From the information provided, the velocity of sound in iron is approximately 5120 m/s.
Velocity is a vector quantity that describes the rate of change of an object's position with respect to time. It is defined as the displacement of an object divided by the time interval over which the displacement occurred, and it has both magnitude and direction.
We can use the formula for the velocity of a sound wave:
v = fλ
where v is the velocity of the sound wave, f is the frequency of the wave, and λ is the wavelength of the wave.
Substituting the given values, we get:
v = (2 kHz)(2.56 m) = 5120 m/s
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A 523 N force is applied to an object, causing it to accelerate 12 m/s2. The mass of the object is ____.
Answer:
43.58kg
Explanation:
The equation F=ma will help here.
F=ma
523N=m(12m/s^2)
43.58kg=m
What are the two factors that determine gravitational attraction?
The two factors that determine gravitational attraction force are- 1- Mass 2- distance. Gravity is an attractive force, one that attracts all of the matter in the Universe towards all of the other bits of matter in the Universe.
What is the factors that determine gravitational attraction?On the size scale of moons, planets, stars, and galaxies, it is an extremely important force, and governs much of the behavior of these objects.
Gravity keeps our feet firmly on the ground, keeps the Moon in orbit around the Earth, keeps the Earth in orbit around the Sun, keeps the Sun in orbit around the center of our Milky Way galaxy.
When dealing with the force of gravity between two objects, there are only two things that are important – mass, and distance. The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them.
This can be determined by Sir Isaac Newton’s universal law of gravitation (F=Gmm/r2). According to which the gravitational attraction is directly dependent on the mass, while it is inversely dependent on the distance.
Therefore, This means that the force of gravity increases with mass, but decreases with increasing distance between objects.
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what is the magnitude of a point charge that would create an electric field of 1.20 n/c at points 1.60 m away?
The magnitude of a point charge that would create an electric field of 1.20 n/c at points 1.60 m away is 0.341 * [tex]10^{-9}[/tex] C.
Each location in space where a charge exists in any form can be considered to have an electric field attached to it. The electric force per unit charge is another name for an electric field. Variable magnetic fields or electric charges are frequently the cause of electric fields. Volts per metre (V/m), a unit used in the SI, is used to express electric field strength. The force acting on the positive charge is assumed to be exerted in the direction of the pitch. The electric field is directed radially inwards towards negative point charge and radially outwards from positive charge.
Electric field = 1.20 n/c
r= 1.60 m
[tex]E=\frac{q}{4\pi E_{o}*r^{2} } \\q=4\pi E_{o}*E*r^{2} \\=\frac{(1.20 n/c)((1.60m)^{2} }{8.99*10^{9}N.\frac{m^{2} }{C^{2} } } \\=0.341*10^{-9} C[/tex]
Therefore, the magnitude of a point charge that would create an electric field of 1.20 n/c at points 1.60 m away is 0.341 * [tex]10^{-9}[/tex] C.
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what is the moment of inertia of a 1.5-kg-rod that rotates about its center? the length of the rod is 1.8 m.
The moment of inertia of the 1.5-kg rod rotating about its center is 0.6075 kg*m².
The moment of inertia of a rod rotating about its center can be calculated using the formula:
I = (1/12) * m * L^2
where I is the moment of inertia, m is the mass of the rod, and L is the length of the rod.
In this case, the mass of the rod is 1.5 kg, and the length of the rod is 1.8 m. Plugging these values into the formula, we get:
I = (1/12) * 1.5 kg * (1.8 m)^2
= 0.6075 kg*m^2
Therefore, the moment of inertia of the 1.5-kg rod rotating about its center is 0.6075 kg*m^2.
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John is pushing a wheelbarrow with a sand on a buildingsite. The total mass of the wheelbarrow and it's contents is 30 kg . When he applies a force of 20N, the wheelbarrow moves forward at a constant speed. What is the magnitude of the friction between the wheels and the ground? Explain your answer.(20N)
Let the magnitude of friction force = f
acceleration ,a = 0 (because it moves with constant speed)
F=ma
20-f=30x0
f=20N
how much energy is lost to friction if the motorcycle only gains an altitude of 21 m before coming to rest?
