an object that isn't completely transparent or opaque kinda the middleground
it allows light through but it's not clear
A rock of 710 kg needs to be moved. One man pushes with a force of 156 Newtons east, another man pushes with a force of 220 Newtons east. If the acceleration is 0.2 m/s/s, what is the Total Force exerted?
The total force exerted on the rock is 376 Newtons east.
To find the total force exerted on the rock, we need to consider the individual forces and their directions.
The first man pushes with a force of 156 Newtons east. We can represent this force as a vector: (156 N, 0 N).
The second man pushes with a force of 220 Newtons east. Similarly, we represent this force as a vector: (220 N, 0 N).
Since both forces are in the same direction (east), we can simply add the magnitudes of the forces to find the total force exerted:
Total force = 156 N + 220 N = 376 N
Therefore, the total force exerted on the rock is 376 Newtons east.
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problem 10.019.b - quality of steam at turbine exit determine the quality of the steam at the turbine exit. use steam tables. (you must provide an answer before moving on to the next part.) the quality of the steam at the turbine exit is
The quality of steam at the turbine exit can be determined using steam tables. First, the pressure and temperature of the steam at the turbine exit must be known.
What is temperature?Temperature is the measure of the amount of heat energy present in a substance or system. It is measured using either the Celsius (°C) or Fahrenheit (°F) scale, and is an important physical quantity in many scientific disciplines. Temperature indicates how hot or cold something is relative to a reference point. It is a measure of the average kinetic energy of the particles in a system, and is closely related to the concept of entropy. Temperature is a macroscopic property, meaning that it is measurable for large numbers of particles. Temperature also affects the rate of many chemical and physical processes, and plays an important role in determining the properties of materials.
Once this information is known, the steam tables can be used to calculate the quality of the steam at the turbine exit. For example, if the pressure is 10 bar and the temperature is 500°C, the quality of the steam is 0.945.
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PLEASE HELP ME!!!
Which of the following connect to the energy conversions that happen when you plug a vacuum into an electrical outlet and turn it on?
A.)kinetic, chemical, sound
B.)sound, nuclear, electrical
C.)chemical, nuclear, electrical
D.)sound, thermal, kinetic
Answer:
I think is B. sound, nuclear, electrical
but if I wrong then I am so sorry
Heeeelllllllpppp I need this right now
Which type of friction acts on an object that is not moving?
O static fluid
O fluid friction
O sliding friction
O rolling friction
The friction which acts on the object that is not moving is static friction, so, option A is correct.
What is friction?Between two surfaces that are sliding or attempting to slide over one another, there is a force called friction. For instance, friction makes it challenging to push a book down the floor. Friction always moves an object in a direction that is counter to the direction that it is traveling or attempting to move.
Static friction is 0 for an object at rest on a level surface. Static friction generates an equal and opposite force that holds the book at rest if you push horizontally with a small force.
The static friction force grows to meet the force as you push harder. The book eventually moves when the maximum static friction force is reached.
Thus, the friction is static.
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What is a pulsar?
A© A binary pulsating star of the Cepheid type
B• A pulsating white dwarf beginning the long process of gravitational collapse.
C. A white dwarf expelling shells of gas that will become a planetary nebula.
D© A neutron star that sweeps a beam of radiation past the Earth each time it rotates.
A pulsar is a neutron star that sweeps a beam of radiation past the Earth each time it rotates. So, option D is correct.
A pulsar is a highly magnetized, rotating neutron star that emits beams of electromagnetic radiation. It is formed from the remnants of a massive star that has undergone a supernova explosion.
As the neutron star spins rapidly, its intense magnetic field causes beams of radiation to be emitted from its magnetic poles. These beams are observed as regular pulses of radiation as the pulsar rotates.
Pulsars are characterized by their precise and regular periods of pulsation, which can range from milliseconds to several seconds.
The emission of radiation occurs along the magnetic axis of the neutron star, and if this axis is not aligned with the rotation axis, the beams of radiation sweep across space like a lighthouse, leading to periodic pulses of radiation detected on Earth.
The discovery of pulsars in 1967 by Jocelyn Bell Burnell and Antony Hewish provided evidence for the existence of neutron stars and opened up new avenues for studying stellar remnants and extreme astrophysical phenomena.
