A spring of force constant 120 N/m acted up by a constant force of 240N. Then, the elastic potential energy stored in the spring is 240 Nm.
The elastic potential energy stored in the spring is formulated as follows
PE = ½kx²
Where PE is the elastic potential energy, x is the displacement of the spring from its equilibrium position, and k is the spring force constant.
In this question, the spring force constant is 120 N/m, and the constant force acting on the spring is 240 N. To find the spring displacement, we can use the formula:
F = kx
Where F is the force acting on the spring, x is the displacement, and k is the force constant,
So that:
F = kx
240 N = 120 N/m . x
x = 240 N/120 N/m
x = 2 m
Once x is known, then we can calculate the potential energy of the spring:
PE = ½kx²
PE = ½ (120) (2²)
PE = 60 x 40
PE = 240 Nm
So, the elastic potential energy stored in the spring is 240 Nm.
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Calculate (in MeV) the binding energy per nucleon for 14N.
Calculate (in MeV) the binding energy per nucleon for 56Fe.
Calculate (in MeV) the binding energy per nucleon for 207Pb.
The binding energy per nucleon for ¹⁴N is 7.48 MeV.
The binding energy per nucleon for ⁵⁶Fe is 8.79 MeV.
The binding energy per nucleon for ²⁰⁷Pb is 7.87 MeV.
The formula to calculate the mass defect for [tex]^A_Z X[/tex]
ΔM = (Z × mp) + (N × mn) - m
mp = mass of proton = 1.007825 umn = mass of neutron = 1.008665 um = mass of an atomic nucleusTo calculate the binding energy per nucleon
BE = (ΔM × 931.5 MeV) ÷ A
For [tex]^{14}_7 N[/tex]
A = 14Z = 7N = A - Z = 14 - 7 = 7mass of nitrogen nucleus = 14.00307 uThe mass defectFor [tex]^{56}_{26} Fe[/tex]
A = 56Z = 26N = A - Z = 56 - 26 = 30mass of iron nucleus = 55.934939 uThe mass defectFor [tex]^{207}_{82} Pb[/tex]
A = 207Z = 82N = A - Z = 207 - 82 = 125mass of lead nucleus = 206.975880 uThe mass defectLearn more about binding energy here: https://brainly.com/question/15582431
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a mass-less spring of length 31 cm is laid out on a table, with the left side firmly attached to a support, and a mass of 1 kg attached to the right end. the value of the spring constant is 164 n/m. the mass is pulled by a distance 6 cm to the right, and released. the table is friction-less, and the spring-mass executes simple harmonic motion. how many complete vibrations will the mass undergo in a time 60 s. round your answer to the nearest whole number
The number of vibrations are 122
as per the question given,
the length of the mass less string (l) is 31cm
a mass attached to the right end of spring (m) is 1kg
the value of the spring constant is (k) is 164 n/m
the mass is pulled by a distance (d) is 3cm
time (t) is 60s
the time period of the mass-less spring system is
[tex]T=2\pi \sqrt{\frac{m}{k} }[/tex] ----(1)
where
the value of (m) is 1kg
the value of spring constant (k) is 164 n/m
let the value of [tex]\pi[/tex] is 3.14
now substitute the values in the time period equation
[tex]T=2\pi \sqrt{\frac{1}{164} }[/tex]
=> [tex]T= 2\times (3.14) \sqrt{\frac{1}{164} }[/tex]
=> T = [tex]2\times (3.14) \times 0.07803[/tex]
=> T =0.49002
the time period T is 0.49002,
therefore the number of oscillations in 60s is
n = time/Time period
[tex]n=\frac{60}{T}[/tex]
=>n = [tex]\frac{60}{0.49002}[/tex]
=> n= 122.43
=> n = 122
the number of vibrations are 122
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When a light of wavelength 400nm falls on the metal of work function 2.5 eV What will be the maximum magnitude of linear momentum of emitted photoelectron?
The maximum magnitude of linear momentum of emitted photoelectron is 4.12 1025 kg/s.
The photoelectron spectrum is created by analyzing the spectrum of energies that are present in the electrons produced when an intense photon of radiation strikes a molecule. These electrons are referred to as photoelectrons.
The incident photon's energy is given by
E = 1240 / λ ev,
= 1240 / 400,
= 3.1 eV.
W = 2.5 eV is the work function.
