how does the use of prefixes make each expression and conversation of measurement easier
Answers
The use of prefixes makes the expression and conversion of measurements easier by providing a standardized and efficient way of denoting values that span a wide range of magnitudes.
Prefixes are added to the base unit of measurement to indicate multiples or fractions of that unit. For example, the prefix “kilo” (k) represents a factor of 1000, so 1 kilogram (kg) is equal to 1000 grams (g). Without prefixes, it would be cumbersome to express or compare measurements that span a wide range of magnitudes.
Moreover, the use of prefixes facilitates conversions between different units of measurement. With knowledge of the conversion factors between prefixes, one can easily convert from one unit to another. For instance, the conversion factor between meters and kilometers is 1 km = 1000 m, so a distance of 5 km is equivalent to 5000 m.
In summary, the use of prefixes provides a systematic and efficient way of expressing and converting measurements that span a wide range of magnitudes. It simplifies communication of measurements and enables easier comparisons and conversions between units.
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Related Questions
TRUE/FALSE. in static filtering, configuration rules must be manually created, sequenced, and modified within the firewall.
Answers
The given statement "In static filtering, configuration rules do need to be manually created, sequenced, and modified within the firewall." is TRUE. Static filtering is a method used by firewalls to control network traffic based on predetermined rules.
These rules are set by the network administrator and are not dynamically updated based on the content of the traffic. To implement static filtering, the administrator must manually create rules that define which types of traffic are allowed or denied. These rules specify criteria such as source and destination IP addresses, port numbers, and protocols. The rules are then sequenced to determine the order in which they are evaluated.
For example, if a firewall has a rule that allows incoming HTTP traffic on port 80, followed by a rule that denies all other incoming traffic, the HTTP traffic will be allowed while other traffic will be blocked.
In addition to creating rules, the administrator may need to modify them as network requirements change. For example, if a new service needs to be accessed from the internet, a rule allowing the required traffic will need to be added or modified.
Overall, static filtering requires manual configuration, sequencing, and modification of rules within the firewall to control network traffic effectively.
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a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above. after several seconds, the gazelle notices the lion and accelerates directly toward him, hoping to pass the lion and force him to reverse direction. as the gazelle accelerates toward and past the lion, the lion changes direction and accelerates in pursuit of the gazelle. the lion and the gazelle eventually each reach constant but different speeds. which of the following sets of graphs shows a reasonable representation of the velocities of the lion and the gazelle as functions of time?
Answers
The graph shown in the first option nicely plots the lion's and gazelle's velocities as a function of time, so option A is the correct answer.
Velocity is the rate of change of displacement over time.
It has SI units as m/s.The total amount of movement of an object per unit time is also called velocity. It depends on both the size and direction of the moving object.Velocity can also be called as speed when distance is taken into consideration instead of displacement.As mentioned in the problem of running at a constant speed towards a gazelle with a standing lion as shown above.
So option A is correct.
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Magnitude is used to show the brightness of one object compared with the brightness of another object with the _____ magnitude of a star referring to a star's brightness as seen from your eyes and _____ magnitude being the actual brightness of a star.
Answers
The apparent magnitude of a star refers to its brightness as seen from your eyes and absolute magnitude being the actual brightness of a star.
What is magnitude?Magnitude can be defined as a unitless measure which is used to show the brightness of an object in comparison with the brightness of another object.
Basically, there are two types of magnitude and these include the following:
Apparent magnitudeAbsolute magnitudeIn conclusion, the apparent magnitude of a star refers to its brightness as seen from your eyes and absolute magnitude being the actual brightness of a star.
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I'm pretty sure it's apparent; absolute
1.Suppose you place m items in a hash table with an array size of s. What is the correct formula for the load factor?
A. s + m
B. s - m
C. m - s
D. m * s
E. m / s
Answers
Formula for the load factor is E. m / s. The correct option is e.
The load factor is defined as the ratio of the number of items (m) to the size of the array (s). It represents the amount of space in the hash table that is currently occupied by the stored items.