Pulsars are important objects in astrophysics and continue to be studied for their contributions to our understanding of stellar evolution, gravity, and the behavior of matter under extreme conditions.
So, option D is correct.
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An unknown sample has a mass of 38.00 g and a volume of 56.39 ml. Calculate the density in g/ml. Provide your answer with 2 decimals. Show your work
The density of the unknown sample is 0.67 g/ml.
To calculate the density, we use the formula:
Density = Mass / Volume
Mass = 38.00 g
Volume = 56.39 ml
Substituting the values into the formula:
Density = 38.00 g / 56.39 ml
Dividing the mass by the volume, we find:
Density = 0.674 g/ml
Rounding to two decimal places, the density of the unknown sample is 0.67 g/ml.
Density is a measure of how much mass is contained within a given volume. In this case, we are given the mass of the unknown sample as 38.00 g and its volume as 56.39 ml. To find the density, we divide the mass by the volume. By performing the calculation, we obtain a density of 0.674 g/ml.
When rounding the value to two decimal places, the density of the unknown sample is 0.67 g/ml. This means that for every milliliter of the sample, there is 0.67 grams of mass. Density is an important property in chemistry and materials science as it can help identify substances and determine their behavior in various applications.
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Quick please I'll give you brainliest.
Answer:
its c
Explanation:
What is common to the terrestrial planets? A. equal rotational periods around the Sun B. thin crust and a dense iron core C. solid outer layer and an atmosphere D. a solid outer layer composed of rock and minerals
Answer:
I would say D. All terrestrial planets are made up of rock and minerals and the other planets are made up of that do not have a solid surface.
Answer D.
Explanation:
The hour hand on a certain clock is 9.9 cm long. Find the tangential speed of the tip of this hand. Express your answer using two significant figures. (mm/s)
The hour hand on a certain clock is 9.9 cm long. Find the tangential speed of the tip of this hand. To express the answer using two significant figures.
The length of the hour hand is given as 9.9 cm.
The circumference of the circle traced by the tip of the hour hand is given by 2πr, where r is the length of the hour hand.
So, the circumference traced by the tip of the hour hand is 2π(9.9 cm) = 62.136 cm.
In one hour, the hour hand makes one complete revolution, which is equal to the circumference traced by the tip of the hand.
Therefore, the tangential speed of the tip of the hour hand is equal to the circumference traced by the tip of the hand in one hour, which is 62.136 cm/hour.
To convert this to mm/s, we divide by 3600 (the number of seconds in an hour) and multiply by 10 (to convert cm to mm).
So, the tangential speed of the tip of the hour hand is (62.136/3600) x 10 mm/s = 1.7 mm/s (rounded to two significant figures).
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what is one way that astronomers have actually gotten an idea of the age of the surfaces of terrestrial planets other than the earth? group of answer choices bringing back samples and run radioactive dating tests measuring the thickness of the atmosphere above each surface counting craters looking at the colors different surfaces show
The suitable method to determine the age of the surface of terrestrial planets is the crater counting. Because, as the age of the planet increases, its crater count also increases.
What is crater counting?Crater counting a proper method to estimate the age of a planet's surface. Based on this method an assumption is made that the a piece of new planetary surface doesn't have impact craters.
The rate of accumulation of impact craters increases with the age of the planetary surface. Counting the number craters per given area helps to determine how long they have created there and thus, how long the surface has formed.
Dating of samples with radioactive isotopes is used find the age of rocks. Similarly measuring atmospheric thickness and color analysis does not give an idea about the age of the surface of planets. Hence, option c is correct.
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Which key difference between carbon and silicon makes carbon better suited to forming molecules for living things?
Carbon has the right number of outer electrons to form a wide range of molecules.
Oxidized carbon is a gas at room temperature, rather than a solid.
Carbon has a greater atomic mass, allowing for stronger molecules.
Carbon is a naturally occurring element, so it is readily available.
Oxidized carbon is a gas at room temperature, rather than a solid is the difference between carbon and silicon which makes carbon better suited to forming molecules for living things and is denoted as option B.
What is Carbon?This is referred to an element with as symbol of C and an atomic number of 6. It has four valence electrons and is able to form different types of substances by sharing the electrons with other elements which resulting in the formation of a new product.
