The value of the displacement of the car is approximately 270 km, which is not equal to 192 km.
What is the displacement of the car?To calculate the displacement of the car, we need to find the total distance traveled by the car and subtract the initial position. In this case, the initial position is point A, so the displacement is the distance from point A to point C.
The distance traveled between A and B can be calculated using the average speed and the time taken to travel this distance:
d = v * t
t = d / v
where:
d is the distancev is the average speedt is the timeSubstituting the values, we get:
d = 120 km
v = 60 km/h = 60 / 3.6 m/s = 16.67 m/s
t = d / v
t = 120 / 16.67
t = 7.2 hours
The distance traveled between B and C can be calculated in the same way:
d = 150 km
v = 50 km/h = 50 / 3.6 m/s = 13.89 m/s
t = d / v
t = 150 / 13.89
t = 10.79 hours
The total distance traveled by the car is:
d = d1 + d2
d = 120 + 150
d = 270 km
The displacement is equal to the distance from point A to point C, which is equal to the total distance traveled by the car:
|∆x| = d
|∆x| = 270 km
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what is the frequency of the oscillation? express your answer to two significant figures and include the appropriate units.
The frequency of the oscillation can be calculated as the inverse of the period: f = 1 / T = 1 / 4 units.
Based on the description, we can see that the waveform has a period of 4 units on the x-axis since it completes one full cycle over that distance.
Therefore, the frequency of the oscillation can be calculated as the inverse of the period:
f = 1 / T = 1 / 4 units
Expressing the frequency to two significant figures and including the appropriate units, we get:
f = 0.25 [tex]units^{-1}[/tex]
The frequency of this wave can be calculated by measuring the distance between two consecutive points of maximum amplitude, which in this case is one complete cycle.
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the attraction of a person's body toward earth is called weight. the reaction to this force is the earth's surface pushing against the person's body. the person's body pushing against earth's surface. the person's body pulling on the earth. none of these
This is due to Newton's third law of motion.
The reaction to the force of weight on a person's body is the Earth's surface pushing against the person's body. This is known as Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. When a person stands on the ground, their weight is exerted on the Earth's surface, and the surface responds by exerting an equal and opposite force on the person's body. This force is commonly referred to as the normal force. It is important to note that the normal force is perpendicular to the surface and is not the same as the force of friction, which is parallel to the surface and opposes motion.To know more about motion visit:
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A 100g mass is swung around a tube 50 times in 1 minute calculate the centripetal force necessary to sustain this motion
The centripetal force of the object with a mass of about 100g will be 31.42 Newtons.
What is Centripetal force?A centripetal force is a net force which acts on an object to keep it in the state of motion along a circular path.
The angular velocity is defined as "the angle changing over time."
From the given of the problem:
m = 100g
rate of revolution = 50 rev / min
Therefore, using the formula:
angular velocity = rate of revolution x 2*pi / revolution
Angular velocity = (50 revs / min) x (2*pi radians / rev) = 100*pi radians / min
Centripetal force = mass × angular velocity
Centripetal force = 0.1 × 100π
Centripetal force = 31.42 Newtons
Therefore, the centripetal force will be 31.42 Newtons.
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a penny is dropped from rest from the top of a very tall building. assuming the height of the building is 449 m and ignoring air resistance, find the speed with which the penny strikes the ground.
If the height of the building is 449 m and ignoring air resistance then, 93.8m/s is the speed with which the penny strikes the ground.
What is air resistance?
A type of friction (a force that resists motion) that happens between air and another object is air resistance, commonly referred to as drag. When a thing travels through the air, it experiences force. The two constant natural forces that affect every item on Earth are air resistance and gravity.
For instance, air particles pressing on an aircraft as it soars through the air make it more difficult for the aircraft to move. A feather's ability to fall is significantly influenced by air resistance.
Steps for calculation:
[tex]v^2=u^2+2gS \\where u=0, 2g=9.8m/s^2 and S=449m[/tex]
[tex]We get,\\ v^2 =2*9.8*449m^2 /s^2\\ v=93.8m/s[/tex]
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a 6 m high tree cast a 4 m long shadow. at the same time, a flag pole cast a shadow 50 m long. how long is the flag pole?
