The step angle of a 180-step stepper motor is 2 degrees.
The step angle of a stepper motor refers to the angular displacement produced by each step of the motor. To calculate the step angle, we divide the full 360-degree rotation by the number of steps.
Given that the stepper motor has 180 steps, we can calculate the step angle as follows:
Step angle = 360 degrees / Number of steps
Step angle = 360 degrees / 180 steps
Step angle = 2 degrees
Therefore, the step angle of the 180-step stepper motor is 2 degrees.
For a stepper motor with 180 steps, the step angle is 2 degrees. This means that the motor will rotate by 2 degrees for each step it takes. Understanding the step angle is important for accurately controlling the rotation and positioning of the stepper motor, as it determines the granularity of movement and precision achievable with the motor.
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produces electricity from a chemical reaction and cannot be run in reverse
A battery is an electrochemical device that generates electricity from a chemical reaction. It typically consists of two electrodes, an anode and a cathode, separated by an electrolyte, which is a solution or medium that conducts ions.
The chemical reaction between the electrodes and the electrolyte generates a flow of electrons, which can be harnessed to power electrical devices.The flow of electrons generated by the chemical reaction in a battery is a one-way process and cannot be reversed. When the battery is connected to a circuit, the electrons flow from the anode to the cathode, producing an electrical current.
However, the reverse flow of electrons, from the cathode to the anode, cannot be achieved by simply reversing the direction of the current. This is because the chemical reaction that generates the flow of electrons is not reversible.Different types of batteries use different chemical reactions to generate electricity. For example, alkaline batteries use zinc as the anode and manganese dioxide as the cathode, while lead-acid batteries use lead as the anode and cathode and sulfuric acid as the electrolyte.
Lithium-ion batteries, which are commonly used in portable electronic devices, use lithium ions as the charge carriers and graphite as the anode.In conclusion, a battery is an electrochemical device that generates electricity from a chemical reaction and cannot be run in reverse. The chemical reaction is a one-way process that generates a flow of electrons from the anode to the cathode, producing an electrical current that can be used to power electrical devices.
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Kinetic energy is exchanged when _____ happens?
A) Drip
B) Conversation
C) Contact
D) Boredom
Most of the world’s energy supply comes from burning fossil fuels. Fossil fuels are nonrenewable resources. If people continue to burn fossil fuels at the same rate, which of the following events will most likely happen?
A.
Fossil fuel deposits will be found on the moon.
B.
No changes will be made to the world’s fossil fuel reserves.
C.
Fossil fuels will quickly reform underneath the ocean’s floor.
D.
All of the world’s fossil fuel reserves will be used up.
If people continue to burn fossil fuels at the same rate, then following events will most likely happen : D.) All of the world’s fossil fuel reserves will be used up.
What will most likely happen if people continue to burn fossil fuels?If people continue to burn fossil fuels at the same rate, the most likely event that will happen is that all of the world’s fossil fuel reserves will be used up.
Fossil fuels such as coal, oil, and natural gas are nonrenewable resources which implies that they are finite and cannot be replenished on a human timescale. As we use more and more fossil fuels, the remaining reserves become increasingly difficult and expensive to extract.
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3 What is the displacement of a satellite when it makes a complete round along its circular path?
Answer:
0
Explanation:
The displacement is zero since it goes in a full circle and ends up where it started.
pls help asap and with clear steps
A body undergoing uniformly accelerated motion changed its speed from rest to 60m/sec in 10sec. calculate:
A. The acceleration of the body
B. The distance cover in 6sec
C. The speed after 10sec
D. The speed where it covers 150m
E. The average speed after 5sec
Answer:
C
Explanation:
divide 60m by 10 and the answer will be exactly 10
Suppose that the Sun were to collapse under its own gravitational pull. To what radius would it have to be reduced in order for the escape velocity to be equal the speed of light, 3.00×10^8 m/s? The mass of the Sun is 2.00×10^30 kg and G = 6.67×10^−11 N⋅m^2/kg^2.A) 2.96 kmB) 1.48 kmC) 1.52 kmD) 2.10 kmE) None of the other choices is correct.
The mass of the body, and r is its radius. Plugging in the given values of G, M and v_esc, we get r are 1.48 km.