It also has the ability to form multiple bonds which makes it unique and is present in nature in the form of gas, solids etc and is used by plants to manufacture food during photosynthesis.
Plants are a major source of food for animals and the oxidized carbon which is carbon dioxide which is a gas at room temperature is the reason why they are better suited to form molecules for living things.
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Answer:
B
Explanation:
Ca anyone help me with writing a lab report about the reaction between the pepper and the soap in water
Of course, I'd be happy to help you with writing a lab report about the reaction between pepper and soap in water. In your report, you can include an introduction that explains the purpose of the experiment, which is to observe the interaction between pepper and soap in water.
Next, describe the materials used, such as pepper, liquid soap, and water. Be sure to mention the specific brands or types of soap used, as this can affect the results. In the procedure section, explain how the experiment was conducted. Start by adding a small amount of pepper to a container of water. Then, introduce a drop of liquid soap into the water and observe the reaction. Note any changes that occur, such as the dispersion of the pepper particles or the formation of bubbles.
In the results section, detail the observations made during the experiment. Describe the appearance of the water before and after adding the soap, and note any changes in the pepper particles. Be specific and include measurements or quantities if applicable. Finally, in the conclusion, summarize the findings of the experiment. Explain whether the soap caused the pepper particles to disperse or settle, and discuss the possible underlying chemical reactions or mechanisms involved. Remember to include any calculations, graphs, or tables if necessary, and cite any sources used.
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The net force on a vehicle that is accelerating at a rate of 1.8 m/s2 is 2100 N. What is the approximate mass of the vehicle in kg? Round your answer to the nearest kilogram
The net force on a vehicle that is accelerating at a rate of 1.8 m/s2 is 2100 N. The approximate mass of the vehicle in kg is 1166.67kg.
What is force ?The word "force" has a clear definition. At this level, calling a force a push or a pull is entirely appropriate. A force is not something an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.
The vector sum of the forces exerted on a particle or object is known as the net force. The original forces' impact on the motion of the particle is replaced by the net force, which is a single force.
Force ( F ) is 2100N
Acceleration ( a ) is 1.8m/s²
Mass(m)= ?
According to formula;
Force = mass × acceleration
F= m × a
2100 = m × 1.8
2100 / 1.8 = m
Therefore, m = 1166.6kg.
Thus, The net force on a vehicle that is accelerating at a rate of 1.8 m/s2 is 2100 N. The approximate mass of the vehicle in kg is 1166.67kg.
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The plates of an isolated parallel plate capacitor are separated by a distance d and carry charge of magnitude q. The distance between the plates is then reduced to d/2. How is the energy stored in the capacitor affected by this change
The energy stored in the capacitor decreases to one-half (½) of its initial value when the distance between the plates is then reduced to d/2.
The energy stored in a capacitor.Mathematically, the energy stored in a capacitor can be calculated by using this formula:
U = ½CV² or U = q²/2C
Where:
q is the charge.C is the capacitance.V is the potential difference.Thus, we can logically deduce that the energy stored in the capacitor decreases to one-half (½) of its initial value when the distance between the parallel plate capacitors is reduced to d/2.
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Calculate the pressure increase at the bottom of a pool of depth 2m. Density of water=1000kg/m^3 g=10N/kg
Please help, I keep getting an answer that isn't an option.
A student does 6 J of work compressing a spring by 0.04 m. What is the spring constant of the spring?
(A) 150 N/m (B) 300 N/m (C) 3333 N/m (D) 7500 N/m
Answer:
D 7500
Explanation:
Energy is elastic potential energy
EPE=1/2 kx^2
6=1/2 k(0.04)^2
6=k (0.0016/2)
k = 6/0.0008 = 7500
It takes 338 kJ of energy to move a car of mass 1000 kg at a speed of v. Calculate v
Answer:
26 m/s
Explanation:
Kinetic energy = 1/2 * mass * velocity²
338kJ is 338000J.
338000 = 1/2 * 1000 * velocity²
676 = velocity²
26 m/s = velocity.
does PNS system cause more frequent depolarizations
to the sa node?
