A rectangle has an area measuring 1350 square centimeters. Its length and width are whole numbers of centimeters. What are the possible combinations of length and width? which possibility gives the smallest perimeter?.
Answers
The smallest perimeter of the rectangle is of value 150 cm.
Given:
The area of the rectangle, A = 1350 cm²
Calculation:
Let the length of the rectangle be 'x'
the breadth of the rectangle be 'y'
We know that the area of a rectangle is given as:
A = (x) × (y)
Applying values in the above equation we get:
xy = 1350 cm²
Factorizing the value of 1350, the possible values of length and breadth of the rectangle is as listed below:
x (cm) y (cm)
1350 × 1
675 × 2
450 × 3
270 × 5
225 × 6
150 × 9
135 × 10
90 × 15
75 × 18
54 × 25
50 × 27
45 × 30 (least possible value)
Thus, the smallest perimeter of the rectangle can be calculated as:
P = 2 (x + y)
= 2 (45 + 30)
= 150 cm
Therefore, the smallest perimeter that the rectangle will have is 150 cm.
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Related Questions
question is down below
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The vertical components of velocity is 10.35 m/s and the horizontal component of velocity is 38.6 m/s
What are the components of velocity?We know that velocity is a vector quantity, a vector often can be resolved into its components. The vertical components is V sinθ while the horizontal component is vcosθ.
Hence;
Vertical component = 40 m/s sin 15 degrees = 10.35 m/s
Horizontal component = 40 cos 15 degrees = 38.6 m/s
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use the tools to measure the velocity of the cart after the string was cut. This velocity will be a constant on a smooth surface (after the spring is no longer pulling). What value did you get for the velocity
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The value gotten for the velocity after using the use the tools to measure the velocity of the cart after the string was cut is positive
What is velocity?Velocity can simply be defined as the rate of change of displacement with time
Velocity is measured in meters per second (m/s)
So therefore, thee value gotten for the velocity after using the use the tools to measure the velocity of the cart after the string was cut is positive
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A radar receiver indicates that a pulse return as an echo in 20 μs after it was sent. How far away is the reflecting object? (c = 3.0 × 10^8 m/s)
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A radar receiver indicates that a pulse return as an echo in 20 μs after it was sent. The reflecting object would be 3000 m away .
Phenomenon of hearing back our own sound is called an echo. It is due to successive reflection of sound waves from the surfaces or obstacles of large size. To hear an echo, there must be a time gap of 0.1 second in original sound and the reflected sound.
Given
time = 20 μs = 20 * [tex]10^{-6}[/tex] s
let distance to the reflecting surface be = x
total distance travelled by pulse will be = 2x
speed = 3.0 × [tex]10^{8}[/tex] m/s
distance = speed * time
2x = 3.0 × [tex]10^{8}[/tex] * 20 * [tex]10^{-6}[/tex]
x = 3000 m
The reflecting object would be 3000 m away
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PLS GIVE RIGHT ANSWER
I GIVE UP
YOU WILL GET 100 PTS or MORE
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Answer:
it is in explanation part
Explanation:
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Is the star moving toward earth, away from earth, or is there not enough information provided to determine its motion?
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If a star is moving towards Earth, shift towards the blue end of the spectrum, this is called blue shift. If the star is moving away from Earth the light from that star will be red and is called red shift .
The faster a star moves towards the earth, the more its light is shifted to higher frequencies. In contrast, if a star is moving away from the earth, its light is shifted to lower frequencies on the color spectrum
if a star is moving towards Earth, it appears to emit light that is shorter in wavelength compared to a source of light that isn't moving. Because shorter wavelengths correspond to a shift towards the blue end of the spectrum, this is called blue shift.
If the star is moving away from Earth, its light will lose energy to reach Earth, therefore the light from that star will be red and is called red shift
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An object at rest has no ________ energy, but it may have ________ energy resulting from its location or structure. An object at rest has no ________ energy, but it may have ________ energy resulting from its location or structure. chemical; potential kinetic; potential kinetic; heat potential; kinetic
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Answer: An object at rest has no kinetic energy, but it may have potential energy resulting from its location or structure.
Explanation: To find the answer, we need to know more about the kinetic and potential energies.