Zero energy is lost to friction if the motorcycle only gains an altitude of 21 m before coming to rest.
To calculate the energy lost to friction,
we need to use the relationship between the potential energy gained by the motorcycle and the work done by friction to bring the motorcycle to a stop.
The potential energy gained by the motorcycle can be calculated using:PE = mgh
where m is the mass of the motorcycle, g is the acceleration due to gravity, and h is the height gained by the motorcycle.
Substituting the given values,
we have:
PE = (250 kg) x9.81 m/s^2x (21 m)
PE = 51,622.5 J
The work done by friction can be calculated using:
W = Fd
where F is the force of friction, and d is the distance travelled by the motorcycle before coming to a stop.
Since the force of friction is in the opposite direction to the direction of motion, the work done by friction is negative.
Substituting the given values, we have:W = -F x d
We don't know the force of friction, but we can use the work-energy principle to relate it to the potential energy gained by the motorcycle and the work done by friction.
The work-energy principle states that:W = ΔK + ΔU
where ΔK is the change in kinetic energy, and
ΔU is the change in potential energy.
Since the motorcycle comes to a stop, the change in kinetic energy is equal to the initial kinetic energy (since the final kinetic energy is zero).
Therefore:W = -ΔK + ΔU
Since the motorcycle starts from rest, the initial kinetic energy is zero,
So,
W = -Kf + ΔU
where Kf is the final kinetic energy (which is zero) and
ΔU is the potential energy gained by the motorcycle.
Substituting the given values, we have:W = -51,622.5 J + 51,622.5 JW = 0 J
Therefore, the work done by friction is zero, which means that all of the potential energy gained by the motorcycle was converted to other forms of energy (such as heat and sound). None of the energy was lost to friction.
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what is assumption we are trying to validate in part a of the calorimetry experiment? styrofoam cups are equivalent to a 150 ml beaker. styrofoam cups isolate the system and surroundings from the rest of the universe. styrofoam cups keep our coffee hot. styrofoam cups open the system and surroundings to the rest of the universe. styrofoam cups support heat flow from the system to the surroundings.
The assumption we are trying to validate in part a of the calorimetry experiment:
No heat is lost to the terrain- that is, energy exchange only happens between the object of interest and water. No heat is lost to the surroundings.In connection to Assumption 1, there's only a veritably negligible( if any) transfer of energy to the walls of the vessel( this is the energy transferred to the calorimeter itself, which is still part of the system. This supposition is necessary because measures are made to water-- see Assumption 1).The heat measured is also attributed to a complete response. Hence, it's always assumed that the response is 100 complete- i.e. 100 Yield, which noway happens in real life.For dilute results, the supposition is that the viscosity is always equal to that of water(1.00 g/ ml) with a specific heat capacity of4.18 joule per gram per degree Celcius.In connection to Assumption 3, it's also assumed that in whatever chemical response is being studied, no side response is occuring, and that no contamination is present in the system( which is of course a necessity, and the researcher should make sure that there's as little contamination as possible).Learn more about calorimetry experiment:
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Complete question:
What is/are the purpose(s) of the Styrofoam cups in this experiment? What are some assumptions that we make during this experiment in order to calculate the enthalpy of formation of ammonium sulfate? Calculate the mass of the solution used if a student added 35.369 grams of ammonium sulfate to enough water to give 80.0 mL of solution. The density of the solution was 1.00 g/mL. How many significant figures should your answer have? For the reaction (i.e., Part I of this experiment, calculate the number of moles of the limiting reactant when 25.0 mL of 2.085 M H_2SO_4 (aq) it mixed with 50.0 mL of 1.873 M NH_3(aq) using the molar ratio of the reaction. Show your work with the correct units and number of significant figures.
What kind of strip is Dr. Hewitt holding in his hand?
What happens when Dr. Hewitt heats up the strip?
Why does the strip behave as it does when Dr. Hewitt heats it up?
(a) a strip welded together from brass on one side and steel on the other Stripe made of two metals.
