It is proved for gravitational radius that Rg=GMs/c^2 .
Given,
The mass of sun = Ms
Sphere of radius = Rg
Sun collapses to a sphere such that the work required to remove a small mass (m) from the surface would be equal to its rest energy mc^2 .
The given radius (Rg) is called as gravitational radius for sun.
We know,
gravitational potential energy Ug = G ×Ms×m/Rg
given, the rest energy, E =mc^2
As it is given that work required to remove small mass is equal to rest energy,
thus, Ug=E
G×Ms×m/Rg = mc^2
Rg =GMs/c^2
Hence, it is proved for gravitational radius that Rg=GMs/c^2 .
What is gravitational potential energy?Total work done in assembling bodies together,in their respective places, is called gravitational potential energy of the system.
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how high would the atmosphere extend if it were of uniform density throughout. equal to half the present density at sea level?
The height the atmosphere would extend is 16,218.5 m.
What is air pressure at sea level?
The standard atmospheric pressure at sea level has a magnitude of 101,325 N/m².
Pa = ρgh
where;
Pa is the atmospheric pressure = 101,325 Paρ is density of air = 1.275 kg/m³h is height = ?g is acceleration due to gravity = 9.8 m/s²when the density of air is half, ρ = 0.5ρ
Pa = (0.5ρ)gh
h = Pa/(0.5ρg)
h = (101,325) / (0.5 x 1.275 x 9.8)
h = 16,218.5 m
Thus, the height the atmosphere would extend is 16,218.5 m.
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A person wears a hearing aid that uniformly increases the sound level of all audible frequencies of sound by 30.0 dB . The hearing aid picks up sound having a frequency of 250Hz at an intensity of 3.0 × 10¹¹W/m² . What is the intensity delivered to the eardrum?
The intensity delivered to the eardrum is [tex]3.0 \times {10^{ - 8}}\,W/{m^2}$[/tex].
What is intensity?
The area is measured on a plane perpendicular to the direction of the energy's transmission, and the power transferred per unit area is known in physics as the intensity or flux of radiant radiation. The SI system's fundamental units are watts per square meter. The average power transmission across the course of a wave, such as sound waves or electromagnetic waves like light or radio waves, is referred to as the "intensity" of the wave. The term "intensity" can be used to characterize a wide range of energy exchange scenarios. For example, one may calculate the amount of kinetic energy that each drop of water from a sprinkler is carrying. It is possible to determine intensity using the energy density.
Calculations:
[tex]${\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_1}}}{{{I_0}}}} \right)$ and ${\beta _2} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_0}}}} \right)$$ = {\beta _2} - {\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_0}}}} \right) - 10{\log _{10}}\left( {\dfrac{{{I_1}}}{{{I_0}}}} \right)$[/tex][tex]$ \ {\beta _2} - {\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_0}}} \times \dfrac{{{I_0}}}{{{I_1}}}} \right)$ [Using $\log a - \log b = \log \left( {\dfrac{a}{b}} \right)$][/tex]
[tex]$ \arrow = {\beta _2} - {\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_1}}}} \right)$\[ \arrow = \dfrac{{{\beta _2} - {\beta _1}}}{{10}} = {\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_1}}}} \right)\][/tex]
[tex]\[ \arrow ={10^{\dfrac{{{\beta _2} - {\beta _1}}}{{10}}}} = \dfrac{{{I_2}}}{{{I_1}}}\]\[ \arrow ={I_2} = {I_1}{10^{\dfrac{{{\beta _2} - {\beta _1}}}{{10}}}}\]Thus, we have ${I_2} = 3.0 \times {10^{ - 11}}\,W/{m^2} \times {10^{\dfrac{{30.0}}{{10}}}}$$ \arrow= {I_2} = 3.0 \times {10^{ - 11}} \times {10^3}\,W/{m^2}$$ \arrow ={I_2} = 3.0 \times {10^{ - 8}}\,W/{m^2}$[/tex]
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an astronomical unit is the average disce of earth from the sun approximately 1//5 *10^^8 the pseed of light is 3*10^88 express the speed of light in terms of astronomical units per min
Speed of light in terms of astronomical unit is 0.12AU/min.
