The frequency of the sound heard is the resonant frequency of the tube, which is determined by the length of the tube. The resonant frequency occurs when the length of the tube is equal to an integer multiple of one-fourth of the wavelength of the sound.
what is length ?
Length is a measurement of distance, typically used to describe the size of an object or the distance between two points. It is typically measured in meters, centimeters, millimeters, kilometers, feet, inches, and miles. In mathematical terms, length is a scalar quantity that represents the magnitude of a line segment.
Length can also be used to describe the amount of time that has passed, such as in the phrase "the length of a year." Length is an important concept in many areas of science, engineering, and mathematics, as it is used in determining the size and shape of objects, distances between points, and the rate at which things move.
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the human ear canal is about 2.8 cm long. if it is regarded as a tube that is open at one end and closed at the eardrum, what is the fundamental frequency around which we would expect hearing to be most sensitive? take the speed of sound to be 340 m/s.
So a tube that is open on one end will resonant at a wavelength that is one-fourth of its fundamental frequency. By multiplying 4 by 0.028 m, yielding 0.112 m, we get the wavelength.
Which frequencies are basic and harmonic?Fundamentals are the lowest frequency sound waves produced by an instrument. Harmonics are secondary waves that an instrument produces at various frequencies.
How is the fundamental frequency calculated?Hertz (Hz) and cycles per second are two possible units of measurement (cps). While during discussion, the average fundamental frequency for males is between 100 and 150 Hz and between 180 and 250 Hz for females.
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two objects attract each other with a gravitational force of magnitude 9.90 10-9 n when separated by 19.5 cm. if the total mass of the objects is 5.05 kg, what is the mass of each?
The total mass of the objects is 5.05 kg, m₁= 3.35 Kg, m₂= 1.67 Kg is the mass of each.
What is mass ?
Determining inertia, a non-changeable feature of all objects. The main characteristic of a body of matter is the resistance it offers to a force-induced change in its speed or location.
What is magnitude ?
In simple terms, magnitude is "distance or quantity." It shows the size or motion of an object, either in terms of absolute size or relative motion. It is a method for describing a phenomenon's size or range. In physics, the term magnitude is frequently used to describe a length or size.
The concept required to solve this problem is the expression for gravitational force.
Initially, obtain the quadratic expression for the mass of the object by using the expression for gravitational force.
Finally, calculate the mass of the each object using the expression for the mass of the object.
The gravitational force is given by, F= G m₁m₂/ r²
Here, G is the universal gravitational constant,
r is the distance between the two objects and
m₁m₂ are the masses of the two objects.
The expression for the mass of the object is given as follows:
(5.02 kg - m₁) for m₂ in the equation F= G m₁m₂/ r²
G = m₁ (5.02 kg - m₁) / r²
Fr² / G = m₁ (5.02 kg - m₁)
m²₁= - (5.02 kg - m₁) + Fr² / G = 0
The sum of the two masses is given by,
m₁+m₂= 5.02 kg
m₂= 5.02 kg-m₁
Calculate the mass of the each object as follows:
Consider force as 9.80 * 10 ⁻⁹ N
m₁= 3.35 Kg
m₂= 1.67 Kg
Therefore, the total mass of the objects is 5.05 kg, m₁= 3.35 Kg, m₂= 1.67 Kg is the mass of each.
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the idea that two or more forces combined create an effect that is greater than the sum of their individual effects is called syncretism. the idea that two or more forces combined create an effect that is greater than the sum of their individual effects is called syncretism. false true
The following statement is false. According to the theory of synergy, when two or more elements interact, the overall effect is greater than the sum of a individual effects.
Explain force.The push and pull on a massed item alters its velocity, which is the definition of force. An agent the with power to alter a body's rest or mobile condition is known as an external force. It has a magnitude and direction.
What is the force unit in the SI?The SI unit of force is the newton, denoted by the letter N. The following basic units are relevant to force: The symbol for a metre is m, while for a kilogram, that represents mass, it is kg. The second, or s, is a unit.
