The center of mass of the rigid body in the world space will be given below.
[tex]\rm x_{cm} = \dfrac{m_1x_1 + m_2x_2 + ... }{m_1 + m_2 + ... }\\\\\\\rm y_{cm} = \dfrac{m_1y_1 + m_2y_2 + ... }{m_1 + m_2 + ...}\\\\\\\rm z_{cm} = \dfrac{m_1z_1 + m_2z_2 + ... }{m_1 + m_2 + ... }[/tex]
What is the center of mass?The unique location where the graded relation of the scattered mass adds to zero is known as the center of mass in physics. Here is where a load may indeed be exerted to produce a moving object without also producing an angular acceleration.
The center of mass is given as,
[tex]\rm x_{cm} = \dfrac{m_1x_1 + m_2x_2 + ...... + m_nx_n}{m_1 + m_2 + .... + m_n}\\\\\\\rm y_{cm} = \dfrac{m_1y_1 + m_2y_2 + ...... + m_ny_n}{m_1 + m_2 + .... + m_n}\\\\\\\rm z_{cm} = \dfrac{m_1z_1 + m_2z_2 + ...... + m_nz_n}{m_1 + m_2 + .... + m_n}[/tex]
For a rigid body with particles, let the particle positions in the world space be 1, 2, … and the masses of the particles be 1, 2, ….
Then the center of mass will be
[tex]\rm x_{cm} = \dfrac{m_1x_1 + m_2x_2 + ... }{m_1 + m_2 + ... }\\\\\\\rm y_{cm} = \dfrac{m_1y_1 + m_2y_2 + ... }{m_1 + m_2 + ...}\\\\\\\rm z_{cm} = \dfrac{m_1z_1 + m_2z_2 + ... }{m_1 + m_2 + ... }[/tex]
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How are a continental volcanic arc and a volcanic island arc different from each other?
The continental volcanic arc and a volcanic island arc different from each other is An island volcanic arc forms in an ocean basin via ocean-ocean subduction.
The Aleutian Islands off the coast of Alaska and the Lesser Antilles south of Puerto Rico are examples.
A continental volcanic arc forms alongside the margin of a continent where oceanic crust subducts underneath continental crust.
An island arc and a volcanic arc are basically the same type of geological characteristic except for the reality that one is on land and the opposite is surrounded by the usage of water.
Plate tectonics drives the arrival of volcanic arcs. A denser oceanic plate collides with a more buoyant continental plate. The oceanic crusts’ density pulls it downward into the mantle wherein excessive warmness melts it.
The molten rock and volatiles (magma) then art work their way upwards often attaining the ground and erupting. The arc form is the floor trace of the area wherein the down
going plate is melting. it's far an arc because of the truth the earth is a spherical shape.
heaps of the Pacific rim, extensively Japan, Polynesia and the Aleutians are island arcs.
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’s theory that magnetic forces between the sun and planets kept planets in orbital motion laid the foundation for sir isaac newton’s law of universal gravitation.
Kepler's theory that magnetic forces between the sun and planets kept planets in orbital motion laid the foundation for sir Isaac Newton’s law of universal gravitation.
The orbits of planets aren't circles however oval-shaped curves referred to as ellipses. Kepler's First regulation: The orbits of planets are ellipses with the sun at one focus of the ellipse. Planets circulate in ellipses with the sun at one consciousness. The figure under illustrates two orbits with the identical semi-important axis, awareness and orbital duration.
The sun's gravity pulls the planets in orbit round it, and some planets pull moons in orbit round them. Even spacecraft are in movement thru the sun machine, either in orbit across the Earth or Moon, or visiting to similarly worlds, because of gravitational forces.
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consider a swimmer that swims a complete round-trip lap of a 50 m long pool in 100 seconds. the swimmer's...
On calculation, the Average speed of the swimmer = 1 m/s and the average velocity = 0 m/s for the swimmer
CalculationAverage speed = total distance / total time= (50+50)/100 = 1m/s
Average velocity = total displacement / total time = 0/100 = 0 m/s
What is Average speed?The overall distance that an object covers in a given amount of time is its average speed. A scalar value represents the average speed. This average speed has no direction and is indicated by its magnitude.