I'm aware that it increases potassium permeability to the ECF
(-) charges outside but if theres too much (-) charges in the ecf
wou
Yes, PNS system causes more frequent depolarizations to the SA (Sinoatrial) node.
The PNS (Parasympathetic Nervous System) is responsible for decreasing the heart rate. It does so by releasing acetylcholine, which stimulates the M2 muscarinic receptors found in the SA node. When acetylcholine binds to M2 receptors, it opens potassium channels, leading to hyperpolarization of the SA node cells.As a result, the pacemaker potential threshold increases and requires more time to reach the threshold for depolarization, thus reducing the heart rate. Therefore, by decreasing the potassium ion permeability of the ECF, it slows the heart rate, resulting in fewer depolarizations in the SA node, causing a lower heart rate.
In summary, the parasympathetic nervous system (PNS) causes more frequent depolarizations to the SA node. The PNS slows down the heart rate, but this does not mean that the pacemaker potential is reduced. Instead, the pacemaker potential is hyperpolarized, increasing the threshold for depolarization. Thus, fewer action potentials reach the threshold, and heart rate is decreased. So, the decrease in potassium permeability in the ECF and an increase in the parasympathetic nervous system causes hyperpolarization of the SA node and increases the threshold for depolarization. This, in turn, leads to fewer depolarizations in the SA node, causing a slower heart rate.
Therefore, it can be concluded that the PNS system causes more frequent depolarizations to the SA node and decreases heart rate by increasing the threshold for depolarization, which is accomplished by hyperpolarizing the pacemaker potential.
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Which latitude receives the least amount of heat per unit area from the Sun?
a. 0 degrees
b. 30 degrees north
c. 30 degrees south
d. 66.5 degrees north
Answer:
D
Explanation:
At 66.5 degrees north of the equator, the sun's rays will be less direct ( the sun will not be as high in the sky)
the difference between musical sounds and noise involves _______.
The difference between musical sounds and noise involves the presence or absence of regular, repeating patterns of sound vibrations, called frequencies and amplitude.
The sounds that are pleasing to our ears and have a definite pitch are known as musical sounds, whereas the sounds that are unpleasant to our ears and have no definite pitch are known as noise. Sound is an important part of our life. It is produced by vibrations that travel through the air and enter our ears. Sound is used in various ways in different fields such as music, medicine, industry, and more. The difference between musical sounds and noise involves the presence or absence of regular, repeating patterns of sound vibrations, called frequencies and amplitude. Musical sounds have a regular pattern of frequencies and amplitude while noise has no regular pattern of frequencies and amplitude.
Musical sounds are usually created by vibrating objects such as strings on a guitar or vocal cords. These objects create sound waves with a regular pattern of frequencies and amplitude that our brains interpret as musical sounds. The regular pattern of sound waves makes musical sounds predictable, which is why we can recognize them easily. Noise, on the other hand, is created by random vibrations of objects. These vibrations create sound waves with no regular pattern of frequencies and amplitude. Because noise has no predictable pattern, it is hard for our brains to recognize it.
The difference between musical sounds and noise involves the presence or absence of regular, repeating patterns of sound vibrations, called frequencies and amplitude. Musical sounds have a regular pattern of frequencies and amplitude while noise has no regular pattern of frequencies and amplitude. Musical sounds are pleasing to our ears, have a definite pitch and are created by vibrating objects, while noise is unpleasant to our ears, has no definite pitch and is created by random vibrations of objects.
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Which system is used for transporting molecules to the cells?
Answer:
Water, carbon dioxide, and oxygen are among the few simple molecules that can cross the cell membrane by diffusion
Explanation:
Calculate the Schwarzschild radius (in kilometers) for each of the following.1.) A 1 ×108MSun black hole in the center of a quasar. Express your answer using two significant figures.2.) A 6 MSun black hole that formed in the supernova of a massive star. Express your answer using two significant figures.3.) A mini-black hole with the mass of the Moon. Express your answer using two significant figures.4.) Estimate the Schwarzschild radius (in kilometers) for a mini-black hole formed when a superadvanced civilization decides to punish you (unfairly) by squeezing you until you become so small that you disappear inside your own event horizon. (Assume that your weight is 50 kg.) Express your answer using one significant figure.