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a merry-go-round spinning at 0.8 rad/s has a radius of 3 m. its rotational inertia is 600 kg m2. a 20 kg boy starts at the center and moves to the edge of the merry-go-round. determine the angular velocity of the merry-go-round when the boy reaches the edge.
When the boy approaches the edge of the merry-go-round, its angular velocity is 0.6 rad/s.
What is angular velocity?Rotational velocity, sometimes referred to as ω vector, is a pseudovector that depicts how quickly an object's rotation angle or orientation varies over time.
According to question-
When child was at centre, her moment of inertia was 0
So, net moment of inertia at this instant ,I1= 600 Kgm^2
w1 = 0.8 rad/s
When child moves to rim, his inertia, I= m*r^2 = 20*3^2 = 180 Kg.m^2 gets added
net moment of inertia at this instant ,I2= 600 + 180 = 780 Kgm^2
w2= ?
Use conservation of angular momentum,
I1*w1 = I2*w2
600*0.8 = 780 * w2
w2=0.6 rad/s
Answer: 0.6 rad/s
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an automobile tire is inflated to a gauge pressure of 38.50 psi. the total area of one sidewall of the tire is 606.47 square inches. what is the outward force (in pounds) on the sidewall due to air pressure?
The outward force on the sidewall of the tire due to the air pressure of 38.50 psi is 23,523.74 pounds.
What is pressure?Pressure is the amount of force applied over a given area. It is typically measured in units of Pascals (Pa) or pounds per square inch (psi). Pressure can be caused by a variety of factors, including the weight of the atmosphere, the weight of liquids, and the weight of objects. Pressure is important in many physical phenomena, including the flow of liquids, the transfer of energy, and the propagation of sound. In general, when pressure increases, the volume of the material decreases.
The outward force on the sidewall due to the air pressure of 38.50 psi is calculated by multiplying the gauge pressure by the total area of the sidewall. The formula for this calculation is F = P x A, where F is the outward force (in pounds) on the sidewall, P is the gauge pressure (in psi) and A is the total area of the sidewall (in square inches).
Therefore, the outward force on the sidewall of the tire due to the air pressure of 38.50 psi is 23,523.74 pounds. This value can be found by multiplying 38.50 by 606.47, the total area of the sidewall.
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The outward force (in pounds) on the sidewall due to air pressure is 1,945.18 pounds.
What do you mean by force?In physics, force is a push or pull exerted on an object to change its motion. It is a vector quantity, meaning it has both magnitude and direction. The standard unit of force in the International System of Units (SI) is the newton (N).
Forces can be classified into two types: contact forces and non-contact forces. Contact forces, such as friction and tension, require physical contact between the two objects. Non-contact forces, such as gravity and magnetism, can act on an object without physical contact.
Forces can also be categorized as balanced or unbalanced. Balanced forces are those that cancel each other out, resulting in no net force acting on an object. Unbalanced forces, on the other hand, produce a net force that causes an object to accelerate.
The outward force on the sidewall of the tire due to air pressure can be calculated using the formula:
F = P × A
where F is the force, P is the pressure and A is the area.
In this case, the gauge pressure is 38.50 psi, the area of one sidewall of the tire is 606.47 square inches. So,
F = P × A = 38.50 psi × 606.47 in² = 23,342.20 in-lbs
To convert in-lbs to pounds, we divide by 12
F = [tex]\frac{23,342.20 in-lbs }{12}[/tex] = 1,945.18 pounds
So the outward force on the sidewall of the tire due to air pressure is approximately 1,945.18 pounds.
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Materials: Calculator
1. In the table below, you are given the height from which various objects fell and the time it took for those objects to fall on
Earth, the moon, and Mars. Use the data to calculate the acceleration due to gravitational force at each location.
Distance (m)
Time (s)
Acceleration due to gravity (m/s²)
Average g value for the location (m/s²)
Earth
2.25
0.680
3.08
0.793
Moon
Mars
4.04
4.57
4.68 3.55
2.20 2.26 1.58
1.38
2. What to submit:
a. Your completed table with calculations for acceleration due to gravitational force and the average value.
b. All work shown for your calculations.
Answer:n
Explanation:
A 10,000 kg railroad car is rolling 2.00 m/s when a 4000 kg load of gravel is suddenly dropped in. What is the car's speed just after the gravel is loaded?
