The radius of the circle when stringe break is 6.93×10^-2.
What is radius?The radius is the distance from the centre of a circle.
When finding the radius of the string at the point it breaks, the tangential
velocity is assumed to be constant.
The radius when the string breaks is 6.9.3×10^-3m
Reasons:
The mass of the small block, m = 0.130 kg
Initial radius of the circle of rotation = 0.800 m
Tangential velocity, v = 4.00 m/s
The radius of the path of rotation is reduced as the string is pulled
Breaking strength of the string = 30.0 N
Required:
The radius of the circle when the string brakes
Solution:
centripetal force =m.v^2/r
Where;
r = The radius of the circle of rotation
When the string brakes, w have;
Centripetal force = Breaking strength of the string = 30.0 N
Which gives;
r=m.v^2/centrigual force =6.93×10^-2
The radius of the circle when, the string breaks r = =6.93×10^-2.
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The lifetime (in hours) of a 60-watt light bulb is a random variable that has a Normal distribution with o = 30. A random sample of 25 bulbs put on test produced a sample mean lifetime of T = 1050. We want to construct a 95% confidence interval for the mean lifetime u. We use 1.96 as the critical value for the 95% confidence interval. If it were desired to have the length of a 95% confidence interval no larger than 14 hours, what is the sample size required to achieve this result? 17 18 70 71
a) 92% Confidence interval: (1027.5,1048.5)
b) Sample size = 100
What is Sample size?
The process of deciding how many observations or replicates to include in a statistical sample is known as sample size determination. Any empirical study with the aim of drawing conclusions about a population from a sample must take into account the sample size as a crucial component.
We are given the following in the question:
Sample mean, = 1038
Sample size, n = 25
Alpha, α = 0.08
Population standard deviation, σ = 30
a) 92% Confidence interval:
[tex]$\mu \pm z_{\text {critical }} \frac{\sigma}{\sqrt{n}}$[/tex]
Putting the values, we get,
[tex]$z_{\text {critical }}$[/tex] at [tex]$\alpha_{0.08}=\pm 1.75$[/tex]
[tex]$1038 \pm 1.75\left(\frac{30}{\sqrt{25}}\right)=1038 \pm 10.5=(1027.5,1048.5)$[/tex]
b) In order to reduce the confidence interval by half, we have to quadruple the sample size.
Thus,
Sample size [tex]$=25 \times 4=100$[/tex]
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for light of wavelength 589 nm, calculate the critical angle for fused quartz when surrounded by water.
The critical angle for the following materials surrounded by air is a) θc = 44.21⁰.
b) θc = 41.14⁰
c) θc = 40.36⁰
What is critical angle ?
The angle of incidence at which the angle of refraction equals 90 degrees is known as the critical angle. When light enters a denser media from such a comparatively rarer medium, the orientation of light changes as well as the light beam bending towards the normal.
sin θ = n2/n1
For air,
n₂ = 1
so,
sin θ = 1/n1
(a) fluorite : n₁ = 1.434⁰
sin θ = 0.697 θc = 44.21⁰.
(b) crown glass: n₁ = 1.52⁰
sin θ = 0.657 θc = 41.14⁰.
(c) sodium chloride : n₁= 1.544⁰
sin θ = 0.647 θc = 40.36⁰.
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in the hydrogen spectrum, the series of lines called the lyman series results from transitions to the n=1 energy level. What is the longest wavelength in this series and in which region of the electromagnetic spectrum does it lie?
According to question the longest wavelength in the lyman series and in which region of the electromagnetic spectrum does it lie is 122nm.
What is meant by Lyman series?When an electron transitions from the smallest energy level of n = 1 to n = 2 (here n is the primary quantum number), known as the Lyman series, it emits ultraviolet light from the hydrogen atom in a sequence of changes.
Breifing:Rydberg equation: 1/L = R(1/n2 - 1/m2)
where L is wavelength, R is Rydberg constant, m and n are quantum numbers of levels involved in transition.
