The greater the mass of an object, the more particles there are in the sample and the more thermal energy it possesses at the same temperature. Assume you have some boiling hot water at 100 degrees Celsius to demonstrate this concept.
What is thermal energy and what are some examples?Thermal energy is shown by boiling water on a stove. Thermal energy is created when the atoms and molecules of a material vibrate faster as the temperature rises.
What is an example of a mass?Mass is best defined as the quantity of matter contained in any item or body. Everything in our environment has mass. For example, a table, a chair, your bed, a football, a glass, and even air has mass. That being said, all objects are light or heavy because of their mass.
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If a net force of 10. Newtons acts on a 6.0-kilogram mass for 8.0 seconds, the total change of momentum of the mass is
The object's momentum will vary by an amount equal to 80 N-s.
Describe momentum.
The relationship between a particle's mass and velocity determines its momentum. Having both a force and motion, it has both a direction and a magnitude. The force exerted on a particle is equal to the rate at which its momentum is gaining momentum over time, according to Isaac Newton's second equation of motion.
Newton's second law states that if a steady force acts on a particle for a predetermined period of time, the impulse, which is the result of the force and the intervals (the impulse), is equal to the change in momentum.
The time it would take a constant action to bring a particle to rest, on the other hand, is the measure of a particle's momentum.
According to the details in the query,
The system's starting momentum is 0.
F = ma
a = F/m
a = 10/6
a = 1.67 m/s²
utilize the motion equation,
v = u + at
v = u + (1.67)(8) (8)
v = 13.33 m
The momentum will then be,
p = mv
p = 6 × 13.33
p = 80 N-s.
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How do you find thermal energy from kinetic and potential energy?
Thermal energy can be found from kinetic and potential energy by calculating the amount of work done on an object. Work is equal to the amount of force multiplied by the distance moved by the object.
The Kinetic energy is equal to the mass of the object multiplied by the square of its velocity. Potential energy is equal to the mass of the object multiplied by the acceleration of gravity multiplied by the height of the object. Thermal energy is equal to the sum of the kinetic and potential energies.
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What type of protein secondary structure does the structure shown here (Fiqure 1) represent? O a-helix O a-sheet
O B- helix O B-sheet O y turn
The correct option is C. β-sheet type of protein secondary structure does the structure shown here (Figure 1) represent.
A shape is an arrangement and organization of interrelated elements in a fabric item or gadget, or the item or system so prepared. material systems encompass guy-made items consisting of homes and machines and natural items which include organic organisms, minerals, and chemical compounds. abstract structures consist of statistics structures in pc science and musical shape.
Sorts of the shape include a hierarchy (a cascade of one-to-many relationships), a network providing many-to-many links, or a lattice presenting connections among additives that can be pals in space.
Built structures are widely divided by using their various design approaches and requirements, into classes together with constructing systems, architectural structures, civil engineering structures, and mechanical structures.
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Complete Question:
What type of protein secondary structure does the structure is shown here (Figure 1) represent?
A). α-helix
B). α-sheet
C). β- helix
D). β-sheet
E). γ turn
if energy of 10 watts is transferred into a chamber of helium, how long does it take to vaporize 1 kg of liquid helium
energy takes 25 atmospheres of pressure to evaporate 1 kilogrammes liquid helium, and that pressure must be applied at or below the freezing point of helium, which is 458 °F.
How is helium in liquid form transported?From manufacturing sources to stockpiling and transfill facilities, liquid helium is normally delivered. Tankers with a capacity of 5,000 and 11,000 gallons have an annular space that is vacuum-sealed, nitrogen-shielded, and has multiple layers of insulation.
How is liquid helium produced?You need to chill helium gas to just a few temperatures above absolute zero in order to produce the liquid & superfluid states. By compressing the air and then releasing it through a tiny nozzle, this is accomplished. If you've used any aerosol, you may have noticed that the gas rapidly cools as it expands.
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21 An antiaircraft shell is fired vertically upward with a muzzle velocity of 1000 ms-¹. Calculate the maximum height it can attain, the time taken to reach this height, the instantaneous velocities at the ends of 20 sec and 50 sec. d. When will its height be 37.5 km? Interprete your result. Neglect air resistance. a. b. C.
find the value of e, the margin of error, for c = 0.99, n = 16 and s = 2.6.