Therefore, the electron's maximal energy will be given by
KE = E-W
= 3.1 eV - 2.5 eV
= 0.6 eV = 0.6 1.6 10⁻¹⁹ Joule.
The greatest possible linear momentum is given by p = √2m.
KE is equal to √(2 9.1 1031 kg 0.96 10⁻¹⁹) joules = 4.12 1025 kg/s.
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What are the 3 types of genetics?
Single-gene, chromosomal, and multifactorial genetic illnesses can be grouped into these three main categories.
What three genetic principles underlie evolution?Three factors lead to evolution through natural selection: variation among individuals within a species, heritable variation, and an overpopulation of organisms relative to available resources.
What is genetics, and why is it significant?The role that certain genes or gene families play in health and disease is the primary focus of genetic study. Understanding genetic influences and genetic anomalies is necessary to advance health promotion and disease prevention. The study of genetics covers how a person inherits traits from their parents. It explains how features that are straightforward like eye color or complex like disease vulnerability run in families.
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consider the drawings of charges and electric field lines shown.
From the given diagrams, we can tell options b, c, d, f, and g are the correct options. Because they are an incorrect depiction of the electric field line.
In a certain area of space, electric field lines provide details on the direction (and intensity) of an electric field. At a particular position, a field line is drawn perpendicular to the net. Therefore, the tangent to the electric field line at any place coincides with the direction of the electric field there.
To ascertain the electric field of a point charge, apply Coulomb's law. From the point charge, the electric field radiates in all directions. Always pointing away from positive charges and toward negative charges are electric field lines. In actuality, positive charges initiate electric fields, which terminate at negative charges. Field lines never cross each other, as well. If they do, it indicates that there are two directions to the electric field there.
Here, options a and e are correct depictions of field lines for a point charge.
in option b, the field line extends from the negative charge rather than the positive chargein option c, most of the field line emerges on the right side than the left sidein option d, the line reaches the positive charge instead of the negative chargein option f, the lines are intersectingin option g, the line forms a loopThe complete question is -
Consider the drawings of charges and electric field lines shown. Which of the electric field line drawings are incorrect for point charges?
a), b), c), d), e), f), g)
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The illustration below shows the forces on an automobile as it moves. If the drag force is equal to the applied force, which of the following describes the motion of the automobile?
The car's magnitude of velocity will decrease if the applied force is balanced out by the drag force.
What are the motion of an object's speed and direction?An object's velocity, as opposed to its speed, describes how quickly it goes in both directions. Velocity in physics is the rate of movement in a specific direction.
Why is force equivalent to Ma?The force acting on an object is equal to its mass times its acceleration, or Newton's second law, which is sometimes expressed as F=ma (a). Therefore, more force is required to accelerate an object with more mass. And the acceleration of an item increases with force.
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The complete question is :
The illustration below shows the forces on an automobile as it moves. If the drag force is equal to the applied force, which of the following describes the motion of the automobile?
A. The car's magnitude of velocity will increase
B- The car's magnitude of velocity will decrease
C. The car's magnitude of acceleration will increase
D. The car's magnitude of acceleration will decrease
what quantities in your calculation for standing wave frequencies would change by the addition of a small amount of weight to the mass hanger? if your standing wave goes away from this added mass, how would you restore it?
The fundamental frequency, which is also known as the instrument's first harmonic, is the lowest pitch that every instrument can play.
Is the lowest frequency the first harmonic?The fundamental frequency is the lowest frequency that can be produced by a certain instrument.A first harmonic of a instrument is another name for the fundamental frequency.
What frequency is the first harmonic?The fundamental frequency is another name for the first harmonic.It is the frequency's lowest attainable value.Simply said, the term "first harmonic" refers to a wave that consists of simply two nodes and an antinode.
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a modern state-of-the-art biomass power plant with heat recovery feature has the capacity to combust up to 1.4 x 106 kg/day of pellets to generate energy. the pellets have an average lhv of 18.1 mj/kg and hhv of 19.1 mj/kg. with a capacity factor of 57% and conversion efficiency of 38%, how much energy does this plant generate on an annual basis?
Energy in terms of Joules = 1956.50 GJ is the answer.