The speed of the railroad car just after the gravel is loaded into the railroad car is 1.42m/s.
According to the law of conservation of momentum, the momentum should remain always constant in such condition where there is no external force.
So,
Initial momentum = final momentum
MV = mv
M is the mass of the railroad rolling,
V is the initial rolling speed.
m is the mass after the 4000 kg gravel is suddenly dropped,
v is the speed just after the loading.
Putting values,
10000 x 2 = 14000 x v
v = 1.42m/s.
So, the speed of the railroad car will be 1.42m/s.
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salt water has a greater density than fresh water. given this, there are objects that will
Fresh water is less dense than salt water. An object might sink in fresh water but float in salt water if it were fully submerged because salt water is heavier than fresh water and would be displaced by the object.
Does Salt Water Make Things Float Better Than Fresh Water?When salt is dissolved in water, as it is in ocean water, the added mass of the dissolved salt increases the density of the water relative to that of the water without salt.
Objects float more effectively on salt water than fresh water because they do so on a thick surface. Things float on top of salt water more readily the denser it is.
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a stretched string has a wave speed v. if the tension on the string is halved and the string is replaced by another with twice the linear density, by what factor will the speed of a wave on the string change?
If the strain on the rope is half and a new string with twice the density is used, be using the velocities equation to calculate the speed: v=FT=56.40N3.0910 4kg/m=427.23m/s.
Will the factor 2=1055.00N affect the wave's speed on the string?A stretched string's wave velocity is v. The linear density, or the square root of tension divided by mass per length determines the speed of a waveform on a string. The wave speed of a stretched string is v.
FT=v2=5.78103kg/m(427.23m/s).
What changes to the velocity of the wave on the thread if the strain is doubled?Considering that the square of the wave's speed on a taut string The frequency of the wave would rise by 2, or the square root of the strain divided by linear density.
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Consider an L-C circuit with capacitance C, inductance L, and no voltage source, as shown in the figure (Figure 1). As a function of time, the charge on the capacitor is Q (t) and the current through the inductor is I (t). Assume that the circuit has no resistance and that at one time the capacitor was charged. Part A As a function of time, what is the energy UL (t) stored in the inductor? Express your answer in terms of L and I (t). UL (t) = ... ?Part B As a function of time, what is the energy Uc (t) stored within the capacitor? Express your answer in terms of C and Q (t). Uc (t) = ...?
The following the expressed as functions
A) Energy of UL (t) = 0.5 LI(t)2
B) Energy of UC(t) = 0.5 Q(t)2/C
What is Energy?Energy can be defined as the capacity to perform work in most contexts. Therefore, everything that is capable of doing work possesses energy. Work is also referred to as causing or making change when referring to energy. Each time we perform a task, energy is either transformed or transferred. As a result, the amount of energy in the universe will never change because it takes on different forms with each use.
In other words, life is impossible without energy. Try to come up with an idea that doesn't require any energy. You're not going to have an answer, I'm afraid. A baby sleeping, a ball bouncing, even a beating heart all have energy. The same goes for a hot beverage in a cup.
To solve this, we must first understand how current behaves in an L-C circuit.
If there is an initial current owing, it will begin charging the capacitor.
The inductor will keep this current flowing until the charge accumulates enough to oppose the current, at which point the current will stop and the capacitor will be charged.
The capacitor will then force the current in the opposite direction, while the inductor will try to keep the current constant.
Finally, the current will flow sinusoidally through the circuit, charging the opposite plates of the capacitor.
The mathematical derivation is in the book, and the current value is
I(t) =I0cos (ωt)
Without an external voltage source, the frequency will be the resonance frequency of the capacitor and the inductor, ω = [tex]1\sqrt{LC}[/tex]. This tells us UL(t), but we need the charge on the capacitor. Either integrate the current(because it is the derivative of Q(t) or use the phasor diagram.
