Answer:
A =150
I think it will help you bro
(i) What happens to the magnitude of the magnetic field inside a long solenoid if the current is doubled? (a) It becomes four times larger. (b) It becomes twice as large. (c) It is unchanged. (d) It becomes one-half as large. (e) It becomes one-fourth as large.
The magnetic field inside the solenoid is
B = μo nI
Here n = N/l
Here I be the current
N be the number of turns
l be the length of solenoid
Because the magnetic field in this instance is independent of radius, "c) it is unaffected."
What is magnetic field made of?Electric charges in motion create magnetic fields. Everything is constructed of atoms, and each atom contains a nucleus that is composed of protons and neutrons, with orbiting electrons. Each atom creates a tiny magnetic field because the orbiting electrons are tiny moving charges.
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As the people sing in church, the sound level everywhere inside is 101 dB . No sound is transmitted through the massive walls, but all the windows and doors are open on a summer morning. Their total area is 22.0 m² . (b) Suppose the ground is a good reflector and sound radiates from the church uniformly in all horizontal and upward directions. Find the sound level 1.00 km away.
The sound level from 1 km away is 46.4 dB and the sound energy radiated through the windows and doors in 20 min is 332.6 J
What do you mean by sound radiates?Multiple plate modes participate in the forced vibration of a baffled plate that produces sound. The emitted sound power depends on the activation of each plate mode by the external pressures as well as the radiation characteristics of the individual plate modes and their mutual interaction via their radiated sound, as shown in eq (20) and (24). The net contribution of the mutual interaction between plate modes to the overall sound power may be disregarded if a plate is activated in a manner that results in a plate vibration field that can be defined as reverberant with an equal distribution of energy over all modes.
(Lw) = 10·log (W/Wo) dB
Given:
sound level, [tex]\beta= 101 dB[/tex]
Area, A = [tex]22\;m^{2}[/tex]
Time, [tex]\triangle t = 20\;min=1200\;s[/tex]
Intensity, [tex]I=1\times 10^{-12}\;W/m^{2}[/tex]
[tex]r=1\;km=1000\;m[/tex]
(a)
We know that, Sound level is,
[tex]\beta=10\times log(\frac{I}{I_{o} } )[/tex]
Solving the above equation for sound intensity,
[tex]I=I_{o} \times 10^{\frac{\beta}{10} }[/tex]
[tex]I=1 \times 10^{-12} \times 10^{\frac{101}{10} }[/tex]
[tex]I=0.0126\;W/m^{2}[/tex]
Therefore, The sound energy is,
[tex]E=P\times \triangle t[/tex]
Substitute [tex]P=I \times A[/tex] in the above equation,
[tex]E=I \times A \times \triangle t[/tex]
[tex]E=0.0126 \times 22 \times 1200[/tex]
[tex]E=332.6\;J[/tex]
(b)
Half of a sphere area with 1 km radius is equal to Area of the sound at 1 km distance,
[tex]A_{hemisphere} = \frac{1}{2} \times 4 r^{2} \pi[/tex]
Substitute the known value in the above equation ,
[tex]A_{hemisphere} = \frac{1}{2} \times 4 (1000)^{2} \pi[/tex]
[tex]A_{hemisphere} = 6283185\;m^{2}[/tex]
Sound Intensity is,
[tex]I = \frac{P}{A_{hemisphere}}[/tex]
Substitute [tex]P=I \times A[/tex] in the above equation,
[tex]I = \frac{I \times A}{A_{hemisphere}}[/tex]
Substitute the known value in the above equation,
[tex]I = \frac{0.0126 \times 22}{6283185}[/tex]
[tex]I = 4.4 \times 10^{-8}\;W/m^{2}[/tex]
Sound level is,
[tex]\beta=10\times log(\frac{I}{I_{o} } )[/tex]
Substitute the known value in the above equation,
[tex]\beta=10\times log(\frac{4.4 \times 10^{-8} }{1 \times 10^{-12} } )[/tex]
[tex]\beta=46.4\;dB[/tex]
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put the types of electromagnetic radiation in order of decreasing frequency. view available hint(s)for part a put the types of electromagnetic radiation in order of decreasing frequency. microwave > radio > infrared > ultraviolet radio > microwave > infrared > ultraviolet ultraviolet > infrared > radio > microwave ultraviolet > infrared > microwave > radio
The types of electromagnetic radiation in order of decreasing frequency will be D. ultraviolet > infrared > microwave > radio.
What is electromagnetic radiation?