What is kinetic energy of a body?Kinetic energy is a form of mechanical energy possessed by a body by virtue of its motion.Kinetic energy of a body of mass m moving with a velocity v is given by,[tex]KE=\frac{1}{2}mv^2[/tex]
What is potential energy?Potential energy is a form of mechanical energy possessed by a body by virtue of its position in the field or configuration.PE is always associated with a conservative force.There cannot be potential energy due to frictional or viscous forces.Thus, we can conclude that, an object at rest has no kinetic energy, but it may have potential energy resulting from its location or structure.
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If we wanted to improve the efficiency of technology to reduce electrical power consumption. The sectors we would choose are?
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If the efficiency of technology was to be improved in other to reduce electrical power consumption, the sectors which would be chosen is referred to as residential and commercial.
What is Technology?This is defined as the application of science to the practical aims and activities of human life. Power on the hand is defined as the amount of energy which is transferred per unit time and the S.I unit is referred to as Watts.
It can be inferred that electric power consumption is most abundant in residential and commercial sectors due to the number of appliances and hours which are present and used in this area.
It is therefore appropriate to focus on these two sectors so as to achieve the aim of an efficient technology in reduction of electrical power consumption.
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A laser is shone through a double slit and a particular interference pattern is observed on a screen some distance away. If the separation between the openings is increased, the distance between the fringes will
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If the separation between the openings in a laser is increased, then the distance between the interference fringes decreases
What is Interference fringe ?Interference fringe refers to bands caused by different lights which can be found in phase or not each other.
Distances between laser fringes are short which is due to light wavelength.The interference fringes can be estimated by knowing slit separation and wavelength.In conclusion, if the separation between the openings in a laser is increased, then the distance between the interference fringe decreases
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The motor ___________ currents listed in NEC Tables 430.247 through 430.250 shall be used to determine the ampacity of motor circuit conductors and short-circuit and ground-fault protection.
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The motor full load currents listed in NEC Tables 430.247 through 430.250 shall be used to determine the capacity of motor circuit conductors and short-circuit and ground-fault protection. This is further explained below.
What is currents?Generally, Moving through an area of water or air where there is less movement than the water or air itself, an eddies
In conclusion, Using the full load currents indicated in NEC Tables 430.247 through 430.250, the capacity of motor circuit conductors and short-circuit and ground-fault protection for motors should be determined.
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Russia shut off the nord stream pipeline that supplies which nation with natural gas?.
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Russia shut off the Nord Stream pipeline that supplies natural gas to Germany.
What is the Nord Stream pipeline?
A pair of offshore natural gas pipeline systems in Europe called Nord Stream cross the Baltic Sea from Russia to Germany. It consists of the Nord Stream 1 and Nord Stream 2 pipelines, both of which originate in northwest Russia, near Finland, in Vyborg and Ust-Luga, respectively. Both pipelines travel to Lubmin in the Mecklenburg-Vorpommern state of northeastern Germany.
Due to Russia's invasion of Ukraine, certification for Nord Stream 2 has been rejected. When referring to a larger network of pipelines, such as the feeding onshore pipeline in Russia and additional connections in Western Europe, the term "Nord Stream" is sometimes used.
Nord Stream joins the NEL pipeline to Rehden near Bremen in northwestern Germany and the OPAL pipeline to Olbernhau in eastern Germany at the Czech border in Lubmin.
Thus, the Nord Stream pipeline supplies natural gas to Germany.
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How does the distance between adjacent orbits in a hydrogen atom vary with increasing values of the orbital number n?
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The distance between adjacent orbits in a hydrogen atom vary with increasing values of the orbital number n because:
Option C: The energy difference between adjacent orbit radii decreases with increasing values of the principal quantum number.What determines the distance of the electrons from the nucleus?In an atom, an electron is known to be attracted to a given nucleus by the use of "electromagnetic force".
Note that similar to a baseball, the faster the electron is said to go, the farther away from the nucleus it is known to be seen. Therefore, the electrons in an atom are known to be in a state where they are moving a lot and very fast, so they are said to be far away from their nucleus.
Note also that energy difference between what we call consecutive levels tends to often decreases as well as increases.