The current phasor is to the right. The voltage across the capacitor is Vc = XCI0 = I0/ωC and the direction is down. The charge on the capacitor is
Q(t) =CV[tex]_C[/tex](t) = C [tex]\frac{I0}{\omega C}[/tex] cos(ωt−π/2) = [tex]\frac{I0}{\omega }[/tex]sin (ωt)
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at what position on the x -axis could you place a small mass such that the net gravitational force on it due to the spheres is zero?
Place the little mass at either x = 68.28 mm or x = 11.72 cm. Detailed explanation: We'll call the little mass m and its location on the x-axis y. The starting point is a 20 kilogram sphere.
What does the word "sphere" mean?
In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is denoted by the letter r, and the specified point represents its center.
A spherical item is what?
Any spherical object having all points on its surface equally spaced from its center, whether it be a hollow sphere or a round solid. Furthermore, a spherical object lacks any faces. Additionally to
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7. A drum corps can be heard practicing at a distance of 1. 6 km (about 1 mile) from the field. What is the
time delay between the drumstick hitting the drum and the sound heard by an individual 1. 6 km away?
(Assume the speed of sound in air to be 340 m/s. )
1 km - 1000m convert km to meters then find out the time
The calculation shows that there is a 0.2125 second lag between the sound of the drumstick striking the drum and indeed the audio heard by someone 1.6 kilometres distant.
What is the distance known as?Distance is the length of an object's real route in its entirety. The displacement of an item between two points is defined as the straight path (shortest) travel between all those two places when directed by one position to another. The metre is the SI unit for measuring distance and displacement (m).
Distance = 1.6 km = 1600 m
Speed of sound in air = 340 m/s
As we know, the expression for distance as,
Distance = Speed / Time
To find out the time delay, let us make time as subject.
Time = Speed / Distance = 340/ 1600 = 0.2125 sec
As a result, there is a 0.2125-second delay between the sound of the drumstick striking the wheel and indeed the music heard by someone 1.6 kilometres away.
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chris is living aboard the iss and wants to heat up some chicken parmesan to a safe temperature for consumption. what device is generally included on spacecrafts to allow this type of activity to occur?
The device used to heat up food to a safe temperature for consumption in spacecrafts and ISS is called a thermal oven.
Thermal ovens are typically used to heat food on spacecrafts like the International Space Station (ISS). These ovens use a heating element to raise the temperature of the food to a safe level for consumption. The ovens on the ISS are specifically designed to work in the microgravity environment, which means they have to be able to function in the absence of gravity.
They often use convection heating to circulate hot air around the food, which helps to ensure that the food is heated evenly. Additionally, the ISS also has a refrigerator and a freezer to store food. The refrigerator keeps the food at a temperature of around 4 °C and the freezer at around -20°C, this is to help preserve the food for longer periods.
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a uniform density block floats in water with 15% of its volume above the water surface. what is the density of the block?
The density of block equates to the density of water = 1000 kg/m³ (at 4°C).
What is buoyancy?The buoyant force is an upward directed force that acts on any object when it is submerged either partially or completely inside a static fluid. A body is able to float on the surface of fluid because of the buoyant force acting on the object, which tends to balance the weight of the object. The density of the block can be found using the equation of buoyancy: density of block = density of water × (volume submerged / volume of block). Since 15% of the block's volume is above the water surface, 85% of the block's volume is submerged. Therefore, the density of the block is equal to the density of water.
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Answer: 850 kg/m^3
Explanation: The density of water is known as 1000 kg/m^3. In the problem, we know that the block floats and 15% of the block's volume is above water. From this, we can deduce that 85% of the block's volume is below the water, so the density of the block is 85% of the density of water:
p(water) = 1000
p(block) = 1000(.85) = 850 kg/m^3
to get off a frozen,frictionless lake, a 67.0 kg person takes off a 0.150 kg shoe and throws it horizontally, directly away from the shore with a speed of 2.50 m/s. if the person is 5.00 m from the shore, how long does it take for him to reach the shore?
Momentum is zero since the person as well as the shoes are both at rest the shoe is thrown. The individual with mass m=70 kg recoils speed v after being hurled at vs=2m/s with ms=0.15 kg.
The definition of recoil speedA force is applied to the gun in a backward direction when a bullet is fired from it. The gun develops a velocity inside the reverse direction as a result of this force. The term "recoil velocity" refers to this speed.