Using similar triangles, we can set up the following proportion:
height of tree / length of tree's shadow = height of flagpole / length of flagpole's shadow
Plugging in the values we know:
6 / 4 = x / 50
Solving for x:
x = 75
Therefore, the flag pole is 75 meters long.
How do you use the information about the tree and flag pole shadows to find the height of the flag pole?To find the height of the flag pole, we can use similar triangles. The tree and its shadow form one triangle, while the flag pole and its shadow form another. Since the two triangles are similar, we can set up a proportion: the height of the tree over the length of its shadow is equal to the height of the flag pole over the length of its shadow. We can then cross-multiply and solve for the height of the flag pole. Specifically, we can write 6/4 = h/50, where h is the height of the flag pole, and solve for h. This gives us h = 75 meters, so the height of the flag pole is 75 meters.
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a centrifuge in a biology laboratory rotates at an angular speed of 3,800 rev/min, clockwise (when viewed from above). when switched off, it rotates through 48.0 revolutions before coming to rest. assuming it is constant, what is the magnitude of angular acceleration (in rad/s2)?
The magnitude of the angular acceleration of the centrifuge is 3.78 rad/s^2.
Convert the angular speed from revolutions per minute (rpm) to radians per second (rad/s).
1 revolution = 2π radians
ω = 3800 rev/min * (2π rad/rev) / (60 s/min) = 398.11 rad/s
[tex]\theta=\omega i t + (1/2)\alpha t^2[/tex]
where θ is the angular displacement, ω_i is the initial angular velocity, α angular acceleration, t time.
At the instant the centrifuge is switched off, its angular speed is 398.11 rad/s. Angular displacement is 48 revolutions * 2π radians/revolution = 301.59 radians.
[tex]\omega f = \omega i +\alpha t[/tex]
[tex]0 = -398.11 + \alpha t[/tex]
[tex]t = 398.11/\alpha[/tex]
[tex]θ = \omega_i t + (1/2)\alpha t^2[/tex]
[tex]301.59 = (-398.11)(398.11/\alpha) + (1/2)α(398.11/\alpha)^2[/tex]
Simplifying this equation, we get:
[tex]301.59 = -398.11^2/\alpha + 398.11^2/2\alpha[/tex]
Multiplying both sides by 2α and rearranging, we get:
[tex]\alpha = 2 * 398.11^2 / (301.59 + 398.11^2/\alpha)[/tex]
Solving for α, we get:
[tex]\alpha = 3.78 rad/s^2[/tex]
Therefore, the magnitude of the angular acceleration of the centrifuge is 3.78 rad/s^2.
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If you add 2.34 C to an object, how many electrons did you add?
DO NOT ROUND YOUR NUMBER
An example on how to type your number in in scientific notation 2.6e19
2.34 C corresponds to[tex]2.34 x 10^6[/tex] Coulombs, which is equal to [tex]2.34 x 10^6 x 6.24 x 10^18[/tex]electrons, or 1.44e25 electrons.
What is electron?Electron is a subatomic particle that is part of the atom. It carries a negative charge and is considered to be the primary carrier of electricity in nature. Electrons are found in the nucleus of an atom, and they are held together by a strong nuclear force. Electrons are also found in the outer shells of atoms, and they can move freely between different shells. Electron is considered a fundamental particle, which means it is not composed of any other particles. Electrons also have a mass of about 1/1836 of the mass of a proton. Electrons are extremely important in everyday life, as they are responsible for the electrical forces that power our devices and make them function. Electrons can also be used in various applications such as semiconductors, which are used in computers, cell phones, and other electronic devices.
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which one of the following energy conversion devices has the highest energy efficiency? group of answer choices incandescent light bulb automobile engine steam turbine generator
The steam turbine generator has the highest energy efficiency among the listed devices.
What is a steam turbine generator?A device that turns steam into energy is called a steam turbine generator. A generator and a steam turbine are its two major parts.
The steam turbine is an apparatus that turns a group of blades attached to a shaft using high-pressure steam. The steam expands as it moves over the blades, speeding up the shaft's rotation. The steam is then recycled for future use after being condensed back into liquid form.
An apparatus that transforms mechanical energy into electrical energy is a generator. The generator's rotor, which rotates inside a group of stationary coils while the steam turbine's revolving shaft connects to it, produces an electromagnetic field that generates an electrical current.