Longest wavelength in Lyman series: n = 1, m = 2
1/L = 1.097 x 107 x (1/1 - 1/2)
L = 1.22 x 10-7 m = 122 nm
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in which of the following directions would the pressure exerted by a liquid increase? check all that apply. in which of the following directions would the pressure exerted by a liquid increase?check all that apply. going up from the bottom of the container toward the surface. going from the surface towards the bottom of the container. going from the left to right side of the container but maintaining the same depth below the surface.
It fluctuates with depth, which makes it complex. Imagine that the container is just a cylinder and that the pressure is the result of a spring pressing on it from the top.
Why is pressure so crucial?The concept of pressure is crucial to fluid mechanics and is utilized in the ideal gas law to characterize a gas's energy, among many other physical applications.
What causes us to feel pressure?When you stress about not meeting your standards or those of other people, you feel pressure. Additionally, you could experience it when circumstances are beyond your control and you lack the time or resources to do the tasks that are expected of you.
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How to calculate the friction force when a body travels through the loop (like in a roaller-coaster) at some point between the top and the bottom?????
Answer:
I think Fgrav=mg
Explanation:
The magnitude of the force acting on the roller coaster car (or passenger) can be calculated using the formula FGRAV=m.g, where the acceleration due to gravity is represented by g (where g=9.8 m/s2).
The magnitude of the normal force depends on three factors—
the speed of the car, the radius of the loop, and the mass of the rider.With the tank at least partially filled so there is some water above the pressure gauge, change fluid density to gasoline: 700kg/m². Record pressure gauge reading ______kPa. Change fluid density to close to honey: 1400kg/m². Record pressure gauge reading ______kPa. Does the pressure double when the density of the liquid doubles? _____Why/why not?
Honey and gasoline have different densities, so the pressure does not double when a liquid's density does.
What is meant by liquid density?A liquid's density serves as a gauge for its weight relative to the volume being evaluated. The liquid that weighs more is denser if two distinct liquids are weighed in quantities that are equivalent. It will float on the water if a liquid that is less thick than water is carefully added to the surface of the water.
Due to the various densities of honey and gasoline, the pressure does not double when the density of a liquid does. Since we all know that the acceleration caused by gravity is constant, I made the assumption that the liquid level would remain the same throughout the activity.
Only the variation in density caused by the chemical composition of the substance has an impact on pressure. According to Pascal's Law, the only situation in which a liquid's pressure could possibly double is if the two objects were the same liquid but were at different heights.
Change fluid density to gasoline at a density of 700 kg/m2, with the tank at least partially filled such that there is some water above the pressure gauge. Note the 118.2 kPa pressure measurement on the gauge. Adjust fluid density to 1400 kg/m2, which is similar to honey. Keep track of the pressure reading, 135.2 kPa. Does the pressure double as the liquid's density does? No why or why not
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What is located directly above the focus where the most damage can occur to structures?
Answer:
option(c) Epicenter
Explanation:
Hypocenter or the focus is the point where an earthquake or an underground explosion originates. center is the point that's directly above the focus on the face of the earth.
During earthquakes, utmost of the time it's the center that encounters topmost damage. The word center was deduced from the Latin word ‘ epicentrum ’ meaning positioned on a center.
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Four identical boxes filled with different objects are initially at rest. A horizontal force is applied for 10 seconds, and the boxes move across the floor. Rank the magnitude of the change i momentum during a 10-second interval for each box from greatest to least. Use >, <, and = signs to indicate your ranking.
The ranking of magnitude of the change in momentum during a 10-second interval for each box from greatest to least is D > A = B > C.
What is the momentum of an object?
The momentum of an object is defined as the product of mass and velocity of the object.
Mathematically, the formula for the momentum of an object is given as;
P = mv
where;
m is the mass of the objectv is the velocity of the objectThe change in momentum of an object is defined as the impulse experienced by object.
F = ma
F = m(Δv)/t
Ft = Δmv
J = Ft = Δmv
J = Ft = ΔP
where;
J is the impulse experienced by the objectF is the applied forcet is the time of motionΔP is the change in momentumThe change in the momentum of the objects during the given time interval is given as;
change in the momentum of object = Impulse experienced by object
change in the momentum of object = Ft
change in the momentum of A = 75 N x 10 s = 750 Ns
change in the momentum of B = 75 N x 10 s = 750 Ns
change in the momentum of C = 50 N x 10 s = 500 Ns
change in the momentum of D = 100 N x 10 s = 1000 Ns
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Two electric model trains are sitting on a long stretch of track. One train has a mass of 5.50 kg and rolls into the second train which is at rest. The second train is much smaller, with a mass of 550.0 g. After the bump, the large and small trains have velocities of 3.2727 cm/s and 7.2727cm/s , respectively. What is the original velocity of the large train before the bump?