The margin of error is 3.96.
The value of e, or the margin of error, can be calculated using the formula:
e = z*(s/√n)
where:
z = the critical value from a standard normal distribution table (for c = 0.99, z = 2.576)
s = the sample standard deviation (in this case, s = 2.6)
n = the sample size (in this case, n = 16)
So, to find the margin of error for this scenario, we plug the given values into the formula:
e = 2.576*(2.6/√16) = 2.576*(2.6/4) = 2.576*0.65 = 3.96
Therefore, the margin of error is 3.96.
It's worth noting that this value represents the range within which we expect the true population value to fall with a certain level of confidence
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The spring in a scale stretches 1 centimeter when a 5-newton object hangs from it. How much does an object weigh if it stretches the spring 2 centimeters
The spring in a scale stretches 1 centimetres when a 5 newton object hangs from it. The required weight of an object is 10 N if it stretches the spring 2 centimetres.
Hooke's law tells us that, F = -kx
where, k is the spring constant
x is the distance stretched by a spring
F is the force
Given that,
Length x₁ = 1 cm
Force F₁ = 5 N
Length x₂ = 2 cm
F₂ = ?
From the above equation, we can write,
F₁/x₁ = F₂/x₂
Making F₂ as subject, we have,
F₂ = F₁/x₁ × x₂ = 5/1 × 2 = 10 N
Thus, the required weight of an object is 10 N if it stretches the spring 2 centimetres.
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An electric dipole is formed from +/- 5. 0 nC point charges spaced 3. 0 mm apart. The dipole is centered at the origin, oriented along the y-axis. Part A What is the electric field strength at point (x, y) = (25 mm, 0 cm)? Express your answer using two significant figures. Part B What is the electric field strength at point (x, y) = (0 cm, 25 mm)? Express your answer using two significant figures
The electric field strength at point (x,y) = ( 25 mm ,0cm) is =16321.0769 N/C
The electric field strength at point (x,y) = (0cm, 25 mm) is =35321.58999 N/
What is meant by electric strength?An insulating substance can withstand a certain voltage at its electric strength before losing its ability to insulate. The thickness of the insulating material, as well as the test technique and conditions, will all affect the value for the electric strength.To avoid flash over before breakdown, samples with a thickness of 2mm or more are often examined in oil. Once the breakdown voltage and sample thickness have been determined, the dielectric strength may be estimated. Dielectric strengths for the majority of polymers range from 10 to 30 kV/mm, which is a respectable value.A material's capacity to withstand large voltage swings without experiencing current breakdown is measured by its dielectric strength.To learn more about electric strength refer to:
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The electric field strength at point (x,y) = ( 20 mm ,0cm) is =16321.0769 N/C
The electric field strength at point (x,y) = (0cm, 20 mm) is =35321.58999 N/C
What distinguishes an electric field from an electric field of strength?A vector is a quantity with both a magnitude and a direction, like the electric field. The vector's magnitude corresponds to the electric field intensity.
What do you mean by electric field?Each point in space has an electric field associated with it when there is charge present in any form. E, often known as electric field strength, electric field intensity, or just the electric field, is a mathematical constant that expresses the strength and direction of an electric field.
Given:
Charge = 5.0 nC
x = 25 mm, y = 0 cm
The electric field at any given point of the dipole is given as:
E= (KP) ÷ (r^2 + a^2)^3/2
Where:
K = 9x10^9 Nm^2/c^2 (coloumb constant)
P = (0.003) (5x10^-9c) which is the movement of the dipole
(0.003) is arrived at when mm is converted to m. 3.0 mm space apart was converted to a meter.
r= the point, in the question above is 20mm = 0.02m
Now, the electric field (E),
E = (KP) ÷ (r^2 + a^2)^3/2
= (9x10^9 Nm^2/c^2) (0.003 m) (5x10^-9c) ÷ [ (0.02m)^2 + (0.003)^2]^3/2
= 0.135 ÷ (8.271513x10^-6)
=16321.0769 N/C
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is often caused by improper loading, not only in terms of the load impedance itself, but in terms of how much capacitive or inductive reactance is part of that impedance.