The energy conversion efficiency of a steam turbine generator can reach up to 50%, which is substantially higher than that of an incandescent light bulb or a car engine. Around 10% of the energy used by incandescent light bulbs is converted into visible light, with the remaining energy being wasted as heat. The average energy conversion efficiency of an automobile engine is roughly 25%, which means that only 25% of the fuel's energy is turned into usable work and the remaining 75% is lost as heat.
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what distinguishes the orbit of pluto from that of the eight major planets of the solar system?
Pluto's orbit is much more eccentric and inclined compared to the orbits of the eight major planets in the solar system. This means that Pluto's orbit is more elliptical and tilted relative to the plane of the solar system, while the orbits of the major planets are generally more circular and on the same plane.
First, Pluto's orbit is much more eccentric (elongated) than the orbits of the other planets. This means that its distance from the Sun varies more dramatically over the course of its orbit. While the other planets have nearly circular orbits, Pluto's orbit is more oval-shaped.
Second, Pluto's orbit is also more inclined (tilted) relative to the plane of the Solar System. The eight major planets all orbit in roughly the same plane, but Pluto's orbit is tilted at an angle of about 17 degrees. This means that it sometimes travels above and below the plane of the Solar System during its orbit.
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a cannonball is fired straight up into the air. the cannonball leaves the cannon at a speed of 37 m/s. determine how high the cannonball goes and how long it took to reach the peak. ignore air drag.
The cannonball goes as high a s69.84 m and time took for the cannonball to reach the peak is 3.77 seconds.
The rate of change of relegation is haste & the rate of change of haste is acceleration. using these two statements we decide equations called kinematic equations.
dv = ds/dt , da = dv/dt.
Derive equations are:
v = u + at
2as = v²−u²
s = ut + 1/2at²
For max height use the formula
vf² = vo² + 2ad
At the max height, the velocity is zero, so...
(0) = (37)² + 2(9.8)(d)
d = 69.84 m
So, cannonball reaches the height of 69.84 m
For the time to get to that height, apply
vf = vo + at
0 = 37 + (9.8)(t)
t = 3.77 sec
Time for it to reach the peak is 3.77 seconds.
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QuestionThe kelvin scale has its ________set to absolute zero which is the _________possible temperature that exists in the universe.AzeroBlowest
As one scale for another, both scales are connected. One unit on the Kelvin scale is equivalent to one degree on the Celsius scale. The zero points of the thermometer are the only distinction between these two scales.
What is the kelvin scale?Because the zero point is the absolute limit of how cold anything can become, the Kelvin temperature scale is also known as the absolute temperature scale. i.e., the temperature at absolute zero is [tex]-273[/tex]Degrees Celsius (0 K).
Absolute zero (0 K) on the Kelvin scale is the temperature at which a gas's volume is zero. Since it is below zero on all temperature scales, it is the lowest possible temperature. Thus, -273.15 oC is the Kelvin scale's zero.
With the non-scientific temperature scales, absolute zero isn't even zero. The temperature is -273.15 degrees Celsius, or -459.67 degrees Fahrenheit.
Therefore, The kelvin scale has its zero set to absolute zero, which is the lowest possible temperature that exists in the universe.
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Water is pumped from a large reservoir to a point 20 m higher than the reservoir.
Calculate the pump head if 0.01 m3/s flows through a 0.15 m diameter pipe and the
total frictional head loss is given to be 35^2/2g?
Answer:
A pump draws water from reservoir A and lifts it to reservoir B as shown in Figure 4-10. The loss of head from A to 1 is 3 times the velocity head in the 150-mm pipe and the loss of head from 2 to B is 20 times the velocity head in the 100-mm pipe. Compute the horsepower output of the pump and the pressure heads at 1 and 2 when the discharge is: (a) 12 L/s; (b) 36 L/s.
Explanation:
Paki-check po kung tama, thank you :)
EXPERIMENT: POLAR PROPERTIES
Perform the directions and Answer the following questions ….
These supplies are needed:
acetate (overhead transparency material) strip and tissue paper
vinyl strip and woolen cloth
slow, steady stream of water from a faucet
Follow these directions and answer these questions.