The formula for an object’s general speed average is [Average Speed = Total Distance Traveled Total Time Taken]. M/s is considered as the SI unit for average speed.
What is Average velocity?Average speed is determined by dividing the total distance you travelled by the total time, whereas average velocity is determined by dividing your displacement (a vector pointing from your initial position to your end position) by the whole time.
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a string that is under 49.0 n of tension has linear density 4.70 g/m . a sinusoidal wave with amplitude 2.50 cm and wavelength 1.50 m travels along the string.
velocity of wave v = [tex]\sqrt{t/\mu}[/tex]
v = √49/√4.7 * 10^-3
= 102.1 m/s
w = 2 π f
= 2 π (v/[tex]\lambda[/tex])
= 2 π (102.1/1.5)
= 427.04
max speed Vmax = Aw
Vmax = 2.50 * 10^-2 *427.04
Vmax = 10.675
sinusoidal wave in graphical representation of linear projection of an object moving with SHM Sine Wave Characteristics 1) Amplitude 2) Period or frequency 3) Phase Amplitude Represents strength or magnitude of vibration over time.Period and Frequency are Inversely related - as period increases (gets longer), frequency decreases (gets lower) - as period decreases (gets shorter), frequency increases (gets higher)To know more about sinusoidal wave visit : https://brainly.com/question/13641310
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A BUS TRAVELING AT 60KMHR-1 ACCELERATE UNIFORMLY AT 5MS-2 CALCULATE IT VELOCITY AFTER 2MINUTES
The velocity after two minutes is v = 616.67 m/s
Using the equation final velocity = beginning velocity + acceleration * time, the final velocity of this bus after two minutes is determined. Symbolically, v is represented as follows: vi = 60 km/h, a = 5 m/s2, and t = 2 minutes. First, we must translate 60 km/h into m/s. 50/3 m/s is equal to 60 km/h or 60,000 m/36 seconds.
When determining the final velocity, v
v = vi + a * t
120 seconds at v = 50/3 m/s + 5 m/s2
v = 50/3 m/s + 600 m/s
v = 16.67 m/s + 600 m/s
v = 616.67 m/s
After two minutes, the bus's speed is 616.67 m/s. For a bus, it is a pretty implausible velocity. The speed of this object is 2,220 km/h, exceeding the speeds of both air and jet aircraft. Your acceleration time should have been capped at 20 seconds or less.
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Law of conservation of matter (mass)
Answer:
The law of conservation of mass or principle of mass conservation states that for any system closed to all transfers of matter and energy, the mass of the system must remain constant over time, as system's mass cannot change, so quantity cannot be added nor removed. Hence, the quantity of mass is conserved over time
Explanation:
Instant Practice-Stating a Hypothesis Write a hypothesis for each of the following situations. You may wish to use an "If...then..." format. For example: If temperature affects bacterial growth, then bacterial culture plates at a higher temperature will have more bacterial colonies than those at a lower temperature. 1. The relationship between temperature and the state of water 2. The relationship between types of atmospheric gases and global warming 3. The amount of time batteries last in different devices 4. The effect of the colour of flowers on honeybee visitations
To better understand and treat caused diseases, a pure bacterial culture is still necessary for the research of its virulence, susceptibility to antibiotics, and genomic sequence.
Incubation time, nutrients, environment, and temperature were empirically changed in the early culture conditions before culture was increasingly replaced by molecular techniques. Microbiologists that specialize in intracellular bacteria were responsible for the resurgence of culture in clinical microbiology. An expansion of the archaea's repertory was made possible by the introduction of a new, adaptable media. However, among common bacterial diseases, the creation of axenic medium for the culture of Treponema pallidum or Mycobacterium leprae continues to be a significant obstacle that cultivators will be able to overcome with time and creativity.
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a parachutist with a camera, both descending at a speed of 10.8 m/s, releases that camera at an altitude of 44 m. (a) what is the velocity of the camera just before it hits the ground? (b) how long does it take the camera to reach the ground?
(a) The final velocity of the camera just before it hits the ground is 31.3 m/s.
(b) The time taken for the camera to reach the ground is 2.1 seconds.