What is an astronomical unit?The astronomical unit (symbol: au, or AU) is a measurement of length that is approximately 150 million kilometers (93 million miles) or 8.3 light minutes long, representing the distance between the Earth and the Sun. As Earth orbits the Sun, its actual distance from the Sun changes by roughly 3%, going from its greatest value (aphelion) to its smallest value (perihelion), and back again, once a year. Originally intended to represent the average of Earth's aphelion and perihelion, the astronomical unit has been precisely defined as 149597870700 m since 2012. The astronomical unit is mostly used to calculate distances within or around other stars and other solar systems. It is also a crucial element in the definition of the parsec, another astronomical measure of length.
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The most soaring vocal melody is in Johann Sebastian Bach's Mass in B Minor. In one section, the basses, tenors, altos, and sopranos carry the melody from a low D to a high
A. In concert pitch, these notes are now assigned frequencies of 146.8Hz and 880.0 Hz . Find the wavelengths of(c) the initial note and
The wavelength of the initial note is 2.34m
What do you mean by the term wavelength?The distance between two successive crests or troughs of a wave is known as its wavelength. It is measured in the wave's direction. The distance a wave travels between its crests or troughs is known as its wavelength (which may be an electromagnetic wave, a sound wave, or any other wave). The wave's crest is its highest point, while its dip is its lowest. Because a wavelength represents a distance or length, it is expressed in length units like meters, centimeters, millimeters, nanometers, etc. Light's wavelength changes with color, or it differs for each hue. While violet has the shortest wavelength, red has the longest.
wavelength = v/f
Given:
Initial frequency, [tex]f_{initial} = 146.8 Hz[/tex]
Final frequency, [tex]f_{final} = 880\;Hz[/tex]
Sound Level, [tex]\beta = 79\;dB[/tex]
We know that,
Speed of the sound, [tex]v=343\;m/s[/tex]
Density of air, [tex]\rho=1.2\;kg/m^{3}[/tex]
Wavelength, [tex]\lambda = \frac{v}{f}[/tex]
Wavelength of initial note is,
[tex]\lambda = \frac{v}{f_{initial} }[/tex]
Substitute the known values in the above equation,
[tex]\lambda = \frac{343}{146.8}[/tex]
[tex]\lambda = 2.34\;m[/tex]
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when discussing a particular body, the action forces are defined as those forces that directly affect the acceleration of that body. with this in mind, classify the forces acting on each object according to whether they are action forces or reaction forces. to simplify matters, ignore the friction acting on the front tires of the car. be sure to answer both parts of the question.
The force acting on a car will be an action type of force.
What is Newton's second law?The effects of net force and mass on a material's acceleration are described by Newton's second law. Newton's second law is given as,
F = ma
Where m is the mass, a is the acceleration, and F is the force acting on a body.
The forces that actually affect a body's acceleration are referred to as the active forces when a specific body is under discussion. Ignore the resistance the car's front tires experience to make things easier.
A force of the action kind will be exerted on an automobile.
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When a wave encounters an obstacle or a slit that is comparable in size to its wavelength, it bends around it. This characteristic is called ________.
The most soaring vocal melody is in Johann Sebastian Bach's Mass in B Minor. In one section, the basses, tenors, altos, and sopranos carry the melody from a low D to a highA. In concert pitch, these notes are now assigned frequencies of 146.8Hz and 880.0 Hz . Find the wavelengths of(a) the initial note
The wavelength of initial node is 2.34m.
What is wavelength?The wavelength, which in physics refers to the length over which a periodic wave repeats, is its spatial period. It is the distance between two successive corresponding wave points of the same phase, such as two neighboring crests, troughs, or zero crossings, and it is a feature of both traveling waves and standing waves, as well as other spatial wave patterns. The spatial frequency is defined as the wavelength's inverse. Greek letter lambda, which means "wavelength," is frequently used to denote it. Sometimes, modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids are all referred to by the term wavelength.
Wave lengthλ=[tex]\frac{v}{f} = \frac{343 m/g}{146.6/g} =2.34m[/tex].
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A nonconducting wall carries charge with a uniform density of 8.60μC/cm²(a) What is the electric field 7.00 cm in front of the wall if 7.00 cm is small compared with the dimensions of the wall? Explain.
The electric field at a distance of 7.00 cm is 8.60×10^−2C/m2
The charge per unit area of wall is
σ = (8.60×10^−6C/cm2)( 100cm /m)^2 = 8.60×10^−2C/m2
The electric field at a distance of 2.00 cm is then
E = σ /7∈0 = (8.60×10^−2C/m^2) / 7(8.85×10−12C2/N⋅m2)
= 1.38×10^9N/C away from the wall.
Electric field, an electric property associated with each point in space when the charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field.