How is recoil speed calculated?The formula for calculating the terminal velocity of gun is: starting speed of the gun = mass of the weapon + initial speed of a bullet + mass of the projectile.
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The operation of the fluoroscopic x-ray tube by rapid on and off switching of the x-ray tube to deliver an x-ray beam describes: pulse-progressive T/F
The operation of the fluoroscopic x-ray tube by rapid on and off switching of the x-ray tube to deliver an x-ray beam describes pulse-progressive is False.
Pulse-progressive describes a technique used in computed tomography (CT) scanners, in which the x-ray tube rotates around the patient while emitting a series of pulses of x-rays that are detected by an array of detectors. This allows the creation of detailed cross-sectional images of the body.
Fluoroscopy, on the other hand, is a technique in which a continuous low-dose x-ray beam is passed through a patient, and the resulting x-ray image is projected onto a screen. Fluoroscopic x-ray tubes are operated by a steady flow of x-ray, and the image is created by a continuous flow of X-rays, not rapid on-and-off switching.
In summary, pulse-progressive is not related to fluoroscopic x-ray tube operation and the statement is False.
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explain in your own words why people get confused by formulas: such as those for kinetic energy and for capital.
There are several reasons why the average person is perplexed by the formula. First and foremost, the majority of the population indicates a scientific basis that can be determined using any formula. In fact, there are several causes for this confusion.
What is a formula?A formula is a mathematically represented fact or rule. With an equal sign, it usually connects two or more quantities. When you know the value of one quantity, you can use the formula to calculate the value of the other. It aids in quickly answering questions. Formulas are used in algebra, geometry, and other subjects to simplify the process of reaching an answer and saving time.
Geometry is a branch of mathematics concerned with object shapes, sizes, space occupied, and relative position. In geometry, formulas are used to calculate the dimensions, perimeter, area, surface area, volume, and other properties of various shapes.
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The efficiency of a gasoline engine is 0.25 if a car is able to generate 7 j of work per cycle, how much energy is added to the system as heat?
The energy is added to the system as heat is 28 J/s. if the efficiency of a gasoline engine is 0.25 if a car is able to generate 7 j of work per cycle.
What is a energy in science?The description of energy as even the "power to do work" refers to the capacity to exert a motion that induces an object to move. Even if energy is only the driving force behind things, its meaning is clear despite the definition's ambiguity.
According to the question the total heat input per second from the gasoline
Heat input/s = Work/s / Efficiency
= 7 J/s / 0.25
= 28 J/s
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a steel ball and a piece of clay have equal mass. they are dropped from the same height on a horizontal steel platform. the ball bounces back with nearly the same speed with which it hit. the clay sticks to the platform. which object experiences the greater momentum change?
The result of acceleration of an object is momentum. The steel ball's change in momentum is greater compared to that of the ceramic ball.
What exactly is momentum in daily life?Almost all motion-related activities have momentum. It is a fundamental idea in physics. The term "momentum" is frequently used in sports. Like, if a group has momentum, it is moving and will require some work to stop.
In a single statement, what is momentum?We measure mass in motion by its momentum. Any thing in motion has momentum. Physics dictates that an object's momentum is equal to its mass times its velocity. Both the mass and the velocity of the parameters have an impact on momentum.
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by using information about the temperature and salintity of ocean water, oceanographers can determine the
By using information about temperature & salinity of ocean water, oceanographers can determine the Density.
What is salinity?"Salinity" is a term used to describe water that has a lot of dissolved salt in it. It is commonly expressed in g/L or g/kg (grammes of salt per litre or kilogramme of water; the latter unit has no dimensions and equals ).
Along with temperature and pressure, salinity is a thermodynamic state variable that controls the physical properties of water, such as its density and heat capacity.
Salinity also has a significant impact on the chemistry of natural waters and the biological processes that occur there. A contour line with a constant salinity is referred to as isohaline, or isohale on occasion.