Resistance and impedance (in AC circuits) are one such pair of synonyms (DC circuits). Technically speaking, they both stand in the way of current flow, but factor ability of impedance also takes resistance into account.
Obviously all, reactance and inductance are also included in this (capacitors).
Impedance, which results from the interaction of reactance and ohmic resistance, is the active resistance to AC of an electric circuit or component. We also describe it as any restriction of an electric current's ability to move energy when voltage is applied.
The more precise meaning is the overall resistance a circuit of electricity provides to an AC current flowing at a single frequency. In conclusion, we measure reactance and resistance in ohms, and we denote this measurement with the sign Z.
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On what interval is the factor by which the office noise is related to the standard threshold of hearing
The interval by which the factor by which the office noise is related to the standard threshold of hearing is (100,000, 10,000,000].
The factor by which the office noise is related to the standard threshold of hearing is given by x = 10^(d/10), where d is the sound intensity in decibels. Since the decibel reading was consistently above 50 but never above 70, we can calculate the range of x using the following:
50 < d <= 70
10^(50/10) < x <= 10^(70/10)
To find the range of x, we need to calculate the 10^(50/10) and 10^(70/10)
10^(50/10) = 10^5 = 100000
10^(70/10) = 10^7 = 10000000
Therefore, the range of x, the factor by which the office noise is related to the standard threshold of hearing is (100,000, 10,000,000].
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Your question is incomplete but most probably the complete question is:
Sound intensity, in decibels, d, can be written using a comparison factor, x, that compares sound intensity to the standard threshold of hearing. d = 10log(x) A sensor measures the sound intensity, in decibels, of an office over time. The decibel reading was consistently above 50, but never above 70. On what interval is the factor by which the office noise is related to the standard threshold of hearing? (17, 18.5) (17, 18.5] (100,000, 10,000,000] (100,000, 10,000,000)
On a cold winter night, a story comes on the news at stations across the northern part of Florida recommending that residents turn on their outside faucets to allow a slow drip of water. Why would that be recommended?
a-It keeps the ground from drying out.
b-It protects the water from shrinking in the pipes.
c-It stops the water from getting too salty.
d-It prevents the water from bursting the pipes.
On a cold winter night, a story comes on the news at stations across the northern part of Florida recommending that residents turn on their outside faucets to allow a slow drip of water. It would that be recommended because it prevents the water from bursting the pipes.
Option D is correct.
How do we prevent freezing pipes during freezing temperatures?During freezing temperatures, one of the things that you can do in order to prevent water from freezing and bursting the pipes is to run your faucet because running water does not freeze as easily as standing water, so letting it drip overnight will help.
The body faces the effects when subjected to freezing temperatures as it the body begins to lose heat faster than it can be produced. Prolonged exposure to cold will eventually use up your body's stored energy. The result is hypothermia, or abnormally low body temperature.
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How far from the base of a building must a 25 ft ladder be placed so that it reaches 15 ft up the wall?
Using the Pythagorean theorem, we can determine that the best distance for the ladder is 20 feet away from the base of the building.
The third side of this triangle is unknown, so we will apply the Pythagorean theorem to determine it. There is 25 feet of ladder available, the wall is 15 feet above the ground, the ladder must be at least that high.
In order to calculate the distance between the ladder and the building =
X = √(25^2) - (15^2)
= 20 feet
Thus, the ladder should be placed 20 feet away from the base of the building.
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In the grating equation nλ=d sin θ, the quantity θ will be determined in the lab: Using meter sticks and geometry/trigonometry, using the angular scale on the experimental apparatus, using a protractor.
In the laboratory, the quantity θ in the grating equation nλ=d sin θ can be determined in several ways.
What is laboratory ?
A laboratory is a specialized facility used to conduct scientific research, experiments, and analysis. Laboratories are typically equipped with instruments, tools, and other equipment necessary for conducting experiments, tests, and analyses. They may also be used to produce and store chemical, biological, or physical samples and materials.
Meter sticks and geometry/trigonometry can be used to measure the lengths of the grating lines, d, and the wavelength of light, λ, and then calculate the angle using the formula θ = sin-1 (nλ/d). The angular scale on the experimental apparatus can also be used to measure the angle directly. Alternatively, a protractor can be used to measure the angle directly.