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the force that gravitation exerts upon a body, equal to the mass of the body times the local acceleration of gravity
The force that gravitation exerts upon a body, equal to the mass of the body times the local acceleration of gravity is known as weight.
Weight is the force of gravity acting on a body.
The formula is :
W =mg
Here,
W is the weight or force acting on the body. m is the mass of the body, and g is the gravitational acceleration.
Since weight is also a force, so its SI unit is also newton. The value of weight varies from place to place depending on the gravity. Its value can also be equal to zero.
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In a certain series R L C circuit, Irms=9.00A, ΔVrms=180V, and the current leads the voltage by 37.0⁰. (a) What is the total resistance of the circuit?
The total resistance of the RLC series circuit is determined as 20 ohms.
Total resistance of the circuit
The total resistance of the RLC series circuit is calculated as follows;
R = Vrms / Irms
where;
Vrms is the root mean square voltageIrms is the root mean square currentSubstitute the given parameters and solve for the total resistance
R = (180) / (9)
R = 20 ohms
Thus, the total resistance of the RLC series circuit is determined as 20 ohms.
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The temperature of an object is a direct measure of the amount of
microscopic energy in the object.
O True
O False
Answer:
true
Explanation:
correct me if i'm wrong
Answer:
False
Explanation:
A convenient definition of temperature is that it is a measure of the average translation kinetic energy associated with the disordered microscopic motion of atoms and molecules. The flow of heat is from a high temperature region towards a lower temperature region.What is the microscopic energy?
Microscopic Energy. This energy is defined as the energy associated with the random, disordered motion of molecules and due to intermolecular forces.Is temperature a direct measure of the amount of energy in an object?
Temperature is a direct measurement of thermal energy, meaning that the hotter an object is, the more thermal energy it has. Heat is a measure of how much thermal energy is transferred between two systems. It is easy to turn mechanical energy into thermal energy, for example using friction.
Sally has a car that accelerates at 5 m/s. If the car has a mass of 1000 kg, how much force does t
car produce?
F=
m=
a=
Answer:
5000N
Explanation:
Force is given by the formula F = ma where m is the mass and a the acceleration
Plugging in given values of m and a gives us
F = 1000 kg x 5 m/s² = 5000 Newtons or simply 5000N
Review. (c) Assume the dipole is a compass needle-a light bar magnet-with a magnetic moment of magnitude μ . It has moment of inertia I about its center, where it is mounted on a frictionless, vertical axle, and it is placed in a horizontal magnetic field of magnitude B. Determine its frequency of oscillation.
The frequency of oscillation is [tex]\frac{1}{2\pi } \sqrt{\frac{\mu B}{I} }[/tex].
What is a magnetic moment?The magnetic moment is the magnetism of a magnet or other item that creates a magnetic field, as well as its orientation and strength. Electromagnets, permanent magnets, elementary particles like electrons, different compounds, and a variety of celestial objects are examples of things that have magnetic moments (such as many planets, some moons, stars, etc). The phrase "magnetic moment" typically refers to a system's magnetic dipole moment, which can be represented by an analogous magnetic dipole, which has a magnetic north and south pole that are barely separated from one another. For sufficiently small magnets or at sufficiently wide distances, the magnetic dipole component is adequate. For extended objects, additional terms may be required in addition to the dipole moment, such as the magnetic quadrupole moment.
[tex]T = \frac{ Id^{2}\theta }{dt^{2} }[/tex]
[tex]-\mu B\theta=\frac{ Id^{2}\theta }{dt^{2} }[/tex]
[tex]\frac{d^{2}\theta }{dt^{2} } = -(\frac{\mu BI}{\theta} )[/tex]
By Comparing the above equation with the SHM equation
[tex]\frac{d^2 \theta} {dt^{2} } = -\omega^{2} \theta[/tex]
[tex]\omega^{2} =\frac{ \mu B}{I}[/tex]
Frequency = [tex]\frac{\mu}{2\pi }[/tex]
=[tex]\frac{\sqrt{\frac{\mu B}{I} } }{2\pi}[/tex]
=[tex]\frac{1}{2\pi } \sqrt{\frac{\mu B}{I} }[/tex]
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(ii) What happens to the field if instead the length of the solenoid is doubled, with the number of turns remaining the same? Choose from the same possibilities as in particular
Part A: Since the magnetic field is proportional to the number of turns per length (n), it follows that the magnetic field within the solenoid stays constant when both the number of turns and the length are doubled.
Answer C for portion B) is accurate; there are still the same number of turns per length.