The original velocity of the large train before the bump will be 3.999 cm/s.
Velocity can be defined as the rate of change distance with respect to time.
Its SI unit is m/s.According to the law of conservation of momentum,
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
m₁ = mass of the first model electric train = 5.50 kg = 5500 g
u₁ = initial velocity of the first model train
m₂ = mass of the second model electric train = 550.0 g
u₂ = 0 m/s as it is at rest
v₁ = final velocity of the first model train after collision = 3.2727 cm/s
v₂ = final velocity of the second model train after collision = 7.2727 cm/s
By putting the values in the main equation, u₁ can be calculated,
5500*u₁ + 550*0 = 5500*3.2727 + 550*7.2727
5500*u₁ = 17999.85 + 3999.985
5500*u₁ = 21999.835
u₁ = 21999.835/5500
u₁ = 3.999 cm/s
The original velocity of the large train before the bump will be 3.999 cm/s.
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specific heat of gold, aluminum, and water. rank these three substances from the least expected temperature change to the greatest expected temperature change when 10 calories of energy is added
Specific heat of gold, aluminum, and water. The rank of these three substances from the least expected temperature change to the greatest expected temperature change is
water > aluminum > gold
• Specific heat is the amount of heat required to raise the temperature of 1 kilogram of a substance by 1∘C.
• Aluminum's specific heat is 0.216 calories/gm·°C, which is equal to 7 times more than that of gold (0.031 calories/gm·°C). and Water has the highest specific heat capacity of any liquid and solid substance.
• The specific heat of gold is lesser than aluminum and the specific heat of aluminum is lesser than water, which means less heat is required to raise the temperature of gold by a certain difference in temperature.
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In the system of two blocks and a spring shown above, blocks 1 and 2 are connected by a string that passes over a pulley. The initially un-stretched spring connects block 1 to a rigid wall. Block 1 is released from rest, initially slides to the right, and is eventually brought to rest by the spring and by friction on the horizontal surface.
Which of the following is true of the energy of the system during this process?
Potential energy lost by block 2 is greater than the potential energy gained by the spring - is true of the energy of the system during this process
What is potential energy?Potential energy is stored energy that is affected by the relative location of various components in a system. Stretching or compressing a spring increases its potential energy. A steel ball has higher potential energy when lifted above ground than when it falls to Earth.
Because every item moved from its resting posture has stored energy, it is referred to as potential energy because it has the ability to accomplish work when released.
Thus, potential energy lost by the block 2 = potential energy gained by the spring + energy lost to overcome the friction.
Thus, Potential energy lost by block 2 is greater than the potential energy gained by the spring .
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The complete question is as follows:
Block 1 and Block 2 In the system of two blocks and a spring shown above, blocks 1 and 2 are connected by a string that passes over a pulley. The initially unstretched spring connects block 1 to a rigid wall. Block 1 is released from rest, initially slides to the right, and is eventually brought to rest by the spring and by friction of the horizontal surface. 24. Which of the following is true of the energy of the system during this process? (A) The total mechanical energy of the system is conserved. (B) The total mechanical energy of the system increases. (C) The energy lost to friction is equal to the gain in the potential energy of the spring, (D) The potential energy lost by block 2 is less in magnitude than the potential energy gained by the spring. (E) The potential energy lost by block 2 is greater in magnitude than the potential energy gained by the spring.
wave in which the particles vibrate parallel to the direction of wave motion; refraction of waves; the bending of a wave as it enters a new medium at an angle; the combination of two or more waves that result in a single wave; the distance from any point on a wave to an identical point on the next wave:; a phenomenon that occurs when two objects naturally vibrate at the same frequency; reflection and refraction of sound waves; reflection, refraction, diffraction
The wave in which particle vibrate parallel to the direction of the motion are longitudinal waves the bending of the wave at an angle in a new medium is refraction the combination of two or more waves is called superposition and the distance between two identical points in a wave is called wavelength.