Load Factor = m / s
For example, if a hash table has an array size of 10 and currently contains 5 items, the load factor would be:
Load Factor = 5 / 10 = 0.5
A high load factor (close to 1) indicates that the hash table is approaching its maximum capacity and may need to be resized to avoid collisions and maintain performance. A low load factor (close to 0) indicates that the hash table is not being efficiently utilized and may be wasting memory.
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Given that the Sun's lifetime is about 10 billion years, estimate the life expectancy of a a) 0.2-solar mass, 0.01-solar luminosity red dwarf b) a 3-solar mass, 30-solar luminosity star c) a 10-solar mass, 1000-solar luminosity star
Answers
The life expectancy of the given stars are:a) 0.2-solar mass, 0.01-solar luminosity red dwarf: 10 trillion yearsb) 3-solar mass, 30-solar luminosity star: 10 million yearsc) 10-solar mass, 1000-solar luminosity star: 10 million years.
The life expectancy of a star is determined by its mass and luminosity. The more massive and luminous the star is, the shorter its life expectancy is. Hence, using this information, we can estimate the life expectancy of the following stars:a) 0.2-solar mass, 0.01-solar luminosity red dwarfRed dwarfs are known to have the longest life expectancies among all types of stars. They can live for trillions of years.
Hence, a 0.2-solar mass, 0.01-solar luminosity red dwarf is expected to have a much longer life expectancy than the Sun. It could live for up to 10 trillion years or more.b) 3-solar mass, 30-solar luminosity starA 3-solar mass, 30-solar luminosity star is much more massive and luminous than the Sun. As a result, it will have a much shorter life expectancy than the Sun.
Based on its mass and luminosity, it is estimated to have a lifetime of around 10 million years.c) 10-solar mass, 1000-solar luminosity starA 10-solar mass, 1000-solar luminosity star is extremely massive and luminous. It will burn through its fuel much faster than the Sun, resulting in a much shorter life expectancy. Based on its mass and luminosity, it is estimated to have a lifetime of only around 10 million years as well.
Therefore, the life expectancy of the given stars are:a) 0.2-solar mass, 0.01-solar luminosity red dwarf: 10 trillion yearsb) 3-solar mass, 30-solar luminosity star: 10 million yearsc) 10-solar mass, 1000-solar luminosity star: 10 million years.
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a if your speedometer has an uncertainty of 20 kmh at a speed of 90 kmh what is the percent uncertai
Answers
As per the given values, and uncertainty of the speedometer the actual speed could be 61.33 km/h.
Uncertainty = 2.0 km/h
Measured value = 90 km/h
Calculating the Percent uncertainty -
= (Uncertainty / Measured value) x 100
= (2.0 / 90 ) x 100
= 2.22%
Now, assuming the speedometer has the same percent uncertainty at 60 km/h, this percent uncertainty can be used to determine the range of speeds.
Percent uncertainty = 2.22%
Measured value = 60 km/h
Calculating the range -
= (Percent uncertainty / 100) x Measured value
= (2.22% / 100) x 60
= 1.33
Calculating the Total speed -
= 60 + 1.33
= 61.33
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Complete Question:
If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h ,what is the percent uncertainty? (b) If it has the same percent uncertainty when it reads 60 km/h , what is the range of speeds you could be going?
Which climate favors mechanical weathering?
Answers
Cold climate favors rapid mechanical weathering, since the cold seasons cause the rock to contract.
What is mechanical weathering and what climate they favour?Mechanical weathering, sometimes referred to as physical weathering and disaggregation, causes rocks to break down. Water, whether liquid or solid, is usually present during mechanical weathering. For instance, liquid water can seep through fractures and fissures in rock.
Cold climates promote mechanical weathering because they force rocks to contract and compress during the colder months. The rocks degrade and break at higher temperatures. Temperature fluctuations cause the expansion and contraction of rock (with cold). As this continues repeatedly, the structure of the rock deteriorates. It breaks down over time.