The velocity of the camera before it hits the ground is calculated as follows;
v² = u² + 2gh
where;
v is the final velocity of the camerau is the initial velocityh is height of fallg is acceleration due to gravityv² = 10.8² + 2(9.8)(44)
v² = 979.04
v = √979.04
v = 31.3 m/s
Time of motion of the camerav = u + gt
31.3 = 10.8 + 9.8t
31.3 - 10.8 = 9.8t
20.5 = 9.8t
t = 20.5/9.8
t = 2.1 seconds
Thus, the final velocity of the camera just before it hits the ground is 31.3 m/s. The time taken for the camera to reach the ground is 2.1 seconds.
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A buffer system is set up with [ha] = 2[a-]. if pka = 5.5, what is the ph of the buffer?
A buffer system is set up with [tex][H_a]=2[-a][/tex]. if [tex]p_{ka}=5.5[/tex], the pH of the buffer is 5.2.
What is a buffer system?
A buffer system is a solution that prevents change in pH when acids or bases are added to the solution. They are made of either a weak acid and its salt or a weak base and its salt. The ratio of HX/X- does not change enough to affect pH significantly, when an acid or a base is added to a buffer.What are the 3 buffer systems in the body?
The body's chemical buffer system contains of three different buffers:
The carbonate/carbonic acid bufferThe phosphate bufferThe buffering of plasma proteins.To learn more about buffer system, refer to:
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Which of these is about size of mass is a proton?
A. electron
B. neutron
Answer:
Neutron
Explanation:
A neutron is very slightly heavier then a proton while electrons basically almost have no mass.So it is safe to say that protons and neutrons approximately have the same mass.
Which generalization can be made about the climate of these two areas? san antonio, texas, experiences more dramatic seasonal changes because land heats up and cools down more slowly than water. san antonio, texas, experiences milder seasonal changes because land heats up and cools down more slowly than water. palm coast, florida, experiences more dramatic seasonal changes because water heats up and cools down more slowly than land. palm coast, florida, experiences milder seasonal changes because water heats up and cools down more slowly than land.
The generalization can be made about the climate of these two areas which are-
because water warms and cools more slowly than land, Palm Coast, Florida, has much less seasonal changes.
in step with a generalisation about the weather of these locations, Palm Coast, Florida, has softer seasonal fluctuations than different components of the country because water warms and cools greater slowly than land.
what is Palm Coast, Florida?
normally speakme, Flagler County is wherein Palm Coast, Florida, is situated. In 2000, there had been 32,832 residents; as of the 2010 census, there had been seventy five,a hundred and eighty.
In conclusion, Palm Coast, Florida, has extra slow seasonal modifications than the alternative location due to the fact water warms and cools extra slowly than land.
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as you read this words in your chair, how fast are you moving relative to the chair? relative to the sun?
Although you are not moving with respect to the chair, you are moving with the Sun at a speed of more than 100,000 km/h.
The portion facing the sun is lit up (day), whereas the portion facing it in the opposite direction is dark (night). Since we are all going in the same direction at the same consistent pace, we cannot feel the Earth turning. The Earth revolves once around its axis every 24-hour day.
How quick are we compared to the speed of light?
Light travels at a regular, finite pace of 186,000 mi/sec. A traveler, shifting at the velocity of light, could circumnavigate the equator about 7.5 instances in a single second. By comparison, a traveler in a jet aircraft, shifting at a floor pace of 500 mph, could pass the continental U.S. as soon as in four hours.To learn more about Velocity of sun, visit:
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as you roll a ball a hill , the ball's instantaneous velocity
a, increases
b, remains the same
c, decreases
Answer:
I'm not sure
Explanation:
the balls instantaneous velocity increases
After which action would the concentration of a solution remain constant
adding water to the solution
adding solute to the solution
evaporating water from the container
removing solution from the container
Answer: Removing solution from the container
Explanation: Took the quiz
The action that would cause the concentration of a solution to remain constant is removing solution from the container.
What is concentration of a solution?The concentration of a solution is the measure of the amount of solid particles (solute) that has been dissolved in the given amount of a solvent.
Adding water to a solution will dilute the solution, hence changes the concentration of the solution.
Also, adding solute will change the concentration of the solution.
Thus, the action that would cause the concentration of a solution to remain constant is removing solution from the container.
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a kangaroo can jump over an object 2.70 m high. calculate its vertical speed when it leaves the ground. g
7 m/s is the vertical speed. Speed is the rate at which an object travels along a path over time, whereas velocity is the speed and direction of an item's motion.