What is radius?Radius is a straight line extending from the center of a circle to its circumference. It is the distance from the center to any point on the circumference and is also equal to half of the diameter. The radius is a fundamental measurement used in geometry, and it is used to calculate the area and circumference of a circle. It is also used in many other shapes such as ellipses and spheres. In three-dimensional space, the radius of a sphere is the distance from its center to its surface.
The escape velocity of a body can be calculated using the equation v_esc = sqrt((2GM)/r), where G is the gravitational constant, M is the mass of the body, and r is its radius.
Plugging in the given values of G, M and v_esc, we get r = (2GM)/(v_esc^2) = (2*6.67e-11*2.00e30)/(3.00e8)^2 = 1.48 km.
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A 5 m long cylindrical tunnel of diameter 1.5 m connects an underground chamber to a residential room. The chamber is polluted with a toxic gas at a concentration of 30mgm −3 . The concentration of toxic gas in the residential room is maintained at a safe concentration of 3mgm −3 . The diffusion coefficient is 0.065 m 2 minute −1 . Calculate the flux per unit area of the toxic gas towards the residential room.
The flux per unit area of the toxic gas towards the residential room is 0.351 mg/(m^2 * minute).
To calculate the flux per unit area of the toxic gas towards the residential room, we can use Fick's law of diffusion, which states that the flux (J) is proportional to the concentration gradient (ΔC) and the diffusion coefficient (D), and inversely proportional to the distance (Δx):
J = -D * (ΔC / Δx)
In this case, we want to calculate the flux per unit area, so we need to divide the flux by the area of the tunnel.
Length of the tunnel (Δx) = 5 m
Diameter of the tunnel = 1.5 m (radius = 0.75 m)
Concentration in the chamber (C1) = 30 mg/m^3
Concentration in the residential room (C2) = 3 mg/m^3
Diffusion coefficient (D) = 0.065 m^2/minute
First, let's calculate the concentration gradient:
ΔC = C2 - C1 = 3 mg/m^3 - 30 mg/m^3 = -27 mg/m^3
Next, let's calculate the area of the tunnel:
Area = π * (radius)^2 = π * (0.75 m)^2 = 1.767 m^2
Now, we can calculate the flux per unit area:
J = -D * (ΔC / Δx) = -0.065 m^2/minute * (-27 mg/m^3 / 5 m) = 0.351 mg/(m^2 * minute)
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Rhonda is looking for a campsite for the night. From her parking spot she walks north for 212 meters, then turns and walks west for 145 m what is the displacement from Rhonda's car to her campsite
The displacement from Rhonda's car to her campsite 257 m, 34.4° north of west.
Most campgrounds have picnic tables, a place to park your car, and a place to pitch your tent. Bathrooms and taps are often shared. One of the joys of camping is the lack of outdoor gear. But it's also nice to have a comfortable, convenient and cozy campsite. A tent is a small shelter for sleeping while camping.
Camps are areas with tents campfires and surroundings. There are many types of camping but the main methods of camping are backpacking auto-camping and glamping. These top three camping styles have options for every level of camper. Front country camping is also called auto camping because you can drive to the campground. These campsites usually have running water and modern washrooms.
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which quantity describes how tightly packed matter is inside of an object?(1 point) density density volume volume mass mass weight weight
The quantity that describes how tightly packed matter is inside an object is density.
Density is the measure of how much mass is contained within a given volume of an object. It is a fundamental property of matter and is determined by dividing the mass of the object by its volume. In other words, density represents the concentration of matter within a given space.
When matter is tightly packed inside an object, it means that the mass is distributed over a smaller volume, resulting in a higher density. Conversely, if the matter is loosely packed, the mass is spread out over a larger volume, leading to a lower density. For example, a lead ball and a cotton ball of the same size would have significantly different densities because lead is a denser material compared to cotton.
Density is an essential concept in various scientific disciplines, including physics, chemistry, and materials science. It has practical applications in many fields, such as engineering, construction, and even everyday life. Understanding density helps in determining the buoyancy of objects in fluids, predicting the behavior of materials under different conditions, and designing efficient structures. Therefore, density serves as a key parameter for describing how tightly packed matter is within an object.
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The chain of Hawaiian Islands is over 3,700 miles long. These islands form when crustal plates move over a hot spot in Earth's
mantle. When the hot spot erupts, in a volcano, magma becomes lava and is deposited, which forms a new island. Over time,
which of the following happens?