What is the function of a solenoid?A solenoid, to put it simply, transforms electrical energy into mechanical work. Many turns of tightly wound copper wire make up the coil. A powerful magnetic field or flux is produced when an electrical current passes through this wire.
Many turns of tightly wound copper wire make up the coil. A powerful magnetic field or flux is produced when an electrical current passes through this wire.
The housing, which is often composed of iron or steel, encloses the coil and concentrates the magnetic field it produces.
By concentrating the magnetic field, which generates the necessary mechanical force, the plunger is drawn to the stop.
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During a game of pool, a cue ball travels to the left with 70 N of force and collides with the four ball moving with a force of 50 N to the right. If you assign a
negative value to the force moving to the right, what is the net force of this system?
Answer:
net force= -50N +70N
=20N
Explanation:
The balls are moving in opposite directions as indicated and to the right is (-) while to left is (+). Therefore net force is equal to sum of the force
The cue ball travels to the left with a force of +70 N and collides with the four-ball moving towards the right with a force of -50 N.
What is Force?A push or a pull that alters or tends to alter an object's uniform motion or state of rest, as well as altering an object's direction or shape, is referred to as force. It either accelerates items or increases the pressure they are under. The interaction between two items is, to put it simply, a push or a pull on the object. It is the fundamental driver of motion starting from stillness.
Given information according to the question,
The cue ball travels to the left with a force of +70 N and,
The force by four balls moving to the right is -50 N.
Net force, N = 70 N - 50 N
N = 20 N towards the left direction.
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What is isochronism
brainliest for answer
Answer:
the study of Earth's magnetic field is known as isochronism
Explanation:
isochronism is having a period that is independent of oscillator amplitude in an oscillator. Like, a pendulum or balance.
a water holding tank measures 115 m long, 45 m wide, and 9 m deep. traces of mercury have been found in the tank, with a concentration of 65 mg/l. what is the total mass of mercury in the tank? answer in units of kg
The tank that has a volume of 46575 m³ with a concentration of 65 mg/l has a total mass of mercury of: 3027.375 kg
To solve this problem the formulas and the procedures that we have to use are:
c= m(solute)/v(solution)v = long * wide * deepWhere
c = concentration of solutionm = mass of solutev = volume of solutionInformation about the problem:
long = 115 mwide = 45 mdeep = 9 m c= 65 mg/lv(solution)=?m(mercury)=?Using the volume formula we get:
v= long * wide * deep
v(solution) = 115 m * 45 m * 9 m
v(solution) = 46575 m³
By converting the volume units from m³ to liters we have:
v(solution) = 46575 m³ * 1000 l/1m³
v(solution) = 43.575*10^6 l
Applying the concentration formula and clearing the mass we get:
c= m(solute)/v(solution)
m(solute) = c * v(solution)
m(mercury) = 65 mg (mercury)/l (solution) * 43.575*10^6 l (solution)
m(mercury) = 3.027375*10^9 mg
By converting the mass units from (mg) to (kg) we have:
m(mercury) = 3.027375*10^9 mg * 1 kg/ 1 * 10^6 mg
m(mercury) = 3027.375 kg
What is a solution?In chemistry a solution is known as a homogeneous mixture of two or more components called:
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A tennis ball with a speed of 17.9 m/s is
moving perpendicular to a wall. After striking
the wall, the ball rebounds in the opposite
direction with a speed of 16.0026 m/s.
If the ball is in contact with the wall for
0.0084 s, what is the average acceleration of
the ball while it is in contact with the wall?
Take "toward the wall" to be the positive
direction.
Answer in units of m/s².
The acceleration of the ball while it is in contact with the wall is 4036.023 m/s²
ball strikes the wall at a speed of 17.9m/sec
after striking its goes in opposite direction with a speed of 16.0026m/sec
We have given that speed towards the wall is positive
So, u = 17.9m/sec
v = -16.0026m/sec
t = 0.0084 sec
We know that acceleration is given by
a = v-u/t
where
v = final speed
u = initial speed
t = time taken
a = v-u/t
a = 17.9 - (-16.0026) / 0.0084
a = 33.9026 / 0.0084
a = 4036.023 m/s²
So the acceleration of the ball while it is in contact with the wall is 4036.023 m/s²
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Four toy cars are moving at a constant speed until they experience an unbalanced force of 12 n each. Which toy car would have an acceleration of 3 m/s^2?.
The car that would have the acceleration of 3m/s^2 would be of mass 4 kg.