1. Rub the acetate strip with the tissue paper.
2. Bring the strip near a slow stream of running water.
What happened when the strip was brought near the stream?
From your ideas about charges on acetate and vinyl strips, predict what will happen if a charged vinyl strip is brought near the slow stream of water. (Review Unit 4.)
3. Test your hypothesis. Rub a vinyl strip with a woolen cloth.
4. Bring the charged strip near a slow stream of water.
HELP ASAP I NEED LEGIT ANSWERS:)
Charge is a fundamental physical property of matter that describes the degree to which it interacts with electromagnetic fields. It is an intrinsic property of subatomic particles, such as protons and electrons, that gives rise to electric and magnetic forces.
What is Charge?The basic unit of charge is the Coulomb (C), named after the French physicist Charles-Augustin de Coulomb, who first quantified the electric force between charged objects. A single proton or electron has a charge of approximately 1.6 x 10⁻¹⁹ Coulombs.
Rubbing the acetate strip with tissue paper transfers electrons from the tissue paper to the strip, giving the strip a negative charge.
When the negatively charged acetate strip is brought near a slow stream of running water, the water is attracted to the strip and bends towards it. This is because the water is polar, meaning it has a positive end and a negative end, and the negative end is attracted to the negatively charged acetate strip.
Predicted: When a charged vinyl strip is brought near the slow stream of water, the water should be attracted to the strip and bend towards it. This is because the vinyl strip is typically charged positively when rubbed with woolen cloth, so it will attract the negative end of the polar water molecules.
Rubbing the vinyl strip with a woolen cloth transfers electrons from the woolen cloth to the strip, giving it a positive charge. When the positively charged vinyl strip is brought near the slow stream of water, the water is indeed attracted to the strip and bends towards it, just as predicted.
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What is the name for a burst of activity on an EEG in the early stages of sleep?
gamma waves
sleep spindles
REM
lingering activation
The name for a burst of activity on an EEG in the early stages of sleep is "sleep spindle".
What is sleep spindle?A burst of brain activity during non-rapid eye movement (NREM) sleep is known as a sleep spindle and can be seen on an electroencephalogram (EEG). Although it can occur in other NREM sleep stages as well, it is a hallmark of Stage 2 sleep.
Sleep spindles are characterized by a burst of rhythmic brain activity that spans from 11 to 16 Hz and are short (often lasting only a few seconds). The thalamus, a region of the brain that is essential for transmitting sensory data to the cerebral cortex, is the source of this activity. The thalamus absorbs sensory input during sleep and modifies the information flow to the cortex, enabling the brain to filter out unimportant inputs and concentrate on significant ones.
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1. if you want to measure voltage across on a resistor connected to a 5v dc power supply, which two jacks of the dmm should be used? where do you set the function/range knob? which voltage range should be selected?
Turn off the power supply and disconnect the resistor from the circuit. Set the function/range knob on the [tex]DMM[/tex] to the DC voltage (V) mode. Select the voltage range that is appropriate for the voltage. Since the power supply is [tex]5V DC[/tex], you should select a voltage range that is greater than 5V. Connect the red probe of the[tex]DMM[/tex] to the positive terminal of the resistor and the black probe to the negative terminal of the resistor.
Turn on the power supply. Read the voltage measurement displayed on the [tex]DMM[/tex]. Note that it is important to ensure that the probes are correctly connected to the circuit, and that the [tex]DMM[/tex] is set to the correct mode and range, in order to obtain an accurate measurement
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(ii) Atmospheric pressure on that day is 1.0 x 10^5Pa
Calculate the total pressure at the bottom of the pond
Answer:
Explanation:Force applied by atmosphere = atmospheric pressure × ares of table
F=P×A
F=1.013×[tex]10^{5}[/tex] ×(2×1)=2.026×[tex]10^{5}[/tex]N
if a current of 4 a charges a dielectric for 3 s, how much charge is stored in the dielectric? round the final answer to one decimal place.
The required charge on the dielectric when current on it and time are specified is calculated to be 12 C.
The relation between current, charge and time is known to be,
i = q / t
where,
i is current
q is charge
t is time
Current on a dielectric is given as 4 A.
Time is given as 3 s.
Now, we should calculate the charge stored in the dielectric.