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a long chraged wire gives rise to an electric field of 20 n/c at a distance d. in terms of d, what distance is needed for an electric field of 5 n/c
The electrical force per unit of charge is referred to as an electric field. It is stated as follows: E = F / Q. E represents the strength of the electric field. The charge "Q" is subject to force "F.". The charge is Q. Differences in the
Describe variation.
Variation definition 1 a: the procedure or act of changing the fact or state of being different B: An illustration of variation c: the degree or range to which something varies
How are differences categorized?
As length varies in human populations, variations are either continuous or numeric (smoothly graded between two extreme values, with the majority of people at the center), or discontinuous or subjective (composed of well-defined categories, as blood groups vary in human populations).
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the 500-gram mass carries a charge of -7x10-8 c. if the coefficient of friction between the mass and the surface is 0.2, and an electric field is horizontal and directed to the right, which is being treated as the positive x-direction. what is the acceleration of the mass?
Because your weight has an impact on how much friction you create with the ground, you have less friction. Therefore, time moves 7x10–8% more quickly in an empty environment.
Why does physics use acceleration?Any procedure where the velocity varies is referred to as acceleration. You have only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a velocity and a direction.
What does physics' law of acceleration mean?An acceleration of an item caused by such a force applied is proportional to the inverse of the object and directly contributes to the strength of the force acting in the same direction. Equation form of this assertion is given as a = F.
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A voltmeter around a resitor in a ciruit reads 4V and the resistor has a resistance of 6 Ω. What is th current in this circuit in amperes?
The current in this circuit in amperes is 0.67 Amperes.
What is the current in this circuit in amperes?The current in this circuit in amperes is calculated by applying Ohm's law as shown below;
Mathematically, the formula for ohm's law is given as;
V = IR
where;
I is the current in the circuitR is the resistance of the circuitI = ( V ) / ( R )
The current in this circuit in amperes is calculated as;
I = ( 4 V ) / ( 6 Ω )
I = 0.67 A
Thus, the current is a function of voltage and resistance of the circuit.
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The planet Mercury's surface temperature varies from 700 K during the day to 90 K at night.What is the temperature in ?C during the day?What is the temperature in ?C at night?What is the temperature in ?F during the day?What is the temperature in ?F at night?
Mercury's surface temperature ranges from 90 K at night to 700 K in the daytime. Temperatures during the day and night range from 427 C to -183 C. Daytime highs are 801 °F and overnight lows are -297 °F.
What true color is Mercury?The solar system's planets all have distinctive features. Mercury is pearly white, Heaven is a vivid blue, and Saturn is a dark red, while Mercury is a charcoal gray.
Can one remain alive on Mercury?It wouldn't be simple to live on Mercury, but it might not be impossible. It is important to remember that because there is no environment in space, you would not last very long without the need of a space suit.
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a 0.40 kg object hangs at the end of a 0.50 m string. it is then rotated in a vertical circle. the angular speed of the object is 8 rad/s as it passes the bottom of the circular path. find is the tension in the string at this point.
If the object hangs at the end of a 0.50 m string and is rotated in vertical circle, the string will experience 16.7 N of tension.
In physics, what does tension mean?Tension is the force that is sent through a rope, thread, or wires as two opposing forces pull on it. The tension force pulls energies evenly just on bodies at the ends and is applied along the entire length of the wire.
Is tension the same as force?A force known as tension is connected to the tugging of an object like a cable, cable, or chain. It resembles elastic potential energy a lot. When a thing is extended out and placed under tension, as soon as that force is removed, this will automatically return towards its relaxed length.
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What variable is inversely proportional to electrostatic force?
*k
*q1
*r
*mass
According to the question, The electrostatic force is inversely related to the square of the separation distance.
Electrostatic force, where is it?Between two charges that are separated by a distance, there is an electrostatic force. The size of each charging and the separation between them determine the strength of the electrostatic force. Two charges that are either positive or negative when placed together repel one another.
Why do electrostatic forces exist?Positively and negatively charges are known to interact with one another. The magnitude of the electrostatic force, however, serves as a gauge for the strength of all this interaction. The magnitude of the static electricity and the spacing between them both contribute to this force.