This is the radiation that travels in waves and possesses both an electric and magnetic field. Both natural and artificial sources contribute to it. The energy levels of electromagnetic radiation can range from low to high. It consists of x-rays, gamma rays, infrared light, visible light, ultraviolet light, radio waves, and microwaves.
When a charged particle, like an electron, changes its velocity—that is, when it is accelerated or decelerated—electromagnetic radiation is created. As a result, the charged particle loses the energy of the electromagnetic radiation that is thus created.
It should be noted that radio has highest wavelength and ultraviolet has lowest wavelength.
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What is the mass of an object that requires 100N (kg-m/s2) of force in order to accelerate it at 10m/s2 (Please use G-R-E-S-A)
Answer:
10kg
Explanation:
(I'm not super familiar with the GRESA method so apologies for any inaccuracies)
Given: We are given values for Force: 100N, and Acceleration: 10m/s2.
Required: We are trying to find Mass (m)
Equation: The best equation to use to solve this problem is F=ma,
Force = Mass x Acceleration. We can rearrange this for mass: m = F/a.
Solution: By substituting in the values we have: [tex]m = \frac{100}{10}[/tex]
Answer: Mass = 10kg
Hope this helped!
what is her angular momentum around the center of the merry-go-round with the child and the ball on it
Answer: The total angular momentum of the person-merry go round system is constant
Explanation:
Table of current and potential differences for resistors in series
Answer:
use ohms law for tabling.
Potential (V) = current (I) × R
Let R = 1 ohm.
table:-
V. (voltage difference) current (I)
1. 1 Volt 1A
2. 2 volt 2 A
3. 4 volt 4 A
4. 6 volt 6A
.
.
.
.
A 30.0 -turn solenoid of length 6.00 cm produces a magnetic field of magnitude 2.00 mT at its center. Find the current in the solenoid.
The current in the solenoid is [tex]3.18\times10^{-11}A[/tex].
Solenoids are basically coils of twine. These generate a magnetic subject that strives a pressure over a steel component.A magnet could be a basic period of time for a coil of twine that we have a tendency to use as associate magnet.We to boot ask the tool that might convert power into mechanical power as a magnet.Actually it generates a magnetic subject for developing linear movement from the electrical up-to-date. With employing a magnetic subject.Magnetic field at the centre of a solenoid of length 'L' having 'N' number of turns with a current 'I' is given by [tex]B=\frac{u_0NI}{L}[/tex] ...(1)It is given that 30.0 -turn solenoid of length 6.00 cm = 0.06m produces a magnetic field of magnitude 2.00 mT at its center .
Putting above values in equation (1) , we get
[tex]2.00=\frac{4\pi \times10^{-7}\times30.0I}{0.06} \\\\I=\frac{2.00\times0.06}{4\pi \times10^{-7}\times30.0} \\\\I=3.18\times10^{-11}A[/tex]
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Structures of the skeletal system
Bones, Cartilage, Ligaments, Tendons, and Muscles.
An engineer at NASA is investigating the impact of meteorites on planets. He performs experiments in a vacuum by dropping metal spheres of different sizes and different heights above a horizontal bed of sand. In one experiment, a metal sphere of mass 0.1 kg is dropped from a height of 1.2 m. The sphere makes a depression in the sand of 2 cm. [Gravitational field strength, g = 10 Nkg -1 ] i) Calculate the potential energy of the sphere at a height of 1.2 m [2 marks]
The potential energy of the sphere at a height of 1.2 m is 1.2 J.
The gravitational potential energy of an object is defined as the energy stored inside a body due to virtue of its position.
The equation for calculating the potential energy(PE) is as follows:
PE = mgh
Here m is the mass of the body
g is the acceleration due to gravity
h is the height of the body above the ground level/reference level
Putting m = 0.1 kg, h = 1.2 m and g = 10 m/s^2
PE = 0.1 x 1.2 x 10 = 1.2 J.
Thus, the potential energy of the sphere at a height of 1.2 m is 1.2 J.
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A long, vertical, metallic wire carries downward electric current. (ii) What would be the direction of the field if the current consisted of positive charges moving downward instead of electrons moving upward? Choose from the same possibilities as in part (i).
The direction of the conventional current that generates the magnetic field at a specified place determines its direction. The direction of the field if the current consisted of positive charges moving downward instead of electrons moving upward is South.