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Complete Question
In the grating equation nλ=d sin θ, the quantity θ can be determined in the lab by using meter sticks and geometry/trigonometry, using the angular scale on the experimental apparatus, or using a protractor. To determine the value of θ using meter sticks and geometry/trigonometry, the lengths of the grating lines, d, and the wavelength of light, λ, must first be measured. Using these values, the angle can be calculated using the formula θ = sin-1 (nλ/d). To determine θ using the angular scale on the experimental apparatus, the angular scale can be used to measure the angle directly. To determine θ using a protractor, the angle can be measured directly using the protractor.
Which statements describe properties of stars? Check all that apply.
The properties of stars are: mass, age, distance, metallicity (chemical composition), variability and motion through space.
What is star?An astronomical object known as a star is made up of a bright plasma spheroid that is held together by gravity. The Sun is the star that is closest to Earth.
Other stars are also visible at night with the unaided eye, but because to their great distances from Earth, they appear as stationary points of light. Many of the brightest stars have names, and the most notable stars have been grouped into constellations and asterisms.
Star catalogues have been put out by astronomers that list the known stars and offer standardized stellar labels.
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Answer: Stars produce energy through nuclear fusion.
Stars are massive objects composed of gas.
Stars are composed primarily of hydrogen and helium.
P.S can I get the brainiest?
The more massive that an object is, the ______ (more, less) that the object will be attracted to Earth.
More large items will attract each other as the gravitational force between them grows because gravitational force is directly proportional to the mass of both interacting objects.
What transpires when an item has a higher mass?An object's inertia increases with mass, hence it requires more force to alter its state of motion. The mass of an item, which is roughly equal to the quantity of material inside it, determines how much inertia it has.
Why does gravity increase when an item becomes bigger?Theoretically, anything with mass generates small particles known as gravitons, which is why mass and gravity are related. The gravitational attraction is caused by these gravitons. Gravitons increase with mass.
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A 200-kg crate is pushed horizontally with a force of 720 N. If the coefficient of friction is 0.20, calculate the acceleration of the crate.
1.54 is the acceleration of the crate. The Second Newton's law states that an object acquires acceleration when an external unbalanced net force is applied to it.
Acceleration is proportional to the net force.That acceleration is proportional to the net force and inversely proportional to the mass of the object. It can be expressed with the formula: Where, Fn = Net force, m = mass. The m=200 kg crate is pushed horizontally with a force Fa=700 N. The friction force opposes the motion and a horizontal net force appears causing the acceleration.
Forces in the vertical direction?The forces in the vertical direction are in balance since the crate does not accelerate in that direction, thus the weight and the normal force are equal: N = W = mg, The friction force can be calculated by using the coefficient of friction μ: μ*n. Calculating the normal force: N = 200 * 9.8 = 1,960 N. The friction force is f=0.2*1960, f=392. The horizontal net force is 308. Finally, the acceleration is computed: m/s^2
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Ammeters that respond to the average value convert the alternating current into direct current. This value must be increased by a factor of _____ to change the average reading into the rms value for a sine wave current.
The average reading must be multiplied by a multiplier of 1.111 to become the rms value for just a sine wave flow.
Describe the wave current?Wave-current interaction in fluid dynamics is the interaction of a mean flow with surface gravity waves.After the interaction begins, both the waves as well as the average flow are impacted since the contact implies an energy exchange.
What are the tide and the wave?While the tide is a type of vertical motion of the ocean's water, waves and ocean circulation represent horizontal movements of the water.
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The Endocrine System
The body is made up of several systems of
that work together to
life. The endocrine
system is one of these.
make up most of the
endocrine system, which is found in the entire body, and the
These glands secrete
that regulate
bodily
and reactions. Hormones are
that tell certain
of the body to do
certain things.
for example, tells the body that
there is a need for physical activity, which is why we feel
while running, dancing, or playing sports.
Hormones are substances that communicate with your organs, skin, muscles, and other tissues through your blood to coordinate various bodily functions.
What are the skin's primary purposes?It serves as a sensory organ (touch, temperature detection), aids in temperature control, protects against mechanical, thermal, and physical injury as well as hazardous substances, prevents moisture loss, reduces the harmful effects of UV radiation, has an immune system that can detect diseases, etc.