The longitudinal waves are the kind of waves in which the particle vibrates parallel to the direction of the motion.
The bending of a wave when it enters into a new medium at any certain angle is called the refraction of waves. The combination of two or more wave that rearald in a single wave is called the superposition a wave and the distance between any two points that are identical to each other in a wave is called the wavelength of a wave.
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a passenger car of an overhead monorail system is driven by one of its two small wheels a or b. select the one for which the car can be given the greater acceleration without slipping the driving wheel and compute the maximum acceleration if the effective coefficient of friction is limited to 0.25 between the wheels and the rail. neglect the small mass of the wheels.
Monorail, sometimes known as a single-rail railroad. This rail could be found either on top of or below the train cars. Cars are supported by wheeled axles that travel along an overhead rail in systems that use them. The system is stabilized gyroscopically.
How is the monorail powered?
Power. Although diesel-powered monorail systems do exist, the majority of current monorails are driven by electric motors fed by twin third rails, contact wires, or electrified channels attached to or enclosed in their guide beams. Some systems in the past, like the Lartigue Monorail, utilized steam engines.
How does monorail technology work?
A monorail is a type of railway system where the trains are either supported or hung and the track is made up of a single elevated rail, beam, or track. The phrase is also used to refer to the system's beam or the vehicles that move along a beam or track like that.
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A piano tuner stretches a steel piano wire with a tension of 1070N . The wire is 0.400m long and has a mass of 4.00g .
A) What is the frequency of its fundamental mode of vibration?
B) What is the number of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to 1.00
The frequency of its fundamental mode of vibration is 409Hz and the number of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to 1.00x10^4 is 24
Given tension of a steel piano wire (T) = 1070N
Length of wire L = 0.400m
Mass of piano wire M = 4g
We know linear density = mass/length = 4x10-3/0.400 = 0.01 kg/m
fundamental frequency f = 1/2L√T/µ
f = 1/2x0.4x√1070/0.01 = 409Hz
number of loops is n
n = f'/f = 1x10^4/409 = 24.5 = 24
Hence the frequency of its fundamental mode of vibration is 409Hz and the number of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to 1.00x10^4Hz is 25.
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An air-filled parallel-plate capacitor has plates of area 2.60 cm2 separated by 2.50 mm. The capacitor is connected to a(n) 17.0 V battery. (a) Find the value of its capacitance. pF (b) What is the charge on the capacitor? рC c) What is the magnitude of the uniform electric field between the plates? N/C
a) The value of its capacitance is 0.90 pF
b) The charge on the capacitor is 15.3 pC
c) The magnitude of the uniform electric field between the plates is 6.8 N/C.
given that :
are of the parallel plate capacitor = 2.60 cm²
distance d = 2.5 mm
potential = 17 V
a) The value of its capacitance is :
C = Eo A / d
= ( 8.85 × 10⁻¹² C² / N . m ) ( 2.60 × 10⁻⁴ m²) / 2.50 × 10⁻³
= 0.90 × 10⁻¹² F
= 0.90 pF
b) The charge on the capacitor is :
q = CVo
q = 0.90 × 10⁻¹² F × 17 V
q = 15.3 × 10⁻¹² C
q = 15.3 pC
c) The magnitude of the uniform electric field between the plates is :
E = Vo / d
E = 17 / 2.50 × 10⁻³
E = 6.8 N/C
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What is work done by time?; What is the name of the work done?; What is the rate of doing work known as?
Power is work done by time and rate of doing work the SI unit of power is Watt (W) which is joules per second (J/s).
Sometimes, we want information about how quickly work is done. This is called “power.” The Definition of Power: The rate at which work is done. Power is related to the force or forces that suppy by it.
Mathematically,
The Definition of Power P ≡ dW/dt
The units of power are, 1Joule/1second ≡ 1Watt = 1W. The horsepower is an alternate unit: 1hp=746W.