Making q as subject, we have,
q = i × t = 4(3) = 12 C
Thus, the required charge on the dielectric is calculated to be 12 C.
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Consider the circuit in the diagram below.
The switch at the top is moved to the closed or on position, the lightbulb glows brightly for a moment, and then dims gradually until it is fully dark. The switch on the top leg is then moved to the open or off position. The switch on the central leg is then moved to the closed or on position. What would happen to the bulb.
The light bulb would light up and stay constant.
The light bulb would light up and gradually dim.
The light bulb would gradually brighten.
The light bulb would flash on and then immediately shut off.
Answer:
The light bulb would flash on and then immediately shut off.
Explanation:
shows four equipotential surfaces. the positively charged particle located at point a can move to points b, c, or d by the paths indicated. along which path is the greatest work done on the particle by the electric field?
The depicted paths allow the positively charged particle at point a to travel to places b, c, or d. The electric field has the most influence over the particle along path a to b.
A charged particle is a particle that has an electric charge. The charge can be either positive or negative, and the unit of charge is the Coulomb. Charged particles can be found in nature and in man-made environments. For example, the nucleus of an atom contains positively charged protons, and electrons are negatively charged particles that orbit the nucleus. Other examples of charged particles include ions, which are atoms or molecules that have gained or lost one or more electrons, and free electrons, which are electrons that are not bound to an atom or molecule. Charged particles interact with electric and magnetic fields, and these interactions are fundamental to many areas of physics and engineering.
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The complete question is:
(Figure 1) shows four equipotential surfaces. The positively charged particle located at Point a can move to Points b, c, or d by the paths indicated. Along which path is the greatest work done on the particle by the electric field?
- Path a to b
- Path a to c
- The work done is equal along all three paths.
- Path a to d
a spring whose equilibrium length is 6 m is compressed to a length of 1/2 m when a force of 15 n is applied. find the work done by the spring force while it is compressed to a length of 5 m.
A spring whose equilibrium length is 6 m is compressed to a length of 1/2 m when a force of 15 n is applied. 187.5 mJ is the work done by the spring force while it is compressed to a length of 5 m.
compression in spring x = 5m.
spring constant = 15 n/m
Magnitude of work done = Potential energy stored in spring W = 1/2 kx²
= 1/2 × 15 × 5 × 5
= 187.5 mJ
The spring's natural length is its length without any mass attached. We suppose that the spring obeys Hooke's law: if the spring's length is modified by an amount L from its natural length, the spring produces a force
Fs = kL,
where,
k is a positive quantity known as the spring constant.
F = -kx.
The spring constant is the proportional constant k. It is a measure of the stiffness of the spring. When a spring is stretched or compressed by an amount x from its equilibrium length, it produces a force F = -kx in the direction of its equilibrium position.
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6. Determine the work done by the external force when a charge = 20 nC is displaced from an initial point at potential 300 V to a final po…
If a meteor with a 20 m in diameter impacts Earth on land, approximately how big will the crater be?A. 200-400 m in diameterB. 500 to 1100 m in diameterC. 1000 to 1200 m in diameterD. 1300 to 1500 m in diameter
"If a meteor with a 20 m in diameter impacts Earth on land, approximately the crater is 200-400 m in diameter." Correct option is A.
A meteor is a small rock or piece of debris that travels through space and enters the Earth's atmosphere. When a meteor enters the Earth's atmosphere, it encounters friction and heat due to the atmospheric resistance, causing it to ignite and create a bright trail or shooting star in the sky. If a meteor is able to reach the surface of the Earth, it is called a meteorite.
When a meteor strikes a planet, there will almost certainly be a hole made at the site of impact. As the item moves more quickly, gets bigger, or is heavier, the crater will grow bigger. The meteor's mass and velocity are the best indicators of the magnitude of the impact crater.
The size of the crater created by a meteorite impact depends on many factors, such as the composition of the meteorite and the density of the material that it impacts. A crater with a dimension of 200–400 metres would be produced by a meteorite with a 20 m diameter.
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The speeds of a car travelling on a straight road are given below at successive intervals of 1 second. Time/s Speed/m/s 0 0 1 2 2 4 3 6 4 8 Calculate a the average speed of the car in m/s b the distance the car travels in 4s c the constant acceleration of the car. 2 If a train travelling at 10 m/s starts to accelerate at 1 m/s² for 15s on a straight track, calculate its final speed in m/s.
a. the average speed of the car is 15 m/s.
b. the car travels 60 meters in 4 seconds.
c. the constant acceleration of the car is 2 m/s².
d. we find the the final speed of the train as 25 m/s.