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of the five masses in orbit around the central mass, the one that would require the most energy to escape from its orbit is
Answers
The energy required to escape an orbit is dependent on the mass of the object and the velocity at which it orbits.
Therefore, the mass that would require the most energy to escape from its orbit is the one with the greatest mass and the fastest velocity.
In this case, we know that there are five masses orbiting a central mass. Assuming that they are all at the same distance from the central mass, the mass that would require the most energy to escape its orbit would be the one with the greatest mass.
This is because the gravitational force between two masses is proportional to the product of their masses. The greater the mass of an object, the greater the gravitational force it exerts on other objects.
Therefore, the object with the greatest mass would require the most energy to overcome its gravitational pull and escape its orbit.
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A substance that heats up relatively quickly has a low specific heat capacity. Select one: O True O False
Answers
As the given statement is False. As a substance that heats up relatively quickly must has a high specific heat capacity.
What is specific heat capacity?A physical property of matter is specific heat capacity. The quantity of heat energy required to raise a substance's temperature per unit of mass is known as the specific heat capacity. It serves as an illustration of a large property. Since the scale of the system under study directly affects it. Therefore, it is the amount of heat absorbed by the substance per unit mass when its temperature is elevated. Specific Heat Capacity is measured in J/(kg K) or J/(kg °C) units.
As heating is quick when the substance have high specific heat capacity and the heating will be slow when the substance have less specific heat capacity.
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What is the difference in KE between a 52.5 kg person running 3.50 m/s and a 0.0200 kg bullet flying 450 m/s?
(Unit = J)
Answers
Answer:
Ek = 1705.28 [J]
Explanation:
In order to solve this problem, we must remember that kinetic energy can be calculated by means of the following equation.
\(E_{k}=\frac{1}{2} *m*v^{2}\)
where:
m = mass [kg]
v = velocity [m/s]
Ek = kinetic energy [J] (Units of Joules)
For the person running
\(E_{k} =\frac{1}{2}*52.2*(3.5)^{2} \\ E_{k} =319.72[J]\)
For the bullet
\(E_{k} =\frac{1}{2} *m*v^{2}\)
\(E_{k} =\frac{1}{2} *0.02*(450)^{2} \\E_{k}=2025 [J]\)
The difference in Kinetic energy is equal to:
Ek = 2025 - 319.72
Ek = 1705.28 [J]
Answer: 1703.44
Explanation: trust
What is the effect of temperature on the solubility of a solid in a liquid? Check all correct elements that you included in your question. format: "What is the effect of X on Y?" materials: solid dissolved in a liquid independent variable: temperature dependent variable: solubility
Answers
Answer:
materials: solid dissolved in a liquid
independent variable: temperature
Explanation:
I got it right
A magnetic field deflects an electron beam, but it cannot do any work on the beam. this is because?
Answers
A magnetic field can deflect an electron beam, but it cannot do any work on the beam because the force exerted by the magnetic field is always perpendicular to the velocity of the electrons.
The force exerted by a magnetic field on a moving charge is given by the Lorentz force law:
F = q(v × B)
where:
F is the force on the charge
q is the charge of the particle
v is the velocity of the particle
B is the magnetic field
The cross product (×) means that the force is perpendicular to both the velocity and the magnetic field. This means that the force does not do any work on the electrons, because work is defined as the product of force and distance.
In other words, the force of the magnetic field does not cause the electrons to move along the direction of the force, so it does not do any work on them.
Additional Information:
The fact that a magnetic field can deflect an electron beam but not do any work on the beam is used in many applications, such as televisions and electron microscopes.
In a television, the magnetic field is used to deflect the electron beam so that it can scan across the screen, creating the image. In an electron microscope, the magnetic field is used to deflect the electron beam so that it can be focused on a small area, allowing for high-resolution images.
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What questions do you still have about supermassive black holes after watching this Ted Talk? Do you feel that you have a deeper understanding of what they are and why they are important, like was asked of you in the third question? Explain and discuss.