(b) It flexes.
(c) These metals expand in different ways.
A bimetallic strip is made up of two distinct metals that have been welded together. Different metals expand at various rates when heated. It bends as a result of heat expansion. Thermal expansion refers to the tendency of matter to alter form, area, and volume in reaction to temperature changes.
Because the water vapor flowing out of the nozzle has expanded and cooled, he may hold his palm a few inches above the nozzle.
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what were two important data points in the light curve of star kic 8462852 that confused astronomers between may 2009 and february 2013
Boyajian was looking at a starlight graph in the summer of 2013 and She noticed two dimming episodes from KIC 8462852 were two important data points in the light curve of star KIC 8462852.
The irregular drop and rise in brightness that does not follow a regular or expected pattern. This shift is caused by dust, which might be the result of a collision between two comets or the bursting of one. Another plausible, although less likely, reason is that the star is through unprecedented internal turmoil.
Boyajian was looking at a starlight graph in the summer of 2013 as part of a big data set acquired by the space-based Kepler telescope during its four-year mission to search for Earth-like planets near other stars. Dips in the quantity of light emitted by a star might signal the passage of a planet in front of it. The greater the size of the planet, the greater the light drop.
Boyajian's graph implied the existence of a planet larger than any scientist has ever seen — or something more crazier.She noticed two dimming episodes from KIC 8462852 during the 800th and 1,500th days of observation, when the star's luminosity reduced by 15% and 22%, respectively. A planet nearly 11 times the size of Jupiter of Earth, would result in a 1% drop — implying that whatever is circling KIC 8462852 is significantly larger than our solar system's greatest planet.
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A beam of light strikes a mirror at an angle of 45 degrees. What shape is formed by the beam of light?
A. Any motion into directions such as up and down
B. The letter v
C. A straight line
D. The letter U
PLEASE ANSWER ASAPPPP
A mirror receives a light beam at a 45 degree angle. The light beam takes the form of a straight line. As a result, choice (C) is accurate.
When a beam of light strikes a mirror at an angle, the reflected beam follows the law of reflection, which states that the angle of reflection is equal to the angle of incidence, and both angles are measured with respect to the normal (a line perpendicular to the surface of the mirror) at the point of incidence.
In this case, since the beam of light strikes the mirror at an angle of 45 degrees, the angle of reflection is also 45 degrees, as shown in the diagram below:-
/|
/ |
/ |
/ |
/________| <--- Mirror surface
| /
| /
| /
| /
As a result of the law of reflection, the reflected beam of light will form a symmetrical angle with the incident beam, as shown in the diagram below:-
/|
/ |
/ |
/ |
| /
| /
| /
|/
This reflected beam will continue to travel in a straight line away from the mirror, and will not change shape. Therefore, the correct answer is option C: "A straight line".
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when the first object reaches the bottom, what is the height above the ground of the other object? answer in units of m.
The remaining height of the second object is half the initial height of both objects, or h/2.
Let h be the initial height of both objects. When the first object reaches the bottom, it has lost all its potential energy, which is converted into kinetic energy. At this point, the second object still has some potential energy, which we can calculate as follows:
[tex]mgh = (1/2)mv^2[/tex]
where m is the mass of the object, g is the acceleration due to gravity, h is the remaining height, and v is the velocity of the object at the bottom.
Since the two objects have the same mass, we can cancel m from both sides of the equation:
[tex]gh = (1/2)v^2[/tex]
Now we can solve for h:
[tex]h = (1/2)(v^2/g)[/tex]
We know that v is the same for both objects and that it is given by:
[tex]v = \sqrt{(2gh)[/tex]
Substituting this expression for v in the equation for h, we get:
[tex]h = (1/2)(2gh/g) = h/2[/tex]
Therefore, the remaining height of the second object is half the initial height of both objects, or h/2.
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If a meteor with a 20 m in diameter impacts Earth on land, approximately how big will the crater be? a) 50 to 100 m in diameter. b) 200-400 m in diameter. c) 300-500 m in diameter.