Vertical airspeed is the speed at which an airplane rises or descends. Both of them differ from ground speed. The rate of descent, also known as the sink rate, which gauges how quickly the aircraft is sinking, is used to track the aircraft's rate of rise, or vertical airspeed. A projectile's horizontal motion is independent to its vertical motion, which varies by 9.8 m/s² every second.
If the initial velocity is u and the end velocity is v, then v² = u²+2gs
0= u² -2(9.8) (2.5)
u²= 5(9.8)
u²=10(4.9)
u²=49
u=7 m/s
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two 2.0-cm-diameter insulating spheres have a 5.70 cm space between them. one sphere is charged to 89.0 nc , the other to - 69.0 nc .
The correct answer is 12.11×10^4 N/c.
Given:
diameter of spheres d = 2.0cm
radius of the spheres r = d/2
= 1cm
= 1×10^-2 m
charge on sphere 1 q_1 = 89×10^-9 C
charge on sphere 2 q_2 = -69 × 10^-9 C
distance between the spheres d = 5.7×10^-2 m
midpoint p = 2.85×10^-2 m
Electric field strength due to sphere1 at point p
total distance to point p = (2.85×10^-2)+ 1×10^-2
=3.85 ×10^-2 m
Electric field E1 = kq1/r^2.......(1)
= (9×10^9)(89×10^-9)/(3.85×10^-2)^2
= 54×10^4N/C
Electric field strength due to sphere 2 at point p
total distance to point p = (2.85×10^-2)+ 1×10^-2
= 3.85×10^-2 m
Electric field E2 = kq2/r^2.......(2)
= (9*10^9)(-69*10^-9)/(3.85*10^-2)^2
= -41.89×10^4 N/C
total electric field strength at point p E = E1+E2
=54×10^4N/C+(-41.89×10^4 N/c)
=12.11×10^4 N/c
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Molybdenum crystallizes with a body-centered cubic unit cell. the radius of a molybdenum atom is 139 pmpm . calculate the density of solid crystalline molybdenum in grams per cubic centimeter.
The density of solid crystalline molybdenum crystallized with a body-centered cubic unit cell is 9.59 g/cm³.
What is Molybdenum crystallizes?A kind of molybdenum disulfide, or MoS2, is called molybdenite. Molybdenite, which resembles graphite in both appearance and feel, has a lubricating effect as a result of its layered structure. A layer of molybdenum atoms is sandwiched between two sheets of sulphur atoms in the atomic structure. Although the Mo-S interactions are strong, there is no contact between the sulphur atoms at the top and bottom of the two sandwich-like tri-layers, which makes slippage and cleavage planes simple to form. Both the common polytype 2H of molybdenite and the 3R polytype of molybdenite form in the hexagonal crystal structure.
a = edge length = 4r/√3 = 4 * 139/√3 = 321.006pm
density d = 2m/a³NA = 2* 95.54/(321.006)³(NA)
= 5.776 * 10²³
= 5.776 * 10²⁴/ 6.023 * 10²³
= 9.59 g/ cm³
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An atom of 65as has a mass of 64.949563 amu. mass of1h atom = 1.007825 amu mass of a neutron = 1.008665 amu calculate the mass defect (deficit) in amu/atom
The mass defect is 0.585942 amu.
Calculationthe provided element is [tex]_{33} ^{65} As[/tex]
atomic number of As = 33
so no of protons = 33
mass number = Number of protons + Number of neutrons
so, no. of neutrons= 65 - 33 = 32
mass of 1 neutron = 1.008665amu
mass of 1 atom = 1.007825 amu= mass of proton
calculated mass = Number of protons*Mass of proton + Number of neutrons*Mass of neutron
= 33 x 1.007825 + 32 x 1.008665
=33.258225 + 32.27728
=65.535505 amu
Given mass = 64.949563 amu
Mass defect = 65.535505 - 64.949563
= 0.585942 amu
Concept of Mass Defect.The mass defect is the discrepancy between the nucleus of an atom’s anticipated mass and its actual mass. This discrepancy is due to the binding energy of a system, which might manifest as excess mass.