Energy generation by the Power plant (on annual basis) is given as: -
A. When heat recovery feature is Present
E = (M * HHV * C * ηc * 365) / 3600 watt – hr ------------- equation (i)
B. When heat recovery feature is not present
E = (M * LHV * C * ηc * 365) / 3600 watt – hr ------------- equation (ii)
Here,
M = Mass of Pellets consumed per day (Kg/day)
HHV = Higher Heating Value of Biomass (J/Kg)
LHV = Lower Heating Value of Biomass (J/Kg)
C = Capacity factor {Plant running this % time in a day}
ηc = Conversion efficiency
Joule to watt – hr conversion factor
1 Joule = 1 /3600 watt – hr
Given:
M = 1.3 * 106 Kg/day;
HHV = 19.9 * 106 J/Kg;
LHV = 17.4 * 106 J/Kg
C = 56% = 0.56
ηc = 37% = 0.37
Heating Recovery feature ---> Present
As heating recovery feature is present so eq. 1 will be used
Now, putting corresponding given values in Eq. 1 to get the value of E.
E = (M * HHV * C * ηc * 365) / 3600
E = (1.3 * 106 * 19.9 * 106 * 0.56 * 0.37 * 365) / 3600
E = (1956.496 * 1012) / 3600
E = 543.47 Gwh
Energy in terms of Joules = 543.47 * 3600
Energy in terms of Joules = 1956.50 GJ
Energy Generation (E) by the power plant (on annual basis) = 543.47 Gwh (Giga Watt – hour)
Energy Generation (E) by the power plant (on annual basis) = 1956.50 GJ (Giga Joule)
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a proton located at the origin is accelerated in the -y direction for a brief time.(a) how much time passes before a detector located at <0.2, 0, 0> m detects a radiative electric field? s(b) what is the direction of the radiative electric field observed at this location?---select---(c) if the accelerated particle had been an electron instead of a proton, what would have been the direction of the radiative electric field at this location?---select---
The x axis supports a proton and an electron. At x = -d, the proton is located, while at x = +d, the electron.
What does a proton and electron collectively mean?One of the three main types of particles within an atom is an electron that is bonded to it; the other two are protons and neutrons. The nucleus of an atom is made up of electrons, protons, and neutrons together. The positive charge of a proton balances the negative charge of an electron.
What is electron and proton with example?Electrons are incredibly light, negatively charged particles. These electrons move in distinct orbits around the nucleus. (ii) Protons have a mass of roughly 1 amu and are positively charged particles. These positively charged particles can be found in the nucleus, which sits in the center of the atom.
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Scientists claim that quantum theory proves consciousness moves to another universe at death
a. Trueb. False
The Quantum theory doesn't prove that consciousness moves to another universe at death. So, the statement is b) false.
The quantum theory of consciousness argued that the brain's nervous system forms a complex network of consciousness that it produces and should follow the rules of quantum mechanics, the theory that governs how tiny particles like electrons move. They argue that this can explain the mysterious complexity of human consciousness. The idea that quantum effects are necessary for consciousness to function is still in the realm of philosophy. Penrose suggests that it is necessary, but other theories of consciousness do not. argued that it should obey the rules of quantum mechanics and quantum theory.
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How do you measure the strength of a magnet?
Measurements of magnet strength can be made in a variety of ways, depending on which is most practical for a given application. Here are a few popular units for measuring magnet strength.
Different methods to measure strength of magnet?1. Tesla
The unit of magnetic force denoted by the letter T is called a tesla. It describes the residual flux density, or the density of a magnetic field.
There are numerous methods to define a tesla in terms of other scientific units of measurement. For instance:
T = kg / (A * s2)
2. Gauss
A magnet is frequently made magnetic by the application of an external magnetic force. The magnetic force that remains in the magnet after the removal of the external force is referred to as remanence.
3. Oersted
Oersteds (Oe), are units used to quantify resistance to demagnetization or coercivity.
4. kilograms
Magnet pull strength is measured in kilograms in terms of magnetism.
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in the earth's magnetic field experiment, you plotted a graph of frequency squared versus the current in the coils. these two quantities were related by if the linear regression provides a slope of 55.2 and a y-intercept of 0.79, what is your experimental value for the earth's magnetic field? format of answer:
Your experimental value for the earth's magnetic field Be = 1.43nT is the correct answer.
What is Earth’s magnetic field?Earth's magnetic field is a naturally occurring, complex force field that surrounds the planet. It is generated by the Earth's core, which is composed of iron and nickel, and is responsible for protecting the Earth from charged particles and other cosmic radiation. The magnetic field is constantly changing and is believed to be generated by the movement of molten metals in the Earth's outer core. This movement creates electric currents which generate the magnetic field.