Answers
After watching the Ted Talk, there were still a few questions that I had about supermassive black holes. Firstly, I wanted to know more about the event horizon and what it exactly entails. Although the speaker briefly touched upon this subject, I would have appreciated a more in-depth explanation. Additionally, I would have liked to know more about the role of supermassive black holes in the universe.
While the speaker did mention that these black holes are responsible for the creation of galaxies, I wanted to know more about how this process works and why it is so important.Despite these questions, I do feel that I have a deeper understanding of supermassive black holes and their importance.From the Ted Talk, I learned that supermassive black holes are some of the largest objects in the universe and are essential for the formation of galaxies. I also learned that these black holes are incredibly powerful and have the ability to affect the trajectory of stars and planets.Overall, I think that the Ted Talk did a great job of explaining supermassive black holes in a way that was easy to understand. While there were still a few questions that I had after watching the video, I feel that I now have a better grasp of what supermassive black holes are and why they are so important.For such more question on supermassive
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The dwarf planet Pluto has an elliptical orbit with a semi-major axis of 5.91×1012 m and eccentricity 0.249. Calculate Pluto's orbital period. Express your answer in seconds. Calculate Pluto's orbital period. Express your answer in earth years. During Pluto's orbit around the sun, what are its closest distance from the sun? During Pluto's orbit around the sun, what are its farest distance from the sun? I'm pretty sure they meant "farthest"
Answers
Its closest distance from the Sun is about 4.44×10^12 meters, and its farthest distance is about 7.38×10^12 meters for Pluto's orbital period.
To calculate Pluto's orbital period in seconds, we will use Kepler's Third Law:
T^2 = (4 * π^2 * a^3) / (G * M)
Where:
- T is the orbital period in seconds
- a is the semi-major axis (5.91×10^12 m)
- G is the gravitational constant (6.674×10^-11 N(m/kg)^2)
- M is the mass of the Sun (1.989×10^30 kg)
1. Plug in the values: T^2 = (4 * π^2 * (5.91×10^12)^3) / (6.674×10^-11 * 1.989×10^30)
2. Solve for T: T ≈ 7.82×10^15 seconds
To convert this to Earth years, we can use the conversion factor of 1 year = 3.1536×10^7 seconds:
Pluto's orbital period in Earth years = (7.82×10^15 seconds) / (3.1536×10^7 seconds/year) ≈ 248 years
To find Pluto's closest and farthest distances from the Sun, we will use the formula:
d = a * (1 ± e)
Where:
- d is the distance from the Sun
- a is the semi-major axis (5.91×10^12 m)
- e is the eccentricity (0.249)
Closest distance (periapsis): d = 5.91×10^12 * (1 - 0.249) ≈ 4.44×10^12 meters
Farthest distance (apoapsis): d = 5.91×10^12 * (1 + 0.249) ≈ 7.38×10^12 meters
In summary, Pluto's orbital period is approximately 7.82×10^15 seconds or 248 Earth years. Its closest distance from the Sun is about 4.44×10^12 meters, and its farthest distance is about 7.38×10^12 meters.
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the local units are not internationally accepted for measurement why
Answers
i hope you will accept my answer and please put a picture next for your next question
what is the wavelength of a wave with frequency of 466 Hz and a speed of 343 m/s
Answers
Answer:
v= fxw 343= 466w then get w
Answer:
0.74 m
Explanation:
A 0.5 kg block slides along a horizontal frictionless surface at 2 m/s. it is brought to rest by compressing a very long spring of spring constant 800 n/m. the maximum spring compression is:
Answers
The maximum spring compression is: 0.05 m
We know that, Spring energy = Kinetic energy + Potential energy
i.e. \(\frac{1}{2} kx^{2} = \frac{1}{2} mv^{2} + mgh\)
where, k = spring constant = 800 n/m
m = mass of object = 0.5 kg
v = velocity of object = 2m/s
x = spring compression
Since it is brought to rest, it means it was in motion and it's potential energy was 0 , i.e. mgh = 0
Putting this values in above equation we get, x = 5 cm = 0.05 m
So, the maximum spring compression is: 0.05 m
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What 2 zones does the energy have to travel through once it leaves the core?