A key characteristic of a nucleus is the nuclear mass defect, which has a set value equal to a specific amount of binding energy for that nucleus.
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mercury is about 0.4 au from the sun on average (40% of the earth-sun distance). according to kepler's 3rd law, a year on mercury (i.e., it's orbital period) is a year on earth.
A Year on mercury is less than 40% as long as a year on earth.
What is Kepler’s Third law?According to Kepler's Third Law, the cubes of the semi-major axes of the orbits of the planets are directly proportional to the squares of the planets' orbital periods. According to Kepler's Third Law, as an orbiting planet's radius increases, so does the time of its orbit around the Sun. Thus, we learn that Mercury, the innermost planet, completes its orbit of the Sun in just 88 days. Saturn needs 10,759 days to complete the same task as the earth does in 365 days. Despite the fact that Kepler had no knowledge of gravitation at the time he developed his three laws, Isaac Newton used them to derive his theory of universal gravitation, which explains the mysterious force behind Kepler's Third Law.
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What fraction of the entire electromagnetic spectrum is spanned by visible light?.
Only 0.0035% of entire electromagnetic spectrum is spanned by visible light.
We have Electromagnetic spectrum.
We have to determine what fraction of the entire electromagnetic spectrum is spanned by visible light.
What is the range of visible spectrum in Electromagnetic spectrum ?The visible wavelengths cover a range from approximately 0.4 to 0.7 µm.
According to the question -
The visible spectrum forms a very small part almost equal to 0.0035% of the electromagnetic spectrum. In the visible spectrum, the longest visible wavelength is Red and the shortest visible wavelength is Violet. Refer to the image attached. From the image it is clear that the visible spectrum forms a very thin part of the entire spectrum.
Hence, only 0.0035% of entire electromagnetic spectrum is spanned by visible light.
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air temperature rises form a morning low of 42'f to an afternoon high of 70f. a. express these temperatures in r, k, and c.
The temperature of r, k and c is, Thigh (°R)=529.67 °R, Thigh(K)= 294.26 K, Thigh(°C)=21.11 °C.
Write the equation to convert temperatures from °F to °R. T(°F)=T(°R)-459.67
T(°R)=T(°F)+459.67
Convert the low temperature from 42°F to °R.
Tlow (°R)= 42 + 459.67
Tlow (°R)= 501.67 °R
Convert the high temperature from 70°F to °R.
Thigh (°R) = 70+ 459.67
Thigh (°R)=529.67 °R
Write the equation to convert temperatures from or to K.
T(°R)=1.8T (K)
T(K)=T(°R)/1.8
Convert the low temperature from 501.67°R to K.
Tlow(K)= 501.67/1.8
Tlow (K) = 278.71 K
Convert the high temperature from 529.67°R to K.
Thigh(K)= 529.67/1.8
Thigh(K)= 294.26 K
How do you find the air temperature?Thermometers are used to measure the air's temperature. Common thermometers feature an extremely narrow tube inside of a glass rod. A reservoir, or "bulb," at the thermometer's base supplies liquid to the tube. The substance is either mercury or reddish alcohol depending on the situation.
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a sailboat on a lake sails 40 meters north and then sails 40 meters due east. compared to its starting position, the new position of the sailboat is
The new position of the sailboat is 57 m northeast. hence option 3 is correct.
The right-angled triangle's hypotenuse's square length is equal to the sum of the squares of the lengths of the other two sides, according to the Pythagoras theorem, often known as the Pythagorean theorem. Alternatively, the square of the hypotenuse of a right triangle is equal to the sum of the squares of its two legs.
Given that the boat sails 40 meters north, followed by 40 meters of straight eastward motion. The Pythagorean Theorem will be used to determine the new position.
P^2 = 40^2 + 40^2
P^2 = 1600 + 1600
P^2 = 3200
Square root of P (3200)
P = 56.6 m P = 57 m (approximately)
Consequently, the sailboat will now be 57 north east.
The complete question is- A sailboat on a lake sails 40. meters north and then sail 40. meters due east. Compared to its starting position, the new position of the sailboat is
(1) 40. m due east (3) 57 m northeast
(2) 40. m due north (4) 80. m northeast
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A 7.4 nc point charge and a - 2.1 nc point charge are 3.3 cm apart. what is the electric field strength at the midpoint between the two charges?