We weren’t familiar with joules, the unit for work, but you are comfortable with the units of power. For example, a 100W light bulb or a 1200W hair dryer. A 100W bulb uses 100J every second. Similarly, a 1200W hair dryer uses 1200J every second.
The Work-Energy Theorem explains that when net work is done on an object, the object speeds up. The Work-Kinetic Energy Theorem describes what happens when a particular force, such as the one supplied by the catapult, does work to cause only the kinetic energy of the object to change.
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Physics Astone is dropped from a 45m tall building calculat a velocity as it hits the ground b time to care ach on the ground. c. Velocity after osec
a) The velocity as the Physics Astone hits the ground be 29.69 m/s.
b) Time to reach on the ground be 3.03 second.
c) Velocity after 0 sec of falling is zero.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given that: Physics Astone is dropped from a 45m tall building.
Acceleration due to gravity: g = 9.8 m/s^2.
So,
a) velocity as it hits the ground = √(2gh) = 29.69 m/s.
b) Time to reach on the ground = velocity/acceleration = 29.69/9.8 second = 3.03 second.
c) Velocity after 0 sec of falling is zero.
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According to Newton's Third Law, if a hammer puts a force of 100 N on a nail, how much force does the nail put back on the hammer?
A. -100 N
B. 50 N
C. 200 N
D. -200 N
Answer:
option (A) is correct.
Explanation:
Newton’s Third Law: Action & Reaction Whenever one object exerts a force on a second object, the second object exerts an equal and opposite force on the first. His third law states that for every action (force) in nature there is an equal and opposite reaction. If object A exerts a force on object B, object B also exerts an equal and opposite force on object A.
(a) On the dot below, which represents the block, draw and label the forces (not components) that act on the block as it is at rest on the incline. Each force must be represented by a distinct arrow starting on, and pointing away from, the dot. The dashed line represents the direction of the incline.
(b) Derive an expression for the maximum value of θ for which the block will not slide down the incline.
Assume the value of θ is greater than the value from part (b).
(c) Derive an expression for the acceleration of the block.
(d) The incline is set with the angle θ. The angle is slowly increased until the block begins to slide down the incline. After the block begins to slide, the angle is kept constant.
Numerous forces are applied to the block in a circular route; the forces at the path's lowest point are as follows. Vertically and downwards, the weight that the Earth exerts on the body.
Describe some instances of components.Component examples include a single button on a graphical user interface, a tiny interest calculator, and an interface to a database management. On various servers throughout a network, components may be set up and can connect with one another to provide the required services.
What do simple components refer to?With the use of simple component analysis, you may condense a huge number of closely linked variables into a manageable amount of useful components. However, it offers a more understandable resolution. It is comparable to principal component analysis.
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Which of the following is an assumption rather than a prediction of Einstein's special theory of relativity?
A) length contraction B) time dilation C) No material object can reach or exceed the speed of light. D) the constancy of the speed of light E) the equivalence of mass and energy
the constancy of the speed of light
No material object can reach or exceed the speed of light is the assumption.
The Principle of Relativity : The states of changed physical systems are not affected, whether these changes of state be referred to the one or the other of two systems in uniform translatory motion relative to each otherThe Principle of Invariant Light Speed : Light is always propagated in empty space with a definite velocity c which is independent of the state of motion of the emitting body.In relative theory, reference frames play a vital role. It is used to measure a time of events by using a clock.An event is nothing but an occurrence that refers to a location in space corresponding to the reference frame. For instance, the explosion of a fire flower can be considered as an event.To know more about theory of relativity visit:
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General Questions: In a collision between a huge SUV and a small hybrid car, the SUV exerts a larger force on the hybrid than the hybrid exerts on the SUV. A True O B. False C. It depends on whether the collision is a head-on collision or a rear-end collision. D. It depends on which car moves faster
'In a collision between a huge SUV and a small hybrid car, the SUV exerts a larger force on the hybrid than the hybrid exerts on the SUV' is false.
Every action has an equal and opposite response, according to Newton's third law of motion.
The above law says that, forces on both the vehicles are equal and opposite.
So, the force exerted by a huge SUV and a small hybrid car are the same. And SUV does not exert a larger force as it is huge.