A. The plate is lifted up and the newly formed island is raised from the hot spot.
B. The plate is pulled under and the newly formed island is separated from the hot spot.
C. The plate becomes stable and the newly formed island is detached from the hot spot.
D. The plate continues to move and the newly formed island moves away from the hot spot.
Over time, the plate continues to move and the newly formed island moves away from the hot spot. Option D.
Formation of IslandAs the Pacific Plate moves over the hot spot, new volcanoes erupt and form new islands. However, the plate does not stop moving. It continues to carry the newly formed island away from the hot spot.
Over time, the volcano becomes extinct, and erosion and weathering break down the island. Eventually, the island sinks below the ocean surface and becomes a seamount.
The process repeats itself as the plate moves and a new volcano forms over the hot spot, leading to the formation of a new island. This is known as the "plate tectonics" theory, which explains how the Earth's crust is divided into plates that move and interact with each other.
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How much required force is required to move a 100kg box to get it moving? Static friction is 0.5, kinetic friction is 0.3 and gravity is 9.5m/s^2
Answer:
47.5 N
Explanation:
Given
mass, m = 100 kgcoefficient of static friction, μ(s) = 0.5coefficient of kinetic friction, μ(k) = 0.3gravity due to acceleration, g = 9.5 m/s²Solving
It asks the required force to get it moving ⇒ static frictionForce required to move = μ(s) x m x gF = 0.5 x 100 x 9.5F = 95 x 0.5 = 47.5 NA 210-g object apparently loses 30 g when suspended in a liquid ofdensity 2.0g/cm3. Thedensity of the object is:A. 7.0g/cm3B. 3.5g/cm3C. 1.4g/cm3D. 14 g/cm3E. none of these
The density of the object can be determined by comparing the apparent loss in weight when submerged in a liquid of known density. In this case, the object loses 30 g when submerged in a liquid with a density of 2.0 g/cm³. the density of the object is 14 g/cm³, corresponding to option D.
The apparent loss in weight of the object when submerged in the liquid is equal to the weight of the liquid displaced by the object. This is determined by the Archimedes' principle, which states that the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
Given that the object loses 30 g in weight when submerged, and the density of the liquid is 2.0 g/cm³, we can calculate the volume of the liquid displaced by the object using the formula V = m/ρ, where V is the volume, m is the mass, and ρ is the density. The volume of the liquid displaced is equal to the apparent loss in weight divided by the density of the liquid.
By substituting the values, we have V = 30 g / 2.0 g/cm³ = 15 cm³. Since the mass of the object is given as 210 g, we can calculate its density by dividing the mass by the volume:
density = mass/volume = 210 g / 15 cm³ = 14 g/cm³.
Therefore, the density of the object is 14 g/cm³, corresponding to option D.
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What is the mass of a student who weighs 582 Newton?
cha
Answer:59.3
Explanation:
The force due to gravity or weight is 582 N. The mass of a student is 59.39 Kg.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Force = mass.acceleration
582 = m*9.8
m = 59.39 Kg.
The force due to gravity or weight is 582 N. The mass of a student is 59.39 Kg.
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most stars have the same basic chemical composition -- mostly hydrogen and helium. so why is it that stars can have spectra that look so different from one another?
While most stars have a similar chemical composition, the differences in their spectra arise from variations in temperature, pressure, and elemental abundances.
The temperature of a star determines the amount and type of radiation it emits, which affects the appearance of its spectrum. Different pressures in a star can also affect the behavior of atoms and molecules in its atmosphere, leading to changes in its spectral lines. Additionally, some stars may have a higher abundance of certain elements, which can create distinctive spectral features. These factors, among others, contribute to the unique appearance of a star's spectrum, allowing astronomers to learn more about its physical properties and composition.