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1 if the water vapor capacity of the atmosphere in a given location is 25 grams per kilogram of air sampled, and the actual amount of water vapor present is 5 grams per kilogram of air sampled, what is the relative humidity?
The relative humidity is 20%, meaning that the air is holding 20% of the water vapor it could hold at that temperature.
What is relative humidity?Relative humidity is a ratio that compares the amount of water vapor present in the air to the amount of water vapor that the air can hold at a given temperature. Typically, a percentage is used to express it.
To calculate relative humidity, we can use the following formula:
Relative humidity = (actual water vapor / water vapor capacity) x 100
Given that the water vapor capacity of the atmosphere in a given location is 25 grams per kilogram of air sampled, and the actual amount of water vapor present is 5 grams per kilogram of air sampled, the relative humidity is:
Relative humidity = (5 / 25) x 100 = 20%
So, the relative humidity is 20%, meaning that the air is holding 20% of the water vapor it could hold at that temperature.
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Two resistors of resistances R1 and R2, with R2>R1, are connected to a voltage source with voltage V0. When the resistors are connected in series, the current is Is. When the resistors are connected in parallel, the current Ip from the source is equal to 10Is.
Let r be the ratio R1/R2R1/R2. Find r.
When two resistors of resistances R1 and R2, with R2>R1, are connected to a voltage source with voltage V0, the ratio r = R1/R2 is 0.127
Given the resistance of first resistor = R1
The resistance of second resistor = R2
The voltage of source = V0
The resistors are connected in series then current through it = Is.
We know that from Ohm's law V = IR where I is current.
If resistors are connected in series then Req = R1 + R2
Then V0 = Is(Req) = Is(R1+R2)
When resistors are connected in parallel current through it = Ip.
Similarly equivalent resistance of resistors connected in parallel = Req'
1/Req' = 1/R1 + 1/R2
Then 1/Req' = R1 + R2/R1R2
Req' = R1R2/R1 + R2
Therefore V0 = Ip(R1R2/R1 + R2)
From the above equations we see that as voltages remain same,
Is(R1+R2) = Ip(R1R2/R1 + R2)
Given the current Ip = 10Is. Then
Is(R1+R2) = 10Is(R1R2/R1 + R2)
(R1+R2)^2 = 10R1R2
R1^2 + R2^2 = 8R1R2
Divide LHS and RHS by R2^2 such that
8R1/R2 = (R1/R2)^2 + 1 given r = R1/R2 by substitution we get
8r = r^2+1. So, r = 0.127 (R2>R1)
Hence the required ratio of R1/R2 = 0.127
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g is the temperature of a metal rod measured in at a distance x inch from one end of the rod, then the units of measure of the derivative are
The units of measure of the derivative of g with respect to x (dg/dx) would be units of temperature per inch (e.g. °F/inch or °C/inch).
The derivative of a function is a measure of how the function is changing with respect to its independent variable. In this case, g represents the temperature of a metal rod, and x is the distance from one end of the rod.
Therefore, the derivative of g with respect to x (dg/dx) gives us the rate at which the temperature is changing with respect to distance.
The units of measure for the derivative will be the units of the dependent variable (temperature) divided by the units of the independent variable (distance).
For example, if g is measured in degrees Celsius and x is measured in inches, then the derivative dg/dx would have units of degree Celsius per inch (°C/inch).
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Auming the ma of the moon i 7. 4X10^22kg and it' radiu 1. 7X10^6m, what i the gravitational energy of 1kg ma at the moon' urface. Auming R= 6. 4X10^6
The acceleration due to gravity on the surface of the moon is 1.620 ms
2 . if Auming the ma of the moon i 7. 4X10^22kg and it' radiu 1. 7X10^6m
Why gravity is a force?However, in the broader sense, gravity is indeed a force because it describes the resulting interaction between two masses. Gravitational effects are fundamentally caused by the warping of spacetime and the motion of objects through the warped spacetime.
Who found gravity in India?Rajasthan Education Minister Vasudev Devnani has said that Brahmagupta-II discovered the law of gravity before Isaac Newton. Speaking at a programme at Rajasthan University here on Monday, he asserted that Brahmagupta-II came up with the gravitation law a thousand years ago.
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