Given equation by which the given quantities are related by
f2 = (µk/4π2m) I + (µk/4[tex]\pi ^{2}[/tex]m) Be
Here,
Slope = µk/4[tex]\pi ^{2}[/tex]m
µk/4π2m = 56.6
For y – intercept
(µk/4π2m) Be = 0.81
(56.6/K) Be = 0.81
Be = (0.81/56.6) K
Here,
K = [tex]10^{-7}[/tex] N/m
Thus,
Be = (0.81/56.6)[tex]10^{-7}[/tex]
Be = 1.43nT
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Water has a density of 1g/cm³. Describe qn investigation that could test whether a material has a density less then, greater than, or equal to water and identify the independent and dependent variables
An investigation that could test whether a material has a density less than, greater than, or equal to water will involve placing the material in a given volume of water in a beaker and observing whether the material will float or sink in water.
the independent variable is the volume of water
The dependent variable is the density of the material
What is the density of a substance?The density of a substance is the ratio of the mass of the substance to the volume of the substance.
Mathematically;
Density = mass / volume
To determine the density of a substance, the density of that substance is compared to that of water.
A substance that has a density less than water will float in water.
A substance that has a density greater than water will sink in water.
A substance that has a density equal to water will just float in water.
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What is conflict management in scrum?
The employment of tactics to settle disputes or reduce tension is known as conflict management.
In order to identify the issue, explore solutions, and develop overarching goals that call for cooperation from the disputing parties, conflict resolution approaches involve hosting meetings for the disputing parties. Knowing how to recognize problems and handle them in a reasonable, equitable, and effective manner is the practice of conflict management. It is the process of resolving (seen) conflicts or differences resulting from, for instance, different ideas, goals, and wants. Team members employ conflict management strategies to resolve any disputes that develop throughout a Scrum project. This method of handling conflicts is frequently competitive and usually ends in a Win-Lose situation. The team needs to be led by the scrum master, who must convey to them that conflict is a regular issue in the workplace and can be managed by taking an assertive stance. The team's leader is responsible for making sure that the team members' concerns are understood and addressed.
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What does +2 mean on an ion?
+2 charge on an ion means the given ion has 2 extra electrons.
In chemistry,
We often use symbols like plus (+) and minus (-) which is usually written in the superscript of the ions.
As + is given when the given ions have extra electrons.
As we know,
Every atom/ ion needs to complete an octet in its outermost orbit for becoming stable.
So, if in any of the ion +2 is written it means that the given ions have 2 extra electrons present in their outermost orbit and once the ion release those 2 extra electrons it becomes cationic in nature.
Similarly, if -2 is written it means that the given ions have 2 deficit electrons in their outermost orbit, so for becoming cationic the ions need 2 electrons.
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we give 65 joules as heat to a gas, which then expands isobarically. the gas molecules rotate but do not oscillate. by how much does the internal energy of the gas increase
ΔEint = 46.42 J is the correct answer.
According to the Kinetic Molecular Theory of Gases,
Referring to equation , we have
ΔEint=nCVΔT= 5/2nRΔT
Q=nCPΔT = 7/2nRΔT
Dividing the equations, we obtain
ΔEint/Q = 5/7
Thus, the given value Q=65 J leads to ΔEint = 46.42 J
What is Kinetic Theory?
1) Gases are made up of a lot of tiny particles spaced far away from one another.
2) The gas molecules clash elastically with the container wall as well as with one another.
3) Gas molecules have kinetic energy and are constantly moving randomly.
4) The attraction between gas molecules is extremely weak and is regarded as negligible.
5) The average kinetic energy of gas molecules is precisely proportional to the temperature of the gas.
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A change of phase takes place at a constant?
a. heat.
b. volume.
c. temperature
d. pressure.
"A change of phase takes place at a constant temperature."
A substance changing its phase by a physical process is called a phase change. The shift often happens when heat is applied or removed at a specific temperature, also referred to as the substance's melting or boiling point.
Both when the system receives enough energy and when the pressure on the system changes, these changes take place.
The energy that is given during a change in the state of matter is used to alter the binding energies rather than boost the kinetic energy of the molecules. As a result, the temperature doesn't change.