What is the electric current's direction?In terms of circuit analysis, the direction of electric current from positive to negative is usually considered as well. Positive charges moving in the opposite direction are mathematically similar to negative charges moving in the same way. Therefore, it does not have any effect. When examining a circuit, the flow of current from positive to negative or vice versa can be taken into account. In actuality, negatively charged electrons can attract positively charged ions. Conventionally, a positive charge would flow in the same direction as an electric current. As a result, the battery's positive terminal receives less current in the external circuit than its negative counterpart. Actually, electrons would flow in the reverse direction across the wires.
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The car covers a distance of 20 km due east in two hours and truck covers 60 km in 3 hours due west. What is their speed and velocity?
Taking into account the definition of speed ans velocity, the speed and velocity of the car are 10 km/h and 10 km/h due east respectively and the speed and velocity of the truck are 20 km/h and 20 km/h due west respectively.
Definition of speedSpeed is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it. That is, the speed is associated with the change of position of an object in space within a certain amount of time.
The speed can be calculated using the expression:
speed= distance traveled÷ time
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. So it is considered a vector magnitude.
The velocity can be calculated using the expression:
velocity= distance traveled÷ time
Velocity has units of distance/time and includes direction of travel.
Speed and velocity in this caseIn this case, you know:
The car covers a distance of 20 km due east in two hours. Truck covers 60 km in 3 hours due west.The speed and velocity of the car can be calculated:
speed= 20 km÷2 hours= 10 km/hvelocity= 20 km÷2 hours= 10 km/h due east.The speed and velocity of the truck is calculated as:
speed= 60 km÷3 hours= 20 km/hvelocity= 60 km÷3 hours= 20 km/h due west.In summary, the speed and velocity of the car are 10 km/h and 10 km/h due east respectively and the speed and velocity of the truck are 20 km/h and 20 km/h due west respectively.
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The function =pmt(c5,c7,-c3) is stored in cell c15. What must be stored in cell c5?
When function =pmt(c5,c7,-c3) is stored in cell c15. Cell c5 must contain a Periodic interest rate.
We know that periodic interest rate is the rate that is realized on an investment, or loan over a specific period of time. Basically, the periodic rate is the annual interest rate divided by the number of periods.
In Excel the syntax of Rate Function is RATE(nper, pmt, pv, [fv], [type], [guess]), where pv stands for the loan amount, nper is the period of payment and pmt is the periodic payment.
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A radio wave transmits 25.0W/m² of power per unit area. A flat surface of area A is perpendicular to the direction of propagation of the wave. Assuming the surface is a perfect absorber, calculate the radiation pressure on it.
The radiation pressure is 83.3 nPa.
What is radiation pressure?The mechanical pressure that is applied to any surface as a result of the exchange of momentum between an item and an electromagnetic field is known as radiation pressure.
It is the pressure that electromagnetic radiation exerts on a surface as a function of the momentum it carries; radiation pressure doubles if the radiation is reflected as opposed to absorbed.
The radiation pressure will be:
P = I/C
P = 25 / 3 / 10^8
P = 83.3 nPa.
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don is 10 kilometers ahead of jane, and both are traveling forward. how long will it take jane to catch up with don if jane is traveling at 10 k.p.h and don at 6 k.p.h. ?
The time it takes Jane to catch up with Don if Jane is traveling at 10 k.p.h and don at 6 k.p.h is: 2.5 h
The formula and procedure we will use to solve this problem is:
Tr = x/(v2-v1)
Where:
x = separation distanceTr = reach time v2 = velocity of the faster mobilev1 = velocity of the slowest mobileInformation about the problem:
x = 10 kmv2 = 10 km/hv1 = 6 km/hTr=?Applying the reach time formula we get:
Tr = x/(v2-v1)
Tr = 10 km/(10 km/h- 6 km/h)
Tr = 10 km/(4 km/h)
Tr = 2.5 h
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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The Sun is lower in the sky during the winter than it is during the summer. (b) How does this change affect the weather?
When the Sun is lower in the sky during the winter than it is during the summer, reduced flux results, on the average, causes colder weather while increased flux causes hot weather.
The sun's rays strike the Earth at an acute angle during the summer. Because the light does not spread as much, the quantity of energy striking any specific location is increased. Furthermore, the lengthy daytime hours give the Earth plenty of time to warm up or become hot. In contrast, during the winter, the sun's rays strike the Earth at a shallow angle. These beams are more dispersed, reducing the amount of energy that impacts any specific place. Furthermore, the long nights and short days keep the Earth from overheating. As a result, we have cold weather.