Answers
The core is where energy is created by nuclear fusion at extremely high temperatures. The convective zone encloses the radiative zone, which is encircled by the core.
The Sun and other stars are powered by nuclear fusion reactions. A heavier nucleus is created when two light nuclei fuse together in a fusion reaction. Because the mass of the resulting single nucleus is smaller than the combined mass of the two initial nuclei, the process produces energy. Remaining mass is converted to energy.A layer of a star's interior known as a radiation zone, or radiative area, is where energy is largely transferred toward the outside through radiative diffusion and thermal conduction rather than through convection. Electromagnetic radiation, or photons, carry energy through the radiation zone.The pressure inside the core, which is thought to be 265 billion bar (3.84 trillion psi or 26.5 pet pascals(PPa )), is made up of hot, dense plasma (ions and electrons). Fusion causes the solar plasma's mass proportion of hydrogen to decrease from 68–70% at the outer core to 34% at the core/Sun Centre.To know more about nuclear fusion
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An experimental device imparts a force of magnitude F = 40 lb to the front edge of the rim at A to simulate the effect of a slam dunk. Compute the moment of the force F about point O and about point B. The moments are positive if counterclockwise, negative if clockwise. Finally, locate a point C from the base at O to the location on the ground where the force imparts zero moment. The distance d from point O to point C is positive if C is to the right of O, and negative if to the left.
Answers
Please see attached picture for answer an explanation.
The moment of force about point O, is determined from the product of force and perpendicular distance
What is moment of force?
The moment of a force about a given point is the torque exerted by the applied force on the object. The moment of force is determined from the product of force and perpendicular distance of the applied force.
P = Fd
where;
P is the moment of forceF is the applied forced is the distance of the forceThus, the moment of force about point O, is determined from the product of force and perpendicular distance.
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Which statement describes how the motion of the water particles differs from the
motion of the wave?
O A. The particles of water move away from the disturbance without ever
returning, while the wave vibrates back and forth within a fixed position.
B. The particles of water vibrate and then return to the same general
position, while the wave travels away from the disturbance without
returning.
Answers
The particles of water vibrate and then return to the same general position, while the wave travels away from the disturbance without returning. The correct option is B
What is wave?Wave is a disturbance that travels through space and matter, transferring energy from one point to another.
Waves can occur in many different forms such as:
Water waves Sound waves Light waves Electromagnetic wavesThe movement of the wave is characterized by its wavelength frequency and amplitude. The wave itself does not move but rather the energy it carries moves through space. The particles in a medium through which the wave is traveling such as the water in a water wave or the air in a sound wave, move in a circular or back-and-forth motion.
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The Ptolemaic model of the Solar System has each planet moving along a circular epicycle whose center, in turn, moves around the Earth
Answers
The Ptolemaic model was a geocentric model of the Solar System developed by the ancient Greek astronomer, mathematician, and geographer Claudius Ptolemy.
What is Ptolemaic model?According to this model, the Earth was at the center of the universe, and all the other celestial bodies revolved around it. Each planet in the Ptolemaic model was believed to move along a circular path called an "epicycle," which was centered on a point called the "deferent." The deferent, in turn, moved along a circular path around the Earth, called the "eccentric." The epicycle's center moved along the deferent at a constant rate, which gave the appearance of retrograde motion of the planet relative to the Earth. The Ptolemaic model was a complex and intricate system that required numerous epicycles, deferents, and eccentrics to explain the observed motions of the planets. While it was able to account for some of the observed planetary motions with reasonable accuracy, it had limitations and inaccuracies that became apparent as observations became more precise over time.