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Vector A⃗ has magnitude 8.00 m and is in the xy-plane at an angle of 127° counterclockwise from the +x–axis (37˚ past the +y-axis). What are the magnitude and direction of vector B⃗ if the sum A⃗+B⃗ is in the −y-direction and has magnitude 12.0 m? Show bothvectors’ components in the xy-plane.
293.7 degrees in a clockwise motion from the plus x-axis.
A=8 sin(37)i - 8 cos(37)j
A + B = -12 j
B = an I + b j, where and are constants that need to be determined.
A and B are equal to (a - 8 sin (37))i and (8cos(37) + b). j - 12 j = (8cos(37) + b) + (a - 8 sin (37)) I
Coefficients of I and j are compared.
B = 4.81452 I - 18.38908 j, or the fourth quadrant, from the equations a = 8 sin (37) = 4.81452 m and b = -12 - 8cos(37) = -18.38908.
In light of this, cos (Q) = 4.81452 / 12 Q = 66.346 degrees.
From the plus x-axis in the CCW direction, 360 - Q = 293.65 degrees.
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Which of the following planets or moons has an atmosphere consisting mainly of hydrogen and helium with some methane?
A) Venus B) Saturn C) Titan D) Uranus
Answer:
It is D) Uranus
a a 10000 kg train was moving with 48m/s then starts decelerate with constant rate to stop on its stationary that is found 192m away so the train slides through this distance and stops. determine the acceleration of the train
Answer:
a = 6 m/s^2
Explanation:
Suvat equation is applied
s = 192m
v (final velocity) = 0
u (initial velocity) = 48
a = ?
So,
v^2 = u^2 + 2as
(0)^2 = (48)^2 + 2a(192)
-2304 / 384 = a
a = 6 m/s^2
(negative sign is ignored as it asked as acceleration not deceleration)
I hope my answer helps you
How did the sonar impact ww1?
Submarines were located during World War I by listening for their engines or propellers. The sonar operator wore a straightforward two-earphone (air tube) equipment, and by mechanically turning the receiver, could detect the direction from whence the sound originated.
When did sonar enter World War 1?
To combat the rising threat of submarine warfare, it was developed during World War I, and by 1918, a functioning passive sonar system was in use.
Who made sonar in World War One?
In order to find icebergs, Lewis Nixon created the first Sonar-style listening apparatus in 1906. The requirement to be able to detect submarines during World War I led to an upsurge in interest in sonar.
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which of the following graphs best represents the gravitational force between two point masses as a function of the distance between the masses?
Graph 3 represents the correct graph between the gravitational force and two point masses.
Let the gravitation force is taken as F and the distance between two point masses is taken as r.
We know the relation between the force, two point masses and distance between masses as,
F = (G m₁ m₂)/r²
where, G is the gravitational constant
m₁ and m₂ two point masses
r is the distance between them
From the above relation, it is clear that, F is inversely proportional to r².
So, when F increases, r² decreases.
The downward hyperbolic graph represented in graph 3 correctly represents the relation between gravitational force and two point masses.
The question is incomplete. the complete question contains various graphs between gravitational force and distance between masses. They are attached in the attachment below.
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What might happen if hydrogen ions can easily diffuse through the inner membrane without the aid of carrier proteins?
Hydrogen ions not only move across membranes, but also diffuse through channels in specialized enzymes called ATP synthases.
ATP synthase is a protein that catalyzes the formation of the energy storage molecule adenosine triphosphate (ATP) using adenosine diphosphate (ADP) and inorganic phosphate (Pi).
Hydrogen ions are transported across the thylakoid membrane.Energy is absorbed from sunlight. NADPH is formed when electrons are added to NADP+. Hydrogen ions diffuse through protein channels.Small nonpolar molecules can readily diffuse through cell membranes. However, due to the hydrophobicity of the lipids that make up cell membranes, polar molecules (like water) and ions cannot. Instead, they diffuse across membranes via transport proteins. Transfer of hydrogen ions by ATP synthase coupled with phosphorylation of ADP to form
ATP.
Therefore, if hydrogen ions can diffuse through the inner membrane without the aid of a carrier protein, they will diffuse through ATP synthase.
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FILL IN THE BLANK. A set of points in the xy-plane is the graph of a function if and only if every ______ line intersects the graph in at most one point.
"A set of points in the xy - plane is the graph of a function if and only if every vertical line intersects the graph in at most one point."
A line that is perpendicular to the surface is the vertical line. In coordinate geometry, the vertical lines are frequently parallel to the y-axis, perpendicular to the horizontal lines, and vice versa. A vertical line is any straight line that passes from top to bottom or from bottom to top.