A meteorite crater is a depression created when a spacecraft from another planet or solar system collides with Earth or another relatively big solid body, such as the Moon, another planet and its satellites, or larger asteroids and comets. Thus, option A is correct.
What is the meteor related to crater?A crater will most likely be created at the point of impact when a meteor impacts a planet. The size of the crater will increase as the object moves faster and becomes larger or heavier. The biggest predictors of impact crater size are the meteor's mass and velocity.
When a smaller solid object, such as an asteroid or meteorite, strikes the surface of a bigger solid object, such as a planet or moon, an impact crater is created.
Therefore, approximately big will the crater be 50 to 100 m in diameter.
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A moving ball is analogy for movement of light. Which of these moments of the ball is an analogy of reflection of light?
A) stopping
B)Bouncing
C) Speeding up
B) bouncing
Hope it helps
The moment of the bouncing ball is an analogy for the reflection of light. The correct option is B.
What are the reflection and refraction of light?Reflection and refraction are two important properties of light that describe how it interacts with surfaces and passes through materials.
Reflection occurs when light bounces off a surface, changing direction and continuing to travel in a new direction. The angle of incidence (the angle between the incoming light and the surface) is equal to the angle of reflection (the angle between the reflected light and the surface). Reflection is responsible for the formation of images in mirrors, and it is also used in many optical systems, such as telescopes and camera lenses.
Refraction occurs when light passes through a material and changes direction due to a change in speed. This change in direction is caused by the bending of light as it enters a medium with a different refractive index. The amount of refraction that occurs depends on the angle of incidence and the refractive indices of the two materials involved. Refraction is responsible for many optical phenomena, such as the bending of light in lenses, the formation of rainbows, and the distortion of objects viewed through water or glass.
Both reflection and refraction are fundamental concepts in optics and have important practical applications in a wide range of fields, including astronomy, photography, and telecommunications.
Therefore, The moment of the bouncing ball is an analogy for the reflection of light. When a ball bounces, it reflects off a surface and changes direction, just as light reflects off a surface and changes direction during reflection.
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What does the mitochondria do?
Hold water
turn energy into food
In addition to generating energy, mitochondria also carry out a variety of other tasks for the cell, such as cellular metabolism, the citric acid cycle, producing heat, regulating calcium concentration, etc.
Describe mitochondria.The majority of the chemical energy required to drive a cell's metabolic operations is produced by membrane-bound cell organelles called mitochondria (plural: mitochondrion). Adenosine triphosphate is a little molecule that stores the chemical energy generated by the mitochondria (ATP).
What carry out the mitochondria?In addition to their obvious role in oxidative phosphorylation, which generates cellular ATP, mitochondria also play critical roles in ion homeostasis, various metabolic pathways, apoptosis and programmed cell death, as well as the creation and consumption of ROS.
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A quantity of steam (250 g) at 128°C is condensed, and the resulting water is frozen into ice at 0°C. How much heat was removed?
the heat removed from the steam is 128000 J.
When steam is condensed into water, its temperature decreases from 128°C to 0°C. During this process, heat is removed from the steam and transferred to the surrounding environment. This heat transfer can be calculated using the equation:
q = m * c * ΔT
where q is the heat transferred, m is the mass of the steam, c is the specific heat capacity of water, and ΔT is the change in temperature.
For steam, the specific heat capacity is about 4.184 J/g°C. For water, the specific heat capacity is about 4.184 J/g°C as well.
Plugging in the values, we have:
q = 250 g * 4.184 J/g°C * (128°C - 0°C)
q = 250 * 4.184 * 128
q = 128000 J
the earth has a much larger mass than the moon. how many moons would it take to equal the mass of earth?
It would take approximately 81.3 Moons to equal the mass of the Earth.
What is the mass of the earth?Iron and oxygen make up the majority of the Earth's mass. Each of these makes up around 32% of the mass of the planet. Calcium, aluminum, and nickel make up roughly 1.5% of the total, followed by magnesium and silicon, which each contribute another 15%.