Therefore, The distance between adjacent orbits in a hydrogen atom vary with increasing values of the orbital number n because:
Option C: The energy difference between adjacent orbit radii decreases with increasing values of the principal quantum number.Learn more about hydrogen atom from
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See full question below
Consider the hydrogen atom. How does the distance between adjacent orbits in a hydrogen atom vary with increasing values of the orbital number n?
The distance difference between adjacent orbit radii varies with increasing values of the principal quantum number.
The distance difference between adjacent orbit radii increases with increasing values of the principal quantum number.
The distance difference between adjacent orbit radii remains constant with increasing values of the principal quantum number.
The distance difference between adjacent orbit radii decreases with increasing values of the principal quantum number.
John is talking to his friend about painting a fence. He states that if he uses a roller brush he will cover the fence faster than if he uses a bristle brush. This is an example of a a. Law b. Belief c. Theory d. Hypothesis
Answers
Answer:
b
Explanation:
Find the work done when a constant force f = 13 lbs moves a chair from x = 2.4 to x = 4.1 ft. along the x -axis.
Answers
The work done in moving the chair from x = 2.4 to x = 4.1 ft using a force of F = 13 lbs is 29.98 J
What is work done?This is simply defined as the product of force and distance moved in the direction of the force. Mathematically, it can be expressed as
Workdone (Wd) = force (F) × distance (d)
Wd = Fd
How to convert lb to N1 lb = 4.45 N
Therefore,
13 lbs = 13 × 4.45
13 lbs = 57.85 N
How to determine the distance in mInitial distance = 2.4 ftFinal distance = 4.1 ftChange in distance = 4.1 -2.4 = 1.7 ft1 ft = 0.3048 m
Therefore,
1.7 ft = 1.7 × 0.3048
1.7 ft = 0.51816 m
How to determine the workdoneForce (F) = 57.85 NDistance (d) = 0.51816 mWorkdone (Wd) =?Wd = Fd
Wd = 57.85 × 0.51816
Workdone = 29.98 J
Thus, the workdone in moving the chair is 29.98 J
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2. Find rectangular coordinates for the point (6, 240°).
Answers
Answer:
(-3, -3√3)
Explanation:
To convert from polar coordinate to rectangular coordinate, first you have to know these two equations:
[tex]\displaystyle{x=r\cos \theta}\\\displaystyle{y=r\sin \theta}[/tex]
We know that (x,y) is in rectangular coordinate form while (r,θ) is in polar coordinate form.
Therefore, substitute r = 6 and θ = 240° in both equations:
[tex]\displaystyle{x=6\cos 240^{\circ}}\\\displaystyle{y=6\sin 240^{\circ}}[/tex]
After evaluating, you'll get:
[tex]\displaystyle{x=-3}\\\displaystye{y=-3\sqrt{3}}[/tex]
Therefore, substitute x and y in rectangular coordinate form - hence, the answer is (-3, -3√3)
Visualizing the body in the position is significant because all observers have a common point of reference when describing and discussing its regions.
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Visualizing the body in the anatomical position is significant because all observers have a common point of reference when describing and discussing its region.
What is the anatomical position?Anatomical position, also known as conventional anatomical position, refers to the body's position while it is standing erect and looking forward, with each arm hanging on either side of the body and palms facing forward. The legs are parallel, with the feet level on the floor and forward facing. When explaining particular anatomical words and locations in human anatomy and physiology, the anatomical position is a standard point of reference. Visualizing the body in its anatomical location is important because it provides a single point of reference for all observers when describing and discussing its region.As the description itself says, visualizing the body in its anatomical location is important because it provides a single point of reference for all observers when describing and discussing its region.
Therefore, visualizing the body in the anatomical position is significant because all observers have a common point of reference when describing and discussing its region.
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The question you are looking for is given here:
Visualizing the body in the _____________ is significant because all observers have a common point of reference when describing and discussing its region.
physical and chemical properties of water
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(Not sure how many examples you need so I will put three for each)
Physical:
Chemical:
One of the most significant characteristics of water is its amphoteric tendency. Amphoteric refers to a substance's capacity to function as an acid or base. Water is neither acidic nor basic in its natural form. Its capacity to give and receive protons is the key justification. However, rainfall has a pH between 5.2 and 5.8, making it mildly acidic.Water is referred to be the all-purpose solvent. This is due to its chemical makeup, physical characteristics, high dielectric constant, and other factors that make it the most solvent material. It can attract other compound molecules, disabling their molecular forces and causing them to dissolve since hydrogen and oxygen both have positive and negative charges that are available.Water is a chemical molecule made up of two hydrogen atoms and one oxygen atom. The liquid condition of that substance is often referred to as water, and the solid and gas phases are respectively referred to as ice and steam.Fire spreading from a wall to a nearby couch due to radiant heat transfer is an example of: Select one:
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Fire spreading from a wall to a nearby couch due to radiant heat transfer is an example of heat reflectivity.