Here,
Eventually, the Ptolemaic model was replaced by the heliocentric model developed by Nicolaus Copernicus, which placed the Sun at the center of the Solar System and explained the observed motions of the planets more accurately.
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3.5
An experiment was pero
of conductor on the current strength. A 200 mm length of nichrome
wire with diameter 0,3 mm is wound into a coil an attached to a
circuit. The potential difference is measured across the coil. The
experiment is repeated for a 200 mm length of copper wire of
diameter 0,3 mm. Temperature was kept constant. The following
results were obtained:
Current through each wire (A)
Potential difference across the
nichrome wire(V)
Potential difference across the copper
wire(V)
0,2 0,4 0,6 0,8 1,0
0,8 1,6 2,4 3,2 4,0
0,4 0,8 1,2 1,6 2,0
what is the independent variable here
Answers
The current flowing through each wire is the experiment's independent variable because it is the one that the experimenter is actively manipulating and controlling.
How does the resistance in the circuit change depending on the thickness of a piece of nichrome wire?The resistance is influenced by the wire's thickness, so the thicker the wire, the lower the resistance. Because less water can flow through a narrower pipe in a given length, there is more resistance in a narrower pipe.
Why does a nichrome not heat up in an electric circuit whereas a nichrome wire does?Due to the alloy composition of nichrome wire, its resistance is quite high. Because of this, it generates a lot of heat when current flows through it, making it extremely hot to the touch.
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What is it called when something with kinetic energy(something moving) hits something that is still / has potential energy
Answers
Answer:
It is called Motion Energy
Explanation:
b) The ice cube melting on the nonconducting plate
Is it conduction,convention, or radiation thermal energy
Answers
Answer:I think it’s convection
Explanation:
A ________ is a system of government in which member states retain almost all of their sovereign authority and delegate limited powers to a weak central body. Group of answer choices confederation bicameral state republic unitary state
Answers
A "confederation" is a system of government in which member states retain almost all of their sovereign authority and delegate limited powers to a weak central body.
In a confederation, the central government has limited authority and primarily serves as a coordinating body for the member states. The member states maintain a significant degree of independence and have the power to make decisions on matters that directly affect them.
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at what distance does a 100-w lightbulb produce the same intensity of light as a 75-w lightbulb produces 10 m away? (assume both have the same efficiency for converting electrical energy in the circuit into emitted electromagnetic energy.)
Answers
The 100-w lightbulb produces the same intensity of light as a 75-w lightbulb produces 10 m away at a distance of 4.0 m.
What is lightbulb?
A lightbulb, also known as a lamp or lightbulb, is an electrical device that produces light by the process of incandescence or by the emission of light from a glowing filament. It is one of the most common sources of artificial light used in residential, commercial, and industrial settings.
Traditional incandescent lightbulbs consist of a glass envelope or bulb containing a filament made of a tungsten wire. When an electric current passes through the filament, it heats up and becomes so hot that it emits visible light. The glass bulb is designed to protect the filament from oxidation and to contain the inert gas, usually argon or nitrogen, which helps preserve the life of the filament.
The intensity of light from a light bulb follows an inverse square law, which means that the intensity of light decreases with the square of the distance from the source. So, we can use the formula:
I1/I2 = (d2/d1)²
where I1 and I2 are the intensities of the light bulbs, d1 and d2 are the distances from the light bulbs, and we want to find the distance where I1 = I2.
Let's call the distance we want to find x. We can set up two equations:
I1 = 100 W / x²
I2 = 75 W / 10²
Setting I1 = I2 and solving for x:
100/x² = 75/10²
x² = (100*10²)/75
x = 4.0 m
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the density of air is 1.3 kg/m3 and the speed of sound in air is 340 m/s. the displacement amplitude of a tone with angular frequency 1300 rad/s is 2.0×10−8 m. what is the pressure amplitude?
Answers
The pressure amplitude of a sound wave can be calculated using the equation P = ρ * v * ω * A, where P is the pressure amplitude, ρ is the density of the medium, v is the speed of sound, ω is the angular frequency, and A is the displacement amplitude. The pressure amplitude of the tone is approximately 11.43 Pascals.