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two like charges of the same magnitude are 5.0 mm apart. if the force of repulsion they exert upon each other is 2.0 n, what is the magnitude of each charge? (the constant of proportionality for the coulombic force is 9.0 × 109 n·m2/c2.)
The magnitude of charge of each particle is 5.55 μC
Given that the two like charges are of same magnitude. Let Q be the magnitude of the charges.
Distance between the particles, r = 5 mm = [tex]5\times 10^{-3}[/tex] m
The force of repulsion exerted upon each other by the charges = 2 N
Coulomb's law states that the force of interaction between the charges is directly proportional to the product of the magnitude of charges and is inversely proportional to the square of the distance between the charges.
I.e., [tex]F = \frac{kQ^2}{r^2}[/tex] , k = [tex]9\times 10^9 Nm^2C^{-2}[/tex] is the constant of proportionality for the Coulombic force.
⇒ 2 = [tex]\frac{9\times 10^9\times Q^2}{5^2\times 10^{-6}}[/tex]
Therefore, [tex]Q^2 =\frac{50\times 10^{-6}}{9\times10^9}[/tex]
Therefore, Q = 5.55 x [tex]10^{-15}[/tex] C = 5.55 μC is the magnitude of the charge of each particle.
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What is astrology considered?
A. A pseudoscience
B. A peer reviewed Science
C. A true science
D. A soft science
Answer:
It might be A!
Explanation:
I'm not entirely sure!
Two long wires hang vertically. Wire 1 carries an upward current of 1.50 A . Wire 2,20.0cm to the right of wire 1, carries a downward current of 4.00 A . A third wire, wire 3 , is to be hung vertically and located such that when it carries a certain current, each wire experiences no net force. (a) Is this situation possible? Is it possible in more than one way? Describe
Yes, this situation is possible. No, It is not possible in more than one way.
The force per unit length between two parallel thin current-carrying [tex]I_1[/tex] and [tex]I_2[/tex] wires at distance ' r ' is given by [tex]f=\frac{u_0I_1I_2}{2\pi r}[/tex] ....(1) If the current is flowing in both wires in the same direction, and the force between them will be the attractive force and if the current is flowing in opposite direction in wires then the force between them will be the repulsive force.A schematic of the information provided in the question can be seen in the image attached below.
From the picture: Assuming that the forces exerted on the wire by the other two wires are equal and opposite, the third wire exerts no net force. So you can say: Yes the situation is possible.
The forces acting on the other two wires will be in opposite directions, so they cannot have multiple passes, but they will not be of the same magnitude.
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Why is the following situation impossible? A team of researchers discovers a new gas, which has a value of γ = C_P / C_V of 1.75.
A team of researchers discovers a new gas, which has a value of 1.75 which is impossible. Because the value of the heat capacity is 1.66.
What is the heat capacity ratio?The heat capacity ratio sometimes referred to as the adiabatic index, the ratio of specific heat, or Laplace's coefficient in heat engineering and thermodynamic parameters, is the fraction of the heat capacity at constant pressure [tex]( \rm C_P)[/tex] to the heat capacity at constant volume [tex](\rm C_V)[/tex].
For the mono-atomic gases, the heat capacity ratio is maximum, then it decreases with bi-atomic gases, and it further decreases for tri-atomic gases.
A group of scientists finds a new gas with a heat capacity of 1.75 which is impossible. Due to the maximum heat capacity value is 1.66.
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Celia and jane are on the roof of their school. Each woman has an identical ball that they release from the roof at the same time. However, while celia drops her ball from rest, jane releases her ball with a small horizontal velocity. Assuming that air resistance is negligible, which ball will hit the ground first?.
Answer:
Jane's ball will hit the ground first
You exert a force of 100N on a rope that pulls a sled across a flat icy surface. The rope is oriented 30 degrees above the horizontal. The sled has a mass of 10kg and it is carrying a 30kg child. The sled starts at rest. You can assume friction is negligible.
You reach a hill and start going up, still applying a constant 100N force at 30 degrees from the slope. The sled is now moving at constant speed. What is the angle of the slope?
The angle of slope if the sled carrying a 30 kg child which is moving at a constant speed is 12.7°
Given that,
Force, F = 100 N
Mass, m = 10 + 30 = 40 kg
Angle at which the force is applied, θ = 30°
Resolving the force applied into its horizontal and vertical components,
cos θ = [tex]F_{x}[/tex] / F
[tex]F_{x}[/tex] = 100 * cos 30° = 100 * 0.866
[tex]F_{x}[/tex] = 86.6 N
A force due to the weight of the cart is applied on the ground which is directly vertical downwards. But the slope is at an angle. So resolving this force into its horizontal and vertical components.
sin θ = [tex]w_{x}[/tex] / w
w = m g
w = 40 * 9.8
w = 392 N
Given that the velocity when travelling up the slope is constant. So the acceleration is zero.