The vertical lines are sometimes known as standing lines. Normally, we connect the bases of a square or a rectangle using vertical lines. In our daily lives, we encounter vertical lines in the form of fence bars made of steel, tall trees that stand straight up, table legs, etc. Let's explore it further with a few concrete instances.
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Work out the current flowing when charge is transferred at a rate of:
a) 4.5 C every second
b) 192 C per minute
c) 16.56 kC an hour
d) 1.8 C every 0.6 s
e) 3.2 C every 1.6 s
f) 33.8 C every 2.6 s
g) 147.2 C every 23 s
h) 7920 C every 15 minutes
i) 900 C every half an hour
The current flowing when the charge is transfered at different rates are:
A. 4.5 A4.5 A
B. 3.2 A
C. 4.6 A
D. 3 A
E. 2 A
F. 13 A
G. 6.4 A
H. 8.8 A
I. 0.5 A
How do I determine the current?We know that charge, current and time are related by the following formula:
Charge (Q) = Electric current (I) × time (t)
Q = It
Divide by t
I = Q / t
With the above formula, we can obtain the current. Details below:
A. How do I determine the current?
Charge (Q) = 4.5 CTime (t) = 1 sCurrent (I) = ?I = Q / t
I = 4.5 / 1
I = 4.5 A
B. How do I determine the current?
Charge (Q) = 192 CTime (t) = 1 min = 60 sCurrent (I) = ?I = Q / t
I = 192 / 60
I = 3.2 A
C. How do I determine the current?
Charge (Q) = 16.56 KC = 16.56 × 1000 = 16560 CTime (t) = 1 h = 1 × 60 × 60 = 3600 sCurrent (I) = ?I = Q / t
I = 16560 / 3600
I = 4.6 A
D. How do I determine the current?
Charge (Q) = 1.8 CTime (t) = 0.6 sCurrent (I) = ?I = Q / t
I = 1.8 / 0.6
I = 3 A
E. How do I determine the current?
Charge (Q) = 3.2 CTime (t) = 1.6 sCurrent (I) = ?I = Q / t
I = 3.2 / 1.6
I = 2 A
F. How do I determine the current?
Charge (Q) = 33.8 CTime (t) = 2.6 sCurrent (I) = ?I = Q / t
I = 33.8 / 2.6
I = 13 A
G. How do I determine the current?
Charge (Q) = 147.2 CTime (t) = 2.6 sCurrent (I) = ?I = Q / t
I = 147.2 / 23
I = 6.4 A
H. How do I determine the current?
Charge (Q) = 7920 CTime (t) = 15 mins = 15 × 60 = 900 sCurrent (I) = ?I = Q / t
I = 7920 / 900
I = 8.8 A
I. How do I determine the current?
Charge (Q) = 7920 C
Time (t) = half hour = 30 mins = 30 × 60 = 1800 s
Current (I) = ?
I = Q / t
I = 900 / 1800
I = 0.5 A
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which has more energy, light with a wavelength of 580 nm or light with a wavelength of 660 nm?
There is more energy with the light of wavelength 580 nm compared to 660nm as energy is inversely related to wavelength.
The energy of a radiation type is inversely proportional to its wavelength. This means energy increases with decreases in wavelength, and energy decreases with increases in wavelength. The relation between energy, wavelength, and frequency is shown by the equation E = hν = hc/λ.
where
E = energy,
h = Planck's constant,
ν = frequency,
c = the speed of light,
and λ = wavelength of the wave
Wavelength is defined as the distance measured between two adjacent crests or two adjacent troughs of a wave cycle.
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A pendulum consists of a small object of mass M and width d attached to a string of length L. In an experiment, the pendulum is pulled back so that the string makes an angle θ with the vertical and is released from rest. The object's path is shown by the dashed arc, and its velocity is determined by measuring the time t it takes the object to pass through a photogate located at the lowest point in the path. The speed v is then calculated by dividing d by t. Given θ and L, the object's kinetic and potential energies are calculated and compared. Which of the following sources of experimental error could cause the calculated kinetic energy of the object at the bottom of the path to be larger than the calculated value for the change in gravitational potential energy of the object-Earth system as the object moves from its release point to the lowest point in its path?
A) The measurement of L is larger than the actual value.
B) The measurement of θ is larger than the actual value.