Answer:
(I). The Schwarzschild radius is \(2.94\times10^{8}\ km\)
(II). The Schwarzschild radius is 17.7 km.
(III). The Schwarzschild radius is \(1.1\times10^{-7}\ km\)
(IV). The Schwarzschild radius is \(7.4\times10^{-29}\ km\)
Explanation:
Given that,
Mass of black hole \(m= 1\times10^{8} M_{sun}\)
(I). We need to calculate the Schwarzschild radius
Using formula of radius
\(R_{g}=\dfrac{2MG}{c^2}\)
Where, G = gravitational constant
M = mass
c = speed of light
Put the value into the formula
\(R_{g}=\dfrac{2\times6.67\times10^{-11}\times1\times10^{8}\times1.989\times10^{30}}{(3\times10^{8})^2}\)
\(R_{g}=2.94\times10^{8}\ km\)
(II). Mass of block hole \(m= 6 M_{sun}\)
We need to calculate the Schwarzschild radius
Using formula of radius
\(R_{g}=\dfrac{2MG}{c^2}\)
Put the value into the formula
\(R_{g}=\dfrac{2\times6.67\times10^{-11}\times6\times1.989\times10^{30}}{(3\times10^{8})^2}\)
\(R_{g}=17.7\ km\)
(III). Mass of block hole m= mass of moon
We need to calculate the Schwarzschild radius
Using formula of radius
\(R_{g}=\dfrac{2MG}{c^2}\)
Put the value into the formula
\(R_{g}=\dfrac{2\times6.67\times10^{-11}\times7.35\times10^{22}}{(3\times10^{8})^2}\)
\(R_{g}=1.1\times10^{-7}\ km\)
(IV). Mass = 50 kg
We need to calculate the Schwarzschild radius
Using formula of radius
\(R_{g}=\dfrac{2MG}{c^2}\)
Put the value into the formula
\(R_{g}=\dfrac{2\times6.67\times10^{-11}\times50}{(3\times10^{8})^2}\)
\(R_{g}=7.4\times10^{-29}\ km\)
Hence, (I). The Schwarzschild radius is \(2.94\times10^{8}\ km\)
(II). The Schwarzschild radius is 17.7 km.
(III). The Schwarzschild radius is \(1.1\times10^{-7}\ km\)
(IV). The Schwarzschild radius is \(7.4\times10^{-29}\ km\)
The energy conservation allows to find the Schwarschild radius for several bodies of different masses are:
1) Black hole quasar is: r = 2.9 10⁸ km
2) Blsck hole supernove is: r = 17.7 km
3) Mini black hole is: r = 1.1 10⁻⁷ km
4) Human body is: r= 7 10⁻²⁹ km
The schwarschild radius is defined as the distance from a black hole center at radius which the escape velocity is equal to the light speed, in some cases it is also called the event horizon.
Let's use Newton's second law where force is the universal law of attraction and acceleration is centripetal.
F = ma
F = \(G \frac{Mm}{r^2}\)
Where F is the force, M the mass of the black hole, m the handle of the body, r the radius and v the speed of the body.
The energy of the gravitational field is
F = \(- \frac{dU}{dr }\)
U = \(-G \frac{Mm}{r}\)
Let's use conservation of energy
Em₀ = K + U = ½ m v² - \(G \frac{Mm}{r}\)
In infinity the energy
Em_f = 0
energy is conserved
Em₀ = Em_f
½ m v² - \(G \frac{Mm }{r}\) = 0
r = \(\frac{2GM}{v^2}\)
From the definition of the Schwarschild radius this speed is equal to the light speed
v = c
r = \(\frac{2GM}{c^2 }\)
They ask to calculate the radius for several cases of different mass, claculate the constant value
V = \(\frac{2 \ 6.67 \ 10^{-11} }{(3 \ 10^8) ^2 }\)
V = 1.482 10⁻²⁷
1) A black hole of mass M = 1 10⁸ \(M_{sum}\)
The tabulated mass of the sun is \(M_{sum}\) = 1.989 10³⁰ kg
Let's substitute
r = 1.482 10⁻²⁷ 1 10⁸ 1.989 10³⁰
r = 2.94 10⁸ km
With two significant figures
r = 2.9 10⁸ km
2) A black hole of mass M = 6 \(M_{sum}\)
r = 1.482 10⁻²⁷ 6 1.989 10-30
r = 17.7 km
3) a mini black hole with the mass of the moon
Tabulated mass of the moon M = 7.35 10²² kg
r = 1.482 10⁻²⁷ 7.35 10²²
r = 1.1 10⁻⁷ km
4) A person of M = 50 kg
r = 1.482 10⁻²⁷ 50
r= 7 10-29 km
In conclusion using the conservation of energy we can find the Schwarschild radius for several bodies of different masses are:
1) Black hole quasar is: r = 2.9 10⁸ km
2) Blsck hole supernove is: r = 17.7 km
3) Mini black hole is: r = 1.1 10⁻⁷ km
4) Human body is: r= 7 10⁻²⁹ km
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light traveling in diamond is incident on a 3 cm thick piece of sapphire. it enters the sapphire at an angle of 50 degrees as shown. when it reaches a third material, it undergoes total internal reflection. (a) what is the incident angle theta1 of the light in the diamond?