The six primary functions of the skin are: protection, absorption, excretion, secretion, regulation, and sensation.
Our first line of defence against harmful chemicals, radiation, and poisons is our skin.
The outside world is kept at bay by a skin barrier. is the first line of defence against potentially harmful microbes.
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What is the difference between dynamic and passive stretching?
It is a passive stretch if it depends on an outside force. Stretches that are passive and static are a fantastic technique to increase flexibility and can also be utilised to cool down.
What is the difference between static and passive stretching?Passive stretching, which is called a static stretch, is a technique in which you remain calm and do not add to the range of motion. Static stretching involves stretching all the way to the end and holding the stretch. An external force, like a partner, is instead produced by an external force.
This stretching technique relies on a prop, accessory, or partner to help increase the stretch, thus you aren't actively assisting in extending your range of motion. Passive stretches improve flexibility while reducing muscle soreness and tiredness after a workout.
Stretching with movement is known as dynamic stretching. It stretches the muscles by using the muscles themselves. The usual "static" stretching is not like this.
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An antelope of mass 55 kg that is running at a speed of 10 m/s
and a tiger of mass 140 kg that is running at a speed of 15 m/s.
What's the total linear momentum of the antelope and the
tiger?
The total linear momentum of the antelope and the tiger is 2650 Kg m/s.
Linear momentum: what is it?The result of a system's mass x its velocity is its linear momentum. Linear momentum is denoted by the sign p = m v. The relationship between momentum and an object's mass and speed is straightforward.
Given -
mass of antelope = 55 Kg
mass of tiger = 140 Kg
speed of antelope = 10 m/s
speed of tiger = 15 m/s
from linear momentum formula
P = m × v
For antelope-
P = 55 × 10
P = 550 Kg m/s
For tiger-
P = m × v
P = 140 × 15
P = 2100 Kg m/s
Hence, total momentum is-
550 + 2100
2650 Kg m/s
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Define the following
a. Length:
b. Density:
c.Mass:
d. Volume:
e Standard:
Answer:
a.the measurement or extent of something from end to end; the greater of two or the greatest of three dimensions of a body.
b.is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume.
c.Mass is a physical magnitude and general property of matter that expresses the inertia or resistance to change in motion of a body.
d.Mass is a physical magnitude and general property of matter that expresses the inertia or resistance to change in motion of a body.
e.
A ramp is 12 meters long and I need to use it to raise up a box 4 meters. The box weighs 200 newtons. How much force are you going to need to exert to get the box up the ramp
The force required to raise the box up the ramp when the ramp is 12 meters long, the box is 4 meters and the box weighs 200 newtons is 653.33 N (7840/12)
How do you determine the force required to raise the box up the ramp?To determine the force required to raise the box up the ramp, we can use the work-energy principle.
Work = Change in PE
W = PEf - PEi
where
W = work done (Joules)
PEf = final gravitational potential energy (Joules)
PEi = initial gravitational potential energy (Joules)
The gravitational potential energy of an object is given by the formula:
PE = mgh
where
m = mass of the object (200 N)
g = acceleration due to gravity (9.8 m/s^2)
h = height (4 meters)
We can find the change in potential energy as follows:
PEf = mgh = 200 x 9.8 x 4 = 7840 J
PEi = mgh = 200 x 9.8 x 0 = 0 J
So, the change in potential energy is 7840 J.
Now we can calculate the work done as:
W = PEf - PEi = 7840 - 0 = 7840 J
The work done is equal to the force exerted on the object multiplied by the distance it is moved:
W = F x d
7840 = F x 12
So, the force required to raise the box up the ramp is 653.33 N (7840/12)
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A box is released from the top of a frictionless track. It starts from rest and has a speed of 14 m/s at the bottom. What is the height of the track
If we use the aceleration equation, we can calculate the height value: The height of the track is: 98.04 m,
The height of the track can be calculated using the equation:
h = (v^2)/(2g)
Where h is the height, v is the velocity, and g is the acceleration due to gravity (9.8 m/s^2).
Therefore, the height of the track is:
h = (14^2)/(2*9.8) = 98.04 m
The equation h = (v^2)/(2g) is derived from the equation of motion for an object moving in a uniform gravitational field. This equation states that the change in potential energy is equal to the kinetic energy of an object. The potential energy of an object is determined by its height in the gravitational field, and the kinetic energy of an object is determined by its velocity. Therefore, the equation of motion can be used to calculate the height of an object, given its velocity.