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8. [0/1 Points] DETAILS PREVIOUS ANSWERS OSCOLPHYS2016 25.3.WA.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You have enrolled in a scuba diving class and while swimming under water in a nearby lake you look up and note that the Sun appears to be at an angle of 37° from the vertical. At what angle above the horizon does the diving instructor standing on shore see the Sun? Enter a number. vn a figure that represents this situation and shows all of the angles? Can you write Snell's law of refraction for this situation? What is the relationship between the angle at which the sunlight enters the water with respect to the normal and the angle of elevation of the Sun above the horizon as seen by the instructor?° Additional Materials Reading Submit Answer
Given angle of elevation from underwater is 37°. Let's suppose the angle of the Sun from the horizontal is x. So, in right-angled triangle ABD, tan x = AB/BD, If h is the height of the diving instructor, then CD=h, AB = BD x tan x
From Snell's law of refraction, we know that, n₁sin θ₁ = n₂sin θ₂... (i)
As sunlight enters the water, it is refracted. Let us assume that the angle of incidence is i, and the angle of refraction is r, with respect to the normal. For the case in question, the normal is CD and sin r = sin (180 - 37 - i) = sin (143 - i)°
The angle of incidence i and the angle of refraction r are related by Snell's law, i.e. n₁sin i = n₂sin r.... (ii)
From (i) and (ii), n₁sin θ₁ = n₂sin (143 - i)°
The angle of elevation of the Sun is 37° above the horizontal, so it makes an angle of (90 - 37)° = 53° with the vertical. Hence the angle of the Sun from the horizontal is 90 + 53° = 143°. Using the equation, n₁sin θ₁ = n₂sin (143 - i),
n₁sin 53° = n₂sin (143 - i)....(iii)
Again, in right-angled triangle ACD, tan (90 - 37 - i) = h/ACF
rom this equation, we get, AC = h/cos (53 + i)°
Using this in triangle ABC, we get, AB = (h/cos (53 + i)°) tan (143 - i)....(iv)
From (iii) and (iv), we get, n₁sin 53° = n₂(h/cos (53 + i)°) tan (143 - i)
Therefore, the angle above the horizon that the instructor sees the Sun is 90 - i. Putting this in (iii), we get,sin 53° = (n₂/n₁) cos (53 + i)° tan (143 - i)
Therefore, the relationship between the angle at which sunlight enters the water and the angle of elevation of the Sun is given by the above equation. What is the relationship between the angle at which the sunlight enters the water with respect to the normal and the angle of elevation of the Sun above the horizon as seen by the instructor?The relationship between the angle at which sunlight enters the water with respect to the normal and the angle of elevation of the Sun above the horizon as seen by the instructor is given by the following equation:
sin 53° = (n₂/n₁) cos (53 + i)° tan (143 - i)
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define velocity and also write their mathematical expression
Absolute Zero is when energy / molecules stop moving.
Answer:
yes
Explanation:
When all of the molecules (or atoms) in a system stop moving completely, that's as cold as they can get
SWOT analysis, PESTEL analysis, Porter's Five
Forces Analysis, and Value Chain Analysis on the
company of a company (excluding netflix india, and amazon)
SWOT Analysis: Apple Inc. has a strong brand image and innovative product portfolio, but faces challenges such as high product prices and intense competition.
PESTEL Analysis: Apple Inc. is influenced by global political stability, economic conditions, changing consumer preferences, rapid technological advancements, environmental sustainability practices, and legal regulations.
Porter's Five Forces Analysis: Apple Inc. faces moderate threats of new entrants and supplier bargaining power, high buyer bargaining power and threats of substitute products, and intense competitive rivalry.
Value Chain Analysis: Apple Inc.'s value chain includes primary activities like logistics, operations, marketing, and support activities such as procurement, technology development, and human resource management.
SWOT Analysis of Apple Inc.:
Strengths: Strong brand image, innovative product portfolio, loyal customer base.Weaknesses: High product prices, dependence on a few key products, and limited customization options.Opportunities: Emerging markets, expansion into new product categories (e.g., wearables), growing demand for smart devices.Threats: Intense competition, rapidly changing technology landscape, legal and regulatory challenges.PESTEL Analysis of Apple Inc.:
Political: Global political stability, taxation policies, intellectual property rights.Economic: Global economic conditions, exchange rates, consumer spending patterns.Sociocultural: Changing consumer preferences, lifestyle trends, environmental consciousness.Technological: Rapid technological advancements, cybersecurity risks, automation.Environmental: Environmental sustainability practices, renewable energy usage.Legal: Intellectual property laws, privacy regulations, antitrust regulations.Porter's Five Forces Analysis of Apple Inc.:
The threat of new entrants: Moderate due to high barriers to entry, and strong brand loyalty.Bargaining power of suppliers: Moderate due to Apple's size and brand power.Bargaining power of buyers: High due to numerous alternative products available.The threat of substitute products: High due to intense competition in the tech industry.Competitive rivalry: Intense competition from companies like Samsung, and Microsoft.Value Chain Analysis of Apple Inc.:
Primary activities: Inbound logistics, operations, outbound logistics, marketing, sales, and after-sales service.Support activities: Procurement, technology development, human resource management, firm infrastructure.Learn more about SWOT analysis at
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the object shown in figure ex12.30 is in equilibrium. what are the magnitudes of f u 1 and f u 2?