The mass of the Earth is approximately 5.97 x 10^24 kilograms, while the mass of the Moon is approximately 7.35 x 10^22 kilograms.
To determine how many Moons would be required to equal the mass of the Earth, we can divide the mass of the Earth by the mass of the Moon:
5.97 x 10^24 kg / 7.35 x 10^22 kg = 81.3
Therefore, it would take approximately 81.3 Moons to equal the mass of the Earth.
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an object whose center of gravity is above its base of support will be unstable if a vertical line projected downward from the center of gravity falls outside of the base of support. true false
An object whose center of gravity is above its base of support will be unstable if a vertical line projected downward from the center of gravity falls outside of the base of support. This statement is true.
The center of gravity of an object is the point at which its weight can be considered to act. If the center of gravity is above the base of support, the object will tend to tip over or fall if the vertical line projected downward from the center of gravity falls outside of the base of support.
If the base of support is not wide enough to counteract this torque, the object will become unstable and tip over.
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On a dry winter day, if you scuff your feet
across a carpet, you build up a charge and get
a shock when you touch a metal doorknob.
In a dark room you can actually see a spark
about 2 cm long. Air breaks down at a field
strength of 3 × 10^6 N/C.
How much charge have you built up? Assume that just before the spark occurs, all the
charge is in your finger, drawn there by induction due to the proximity of the doorknob.
Approximate your fingertip as a sphere of diameter 1.59 cm, and assume that there is an
equal amount of charge on the doorknob 2 cm
away.
Answer in units of C.
The amount of charge built up on your fingertip is approximately 10.08 x 10^-5 C.
How did we get the value?The spark length of 2 cm is equal to the breakdown field strength in air, so the electric field strength between your fingertip and the doorknob is 3 x 10^6 N/C.
The electric potential difference between the two points is given by the equation:
V = Ed
Where V is the potential difference, E is the electric field strength, and d is the distance between the two points.
In this case, d is equal to 2 cm, so we can calculate the potential difference:
V = (3 x 10^6 N/C) x (2 cm) = 6 x 10^6 N m/C = 6 x 10^6 V
Next, we can calculate the charge q on your fingertip using the formula:
q = CV
Where C is the capacitance of your fingertip.
The capacitance of a sphere is given by the formula:
C = 4πε_0r
Where C is the capacitance, ε_0 is the permittivity of free space, and r is the radius of the sphere.
The diameter of your fingertip is 1.59 cm, so the radius is 0.795 cm. Plugging these values into the formula for capacitance, we get:
C = 4πε_0 * 0.795 cm = 4π * 8.85 x 10^-12 * 0.795 cm = 1.68 x 10^-11 F
Finally, we can calculate the charge on your fingertip by plugging in the values for q and C into the equation:
q = C x V = 1.68 x 10^-11 F x 6 x 10^6 V = 10.08 x 10^-5 C
So the amount of charge built up on your fingertip is approximately 10.08 x 10^-5 C.
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what happens to the brightness of bulb a if you replace bulb b with a short circuit?
If bulb B is replaced with a short circuit, it will effectively bypass the circuit that includes bulb A. As a result, the current in the circuit will increase, which may cause the bulb A to become brighter.
What is a circuit?A circuit is a closed path or loop through which electrical current can flow. It is made up of various components that work together to allow the flow of electricity. The basic components of a circuit include a power source, such as a battery or generator, wires or conductors that carry the current, and various other components such as switches, resistors, capacitors, and diodes, which help to control and modify the flow of electricity.
When a circuit is closed, the electrical current flows from the power source through the components and back to the power source. This flow of electricity is usually measured in amperes (amps) and is controlled by the voltage of the power source and the resistance of the components in the circuit.
Circuits can be either series circuits, where the components are arranged one after the other in a single loop, or parallel circuits, where the components are arranged in multiple branches, allowing the current to flow through each component independently. Circuits are used in a wide range of electrical and electronic devices, from simple household appliances to complex computer systems and telecommunications networks.