A 7.4 nc point charge and a - 2.1 nc point charge are 3.3 cm apart and the electric field strength at the midpoint between the two charges 3.14 × 10⁵ N/C.
To find the electric field strength, the given values are,
q1 = 7.4 nC = 7.4 × 10⁻⁹ C
q2 = - 2.1 nC = 2.1 × 10⁻⁹ C
Distance (d) = 3.3 cm apart
What is Electric field strength?The intensity of an electric field at some specific or particular location can be defined to be Electric field strength.Volt per meter (v/m or v · m -1) was the unit for Electric field strength. A electric field strength for 1 volt/meter which represents a potential difference for one volt between the points which is separated by one meter.Substituting the given values,
At first, midpoint (r) = 3.3 / 2 = 1.65 cm = 1.65/100 =0.0165 m
The electric field strength at midpoint is given by:
E = k/r² ( q1 + q2)
K = 9.0 × 10⁹
Thus,
E = ((9 × 10⁹) / 0.0165²) × (7.4 × 10⁹ + 2.1 × 10⁹)
E = (3.3057851× 10¹³) (9.5 × 10⁹)
E = 31.4049586 × 10¹³⁻⁹
E = 31.4049586 × 10⁴
E = 3.14 × 10⁵ N/C.
The Electric field strength can be found as 3.14 × 10⁵ N/C.
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A satellite in earth orbit has a semi-major axis of 6,700 km and an eccentricity of 0.01. what are the satellite's geometric altitude at apogee?
The satellite's geometric altitude at apogee is =388.9km
The given data are:-
a=6700 km
e=0.01
R(earth)=6378.14km
R(p)=Radius at perigee
R(a)=Radius at apogee
where R(p)=a(1-e)
=6700(1-0.01)
=6633km
Altitude at perigee=6633-6378.4
=254.9km
R(a)=a(1+e)
=6700(1+0.01)
=6767km
Altitude at apogee=6767-6378.14
=388.9km
The satellite's geometric altitude at apogee is 388.9km.
What is apogee?
An Earth-orbiting satellite has an apogee, that is its finest top above the planet, and a perigee, that is its lowest peak above the planet. How excessive above sea level is supposed with the aid of "above Earth" (which varies barely, so that is a super). What the satellite tv for pc is appearing determines what the height "must" be. about 22,000 miles above Earth, in geosynchronous orbit, are a large quantity of verbal exchange satellites. The reality that they orbit on the identical velocity because the Earth approach they may be continually above the identical spot on its surface, which is exceptionally beneficial.
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a 32-in.-long copper bar with a yield strength of 27,000 psi is heated to 125°c and immediately fastened securely to a rigid framework. the coefficient of thermal expansion for copper is 16.6x10-6 (1/ºc).
0.05312 is the coefficient of thermal expansion for copper is16.6x10⁶(1/ºc).
α = coefficient of thermal expansion
l = Temperature
Difference = 125 - 25 = 100°C .
α=16.6×10⁶×100×32=0.05312.
Hence, 0.05312 is the coefficient of thermal expansion for copper is 16.6x10⁶ (1/ºc).
What do you mean by thermal expansion?Thermal expansion is the phenomenon of an object (such as metal) expanding or contracting due to a change in temperature. This can happen when you warm up or cool down an object, and it affects many things including liquids, solids, and gases.
This has important implications for architects and builders who must take into account thermal movement when designing structures that will with stand weather conditions such as wind and rain. Metal plates may warp or timber beams may pull apart due to thermal expansion. Architects can design structures that are more resilient to harm from natural forces by understanding thermal expansion.
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As the angle between the wires decreases, what happens to the force exerted on the wires?
A decrease in the angle between the wires will increase the horizontal component of tension (the tension force is defined as the force that is transmitted through a rope, string or wire when pulled by forces acting from opposite sides) and an increase in the angle will decrease the horizontal component of tension.
What is tension force?Tension is defined as force transmitted through a rope, string or wire when pulled by forces acting from opposite sides. The tension force is directed over length of the wire and pulls energy equally on the bodies at the ends.
Every physical object which is in the contact, exerts some force on one another. These contact forces are assigned names based on kind of objects. If one of the forces exerting an object is rope, cable or chain, we can call it tension.