How Newton's law of motion applied to determine the mass of the car that would have an acceleration of 3m/s^2?For determining the mass of the car that would have 3m/s^2 acceleration, we will calculate net force .The net force acting on a given asset along with the total acceleration against the mass of the asset.The F = F1+ F2+F3.......Fn, here the body or the considered asset is not at rest .If the question would ask to consider a rest object then the net force would be , F= Fa + Fg, Fa is the force applied over the considered object in the question, Fg is the force due to gravity.To know more about Force and acceleration visit:
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A man on a scooter travels directly west for 50 meters, it took the man 45 seconds to reach his destination. What was his velocity?
Answer:
1.2 m/s
Explanation:
You must divide the distance by time in order to find velocity! 50/45. He was going 1.2 m/s!
Answer: 34
Explanation:
in fig. 5-64, a force f of mag- nitude 12 n is applied to a fedex box of mass m2 ???? 1.0 kg. the force is directed up a plane tilted by u ???? 37°. the box is connected by a cord to a ups box of mass m1 ????3.0kg on the floor. the floor, plane, and pulley are frictionless, and the masses of the pulley and cord are negligible. what is the tension in the cord?
The tension in the cord is 4.6 N
Applying Newton's Second Law to each box:According to Newton's second law, an object's acceleration is determined by two factors: the net force acting on the object and the mass of the object.
So, if we chose the positive +x uphill for the FedEx box of mass m2= 1.0 kg and +ve axis for m1 = 3.0 kg such that their accelerations have the same magnitude.
As we apply Newton's second law to each box, we discover that:
[tex]\mathbf{F - T -m_2gsin\theta = m_2a}[/tex]
where;
[tex]\mathbf{T=m_1a}[/tex]Thus, the first equation can be rewritten as:
[tex]\mathbf{F-m_2gsin\theta = (m_1+m_2)a}[/tex]
Now, the acceleration moving in the same direction can be computed as:
[tex]\mathbf{a=\dfrac{12N (1.0 kg)(9.8 \ m/s^2)sin 37^0}{(1.0+3.0)kg}}[/tex]
a = 1.53 m/s²
Finally, the tension [tex]\mathbf{T=m_1a}[/tex] = (3.0 kg) (1.53 m/s²)
= 4.6 N
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a helicopter flies with an average velocity of 70.0\, \dfrac{\text{m}}{\text{s}}70.0 s m 70, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction for 10.0\, \text{seconds}10.0seconds10, point, 0, start text, s, e, c, o, n, d, s, end text. what is the magnitude of the helicopter’s displacement?
Considering the definition of velocity, the magnitude of the helicopter's displacement is 700 meters.
Definition of velocityVelocity is a physical magnitude that relates the displacement of an object, the time it takes to make this change in position and direction.
In other words, the velocity can be defined as the amount of space traveled per unit of time with which a body moves, considering the direction.
The velocity can be calculated using the expression:
velocity= displacement÷ time
This caseIn this case, you know:
Velocity = 70 m/sTime = 10 seconds.Replacing in the definition of velocity:
70 m/s= displacement÷ 10 s
Solving:
70 m/s× 10 s= displacement
700 m= displacement
Finally, the magnitude of the helicopter's displacement is 700 meters.
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Why do you think that our model of the atom changed after rutherford’s experiment?.
Because according to Rutherford's atomic model electrons revolve around the nucleus and are not embedded in it just like plum in pudding. Therefore, it was J.J Thomson's model was rejected.
Rutherford disapproved the previous atomic model of J.J Thomson which suggested that electron are embedded in a positively charged nucleus like the plums in a pudding also known as plum pudding model.
He performed gold foil experiment to determine the atomic model.
However, after conducting the experiment he found that many electrons went starting without changing path.
Only few changed their path showing that atom has a dense massive structure called nucleus.
Thus, Rutherford model shows that electron are not embedded in the nucleus instead they revolve around it.
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A box is at rest on an inclined surface. Which diagram correctly illustrates all forces, including any component forces? Assume the x-axis is parallel to the surface.
A box is at rest on an inclined surface. The last diagram correctly illustrates all forces, including any component force, therefore the correct option is D.
Describe friction?When two physical objects' surfaces come into contact, a force called friction acts to hinder or resist the relative motion of the items. Any two surfaces of things cannot simply slide over or across one another due to the friction force. It depends on the amount of force used on the object.
Additionally, there should be no net vertical forces acting on the inclined block. Fv=0
Therefore, the appropriate diagram is D.