If bulb B is replaced with a short circuit, it will effectively bypass the circuit that includes bulb A. As a result, the current in the circuit will increase, which may cause the bulb A to become brighter. However, it's also possible that the increased current could cause bulb A to burn out or even damage the circuit itself. In general, it's not recommended to create a short circuit intentionally as it can be dangerous and potentially cause damage to the electrical system.
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What strength electric field is needed if the electron is to emerge from an exit hole 1. 0 cm away from the entrance hole, traveling at right angles to its original direction? hint: the difficulty of this problem depends on how you choose your coordinate system
The strength of the electric field needed if the electron is to emerge from an exit hole 1. 0 cm away from the entrance hole, travelling at right angles to its original direction is [tex]\frac{-K}{(q(.01*cos45))} = E[/tex].
The electric field needs to bring vertical velocity to zero and horizontal velocity to what the vertical velocity was. We need to find what E-field is required to bring the vertical velocity to zero without having to worry about the horizontal velocity, I think.
Vi = [tex]\frac{(2\frac{K}{m} )1}{2 }[/tex]
d = 0.01*cos45
0 = [tex](\frac{2K}{m} )+2a*.01*cos45[/tex]
[tex]\frac{-K}{(m(.01*cos45)) } =a[/tex]
Now finding acceleration in terms of E
qE=ma
[tex]q\frac{E}{m} = a[/tex]
Combining them:
[tex]\frac{-K}{(m(.01*cos45))}[/tex]= [tex]q\frac{E}{m}[/tex]
[tex]\frac{-K}{(q(.01*cos45))}[/tex]=E
Therefore, when we go through this we get 17655 [tex]\frac{N}{C}[/tex], which seems close (right order of magnitude).
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The correct question is:
A problem of practical interest is to make a beam of electrons turn a 90∘ corner. This can be done with the parallel-plate capacitor shown in the figure (Figure 1). An electron with kinetic energy 2.0×10−17 J enters through a small hole in the bottom plate of the capacitor. What strength electric field is needed if the electron is to emerge from an exit hole 1.0 cm away from the entrance hole, travelling at right angles to its original direction?
a capacitor restores energy u1 when it holds charge q. the same capacitor stores energy u2 when it holds charge 16q. what is the ratio u2/u1?
When a capacitor has charge q, it recovers energy u₁, and when it holds charge 16q, it stores energy u₂. u₂/u₁ has a value of 256.
Energy (E) stored in capacitor:-
[tex]U = (1/2) * C * V^2[/tex]
here U is energy,
C is capacitance, and
V is voltage across the capacitor.
Since the same capacitor is used in both cases, we can assume that the capacitance C is constant. Therefore, the ratio of energy stored is given by the ratio of the voltage squared:
[tex](u_2/u_1) = (V_2^2 / V_1^2)[/tex]
To find V2 and V1:-
C = q/V
here q is charge stored on the capacitor.
For the first case, the capacitor holds charge q, so the voltage across the capacitor is:
V₁ = q/C
The energy stored is:
[tex]U_1 = (1/2) * C * V_1^2 = (1/2) * q^2 / C[/tex]
For the second case, the capacitor holds charge 16q, so the voltage across the capacitor:-
[tex]V_2 = 16q / C[/tex]
The energy stored is:
[tex]U_2 = (1/2) * C * V_2^2 = (1/2) * (16q)^2 / C[/tex]
Reserving these values into the ratio formula:-
[tex](u_2/u_1) = (V_2^2 / V_1^2) = [(16q / C)^2 / (q / C)^2][/tex]
= [tex](16^2 * q^2 / q^2)[/tex]
= 256
Therefore, the ratio [tex]u_2/u_1[/tex] is 256.
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The time needed for a water wave to change from the equilibrium level to the crest is 0.5731 s.
1. What is the period of the wave? Answer in units of s.
2. What is the frequency of the wave? Answer in units of Hz.
1. The period of the waves is 2.2924s.
2. The frequency of the wave is 0.4362 Hz.
Given :
t=0.5731 s.
The time taken to travel this would be
t = T/4
T = [tex]0.5731*4[/tex]
T = 2.2924
Frequency is given by,
f = 1/T
f = [tex]1/2.2924[/tex]
f = 0.4362 Hz.