Cables and Ropes can be used for exerting forces since they can efficiently transfer force over a specific distance (e.g. the rope length). Please note that tension is pulling force since ropes cannot push effectively. Pushing with a rope causes the rope to go slack and lose tension that allowed it to pull in the original place. This might seem obvious, but when it is about drawing forces acting on an object, some often draw the force of tension going in the wrong direction. Hence, tension can only pull the object.
In the almost every situation in classical mechanics, you will be presented with massless ropes and cables. When a rope is massless, it transfers force from one end to the other perfectly.
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If the human ear could not detect differences in the amplitude of sound waves, people would not be able to detect differences in the?
People wouldn't be able to distinguish between differences in sound volume if the human ear couldn't detect variations in the amplitude of undulations.
What determines the amplitude of a sound?
The amplitude of a sound wave is the life of the peak of the wave. The amplitude of a sound wave is outlined because the loudness or the quantity of most displacement of moving particles of the medium from their mean position once the sound is produced.
Amplitude of Sound. The strength or level of sound pressure. The amount of molecules in the sound wave in b is greater than the amount within the undulation in a, thus the amplitude of the sound wave in b is larger.To learn more about Amplitude of a sound, visit:
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You are driving a car, travelling at a constant velocity of 25m/s along a
straight road. When you see a child suddenly run onto the road. It takes
0.45s for you to react and apply the brakes. As a result, the car slow down
with a steady acceleration of 8.5m/s 2 . Find the distance?
The distance travelled by the car when the brakes were applied is 12.11 m
Data obtained from the questionThe following data were obtained from the question:
Initial velocity (u) = 25 m/sAcceleration (a) = 8.5 m/s² Time (t) = 0.45 sDistance (s) =?How to determine the distance travelledThe distance travelled can be obtained as follow:
s = ut + ½at²
s = (25 × 0.45) + (½ × 8.5 × 0.45²)
s = 11.25 + (4.25 × 0.2025)
s = 11.25 + 0.860625
s = 12.11 m
Thus, the distance travelled in 0.45 s by the car is 12.11 m
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a force f1 of magnitude 106.1 lb is directed vertically upward. find a second force f2 that will produce a resultant force of 150.048 lb, 45.0° to the right of f1.
F2 = 106.1 lb directed towards left.
When two forces act on an object, the net force is always zero. To find the second force that would be required to produce a resultant force of 150.048 lb, 45° to the right of f1, you need to use Newton's Second Law: F2 = ma
Where F2 is the second resultant force and m is the mass of object A. Hence, F2 = 106.1 lb directed towards left.
What is Magnitude of force?Forces are objects or situations that cause an object to move. There are several different types of forces, including gravitational force, electromagnetic force, and the pressureForce.
Each has its own magnitude, which is the amount of energy required to cause a specified movement.
Gravitational Force is the weakest type of force and is caused by attractions between two masses. It's responsible for holding us down on Earth and governs how heavy things are relative to one another.
Electromagnetic Force is often considered the strongest type of force because it accounts for nearly all known physical interactions in nature.
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in an experiment in space, one proton is held fixed and another proton is released from rest a distance of 3.50 mm away.
In an experiment in space, one proton is held desk bound and every other proton is released from relaxation at a distance of 3.50 mm. After the proton is launched its initial acceleration is four.14*10^{five}
Given data:
Electrostatic force = kq^{2} /r^{2}
F = ma
ma = [tex]= kq^{2} /r^{2}[/tex]
[tex]a = = kq^{2} /r^{2}m[/tex] ....(1)
Here,
k = [tex]9*10^{-19} C[/tex]
r = 3.50 mm
m = [tex]1.67 * 10^{-27}[/tex]
Putting the details given above into equation 1
[tex]a = \frac{9*10^{9}(1.6*10^{-19})^{2} }{(2.5*10^{-3})^{2}*1.67*10^{-27} }[/tex]
[tex]a = 4.14*10^{5}[/tex]
Electrostatic forces, as an instance, pull or push on objects without genuinely getting into contact with them. while sure substances are rubbed collectively, a phenomenon known as "rate" may be transferred from one surface to some other. Uncharged gadgets are pulled by way of charged objects, which in turn may additionally push or pull towards different charged ones.
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