What is heat reflectivity?
When sunlight and other light sources strike a material's surface, its reflectance is measured. This number can be used to characterize a surface's characteristics in terms of surface finish. Another name for reflection is reflectivity.
This is a measurement of the amount of energy that material reflects at a specific wavelength. A value between 0 and 1 can also be used to represent reflectivity (or a percentage between 0 and 100).
Sigma and other top businesses have created a range of other forms of heat reflective fabric in the 50 years after the creation of space blankets, including Fabric and aluminum foil laminates, fabric laminates with metalized thin films.
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Cytosine is methylated resulting in 5-methylcytosine. What is the most likely outcome?.
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Answer: Cytosine is methylated resulting in 5-methylcytosine. Then the gene expression will decrease.
Explanation: To find the answer, we need to know more about the methylation of cytosine.
What is methylation of cytosine?Methylation means the addition of a methyl group on a substrate of an atom.It's a form of alkylation, here a methyl group replaces a hydrogen atom.Methylation of cytosine occurs at CpG palindrome in DNA.When cytosine is methylated to produce 5- methyl cytosine, which results in a decrease in gene expression.Thus, we can conclude that, Cytosine is methylated resulting in 5-methylcytosine. Then the gene expression will decrease.
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1. Determine the energy released per kilogram of fuel used.
Given MeV per reaction, calculate energy in joules per kilogram of reactants.
Consider 1 mole of tritium plus 1 mole of deuterium to be a mole of “reactions” (total molar mass = 5 grams).
2. Determine the mass of fuel required for the expected energy consumption in the United States for the next 10 years.
Energy use per person per year in the United States = 3.5 × 1011 joules.
Base your calculations on a current population of 310,000,000.
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1MeV = 1.6 x 10-13 J and 3.5 x 1011 joules of energy is energy in joules per kilogram of reactants.
The amount of fuel needed to meet US expectations for energy consumption over the next ten years.
In the US, each person uses 3.5 x 1011 joules of energy annually. 310,000,000 people make up the present population, thus use 1MeV = 1.6 x 10-13 J in your calculations.
In the US, annual energy consumption per person is equal to 3.5 x 1011Joules (estimated, varies by source, August 2009)
USA population: 310,000,000, roughly.
One mega electron volt, or one million electron volts, is designated as MeV. A particle with one electron charge will gain one MeV of energy when it passes through a potential difference of one million volts in a vacuum.
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A canister filled with 1.3 mol of single-atom helium gas has a temperature of 315 K. What is the approximate total internal energy of the gas? (Recall that the equation for kinetic energy due to translation in a gas is: 3/2 nRT; the equation for kinetic energy due to rotation of a molecule in a gas is: nRT; and R = 8.31 J/(mol.K).)
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The total internal energy of the gas is 5104 Joule.
What is the internal energy of n mole of monoatomic gases?Internal energy= f/2 × nRTf = degrees of freedom, R= universal gas constant with value 8.31 J/(mol K), T= temperatureFor mono-atomic gas, degrees of freedom is 3. So internal energy= 3/2× nRTWhat is the internal energy of 1.3 mole of helium at 315K temperature?Internal energy of helium gas=
3/2 × 1.3 × 8.31 × 315
= 5104 joule
Thus, we can conclude that the internal energy of the helium gas is 5104 Joule.
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Which type of motorcycle features rear-positioned footrests, high power-to-weight ratio, and a forward leaning ride
Answers
Sport-type motorcycles typically feature a higher than average power-to-weight ratio.
Sport-style motorcycles often have a power-to-weight ratio that is above average. Fuel refers to opening the fuel supply valve, if available. Set the choke and squeeze the clutch lever together is referred known as "choke and clutch." Even though some motorcycles lack a choke, the choke should be ON for a cold engine.What is scrambler motorcycle?