Impact on both the vehicles is also same as the impulse is nothing but the force multiplied by the time of contact. The time of contact is same for both vehicles.
Thus, the above statement is false.
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the de broglie wavelength of a 0.0810 gram bullet traveling at the speed of 658.3 m/s is m.
The de broglie wavelength of the bullet of mass 0.081 g is 1.24×10⁻³⁸ m
What is wavelength?Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
To calculate the de broglie wavelength, we use the formula below.
Formula:
λ = h/mv................... Equation 1Where:
λ = de broglie wavelength of the bulletm = Mass of the bulletv = Velocity of the bulleth = Planck's constantFrom the question,
Given:
h = 6.62×10⁻³⁴ J/Hzm = 0.081 = 0.000081 kgv = 658.3 m/sSubstitute these values into equation 1
λ = (6.62×10⁻³⁴)/(0.000081×658.3)λ = 1.24×10⁻³⁸ mHence, the de broglie wavelength of the bullet is 1.24×10⁻³⁸ m
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in this kind of amplifier, the output is exactly in phase to input. when a ve voltage is applied to the circuit, then the o/p will be positive. the o/p is non-inverted in terms of phase.
The amplifier is non-inverting amplifier.
What is amplifier?
A circuit that enlarges a signal is called an amplifier. The idea behind an amplifier is to create an output signal that is a copy of the input signal but with a stronger magnitude.
What is non-inverting amplifier?
An operational amplifier circuit with a non-inverting amplifier has an output voltage that is in phase with the input voltage. The inverting op amp, which generates an output signal that is 180 degrees out of phase, is its complement. Its output and input signal are in phase. It just amplifies the signal without altering its phase. It does not invert the phase of the signal, as its name would imply.
The amplifier is non-inverting amplifier.
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which of the following is not one of the credit categories for points in leed certification? energy and atmosphere
Construction and demolition waste management planning is not a credit in the LEED v4.1 BD C MR category.
We are confident that the rating system achieves those objectives because this version of LEED is the result of countless hours of work by our volunteers and staff.
The world's standard for measuring the efficiency of green building design, construction, and operation is called LEED. With more than 93,000 projects registered and certified globally and more than 19 billion square feet of space, different LEED versions have steadily advanced the global green building market over the past 18 years.
Regions and markets develop at different rates, and we want to be sure we can meet the needs of every member of the green building community. LEED v4.1 is the culmination of a number of improvements that will raise the bar for our standards, promote leadership, and make our platform more accessible, user-friendly, and most importantly, collaborative than ever.
The platform for LEED v4.1 will be the most open and transparent one yet.
The question is incomplete. the complete question is 'a) construction and demolition waste management planning b) building life cycle impact reduction c) construction and demolition waste management d) building product disclosure and optimization - sourcing of raw materials'
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Six artificial satellites complete one circular orbit around a space station in the same amount of time. Each satellite has mass m and radius of orbit L. The satellites fire rockets that provide the force needed to maintain a circular orbit around the space station. The gravitational force is negligible. Rank the net force acting on each satellite from their rockets. Rank from largest to smallest. To rank items as equivalent, overlap them.
ω is the same for all satellites.
T = ω2 mL, scaled as the product of m and L
a) milliliters = 800*5000 = 4*10^6
b) milliliters = 100*2500 = 0.25*10^6
c) milliliters = 100*10000 = 1*10^6
d) milliliters = 200*5000 = 1*10^6
e) milliliters = 300*7500 = 2.25*10^6
f) milliliters = 400*2500 = 1*10^6
a, e, c=d=f, b
A satellite or artificial satellite is an object intentionally placed in orbit in space.
Apart from passive satellites, most satellites have power generation systems for onboard equipment such as: B. Solar panels or thermoelectric radioactive isotope generators (RTG). Most satellites also have a way of communicating with ground stations called transponders.
Many satellites use standardized buses to save cost and effort, but the most popular are the smaller CubeSats.
Satellites are launched by rockets from the Earth's surface high enough to avoid their orbits collapsing in the atmosphere. The satellite can then change or maintain its orbit by means of propulsion, usually chemical or ion thrusters.