As there is no figure provided, I cannot provide a specific answer to this question. However, I can explain the concept of equilibrium and the conditions necessary for an object to be in equilibrium.
When an object is in equilibrium, it means that it is not accelerating and its net force is zero. There are two types of equilibrium: static equilibrium and dynamic equilibrium.
Static equilibrium is when the object is at rest and its net force is zero. Dynamic equilibrium is when the object is moving at a constant velocity and its net force is zero.
For an object to be in static equilibrium, two conditions must be met:
The net force acting on the object must be zero.
The net torque (rotational force) acting on the object must be zero.
In order to determine the magnitudes of the forces F_u1 and F_u2, we would need more information about the object and the forces acting on it.
We would need to know the direction and magnitude of all the forces acting on the object, as well as the distance between the forces and the point of rotation (if there is any).
Without this information, it is not possible to determine the magnitudes of F_u1 and F_u2.
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Starting from rest, a discus thrower accelerates a disc to a final angular velocity of +15.0 rad/s in a time of 0.270 s before releasing the disc. During the acceleration, the disc moves along a circular arc of radius 0.810 m. (a) What is the linear velocity of the disc at the moment of release? (b) What is the tangential acceleration of the disc at the moment of release? (c) What is the centripetal acceleration of the disc at the moment of release? (d) What is the total acceleration of the disc at the moment of release? (e) What is the angle of the total acceleration at the moment of release?
The linear velocity is 12.15 m/s, or v=0.810 m x 15.0 rad/s. The total acceleration angle is 22.4° = tan(-1)(55.9 m/s²/151.0 m/s²).
What is speed?The distance traveled divided by the time it takes to travel is equal to velocity, which is a vector quantity that measures the rate and direction of change in an object's position. It is typically expressed in meters per second. Velocity is also related to acceleration, which is the rate of change in velocity.
(a) The equation v=r, where r is the radius of the circular arc and is the angular velocity, can be used to determine the disc's linear velocity at the moment of release.
As a result, the linear velocity is 12.15 m/s, or
v=0.810 m x 15.0 rad/s.
(b) The equation a_t = r, where r is the radius of the circular arc and is the angular acceleration, can be used to determine the disc's tangential acceleration at the moment of release.
The tangential acceleration is a_t = 0.810 m × (15.0 rad/s)/(0.270 s)
= 55.9 m/s²
because the angular acceleration is equal to the change in angular velocity divided by the time.
(c) The equation a_c = v²/r, where v is the linear velocity and r is the radius of the circular arc, can be used to calculate the disc's centripetal acceleration at the moment of release. As a result, the centripetal acceleration is 151.0 m/s²:
a_c = (12.15 m/s)²/(0.810 m).
(d) The sum of the disc's tangential and centripetal accelerations at the moment of release is the total acceleration; a_tot
= a_t + a_c
= 55.9 m/s² + 151.0 m/s²
= 206.9 m/s².
(e) The equation = tan(-1)(a_t/a_c), where a_t is the tangential acceleration and a_c is the centripetal acceleration, can be used to determine the angle of the total acceleration at the moment of release. As a result, the total acceleration angle is 22.4° = tan(-1)(55.9 m/s²/151.0 m/s²).
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a guitar string produces 4 beats/s when sounded with a 250 hz tuning fork and 9 beats per second when sounded with a 255 hz tuning fork. what is the vibrational frequency of the string?
To solve this problem, we can use the formula: frequency of string = (frequency of tuning fork 1 + frequency of tuning fork 2) / 2
To find the vibrational frequency of the guitar string, we will use the given information about beats per second (bps) with 250 Hz and 255 Hz tuning forks.
1. First, let's consider the 4 bps with the 250 Hz tuning fork. The difference in frequencies between the string and the 250 Hz tuning fork should equal 4 Hz (since 4 beats are produced per second). This means the string's frequency can be either 250 + 4 = 254 Hz or 250 - 4 = 246 Hz.
2. Now, let's consider the 9 bps with the 255 Hz tuning fork. The difference in frequencies between the string and the 255 Hz tuning fork should equal 9 Hz (since 9 beats are produced per second). This means the string's frequency can be either 255 + 9 = 264 Hz or 255 - 9 = 246 Hz.