Scrambler motorbikes, also referred to as dirt bikes, have special features designed for off-road activities and sports. Off-road, to be clear, is any route that isn't paved or that follows a set pattern. Scrambler bicycles feature relatively straightforward designs, long suspensions, and high ground clearance.Learn more about Scrambler motorbikes
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A car heading north collides at an intersection with a truck of the same mass as the car heading east. If they lock together and travel at 28 m/s at 46° north of east just after the collision, how fast was the car initially traveling? assume that any other unbalanced forces are negligible.
Answers
Answer: A car heading north collides at an intersection with a truck of the same mass as the car heading east. If they lock together and travel at 28 m/s at 46° north of east just after the collision, then the car initially traveling with a velocity of 40.28m/s.
Explanation: To find the answer, we need to know more about the Perfectly inelastic collision.
What is perfectly inelastic collision?Collision is an interaction between two bodies due to which the individual momenta of the colliding bodies are changed, but the total momentum remains constant.If the colliding bodies stick together after collision, then it is called perfectly inelastic collision.here, the coefficient of restitution will be equal to 0.For, inelastic collision, the momentum is conserved, but the energy is not conserved.How to solve the problem?let's write the conservation equation of momentum as,[tex]m_1v_1+0=(m_1+m_2)v_2\\[/tex]
We have to find the value of initial velocity v1,[tex]mv_1=(m+m)28 sin46\\v_1=2*28*0.719=40.28 m/s[/tex]
Thus, we can conclude that, the initial velocity of the car will be 40.28m/s.
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Based on all we know about the terrestrial worlds, what single factor appears to play the most important role in a terrestrial planet's geological destiny?
Answers
Based on all we know about the terrestrial worlds, the single factor appears to play the most important role in a terrestrial planet's geological destiny is size size of terrestrial planet .
According to the question
Terrestrial Planets:
They belongs to a class of planets that are like the earth
Geological destiny :
Geology is biological destiny: Whatever minerals land or are deposited in a place determine what or who can make a living there millions of years later
Based on all we know about the terrestrial worlds, what single factor appears to play the most important role in a terrestrial planet's geological destiny
i.e
The size of terrestrial planet is one of the factors to play the most important role in a terrestrial planet's geological destiny
which determines how long the planet can retain internal heat, which drives geological activity because Smaller worlds cool off faster and harden earlier .
Hence, Based on all we know about the terrestrial worlds, the single factor appears to play the most important role in a terrestrial planet's geological destiny is size size of terrestrial planet .
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2. A ball is tossed straight upwards with a velocity of 60m/s. Using an estimate of gravity of -10m/s², about how many seconds would it take to reach the peak (top of the flight). A.) 10 seconds B.) 3 seconds C.) 6 seconds D.) 12 seconds
Answers
Answer: A
Explanation:
A person performs a bench press. The bar's mass is 40 kg. When this person's arms are extended, the bar is 0.6 m above the starting point. How much work did the person do to push the bar off his chest to full extension of his arms
Answers
The work done by the person is 235.2 J.
Work done by the person
The work done by the person is calculated as follows;
W = mgh
where;
m is mass of the barheight through which the bar is raisedW = 40 x 9.8 x 0.6
W = 235.2 J
Thus, the work done by the person is 235.2 J.
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The diagram shows a device that uses radio waves. Two radio towers. The towers are equal distance apart with an arrow between them. The left tower is labeled X. The right tower is labeled Y. The arrow is pointing from Tower X to Tower Y. What is the role of the part in the diagram labeled Y
Answers
capture, amplify, and demodulate waves
Question is incomplete and image is not attached in the question. The required image is attached below, so the complete question is:
What is the role of the part in the diagram labeled Y?
modulate, amplify, and send out waves
capture, amplify, and demodulate waves
change the amplitude and frequency of waves
change the pulse and phase of waves.
What are Radio wave?An example of electromagnetic radiation is radio waves. The wavelength of a radio wave is substantially greater than that of visible light. Radio waves are widely used by people for communication. Both rectangular and circular antennas are used by this radio tower to send and receive radio frequency energy.