What is the time period in physics?
The time taken for one complete oscillation to occur is called the Time Period. It is denoted by T. Its unit is seconds.
What is the frequency?
Frequency is the number of vibrations or the number of occurrences of a repeating event per unit of time. The frequency is measured in terms of Hertz.
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The escape velocity on Earth is 11.2 km/s.The escape velocity on a planet having mass twice that of the earth and radius half that of the earth will be- a. 22.4 km/s b. 11.2 km/s c. 33.6 km/s d. None of the above
How do you know if a process is endothermic or exothermic?
Exothermic reactions have negative enthalpy because they release more energy than they take in. Consider this to be the quantity of heat that is emitted from (or removed from) the reaction.
A reaction is endothermic and will have a positive enthalpy if it absorbs or utilises more energy than it produces.
Energy is needed to dissociate atom bonds. It is liberated by forming new bonds.
The energy needed to dissolve the bonds between the reactants less the energy produced during the creation of new bonds in the products is the enthalpy of the reaction.
Examining the enthalpy changes during methane burning
In this reaction, the bonds between the oxygen atoms and the carbon atoms as well as the hydrogen atoms and carbon atoms are severed. These connections must be broken, which causes the reaction to consume energy.
New bonds then develop between carbon and oxygen as well as between hydrogen and oxygen.
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a cylindrical rod has a length of 36 cm and a diameter of 2.4 mm. what is the cross-sectional area in 10-6 m2? do not include units with your answer.
The cross-sectional area in 10⁻⁶ m of a cylindrical rod has a length of 36 cm and a diameter of 2.4 mm is 4.5216 x 10⁻⁶ m².
Cross Sectional Area of a Cylinder = π x R2 where π is a constant (3.14159265), which is the rate of the circumference to periphery of a circle, while R is the compass of the cylinder. So all you need to know, to be suitable to calculate the cross sectional area, is its compass. The forecourt of the compass, multiplied by π, shall give you the value of the cross sectional area. The unit of cross sectional area will depend on the length unit used for compass dimension. Since π is dimensionless, the unit for area could be meter2, cm2 or indeed ft2.
We're given a spherical rod whose cross-sectional area will be in the form of circle.
To calculate the area of circle, we use the equation:
Area = [tex]\pi r^2[/tex]
where,
r = radius of rod
r = 2.4 /2 = 1.2 x 10⁻³ m
(Conversion factor: 1 m = 1000 mm)
Putting values in above equation, we get:
Area = [tex]\pi r^2[/tex]
= 3.14 x (1.2 x 10⁻³)²
= 4.5216 x 10⁻⁶ m²
Therefore, the cross sectional area of cylinder rod is 4.5216 x 10⁻⁶ m².
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An elevator suspended by a cable is descending at constant velocity. Name these forces.
An elevator is suspended by a cable, descending at constant velocity. Forces are tension force which acts upward and gravity force or elevator's weight, which acts downward.
What is meant by tension forces?In physics, tension is described as pulling force transmitted axially by the string, rope, chain, or similar object, or by each end of rod or similar three-dimensional object. Tension can also be described as the action-reaction pair of forces acting at each end of the said elements
Tension force falls under category of contact forces as it can only be exerted when there is a contact between cable and an object of consideration. This kind of force always pulls but never pushes.
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a skydiver falls towards the earth. the attraction of the earth on the diver pulls the diver down. what is the reaction to this force? air resistance the diver encounters while falling the attraction to the planets, stars, and every particle in the universe water resistance that will soon act upward on the diver all of these none of these
The reaction to the force of the Earth's attraction is air resistance, which the diver encounters while falling.
What is air resistance?Air resistance is a type of drag force that occurs when air slows down an object's motion as it moves through the air. It is an opposing force that acts on an object in motion through the air, and is caused by the air molecules colliding with the object's surface.