To calculate the pressure amplitude, we need to use the equation:
Pressure amplitude = Density x (speed of sound)^2 x displacement amplitude
First, we need to convert the angular frequency of 1300 rad/s to regular frequency in Hz. We can do this by dividing 1300 by 2π, which gives us a frequency of approximately 207.9 Hz.
Now, we can plug in the given values into the equation:
Pressure amplitude = 1.3 kg/m3 x (340 m/s)^2 x 2.0×10−8 m
Simplifying this, we get:
Pressure amplitude = 1.3 x 340 x 340 x 2.0×10−8
Pressure amplitude = 3.1912×10−3 Pa
Therefore, the pressure amplitude of the tone with an angular frequency of 1300 rad/s is approximately 3.1912×10−3 Pa.
The pressure amplitude is 3.1912×10−3 Pa.
The pressure amplitude of a sound wave can be calculated using the equation P = ρ * v * ω * A, where P is the pressure amplitude, ρ is the density of the medium, v is the speed of sound, ω is the angular frequency, and A is the displacement amplitude.
Given the density of air (ρ) as 1.3 kg/m³, the speed of sound in air (v) as 340 m/s, the angular frequency (ω) as 1300 rad/s, and the displacement amplitude (A) as 2.0×10⁻⁸ m, we can calculate the pressure amplitude.
P = (1.3 kg/m³) * (340 m/s) * (1300 rad/s) * (2.0×10⁻⁸ m)
P ≈ 11.43 Pa
The pressure amplitude of the tone is approximately 11.43 Pascals.
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A 70mm long blockhas cross-section of 50mm by 10mm the block is subjected to forces 60KN (tension) on the 50mm by 10mm face and 110KN (Compression) on the 70mm by 10mm face Determine the force to be applied on the 70mm by 50mm face such that there is no change in volume
Answers
Answer:
970 kN
Explanation:
The length of the block = 70 mm
The cross section of the block = 50 mm by 10 mm
The tension force applies to the 50 mm by 10 mm face, F₁ = 60 kN
The compression force applied to the 70 mm by 10 mm face, F₂ = 110 kN
By volumetric stress, we have that for there to be no change in volume, the total pressure applied by the given applied forces should be equal to the pressure removed by the added applied force
The pressure due to the force F₁ = 60 kN/(50 mm × 10 mm) = 120 MPa
The pressure due to the force F₂ = 110 kN/(70 mm × 10 mm) = 157.142857 MPa
The total pressure applied to the block, P = 120 MPa + 157.142857 MPa = 277.142857 MPa
The required force, F₃ = 277.142857 MPa × (70 mm × 50 mm) = 970 kN
A 50 kg skater pushes off from a wall with a force of 200 N. What is the skater's acceleration?
Answers
Answer:
Explanation:
mass (m) = 50 kg
Force (F) = 200 N
Acceleration (a)= ?
WE know
F = m * a
200 = 50 * a
a = 200 / 50
a = 4 m/s²
Hope it will help :)
Find the net charge of a system consisting of (a) electrons and protons or (b) 212 electrons and 165 protons.
Answers
(a) The net charge of a system consisting of electrons and protons depends on the number of each particle. Electrons have a negative charge (-1) while protons have a positive charge (+1). Therefore, if there are equal numbers of electrons and protons, the net charge will be zero since the negative and positive charges cancel out.
However, if there are more electrons than protons, the net charge will be negative, and if there are more protons than electrons, the net charge will be positive.
(b) To find the net charge of a system consisting of 212 electrons and 165 protons, we first need to calculate the total charge of each particle. The electrons have a total charge of -212, while the protons have a total charge of +165. To find the net charge, we simply add these two values together:
Net charge = -212 + 165
Net charge = -47
Therefore, the net charge of the system is -47.
Learn more about electrons here : brainly.com/question/12001116
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