How do we calculate?a)
We find the total distance traveled by the car as:
0 + 2 + 8 + 18 + 32 = 60 meters.
Average speed = Total distance / Total time
= 60 meters / 4 seconds
= 15 m/s
b) The distance traveled by the car in 4 seconds = total distance traveled
= 60 meters
c)
Acceleration = (Final velocity - Initial velocity) / Time
Acceleration = (Final velocity - Initial velocity) / Time
Acceleration = (8 m/s - 0 m/s) / (4 s - 0 s)
Acceleration = 8 m/s / 4 s
Acceleration = 2 m/s²
d.
Final velocity = Initial velocity + (Acceleration * Time)
Final velocity = 10 m/s + (1 m/s² * 15 s)
Final velocity = 10 m/s + 15 m/s
Final velocity = 25 m/s
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) beam divergence. how accurately do you need to point your new satellite dish? directtv uses frequencies around 18ghz and dish antennas with a diameter of roughly 50 cm (~20 inches). give your answer in both radians and degrees. does this seem practical for a homeowner to install?
For a direct TV satellite dish with a diameter of roughly 50cm and frequency around 18 GHz, an accuracy of about 0.2 degrees of 0.0035 radians is required for reliable reception.
To accurately point a satellite dish the dish needs to be pointed in the direction of the satellite and at the correct angle to reciterecieve the signal. The accuracy required depends on the size of the dish , the frequency of the signal and the distance to the satellite.
For a direct TV satellite dish with a diameter of roughly 50cm and frequency around 18 GHz, an accuracy of about 0.2 degrees of 0.0035 radians is required for reliable reception. This level of accuracy is necessary to ensure that the dish is aimed at the satellite and is able to recieve the signal with enough power to provide a clear and stable picture.
While it is technically possible for a homeowner to install a satellite dish with this level of accuracy, it can be challenging for those without experience. There are many factors that can affect the installation, such as the location of the dish the mounting system and the cable routing. In addition, weather conditions such as wind and rain can affect the allignment of the dish.
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when substances change state there is no change in mass. so for physical changes are generally easy to reverse though the end product may not always look exactly the same as the starting material. When a physical change occurs, the arrangement of particles within the substance may change, but the atoms in the molecules remain bonded together.
When substances change state, the molecules remain the same and there is no change in mass. This is because the molecules themselves do not break apart or form new chemical bonds.
What is molecules ?Molecules are particles made up of two or more atoms that are bound together. They are the smallest units of matter that can still retain the properties of the substance they are part of. For example, water is made up of two hydrogen atoms and one oxygen atom, which form a molecule. Molecules vary in size and complexity; some molecules, such as proteins, are made up of hundreds of atoms. Molecules are held together by chemical bonds, which are forces of attraction between the atoms. These bonds can be of several different types, such as covalent, ionic, and hydrogen bonds. Molecules can interact with each other and with other substances, such as solids, liquids, and gases, to create new substances with different properties. Understanding the behavior of molecules is essential to the study of chemistry, biology, and other sciences.
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a mass/spring system is displaced from equilibrium by 5.0 cm and its period of motion is determined to be 3.0 seconds. what will the period be if it is displaced from equilibrium by 15.0 cm?
The period of motion when the mass-spring system is displaced from equilibrium by 15.0 cm is 6.0 seconds.
What is the mass-spring system?The period of a mass-spring system is given by:
[tex]T = 2pisqrt(m/k)[/tex]
where m is the mass and k is the spring constant.
The period of motion is not affected by the amplitude (displacement from equilibrium) of the oscillation for small amplitudes. However, for large amplitudes, the period does depend on the amplitude.
To find the period when the system is displaced from equilibrium by 15.0 cm, we need to find the new value of k, which depends on the displacement.
When the system is displaced by 5.0 cm, we have:
[tex]5.0 cm = A = x_max[/tex]
where A is the amplitude and [tex]x_max[/tex] is the maximum displacement from equilibrium.