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A photon is ___________________. a type of wave a form of kinetic energy a quantum of light an electrostatic force
The photon is typically described as an electromagnetic (EM) wave, such as the image below. These are the two components of the wave longitudinal and transverse.
What is a photon?A photon is a particle of light which essentially is a packet of electromagnetic radiation. The energy of the photon depends on its frequency (how fast the electric field and magnetic field wiggle, this needs better wording, for 'fast electric field' and 'wiggle'.
What is a photon made of?A photon is a tiny particle that comprises waves of electromagnetic radiation. As shown by Maxwell, photons are just electric fields traveling through space. Photons have no charge, no resting mass, and travel at the speed of light.
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When the displacement in SHM is two-thirds the amplitude xm, what fraction of the total energy is kinetic energy
The displacement in SHM is 2/3 of amplitude and the fraction of total kinetic energy is Ek = 5/9.
Let’s derive the equations needed from the first principle. The displacement for SHM with amplitude A and angular speed is:
s = A sin(ωt) ---- (1)
Differentiate the displacement to get the velocity:
v = s′ = A ωcos(ωt)
So for a mass m, the kinetic energy is:
Ek = 1/2 mv²
Ek = 1/2 m × (Aωcos(ωt) )² ---- (2)
At time t = 0 the displacement s = 0 and so all the energy is kinetic. Therefore the total energy is:
E (total) = 1/2m ×( Aωcos(0) )²
E (total) = 1/2m × (Aω)² ---- (3)
We can rephrase the kinetic energy in terms of the total energy by comparing (2) and (3):
Ek = E (total) cos²(ωt)
Using the identity cos² (x) + sin² (x) = 1, we can rewrite this equation as:
Ek = E total (1 − sin²) (ωt)) ---- (4)
Additionally, we are aware that potential energy U = E(total) Ek, so
U = E (total) − E (total) (1 − sin²(ωt) )
U = E (total) sin²(ωt) ---- (5)
Now in this question, we’re given that s = 2/3 A, so from our displacement formula (1) we have:
s = Asin (ωt) = 2/3 A
This is what we get for the kinetic energy when we insert it into equation (4):
Ek = E (total)(1 − (2/3)²)
Ek = 5/9 (E (total) )
Hence, the displacement in SHM is 2/3 of the amplitude, and the fraction of total kinetic energy is Ek = 5/9.
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A proton moving at 3.40 106 m/s through a magnetic field of 1.97 T experiences a magnetic force of magnitude 7.71 10-13 N. What is the angle between the proton's velocity and the field
When the proton passed through magnetic field then the angle between the proton velocity and the field is 49° degrees.
Given
Speed v = 4.00 m/s
Mg field =1.7 T
Force = 8.21 10-3 N
Given:- Velocity of the particle = 4.00x10m/3. 2 Magnitude of the magnetic field B= 1.701.
Force experienced by the particle: 8.20x10¹³N.
To find: The between the particle velocity and field. angle a
We know that :- F= q(√xB)
9 (VBSino) 928 - Sina
Sina = 8.20×10-13 1.6×10-19×4×10 6 x 1.70 = 0.7536.
Sin a = 0.7536. ~ Sin 0 = 0.754
a = sin' (0.7536)
a = 49°
we have a point charge q0 located at r and a set of external charges conspire so as to exert a force F on this charge. We can define the electric field at the point r by: E =Fq0
The (vector) value of the E field depends only on the values and locations of the external charges, because from Coulomb’s law the force on any “test charge” proportional to the value of the charge. However to make this definition really kosher we have to stipulate that the test charge q0 is “small”; otherwise its presence will significantly influence the locations of the external charges.
The electric field is a vector. we can see that its SI units must be It follows from Coulomb’s law that the electric field at point r due to a charge q located at the origin is given by E = kq where r is the unit vector which points in the same direction as r.
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the first artificial satellite to orbit the earth was sputnik 1, launched october 4, 1957. the mass of sputnik 1 was 83.5 kg, and its distances from the center of the earth at apogee and perigee were 7300 km and 6610 km, respectively. find the difference in gravitational potential energy for sputnik 1 as it moved from apogee to perigee
The difference in gravitational potential energy for sputnik 1 as it moved from apogee to perigee is 193 kJ.