Σ [tex]F_{x}[/tex] = m a = 0
[tex]F_{x}[/tex] - [tex]w_{x}[/tex] = 0
[tex]w_{x}[/tex] = 86.6 N
θ = [tex]sin^{-1}[/tex] ( 86.6 / 392 ) = [tex]sin^{-1}[/tex] ( 0.22 )
θ = 12.7°
Therefore, the angle of slope if the sled carrying a 30 kg child which is moving at a constant speed is 12.7°
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a 0.40kg mass is attached to an ideal spring. if it oscillates horizontally with a period of 0.50s and an amplitude of 0.20m, then determine the spring constant of the spring? group of answer choices
By angular speed, the spring constant is 63.21 N/m.
We need to know about the angular speed of harmonic oscillation. the angular speed can be determined as
ω² = k / m
where ω is angular speed, k is spring constant, and m is the mass.
The angular speed can be calculated by
ω = 2π/T
Hence,
ω² = k / m
(2π/T)² = k / m
where T is period.
From the question above, we know that:
m = 0.4 kg
T = 0.5 s
By substituting to the equation, we get
(2π/T)² = k / m
(2π/0.5)² = k / 0.4
158.04 = k / 0.4
k = 63.21 N/m
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Answer:
63 N/m
Explanation:
Khan
Few meteors make it through the thick air of this planet without disintegrating. True or false?.
Few meteors make it through the thick air of this planet without disintegrating. This statement is false.
Meteors refer to heavily sized metallic objects or rock fragments that are formed as a result of a collision between asteroids.
These rock lumps revolve around the sun and are smaller in size than asteroids.
Their size ranges from grain-sized particles to about 1 meter wide objects
As they enter the atmosphere of earth they crash forming streaks of light and disintegrate into small-sized dust particles and never get through the thick air of the earth.
However, they impact the earth in several ways such as heating the earth's surface.
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What is the wavelength of the photon needed to excite an electron from e1 to e4?.
The wavelength needed in transition energy is λ = 9.73 x 10¯⁸ m.
We need to know about transition energy to solve this problem. Electrons in a hydrogen atom can move to another level of energy. It is also called a transition. In this process, electrons will absorb or release their energy to move. The transition energy can be determined as
ΔE = E2 - E1
where ΔE is transition energy, E2 is the final state of energy and E1 is the initial state of energy.
The state energy of a hydrogen atom can be calculated by
E = -(13.6) / n² eV
E = h.c / λ
where n is the number of energy states, h is Planck constant (4.136 x 10¯¹⁵ eV/Hz), c is speed of light (3 x 10⁸ m/s) and λ is wavelength.
From the question above, we know that
n2 = 4
n1 = 1
By substituting the following parameter, we get
ΔE = E2 - E1
ΔE = -(13.6) / n2² - (-(13.6) / n1²)
ΔE = -(13.6) / 4² - (-(13.6) / 1²)
ΔE = 13.6 - 0.85
ΔE = 12.75 eV
Calculate the wavelength needed
ΔE = 12.75 eV
h.c / λ = 12.75
4.136 x 10¯¹⁵ . 3 x 10⁸ / λ = 12.75
λ = 9.73 x 10¯⁸ m
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a woman walks due west on the deck of a ship at 3 mi/h. the ship is moving north at a speed of 18 mi/h. find the speed and direction of the woman relative to the surface of the water.
The velocity of a woman is (3i + 18j) m/s with a magnitude of 18.25 m/s and 80.54⁰ from the west.
We need to know about vectors to solve this problem. Velocity is included in vectors because it has magnitude and also direction. Velocity can be determined as the distance traveled divided by time interval. Velocity can be written as
v = vx i + vy j
the magnitude of velocity can be determined as
|v| = √(vx² + vy²)
the angle of the vector from x-axis is
tanθ = vy / vx
From the question above, we know that
vx = ( 3 i )mi/h
vy = ( 18 j ) mi/h
Hence, the velocity relative to the surface water is
v = vx i + vy j
v = (3i + 18j) m/s
the magnitude is
|v| = √(vx² + vy²)
|v| = √(3² + 18²)
|v| = √333
|v| = 18.25 m/s
the direction is
tanθ = vy / vx
tanθ = 18/3 = 6
θ = 80.54⁰
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A parallel-plate capacitor is disconnected from a battery, and the plates are pulled a small distance further apart. Do the following quantities increase, decrease, or stay the same?.