When the system is displaced by 15.0 cm, we have:
[tex]15.0 cm = A = x_max[/tex]
The new spring constant k' can be found by:
[tex]k' = m*(2*pi/T')^2[/tex]
where T' is the period of motion when the system is displaced by 15.0 cm.
The energy of the system is conserved, so the potential energy at the maximum displacement is equal to the kinetic energy at the equilibrium position.
At the maximum displacement, all of the potential energy is converted into kinetic energy, so:
[tex]1/2 k' A^2 = 1/2 k x_max^2[/tex]
Solving for k' and substituting into the expression for the period, we get:
[tex]T' = 2pisqrt(m/k') = 2pisqrt(m/(k*(A/x_max)^2))[/tex]
Substituting the given values, we get:
[tex]T' = 2pisqrt(m/k*(15.0 cm/5.0 cm)^2) = 6.0 s[/tex]
Therefore, the period of motion when the mass-spring system is displaced from equilibrium by 15.0 cm is 6.0 seconds.
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A spring extends by 10 cm when a mass of 630 g is attached to it. What is the spring
constant?
the spring constant was found to be as follows 61.74 N/m.
explain about spring constant ?
The spring constant, denoted by k, is a measure of the stiffness of a spring and is defined as the force required to extend or compress the spring by a certain distance. The formula for the spring constant is:
k = F / x
where F is the force applied to the spring and x is the resulting displacement. In this case, the spring extends by 10 cm when a mass of 630 g is attached to it, which means the displacement x is 0.1 m and the force F can be calculated as:
F = m * g
where m is the mass in kilograms and g is the acceleration due to gravity, which is approximately 9.8 m/s^2. Converting the mass of 630 g to kilograms gives:
m = 0.63 kg
So, the force F is:
F = 0.63 kg * 9.8 m/s^2 = 6.174 N
Now we can calculate the spring constant k:
k = F / x = 6.174 N / 0.1 m = 61.74 N/m
Therefore, the spring constant is 61.74 N/m.
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a horizontal wire of length 3.0 m carries a current of 6.0 a and is oriented so that the current direction is 50o s of w. the horizontal component of the earth's magnetic field is due north at this point and has a strength of 0.14 x 10-4 t. what is the size of the force on the wire?
[tex]1.6 x 10^{-4} N[/tex] of magnetic force is exerted towards the Earth on wires carrying current. surface.
What is magnetic force?
When electrically charged particles are in motion, a magnetic force, attraction, or repulsion results from their motion. It is the fundamental force behind phenomena like how electric motors operate and how magnets are drawn to iron. Among fixed electric charges, there are electric forces; among moving electric charges, there are both electric and magnetic forces. The influence of a magnetic field generated by one charge on another charge can be referred to as the magnetic force between two moving charges. The direction of the magnetic force acting on a moving charge is at a right angle to the plane formed by the direction of the charge's motion and the direction of the magnetic field around it.
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What are the peaks in NMR?
Each proton resonance (or peak) is divided into N+1 parts, where N is the number of non-equivalent surrounding protons to which the atom links. If no hydrogen atoms are nearby, the resonance will be a single peak (singlet, s)
Its low-resolution NMR spectra will have three peaks because the hydrogen atoms reside in three separate habitats. Because the ratio of hydrogen atoms in the various surroundings is 3:2:3, the ratio of peak areas will be 3:2:3. There are two peaks because the hydrogens are in two separate environments: in the CH3 group and connected to oxygen in the COOH group. They reside in various parts of the spectrum because they require somewhat varying external magnetic fields to achieve resonance at a certain radio frequency.
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Answer:107
Explanation:TOOK THAT
what causes the direction of the wind to change from day to night?
The direction of the wind is largely influenced by the temperature differences in the atmosphere.
During the day, the sun heats up the Earth's surface, causing the air to warm and rise, leading to the formation of a low-pressure area. As the air rises, cooler air from higher atmospheric levels moves in to replace it, causing wind to blow towards the low-pressure area.
At night, the Earth's surface cools down, leading to a drop in temperature, and the air cools and contracts. The air near the ground becomes denser and heavier, causing a high-pressure area to form. The cool and dense air sinks, displacing the warmer air, and creating wind that blows from the high-pressure area to the low-pressure area.
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