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in fig. 15-31, two springs are attached to a block that can oscillate over a frictionless floor. if the left spring is removed, the block oscillates at a frequency of 30 hz. if, instead, the spring on the right is removed, the block oscillates at a frequency of 45 hz. at what frequency does the block oscillate with both springs attached?
Frequency that the block oscillate with both springs attached is 45 Hz.
Let the spring constants be k₁ and k₂.
When displaced from equilibrium, the magnitude of the net force exerted by the springs is |k₁x + k₂x| acting in a direction so as to return the block to its equilibrium position ( x = 0 ).
Since the acceleration a = d²x / d², Newton’s second law yields,
m( d²x / d² ) = - k₁x - k₂x,
Substituting x = x(m) cos ( ωt + Φ) and simplifying we find
ω² = (k₁ + k₂) / m
where ω is in radians per unit time. Since there are 2π radians in a cycle, and frequency f measures cycles per second, we obtain
f = ω / 2π = 1 / 2π (√k₁ + k₂ / m)
The single springs each acting alone would produce simple harmonic motions of frequency
f₁ = 1 / 2π √(k₁ / m) = 30 Hz
f₂ = 1 / 2π √(k₂ / m) = 45 Hz
respectively, Comparing these expressions, the frequency will be
f = √(f₁² + f₂²)
f = √(30² + 45²)
f = 45 Hz
Therefore, frequency that the block oscillate with both springs attached is 45 Hz.
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If the speed of every atom in a monatomic ideal gas were doubled, by what factor would the Kelvin temperature of the gas be multiplied?
a) 4
b)2
c)1
d) 1/2
e) 1/4
If the given speed of any atom in a monatomic state of an ideal gas were doubled, then by using four factor we would multiplied the Kelvin present temperature of the gas. Option (a) is correct.
We recollect a monatomic best fueloline having debris of mass m that don't engage and whose middle of mass stays at rest. For a monatomic best fueloline (which include helium, neon, or argon), the most effective contribution to the strength comes from translational kinetic strength. The common translational kinetic strength of a unmarried atom relies upon most effective at the fueloline temperature and is given through the equation: Kavg = 3/2 kt.
These are helium, neon, argon, krypton, xenon, and radon. Noble gases have a complete outer valence shell making them as an alternative non-reactive species. Many gases which include nitrogen, oxygen, hydrogen, noble gases, a few heavier gases like carbon dioxide and combinations which include air, may be dealt with as best gases inside affordable tolerances over a significant parameter variety round widespread temperature and pressure.
We know that,
K.E = (1/2) m*[tex]V^{2}[/tex]
If we doubled the speed then 2*2=4 times its affect the temperature.
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How to find the net force of an object?
Answer:
add molecules
Explanation:
What sort of energy do machines use to do work?; What is a machine that increases force?; What's a machine that increases speed?; What is a change caused by kinetic energy as well as a change that involves potential energy?
Mechanical energy is the energy that machines use to do work and levers are a machine that increases force sleever that increases speed.
There are two types of hydroelectric power projects is conventional and pumped storage. In a conventional hydroelectric facility, water passes from the intake and out the outflow one time.
In a pumped storage facility, water may pass through the turbine multiple times. The operation of a hydropower project, like any power plant, may generate solid and industrial wastes.
Hydroelectric power generation decommissioning includes waste management of any reservoir sediments, especially where power plant placement is downstream from significant industrial or natural environmental hazard sources.
In Hydroelectric power generation, kinetic energy of the water is converted into the mechanical energy of the turbine which further converted into the electrical energy.
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If you are learning to juggle it would be good to slow the ball's acceleration. You can do this by using: A. Lighter balls B. Heavier balls C. More balls D. None of the above
The answer is None of the above.
What is acceleration?
Acceleration is the rate at which velocity changes over time, both in terms of speed and direction. A point or object travelling in a straight path is accelerated if it accelerates or decelerates.
The acceleration imparted to objects as a result of the combined influence of gravitation and centrifugal force.
During juggling, there is no way to slow down ball's acceleration. Gravity acts as a downward acceleration force as soon as a ball is thrown into the air. The only way a juggler may slow down a pattern is by changing the height of his throws because the acceleration of gravity is constant.
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