The incident angle θ1 of the light in the diamond is approximately 7.91 degrees.
The incident angle θ1 of the light in the diamond can be calculated using the Snell's law, which states that the ratio of the sine of the incident angle to the sine of the refracted angle is equal to the ratio of the speed of light in the medium of incidence (diamond) to the speed of light in the medium of refraction (air).
Using the values given in the question:
The angle of incidence θ1 = 50 degrees
The refractive index of diamond (n1) = 2.419
The refractive index of air (n2) = 1.000
The speed of light in a vacuum (c) = 299,792,458 meters per second
We can calculate the incident angle θ1 using the Snell's law:
sin(θ1) / sin(θ) = (c/n1) / (c/n2)
sin(θ1) = (c/n1) / (c/n2) * sin(θ)
θ1 = (c/n1) / (c/n2) * sin(theta)
Since the sine of an angle is always between -1 and 1, we can solve for θ1:
0.5 = (299,792,458 / 2.419) / (299,792,458 / 1.000) * sin(theta)
sin(θ1) = 0.5 / (299,792,458 / 1.000) * sin(θ)
sinθ1) = 0.5 / (2.998 x \(10^6\)) * sin(θ)
sin(θ1) = 0.5 / 7.91 x \(10^-5\) * sin(theta)
θ1= 7.91 x \(10^-5\) * sin(theta)
Therefore, the incident angle θ1 of the light in the diamond is approximately 7.91 degrees.
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If 1.32 mol of H2 gas is added holding the volume and temperature constant, the average kinetic energy of the total system will
- increase
- not enough information to answer the question
- decrease
- remain the same
The average kinetic energy of a gas is directly proportional to the temperature of the gas. Since the volume and temperature are being held constant and the amount of gas is increasing, the average kinetic energy of the total system will remain the same. Thus, the correct option is "remain the same".
Explanation:In the kinetic molecular theory, the average kinetic energy of the gas molecules is directly proportional to the temperature of the gas. The average kinetic energy of a gas can be calculated using the equation KE = (3/2) kT, where k is the Boltzmann constant and T is the temperature of the gas.
Since the volume and temperature of the gas are being held constant, the only factor that is changing is the amount of gas. If 1.32 mol of H2 gas is added, the number of gas molecules will increase, but the temperature will remain the same. Therefore, the average kinetic energy of the total system will remain the same.
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Earth has a mass of 5,970,000,000,000,000,000,000,000 kg. How would
scientists express this number in scientific notation?
A. 5.97 x 1022 kg
B. 59.7 x 1023 kg
C. 5.9724 kg
D. 5.97 x 1024 kg
Answer:
5.97×10^24 kg
Explanation:
thats how it is expressed
5,970,000,000,000,000,000,000,000 kg in scientific notation is 5.97×10²⁴Kg. Therefore, the correct option is option D.
What is scientific notation?Scientific notation is indeed a way of expressing integers that are either too large or too little to be represented in decimal form. It is also known as 'scientific form' in the United Kingdom, and it is often in use by scientists, mathematicians, as well as engineers for difficult computations involving large numbers.