C) Air resistance is ignored.
D) The measurement of d is larger than the actual value.
E) The measurement of M is larger than the actual value.
The source of experimental error that could cause the calculated kinetic energy of the object at the bottom of the path to be larger than the calculated value for the change in gravitational potential energy of the object-Earth system as the object moves from its release point to the lowest point in its path is "The measurement of d is larger than the actual value".
option D is the correct answer.
What is the kinetic energy of an object?
The kinetic energy of an object is the energy possessed by the object due to the motion of the object at a given time period.
Mathematically, the formula for kinetic energy of an object is given as;
K.E = ¹/₂mv²
Where;
m is the mass of the objectv is the speed of the objectFrom the equation given above, the kinetic energy of an object depends on the mass and velocity of the object.
If the speed v of the object is then calculated by dividing d by t, then error is from the speed calculated, and implies that the main error is the width d, from which the speed is calculated.
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Describe how the gravitational pull of Earth influences the way matter behaves on Earth's surface.
Then, explain how this gravitational pull changes Earth's surface during earthquakes, landslides or mudslides, and floods.
3Points:
Your answer should include at least three complete sentences.
Be sure to check your grammar and spelling.
The gravitational pull of Earth influences the way matter behaves on Earth's surface by pulling objects towards the center of the planet.
Does your gravitational pull influence the Earth?This force is what gives objects their weight and allows them to retain their shape. It also determines the way in which objects move, such as how they fall to the ground when dropped.The gravitational pull of Earth can change the surface of the planet during earthquakes, landslides or mudslides, and floods. During an earthquake, the ground can shake and shift, causing buildings and other structures to collapse and creating cracks and fissures in the earth's surface.Landslides and mudslides are caused by heavy rain or other forms of precipitation, which can cause the ground to become unstable and give way, resulting in large masses of earth and debris moving down slopes and hillsides. Floods can also change the surface of the earth by moving large amounts of water across the land, which can erode the ground and alter the shape of the landscape.To learn more about gravitational force refer :
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in a series lrc circuit, the frequency at which the circuit is at resonance is f subscript 0 . if you double the resistance, the inductance, the capacitance, and the voltage amplitude of the ac source, what is the new resonance frequency?
The resonant frequency of the circuit is [tex]fo/2[/tex]
as given in the question,
in a series L-R-C circuit
the frequency of the circuit is at resonance
so it is f subscript o
the resistance of the circuit is doubled
where the inductance and capacitance and the voltage amplitude is of the AC source.
the inductance of the circuit (L) is 2L
the capacitance of the circuit (C) is 2C
Resonant frequency is the oscillation of the circuit in its natural state.
[tex]f=\frac{1}{2\pi \sqrt{LC} }[/tex]
where
L is the inductance of the circuit
C is the capacitance of the circuit
[tex]fo[/tex] is the resonant frequency
therefore
by the angular frequency formula
w=[tex]2\pi f[/tex]
=> [tex]f = \frac{w}{2\pi }[/tex]
now
[tex]f=\frac{1}{2\pi \sqrt{LC} }[/tex]
by placing the new values of L and C
[tex]f=\frac{1}{2\pi \sqrt{(LC)} }[/tex]
=> f = [tex]\frac{1}{2\pi \sqrt{(2L2C)} }[/tex]
=> f = [tex]\frac{1}{2\pi \sqrt{(LC)} } \frac{1}{2}[/tex]
=>f = [tex]\frac{1}{2} \times (fo)[/tex]
=> f= [tex]fo/2[/tex]
therefore by this we can say that
the resonant frequency is [tex]\frac{fo}{2}[/tex]
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how did our solar system begin to form? a large cloud of dust and gas began to contract under the force of gravity. a large cloud of dust and gas began to contract under the force of magnetism. a large cloud of dust and gas began to expand under the force of gravity. a large cloud of dust and gas began to expand under the force of magnetism.
The cause of our solar system beginning to form is A: "a large cloud of dust and gas began to contract under the force of gravity."
Our solar system evolved from a dense cloud of interstellar gas and dust some 4.6 billion years ago. The cloud collapsed, probably as a result of the shockwave from a nearby exploding star known as a supernova. When this dust cloud collapsed, it created a solar nebula, which is a spinning, swirling disc of material.
It means that the formation of our solar system began around 4.6 billion years ago with the gravitational collapse of a small part of a larger molecular cloud.
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