The gravitational potential energy of an object in orbit around the Earth can be calculated using the equation:
U = -GMm/r
where U is the gravitational potential energy, G is the gravitational constant, M is the mass of the Earth, m is the mass of the object.
The difference in gravitational potential energy as the satellite moves from apogee to perigee can be found by calculating the potential energy at each point and subtracting the two values:
U(apogee) = -(6.67 x 10^-11 N*(m^2)/(kg^2)) * (5.972 x 10^24 kg) * (83.5 kg) / (7300 x 10^3 m)
U(perigee) = -(6.67 x 10^-11 N*(m^2)/(kg^2)) * (5.972 x 10^24 kg) * (83.5 kg) / (6610 x 10^3 m)
U(apogee) = -1.865 x 10^5 J
U(perigee) = -2.058 x 10^5 J
The difference in gravitational potential energy is:
= U(perigee) - U(apogee)
= -2.058 x 10^5 J - (-1.865 x 10^5 J)
= 193 x 10^3 J
So, the difference in gravitational potential energy for Sputnik 1 as it moved from apogee to perigee is 193 kJ.
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A meter‑long wire of mass 185 g is attached to a 60. 0 Hz mechanical wave oscillator operating at 139 W. The far end of the wire is strung over a frictionless, massless pulley, and a 306 g mass is hung from it. When the oscillator is turned on, it produces a sinusoidal wave in the wire. Calculate the amplitude of oscillation of the wire. Use the value 9. 81 m/s2 for the acceleration due to gravity
The tension in the wire is 2.99986 N. The amplitude of the oscillation of the wire is approximately 0.01067 meters.
The tension (T) can be calculated using the equation:
T = m × g
T = 0.306 × 9.81
T = 2.99986 N
The linear mass density (μ) of the wire is given by the mass per unit length of the wire. It is calculated as:
μ = m(wire) ÷ L(wire)
μ = 0.185 ÷ 1
μ = 0.185 kg/m
The speed (v) of the wave on the wire can be determined using the equation:
v = √(T ÷ μ)
v = √(2.99986 ÷ 0.185 )
v = 7.351 m/s
The power (P) transmitted by the wave is related to the amplitude (A) and the speed (v) of the wave through the equation:
P = 2π² × μ × v × A² × f²
A² = P ÷ (2π² × μ × v × f²)
A² = 139 ÷ (2π² × 0.185 × 7.351 × (60.0)²)
A² = 1.138 × 10⁻⁴
A = √(1.138 × 10⁻⁴)
A = 0.01067 m
Therefore, The amplitude of the oscillation of the wire is approximately 0.01067 meters.
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You went to move a 41 kg bookcase to a different place in the living room. If you push with a force of 65 N and the bookcase accelerates at 0. 12 m/s2 what is the coefficient of kinetic friction between the bookcase and the carpet?
If you push with a force of 65 N and the bookcase accelerates at 0. 12 m/s2. The answer to the given question is A65=41×A.A=1.2m.
Explanation of the given answer:Functions and co efficients are: Ff=μkFN F f = μ k F N
The equation for kinetic friction, where FN is the object's normal force and k is the coefficient of kinetic friction.
The resistive force of friction (Fr) divided by the normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), which is a numerical value. The formula which is fr = Fr/N serves as a representation of kinetic friction.
The primary distinction between static and kinetic friction is that kinetic friction occurs when there is relative motion between the surfaces, whereas static friction occurs when the surfaces are at rest.
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When using a torque increases with a lever?
Since torque is directly proportional to body mass, while the lever arm remains fixed and the mass of the stone grows, so does the torque.
Lever:
Lever is a type of simple machine composed of a stiff beam and a fulcrum. The fulcrum is the point on which the beam pivots. The effort and load are delivered to either end of the beam. A load is applied to the opposite end of a lever when force is applied to the one end.
The three classes of levers are first, second, and third class levers.
The fulcrum of superior levers is positioned between the weight and the effort.
Levers of inferior quality with weight between the fulcrum and the effort
Third-class levers need effort between movements fulcrum and load.
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