The scientific notation is written in two parts: the first is merely the digits, with both the numerical value placed following the initial digit, and the second is multiplication by 10 to a components impacting of decimal points, which places the decimal place where it belongs. To represent 5,970,000,000,000,000,000,000,000 kg in scientific notation, we need to move the decimal point towards left .
5,970,000,000,000,000,000,000,000 kg = 5.97×10²⁴Kg
Therefore, the correct option is option D.
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a mass is placed on a frictionless, horizontal table. a spring ( ), which can be stretched or compressed, is placed on the table. a 5-kg mass is anchored to the wall. the equilibrium position is marked at zero. a student moves the mass out to and releases it from rest. the mass oscillates in simple harmonic motion. find the position, velocity, and acceleration of the mass at time .
The position is given by \(\(x = A \cos(\omega t)\)\), velocity is \(\(v = -A \omega \sin(\omega t)\)\), and acceleration is \(\(a = -A \omega^2 \cos(\omega t)\)\).
To find the position, velocity, and acceleration of the mass at time \(\(t\)\) in simple harmonic motion, we can use the equations of motion for harmonic oscillators.
Let's denote the equilibrium position as \(\(x = 0\)\) and the initial displacement of the mass as \(\(A\)\). The angular frequency, \(\(\omega\)\), of the oscillation can be calculated by:
\(\(\omega = \sqrt{\frac{k}{m}}\),\)
where;
\(\(k\)\) = spring constant and \(\(m\)\) is the mass.
The position of the mass at time \(\(t\)\) is given by
\(\(x = A \cos(\omega t)\)\)
The velocity of the mass at time \(\(t\)\) is given by
\(\(v = -A \omega \sin(\omega t)\)\)
The acceleration of the mass at time \(\(t\)\) is given by
\(\(a = -A \omega^2 \cos(\omega t)\)\)
In this case, since the mass is initially at rest and released from rest, \(\(A\)\) is the initial displacement of the mass. As the student moves the mass out, \(\(A\)\) would be the initial displacement of the mass.
Using these equations, you can calculate the position, velocity, and acceleration of the mass at any given time \(\(t\)\) in the simple harmonic motion.
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URGENT : need this for tmmr
2.2cm^3
As per the statement the given measurement of different volumes
Let consider
V1 = 2.1cm^3
V2 = 2.1cm^3
V3 = 2.4cm^3
Now, we are supposed to find the mean value
mean value = submission of total number observation÷ sum of no. of observation
mean value = 2.1+2.1+2.4÷ 3
mean value = 6.6÷3
mean value= 2.2cm^3
The central tendency of data is measured by the term "mean." It is a value that, in general, may be used to express the primary value of a group of data. It is determined by adding up all of the data set's observations and dividing the result by the total number of observations.To know more about mean value visit : https://brainly.com/question/12513463
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Rhea is a high school gymnast, and she is really inspired by Simone Biles. Rhea really admires her skill and dedication. However, her friend tells her that she should pick a more realistic role model since Simone Biles is an exceptional athlete and few gymnasts in the world will ever be that good. What is the BEST advice for Rhea?
A.
Rhea should listen to her friend and find someone more ordinary.
B.
Biles is very famous and Rhea probably will not be, so it is unrealistic to admire her.
C.
Only people that are at the absolute top of their field should be considered role models.
D.
If Rhea is inspired and not too focused on comparing abilities, Biles is a good role model.
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Answer: D
Explanation:
If Rhea is inspired and not too focused on comparing abilities, Biles is a good role model.
The starting velocity was 0 m/s, and the final velocity was -7.68 m/s. Based on this, what was the average velocity of the rock
Formula: v = s+f/2
v = average velocity
s = starting velocity
f = final velocity
Use what we are given and solve.
v = 0+(-7.68)/2
v = -7.68/2
v = -3.84
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a swan on a lake gets airborne by flapping its wings and running on top of the water. if the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at a constant rate of 0.350 m/s2, how far will it travel before becoming airborne?
By using uniform motion, the distance traveled by the swan is 51.43 meters.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
vo = 0 m/s
vt = 6 m/s
a = 0.35 m/s²
By using second equation, we can find the distance traveled by swan
vt² = vo² + 2a . s
6² = 0² + 2 . 0.35 . s
36 = 0.7 s
s = 36 / 0.7
s = 51.43 m
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