The radio receiver, also known as component Y in the figure, is what captures, amplifies, and demodulates radio waves.
The radio receiver uses an antenna to separate the necessary radio frequency signals and consists of an amplifier to boost the strength of the receiving signal. The information from the modulated wave is ultimately recovered by demodulators found in receivers.
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The end point of a spring oscillates with a period of 2.0 s when a block with mass m is attached to it. When this mass is increased by 2.0 kg, the period is found to be 3.0 s. Find m.
Answers
Answer: The end point of a spring oscillates with a period of 2.0 s when a block with mass m is attached to it. When this mass is increased by 2.0 kg, the period is found to be 3.0 s. Then the mass m is 0.625kg.
Explanation: To find the answer, we need to know more about the simple harmonic motion.
What is simple harmonic motion?A particle is said to execute SHM, if it moves to and fro about the mean position under the action of restoring force.We have the equation of time period of a SHM as,[tex]T=2\pi \sqrt{\frac{m}{k} }[/tex]
Where, m is the mass of the body and k is the spring constant.How to solve the problem?Given that,[tex]T_1=2s\\m_1=m\\m_2=m+2kg\\T_2=3s[/tex]
We have to find the value of m,[tex]T_1=2\pi \sqrt{\frac{m}{k} } \\T_2=2\pi \sqrt{\frac{m+2}{k} } \\\frac{T_1}{T_2} =\sqrt{\frac{m}{m+2} }\\\frac{2}{3} =\sqrt{\frac{m}{m+2} }\\\\[/tex]
[tex]m=\frac{5}{8} =0.625kg[/tex]
Thus, we can conclude that, the mass m will be 0.625kg.
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The mass of the earth is 6x10^24 kg and that of the moon is 7.4x10^22 kg. If the radius of the moon is 1740 km, then find the value of g if the earth is compressed into the size of moon.
Answers
Answer:
In the surface of the moon, gravitational acceleration is 1.63 m/s*2.
Explanation:
An object of mass M will accelerate gravitationally at a distance R if it is at the following distance:
g = G*M/R^2
Where the gravitational constant is G.
G = 6.67*10^(-11) m^3/(kg*s^2)
At the surface of a moon, the distance between its surface and its center will be equal to its radius, since a moon's mass is concentrated at its center, thus:
R = 1740 km
It's important to remember that we need meters in order to work:
1 km = 1000 m
so:
1740 km = (1740)*1000 m = 1740000 m
R = 1740000 m
Basically, the mass consists of:
M = 7.4x10^22 kg
Incorporating all that into the gravitational acceleration equation, we get:
g = (6.67*10^(-11) m^3 / (kg*s^2))*(7.4x10^22 kg) / ( 1740000 m)^2
g = 1.63 m / s^2
In the surface of the moon, gravitational acceleration is 1.63 m / s*2.
A large box is being pushed across the floor at a constant speed of 4.0 m/s. What can you conclude about the forces acting on the box?
Answers
There is no force acting on the large box.
What is the force according to Newton's law?According to Newton's second law of motion, Force is defined as the rate of change of momentum with respect to time.Mathematically, force = mass × accelerationAnd acceleration = velocity/ timeHere, the large box is moving with constant velocity. So its velocity is not changing with time.So velocity / time = zero i.e. acceleration= zeroIt leads to the force to be zero.Thus, we can conclude that the force on the large box is zero.
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Hydrostatic equilibrium in the Sun means that Choose one: A. energy produced in the core per unit time equals energy emitted at the surface per unit time. B. pressure balances the weight of overlying layers. C. the Sun absorbs and emits equal amounts of energy. D. the Sun does not change over time.
Answers
Answer: Hydrostatic equilibrium in the Sun means that pressure balances the weight of overlying layers.
Explanation: To find the answer, we have to know more about the Hydrostatic equilibrium in sun.
What is Hydrostatic equilibrium in sun?Hydrostatic equilibrium in sun means that, the sun is neither expanding not contracting.We can say that the forces that control the sun are precisely balanced.The structure of the sun is in such a way that it can balance the pressure outward and the force of gravity inward.This balance is known as hydrostatic equilibrium.Thus, we can conclude that, the Hydrostatic equilibrium in the Sun means that pressure balances the weight of overlying layers.
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