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A box is at rest on an inclined surface. Which diagram correctly illustrates all forces, including any component forces?
Assume the x-axis is parallel to the surface.
Four toy cars are moving at a constant speed until they experience an unbalanced force of 12 n each. Which toy car would have an acceleration of 3 m/s2 ?.
The car's acceleration would be for a mass of 4 kg is 3 m/s²
Given the information below:
12 Newtons of force.
Increasing speed Equals
By using Newton's Second Law of Motion, we can determine the mass of the car:
According to Newton's second law of motion, force is equal to the rate at which momentum changes. Force is defined as mass times acceleration for a constant mass.
force= mass* acceleration
This formula provides Newton's Second Law of Motion mathematically;
12= mass*3
mass=12/ 3
mass=4 kilogram
By changing the parameters in the formula, we obtain;
= 4 kilos of mass.
As a result, the vehicle with a mass of 4 kg would accelerate at 3 m/s².
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A 55.0-kg woman cheats on her diet and eats a 540 Calorie ( 540 kcal ) jelly doughnut for breakfast. (c) If the human body is only 25.0% efficient in converting chemical potential energy to mechanical energy, how many steps must the woman climb to work off her breakfast?
The woman needs to climb a step of 1.05 m to work off her breakfast.
What is potential energy?
The potential energy of an object is the energy that is stored in the object due to its position above the ground level.
The potential energy of the woman can be used to determine the number of steps she needs to climb.
potential energy + heat energy = chemical energy
1 kcal = 4184 J
0.540 kcal = ?
= 2259.36 J
P.E = mgh
55 x 9.8 x h = 0.25(2259.36)
h = 1.05 m
Thus, the woman needs to climb a step of 1.05 m to work off her breakfast.
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If a cannonball were launched horizontally (launch angle of 0) with a speed of 35m/s from a height of 15m, how long would the cannonball remain in the air?
Since the cannonball was launched horizontally (launch angle of 0) with a speed of 35m/s from a height of 15m, the time the cannonball remains in the air is for 1.75 s
What is a projectile?A projectile is an object that moves through air in a parabolic path
How long would the cannonball remain in the air?Since the cannonball is a projectile and was launched horizontally (launch angle of 0) with a speed of 35m/s from a height of 15m, using the equation of motion y' - y = ut - 1/2gt² we find the time it takes the cannonball to reach the ground. or remain in the air
Since y' - y = ut - 1/2gt² where
y' = ground level = 0 my = height cannonball is launched from = 15 m, u = initial vertical speed of cannonball = 0 m/s (since it is launched horizontally), t = time cannonball is in the air, g = acceleration due to gravity = 9.8 m/s²Substituting the values of the variables into the equation and solving for t, we have
y' - y = ut - 1/2gt²
0 m - 15 m = 0 m/s × t - 1/2 (9.8 m/s²)t²
- 15 m = 0 m/s - (4.9 m/s²)t²
- 15 m = - (4.9 m/s²)t²
t² = -15 m/- (4.9 m/s²)
t² = 3.061 s²
t = √3.061 s²
t = 1.75 s
So, the time the cannonball remains in the air is for 1.75 s
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3. The runner ran a distance 100m with a force of 45N. How much work
was done? (W=Fx d)
Answer:
Hope my answer is understandable to you.
An 8.5kg cat is running 1.8m/s. How much kinetic energy does it have?
Answer:
Im not sure if this is correct but it might be 15.3
Explanation:
8.5kg multiplied by 1.8 m/s is 15.3
Answer:
KE = 13.77 J
Explanation:
KE=1/2 mv^2
A guitar's steel string vibrates (see Fig. 31.5). The component of magnetic field perpendicular to the area of a pickup coil nearby is given byB=50.0+3.20 sin 1046 πtwhere B is in milliteslas and t is in seconds. The circular pickup coil has 30 turns and radius 2.70mm. Find the emf induced in the coil as a function of time.
The emf induced in the coil as a function of time is 2.2 mV.
emf induced in the coil
The emf induced in the coil is calculated as follows;
emf = NAdB/dt
where;
N is number of turnA is the area of the coildB/dt is the change in magnetic field with timeA is area of the coil, A = πr² = π(2.7 x 10⁻³)² = 2.29 x 10⁻⁵ m².
dB/dt = 3.2cos(1046π) = 3.2
emf = (30 x 2.29 x 10⁻⁵ x 3.2) = 2.2 x 10⁻³ V
emf = 2.2 mV
Thus, the emf induced in the coil as a function of time is 2.2 mV.
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