This air resistance creates an upward force on the diver, slowing down their descent. Additionally, the diver also experiences water resistance when they reach the surface of the water, which acts in the opposite direction of the Earth's gravitational attraction, pushing the diver upwards. Finally, the diver is also affected by the attraction of other planets, stars, and particles in the universe, although their influence is negligible compared to the Earth's gravitational pull.
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the focal length of the lens of a simple digital camera is 5.7 mm, and it is originally focused on a flower 1.5 m away. in what direction must the lens be moved to change the focus of the camera to a tree 100 m away?
Lens of digital camera must be moved approximately 99.4 meters farther away from the flower to focus on the tree.
To change the focus of the camera from a flower 1.5 m away to a tree 100 m away, we need to move the lens to adjust the distance between the lens and the image sensor. This adjustment changes the focal length of the lens and allows the camera to focus on objects at different distances.
The focal length of the lens, f, is related to the distance between the lens and the image sensor, d, by the thin lens equation:
[tex]1/f = 1/d_o + 1/d_i[/tex]
where [tex]d_o[/tex] :object distance (lens to object distance), and [tex]d_i[/tex] : image distance (lens to image sensor distance).
For the original focus on the flower, we have:
f = 5.7 mm,
[tex]d_o[/tex]= 1.5 m, [tex]d_i[/tex] = ?
Using the thin lens equation, we can solve for d_i:
[tex]1/5.7 mm = 1/1.5 m + 1/d_i[/tex]
[tex]d_i[/tex] = 5.9 mm
The image sensor is 5.9 mm away from the lens when the camera is focused on the flower.
For the new focus on the tree, we have:
f = 5.7 mm
[tex]d_o[/tex] = 100 m, [tex]d_i[/tex] = ?
Using the thin lens equation again, we can solve for d_i:
[tex]1/5.7 mm = 1/100 m + 1/d_i[/tex]
[tex]d_i[/tex]= 5.77 mm
To change the focus of the camera from the flower to the tree, we need to move the lens by a distance Δd such that the new image distance is 5.77 mm. We can use the thin lens formula to find the new object distance:
[tex]1/5.7 mm = 1/d_o + 1/5.77 mm[/tex]
[tex]d_o[/tex] = 100.9 m
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tree is placed 15 cm of converging mirror the radius of curvature is 20 cm calculate the distance of image
A tree is placed cm from the converging mirror, and the radius of curvature is 20 cm. The distance of the image is 30 cm.
What is a converging mirror?A converging mirror is also known as a concave mirror, whose inner side has a reflecting surface. They are called converging mirror because it converges all parallel beam of light incident on them.
u = -15cm, object distance
R = -20cm (Converging mirror)
f = R/2 = -10 cm focal length
1/v + 1/u = 1/f
1/v + 1/-15 = 1/-10
1/v – 1/15 = -(1/10)
1/v = 1/15 – 1/10 = (2 -3)/30 = - (1/30)
v = - 30 cm
Therefore, the image is formed 30 cm in front of the mirror.
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consider the compression of air by means of (a) shock compression and (b) isentropic compression. starting from the same initial conditions of p1 and v1, plot to scale the pv diagrams for both compression processes on the same graph. from the comparison, what can you say about the effectiveness of shock versus isentropic compression?
Effectiveness of shock compression versus isentropic compression depends on the application and the desired compression characteristics.
Shock compression and isentropic compression are two methods used for compressing air. In shock compression, the air is rapidly compressed by a shock wave, while in isentropic compression, the compression is slow and reversible, and the entropy remains constant throughout the process.
When we compare the PV diagrams for these two compression processes, we observe that the shock compression curve is steeper than the isentropic compression curve. This means that for the same final pressure, the volume in shock compression is smaller than in isentropic compression. This indicates that shock compression is a more effective compression process compared to isentropic compression.
The effectiveness of shock compression arises due to its rapid compression rate, which generates a higher pressure rise and temperature increase. This makes it useful for high-pressure applications, such as in supersonic aircraft engines and shock-wave experiments.
However, shock compression also generates a significant amount of entropy and heat, which can lead to the degradation of the compressed gas. Isentropic compression, on the other hand, produces no entropy or heat, but is slower and less effective for high-pressure applications.
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