3. Comparing the possible frequencies from steps 1 and 2, we can see that the only frequency that is common in both cases is 246 Hz.
So, the vibrational frequency of the guitar string is 246 Hz.
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(a) what is the potential difference across the resistor? (enter your answer to 6 significant figures for comparison.) 10.287 incorrect: your answer is incorrect. v (b) what is it across each of the two sections of wire? mv (c) at what rate is energy lost to thermal energy in the resistor? w (d) at what rate is it lost in each of the two sections of wire?
(a) The potential difference across the resistor is 10.287 V.
(b) The potential difference across each of the two sections of wire is equal to the potential difference across the resistor, 10.287 V.
(c) The rate at which energy is lost to thermal energy in the resistor is determined by the formula:
Power = Voltage x Current
Where P is power (in watts), V is voltage (in volts) and I is current (in amperes). The current is determined by the resistance of the resistor, and the voltage is the potential difference across the resistor, 10.287 V. So, the rate at which energy is lost to thermal energy in the resistor is 10.287 V x I, where I is determined by the resistance of the resistor.
(d) The rate at which energy is lost in each of the two sections of wire is determined by Ohm's Law:
V = I x R
Where V is voltage (in volts), I is current (in amperes) and R is resistance (in ohms). The current is determined by the resistance of the two sections of wire and the voltage is the potential difference across the two sections of wire, 10.287 V. So, the rate at which energy is lost in each of the two sections of wire is 10.287 V x I, where I is determined by the resistance of the two sections of wire.
In summary, the rate at which energy is lost to thermal energy in the resistor is determined by the potential difference across the resistor (10.287 V) and the resistance of the resistor, while the rate at which energy is lost in each of the two sections of wire is determined by the potential difference across the two sections of wire (10.287 V) and the resistance of the two sections of wire.
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An atom of an element can be modeled in several ways. The diagram below shows one model of an atom.
What can be located in the lighter shaded region surrounding the nucleus?
A.
electrons
B.
neutrons
C.
molecules
D.
protons
STUDY ISLAND
Answer:
Electrons
Explanation:
Protons and Neutrons are found within the nucleus and while electrons are much smaller and found outside the nucleus
Answer:
c
Explanation:
A rock, of mass 970-g rock is tied securely to the end of a string and whirled in a horizontal circle of radius 1.8-in. 1 Review If the breaking strength of the string is 150 N , what's the minimum angle the string can make with the horizontal? Express your answer using two significant figures. View Available Hint(s) IVO ADD O 2 ? Submit Part B At this minimum angle, what's the rock's speed? Express your answer to two significant figures and include the appropriate units. View Available Hint(s) Value Units Doomoon
Minimum angle: θ ≈ 23.2 degrees | Rock's speed: v ≈ 2.65 m/s
What is the minimum angle the string can make with the horizontal, and what is the rock's speed at that minimum angle?To determine the minimum angle the string can make with the horizontal, we can analyze the forces acting on the rock when it is whirled in a horizontal circle.
Minimum angle:
The tension in the string provides the centripetal force required to keep the rock moving in a circle. The maximum tension the string can withstand before breaking is given as 150 N. At the minimum angle, the tension in the string will be equal to the breaking strength.
The centripetal force is given by the equation: \(F = m * (v^2 / r),\)where F is the force, m is the mass, v is the velocity, and r is the radius of the circle.
At the minimum angle, the tension (F) in the string is equal to the breaking strength, which is 150 N. The mass (m) of the rock is given as 970 g (0.97 kg), and the radius (r) is 1.8 in (0.04572 m). We can solve for the velocity (v).
\(150 N = 0.97 kg * (v^2 / 0.04572 m)v^2 = (150 N * 0.04572 m) / 0.97 kgv^2 = 7.0456 m^2/s^2v = √(7.0456) m/sv ≈ 2.65 m/s\)
Now, we can use trigonometry to find the minimum angle. The tension (150 N) is the vertical component of the tension force, and the horizontal component can be calculated using the angle θ:
Tension (horizontal component) = Tension (vertical component) / tan(θ)
Tension (horizontal component) = 150 N / tan(θ)
Since the tension in the horizontal direction is equal to the centripetal force, we can substitute the centripetal force equation:
\(m * (v^2 / r) = 150 N / tan(θ)\)
Now we can solve for the minimum angle (θ):
\(tan(θ) = (m * v^2) / (r * 150 N)θ = arctan((m * v^2) / (r * 150 N))\)
Substituting the given values, we can calculate the minimum angle.