When the parallel-plate capacitors are disconnected from a battery and plates are pulled a small distance farther apart then Q remains the same, Change in potential increases, C decreases, E stays the same and Energy stored increases.
Solution:
Let's say the capacitance of parallel plates is C
Charge stored = Q
Distance between a plate of capacitor = d
The capacitance of a parallel plate capacitor equals when a parallel- plate capacitor is disconnected.
Then, charge Q remains the same i.e.
Q = εA / d = Q / Ed = Q/V
Here Q=Charge stored in a capacitor
E = Electric field, V is the potential difference, and 'd' is the separation between plate
Both potential difference and distance are inversely proportional to the capacitance between a plate of the capacitor.
Similarly, the potential difference increases when capacitance decreases.
E = V/d
While the value of V and d decrease.
E remains constant, therefore energy stored in the capacitor will be E = 1/2CV^2
The decrease in C causes an increase in V, as a result of which energy stored in the capacitor increases.
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describe and explain how energy if thermally transferred from the heating element to the food in a conventional oven
Answer:
The thermal transfers via "Conduction and Radiation"
Explanation:
Because, Convection is the transfer of thermal energy by particles moving through a fluid. Thermal energy is always transferred from an area with a higher temperature to an area with a lower temperature.
Moving particles transfers the thermal energy through a fluid by forming convection currents.
It transfers ( thermal ) heat energy to a food's surface via convection and radiation. So that, the heat energy on the food's surface, then it spreads via "conduction" towards the food's center.
Is it possible for the gravitational force between 2 50kg objects to be less than the gravitational between a 50kg object and a 5kg object?
Yes, if the two 50 kg objects are significantly farther apart, the gravitational force between them may be less than the gravitational force between a 50 kg and a 5 kg object.
The gravitational force increases as the mass of an object increases (also called the gravity force). Since gravitational force is inversely proportional to the square of the distance between the two interacting objects, greater separation distance will result in less gravitational forces.
Therefore, the gravitational attraction between two things weakens as they become farther apart. The size of this force is determined by the mass of each object and the separation of their centers.
According to mathematics, the force of gravity is proportional to the square of the distance between the objects and directly related to the masses of the items.
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A proton moves at 0.950 c . Calculate its (a) rest energy,
The rest energy of the proton is 900 MeV.
We need to know about relativistic energy to solve this problem. The rest energy of the object can be determined by
Eo = m₀ . c²
where Eo is rest energy, m₀ is rest mass and c is speed of light (3 x 10⁸ m/s).
From the question above, we know that :
m₀ = 1.6 x 10¯²⁷ kg
c = 3 x 10⁸ m/s
By substituting the following parameter, we get
Eo = m₀ . c²
Eo = 1.6 x 10¯²⁷ . (3 x 10⁸)²
Eo = 1.44 x 10¯¹⁰ joule
Eo = 1.44 x 10¯¹⁰ / (1.6 x 10¯¹⁹) eV
Eo = 900 x 10⁶ eV
Eo = 900 MeV
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(a) a spring stretches by 0.015 m when a 1.75 kg object is suspended from its end. what is its spring constant? (b) how much mass should be attached to the spring so that its frequency of vibration is f
(a) Total force along y axis,
∑F =ma=0
kx−mg=0 ⇒k= [tex]\frac{mg}{x}[/tex]
The spring constant is, k is
k=(1.5)×(9.8)/(0.020)=14.7/0.020 =735N/m
(b) Frequency f = [tex]\frac{1}{2} \pi[/tex] [tex]\sqrt{\frac{k}{m} }[/tex] ⇒ 4[tex]\pi ^{2}[/tex][tex]f^{2}[/tex] = [tex]\frac{k}{m}[/tex]
[tex]\frac{k}{4\pi ^{2}f^{2} }[/tex]= m ⇒ m = (735)4[tex]\pi ^{2}[/tex](3.0)(0.3)
=(735)×4×(3.75)×(3.75)×(9.0)
=735×4×9.85×9.0=7354×9.85×9.0
=735354.6 N
=2.07kg
The spring constant is the force required to stretch or compress the spring divided by the distance the spring is lengthened or shortened. It is used to determine the stability or instability of a spring and thus the system for which it is intended. It is denoted by k.
Therefore the spring constant is 735 N/m and the mass should be 2.07kg.
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