representation of Buddha is an example of the Mathura school of thought.
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Answer:
b.
Mathura
Explanation:
The ship motion compared with which reference point?
Answers
Since the cruise ship makes its way from one island to another. The ship is in motion is compared with the reference point of option C. a lighthouse on a nearby island.
What is the motion of the cruise ship about?Sine the cruise ship from one Island is relocating, the lengthy duration by the passengers within the ship makes it simple to detect the ship motion.
The skipper is the only one who is aware of the ship's direction and speed. Even though the cargo loads are stable and related to the ship's course, we cannot take them into account when calculating the traveling distance of the ship.
Since it is in the sea and relatively close to it, the lighthouse on the island can be used to calculate the distance traveled by ships. Due to its stability, we can use it as a reference point in the water that can be seen from a great distance.
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See full question below
A cruise ship makes its way from one island to another. The ship is in motion compared with which reference point?
A.
the passengers on the ship
B.
the captain of the ship
C.
a lighthouse on a nearby island
D.
the cargo inside the hull of the ship
What is centripetal force?Define it with example.
Answers
Answer:
Centripetal force is defined as, "the force that is necessary to keep an object moving in a curved path and that is directed inward toward the center of rotation,"
Explanation:
so if you put a small ball por grape and put it on a table and you take a wine glass and spin it around the grape the grape will continue spinning even if you stop spinning the glass hope this helped
;)
Answer:
A force acting on a moving body at an angle to the direction of motion, tending to make the body follow a circular or curved path. The force of gravity acting on a satellite in orbit is an example of a centripetal force; the friction of the tires of a car making a turn similarly provides centripetal force on the car.
Explanation:
7. Imagine you could look at the flashlight from behind your object, looking
from the darkest and lightest parts of the object's shadow. How much of
the light source do you think you could see from each location?
Answers
From the darkest part of the object's shadow, you would be able to see a small amount of the light source. There would be a small amount of light that is visible, but it would be faint. On the other hand, from the lightest part of the shadow, you would be able to see much more of the light source. The light source would be far brighter and more visible, and you would be able to identify the source of the light.
Hope this helps! Have a nice day. :)I need help with this table pleasecalculate relative density of steel. Use table 3
Answers
Take into account that the relative density is given by:
\(\rho_{\text{rel}}=\frac{\rho}{\rho_{\text{water}}}\)where ρ, in this case, is the density of the steel and ρwater is the density of water (1000 kg/m^3).
The density of the steel is:
\(\rho=\frac{\text{mass}}{\text{volume}}\)Based on table 3, you have:
mass = 50.7 g = 0.0507 kg
volume = 0.0000063 m^3
\(\rho=\frac{0.0507kg}{0.0000063m^3}\approx8047.62\frac{kg}{m^3}\)Then, for the relative density you obtain:
\(\rho_{\text{rel}}=\frac{\rho}{\rho_{\text{water}}}=\frac{8047.62\frac{kg}{m^3}}{1000\frac{kg}{m^3}}\approx8.048\)Hence, the relative density of steel is 8.048
Write the name of the three missing categories of expenditure that contribute to a country's GDP.
. Draw a picture that accurately represents each category.
.Several pictures or categories are already filled in for yo
Answers
The three missing categories of expenditure that contribute to a country's GDP are
Government spending This includes all expenditures made by the government on goods and services, such as salaries of government employees, public infrastructure, defense spending, and social welfare programs. Government spending is represented by the letter "G" in the formula for GDP GDP = C + I + G + (X-M).
Exports This refers to the value of all goods and services that a country produces and sells to other countries. Exports are represented by the letter "X" in the formula for GDP GDP = C + I + G + (X-M).
Imports This refers to the value of all goods and services that a country purchases from other countries. Imports are subtracted from the formula for GDP since they represent a leakage from the economy. Imports are represented by the letter "M" in the formula for GDP GDP = C + I + G + (X-M).
Here is a brief description of the categories of expenditure that have already been filled in
Personal consumption expenditures (C) This category includes all spending by households on goods and services, such as food, housing, healthcare, and education.
Gross private domestic investment (I) This category includes all investment spending by businesses, such as purchases of machinery, equipment, and structures, as well as changes in inventories.
GDP formula The formula for GDP is the sum of all final goods and services produced within a country's borders in a given time period. It can be expressed as GDP = C + I + G + (X-M).
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What is the magnitude of the gravitational force of attraction be-
tween two asteroids in space, each with a mass of 50,000 kg,
separated by a distance of 3800 m?
Answers
This model shows DNA, chromosomes, and genes. If B is a cell and C is the nucleus, what is A?
Answers
Based on the information, we can infer that A. represents a Mitochondria.
What is a mitochondria?Mitochondria is a term to refer to the eukaryotic cell organelles responsible for supplying most of the energy necessary for cell activity through the process called cellular respiration.
Based on the information, we can infer that the element that is labeled with the letter A is a mitochondrion because its location is that of a mitochondrion. In this case, the mitochondria is red, although in other models it can be represented with another color. In general, it is given this shape and this color to distinguish it from other elements of the cell.
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3. An object is positioned a distance of 5.1 m from a plane mirror. Determine the...
a. ... distance the image is located from the plane mirror.
b. ... distance the image is located from the object.
Answers
The image distance from the plane mirror is 5.1 m.
The object distance from the plane mirror, u = 5.1 m
a) We know that the magnification of a plane mirror is always unity. That means the magnification is always one.
The expression for magnification of a plane mirror is given by,
m = - u/v
Therefore, the image distance from the plane mirror,
v = u
v = 5.1 m
That means the image distance and object distance are the same in a plane mirror.
b) The object is positioned at 5.1 m distance in front of the plane mirror. so, the image will be formed at 5.1 m distance behind the plane mirror.
Therefore,
The distance between the image and the object = 5.1 + 5.1 = 10.2 m
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If an object has more mass then it will have...
A: less intertia
B: more inertia
C: more volume
D: less volume