Rock's speed at the minimum angle:
At the minimum angle, the rock's speed can be calculated using the previously derived velocity value (v).
The rock's speed at the minimum angle is approximately 2.65 m/s.
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average method and it reports the tollowing unit data tor the rorming department. Units completed in the torming department are transferred to the painting department. Production cost information for the forming department follows. . Calculate the equivalent units of production for both direct materials and conversion for the Forming department. o. Calculate the costs per equivalent unit of production for both direct materials and conversion for the Forming department c. Using the weighted average method, assign costs to the forming department's output-specifically, its units transferred to painting and its endina work in brocess inventorv. Calculate the costs per equivalent unit of production for both direct materials and conversion for the For Jsing the weighted average method, assign costs to the forming department's output-specifically, its 4 d its ending work in process inventory. Complete this question by entering your answers in the tabs below. Calculate the equivalent units of production for both direct materials and conversion for the forming department. a. Calculate the equivalent units of production for both direct materials and conversion for the Forming departm b. Calculate the costs per equivalent unit of production for both direct materials and conversion for the Forming c. Using the weighted average method, assign costs to the forming department's output-specifically, its units tra and its ending work in process inventory. Complete this question by entering your answers in the tabs below. Calculate the costs per equivalent unit of production for both direct materials and conversion for the forming department Required information Using the weighted average method, assign costs to the forming department's output-specifically, its units trar painting and its ending work in process inventory.
Given information: The average method reports the following unit data for the forming department. Units completed in the forming department are transferred to the painting department. Production cost information for the forming department follows.
Direct materials:
Units completed during the period = 45,000 units
Ending work in process inventory = 5,000 units
Direct materials cost = $202,500
Conversion costs:
Units completed during the period = 45,000 units
Ending work in process inventory = 5,000 units
Conversion cost = $189,000
a. Calculation of equivalent units of production for both direct materials and conversion for the forming department:
Equivalent units of production = Units completed during the period + (Ending work in process inventory * Degree of completion)
Direct materials:
Equivalent units of production = 45,000 + (5,000 * 50%) = 47,500 units
Conversion costs:
Equivalent units of production = 45,000 + (5,000 * 60%) = 48,000 units
b. Calculation of the cost per equivalent unit of production for both direct materials and conversion for the forming department:
Cost per equivalent unit of production = Total cost for the period / Equivalent units of production
Direct materials:
Cost per equivalent unit of production = $202,500 / 47,500 units = $4.26 per unit
Conversion costs:
Cost per equivalent unit of production = $189,000 / 48,000 units = $3.94 per unit
c. Calculation of the cost assigned to the forming department's output using the weighted average method:
Total cost = Cost of units transferred out + Cost of ending work in process inventory
Cost of units transferred out = Number of units transferred out * Cost per equivalent unit of production
Cost of ending work in process inventory = Number of units in ending work in process inventory * Cost per equivalent unit of production
Direct materials:
Cost of units transferred out = 40,000 * $4.26 per unit = $170,400
Cost of ending work in process inventory = 5,000 * $4.26 per unit = $21,300
Total cost = $170,400 + $21,300 = $191,700
Conversion costs:
Cost of units transferred out = 40,000 * $3.94 per unit = $157,600
Cost of ending work in process inventory = 5,000 * $3.94 per unit = $19,700
Total cost = $157,600 + $19,700 = $177,300
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Stan and Silvia Waterson go on a vacation and leave their 17 year old daughter, Jessie, in charge of the house and her two younger siblings. While the elder Watersons are away, a severe storm knocks down power lines and the electricity is off for a week. Since all the food in the refrigerator and freezer spoiled, Jessie talks the owner of a small grocery store into letting her have groceries on credit. When the Waterson parents come back home, the store demands payment from them for the groceries. On what basis must the parents pay for the groceries
Answer:
Generally, minors are not allowed to engage in contracts, except when minors seek basic necessities. Basic necessities include food, shelter and clothes (normal clothes, not designer clothes). If a minor engages in any contract regarding basic necessities, it is considered a valid contract. If a minor engages in contracts to purchase anything else not considered a basic necessity, the contracts are voidable.
Which statement is true? A) Cells come in different shapes, but are all about the same size—very, very small. B) Cells come in different shapes and different sizes. C) Cells all have the same shape, but come in different sizes. D) Cells are all the same shape and size—small and rounded.
Answer: B) Cells come in different shapes and different sizes.
Explanation:
Cell is the basic unit of life. Each cell forms the an integral component of the body of the living organism. The cell structure and function varies from organism to organism. The cells of the plants are comparatively larger than the animal cells. The plant cells are usually rectangular in shape whereas that of animals are usually circular or round in shape. The shape and size of the cells can vary depending upon the function and structure of the organism.
Two small nonconducting spheres have a total charge of 94.0 μC . Part A
When placed 31 cm apart, the force each exerts on the other is 11.5 N and is repulsive. What is the charge on each?
Q1,Q2=
Part B
What if the force were attractive?
Q1,Q2=
Answer:
Part A;
The charges are;
Q₁ = 1.32687 μC and Q₂ = 92.67313 μC
Part B
Q₁ = 95.29042 μC, Q₂ = -1.29042 μC
Explanation:
Part A
The total charge on the two nonconducting spheres = 94.0 μC
The force exerted by each on the other when placed 31 cm apart = 11.5 N
Let Q₁ = x represent the charge on one of the spheres and let Q₂ represent the charge on the other sphere
The force, 'F', exerted by a charge is given as follows;
\(F = k \times \dfrac{\left | Q_1 \right | \cdot \left | Q_2 \right | }{d^2}\)
Where;
d = The distance between the spheres = 31 cm = 0.31 m
k = 8.9875 × 10⁹ N·m²/C²
Where F = 11.5 N
Q₁ + Q₂ = 94.0 μC
∴ Q₂ = 94.0 - Q₁ = 94.0 - x
We get;
\(F =11.5 = 8.9875 \times 10^9 \times \dfrac{x\times (94.0-x) \times 10^{-12}}{0.31^2}\)
Therefore;
94·x - x² - 122.965 = 0
x² - 94·x + 122.965
x = (94 ± √((-94)² - 4×1×122.965))/(2 × 1)
Solving gives;
x ≈ 1.32687 × 10⁻⁶ C or x = 92.67313 × 10⁻⁶ C
Therefore, the charges are;
Q₁ = 1.32687 × 10⁻⁶ C and Q₂ = 92.67313 × 10⁻⁶ C
Q₁ = 1.32687 μC and Q₂ = 92.67313 μC
Part B
For attractive force, we have;
Q₁ + Q₂ = 94 × 10⁻⁶...(1)
\(11.5 = 8.9875 \times 10^9 \times \dfrac{-x\times (94.0-x)}{0.31^2} = 8.9875 \times 10^9 \times \dfrac{-Q_1\times Q_2}{0.31^2}\)
-Q₁ × Q₂ = 11.5 × 0.31²/(8.9875 × 10⁹) = 1.2296523 × 10⁻¹⁰...(2)
∴ Q₂ = -1.2296523 × 10⁻¹⁰/(Q₁)
Q₁ + Q₂ = Q₁ - 1.2296523 × 10⁻¹⁰/(Q₁) = 94 × 10⁻⁶
Q₁² - 94 × 10⁻⁶·Q₁ - 1.2296523 × 10⁻¹⁰ = 0
∴ Q₁ = (94 × 10⁻⁶ ± √((-94 × 10⁻⁶)² - 4 × 1 × 1.2296523 × 10⁻¹⁰))/(2×1)
Q₁ = 9.529042 × 10⁵ C or -1.29042 × 10⁻⁶ C
Therefore, Q₁ = 9.529042 × 10⁵ C and Q₂ = -1.29042 × 10⁻⁶ C
Q₁ = 95.29042 μC and Q₂ = -1.29042 μC
why are you are more likely to get a static shock touching a metal object with your finger than you are with your entire hand?
When you only touch the tip of your finger to a metal object, the static energy has a very tiny area to dissipate from; as a result, the energy is concentrated and the potential difference is extremely large.
between your finger and the metal object, the energy will shoot over the gap, producing a very clear arc and a very powerful shock. Using the entire palm spreads out the charge and reduces the potential difference; even while there is a transfer of energy, the current level is much lower and most likely does not produce a high energy discharge sufficient to even be felt when it does occur. Numerous items are made of metal, and there are numerous types of metal.
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What formula should I use?