The natural length of the spring is 10 cm. The further explanation about that can be seen below.
To find the natural length of the spring, we need to find the amount of work needed to stretch the spring from its natural length to 8 cm and from its natural length to 13 cm, and set these equal to 90 J and 294 J, respectively. Let's call the natural length of the spring x and the spring constant k.
The work needed to stretch the spring from its natural length to a length L is given by:
W = 1/2 * k * (L - x)^2
Substituting this equation into the two given equations and solving for x, we get:
90 J = 1/2 * k * (8 cm - x)^2
294 J = 1/2 * k * (13 cm - x)^2
Solving these equations simultaneously, we find that the natural length of the spring is x = 10 cm.
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The gravitational force of a lunar rover is 1,607.2 Newtons on Earth. What will the rover’s gravitational force be on the Moon?
On Earth, g = 9.8m/s2.
On the Moon, g = 1.62 m/s2.
Answer: Fg = 265.68 N
Explanation:
Fg = m * g
m = Fg / g
m = 1607.2 N / 9.8 m/s^2
m = 164 kg
Fg = m * g
Fg = 164 kg * 1.62 m/s^2
Fg = 265.68 N
What is the rest mass m of a particle traveling with the speed of light in the laboratory frame. Express your answer in MeV/c? to one decimal place.
The rest mass m of a particle traveling with the speed of light in the laboratory frame is 0.
We know that, formula for mass of object can be given by:
m= [tex]\frac{m_{0} }{1-\sqrt{v^{2}/c^{2} } }[/tex]
where
m = mass of object
[tex]m_{0}[/tex] = rest mass
v = speed of the particle
c = speed of light
By Modifying this equation we get :
Given speed of particle is equal to speed of light.
i.e. v = c.
Putting this value in above equation we get [tex]m_{0}[/tex] =0.
Therefore, the rest mass of a particle traveling with the speed of light in the laboratory frame is 0.
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if a 5 mhz sound wave is traveling in fat, air, muscle, and bone, which medium will have the shortest wavelength?
The medium with the shortest wavelength, if a 5 MHz sound wave is going through fat, air, muscle, and bone, is air.
The slowest sound speed is in air. The density and elasticity of the medium through which sound travels affects its speed. In general, sound travels more quickly through solids than through gases and liquids. The faster sound travels through a medium, the more elastic and less dense it is. Solid objects transmit sound the fastest. This is because sound waves can travel faster than through a solid medium through a liquid or gas because its molecules are so close together. In actuality, sound waves move over 17 times more quickly in steel than air. So as speed increases wavelength increases. Hence the speed of sound in air is lowest compare to other mediums. Therefore the air will have shortest wavelength of sound.
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A rocket burns fuel at a rate of 269 kg/s and
exhausts the gas at a relative speed of 3 km/s.
Find the thrust of the rocket.
Answer in units of MN.
The thrust of the rocket is 0.807 MN.
What is the thrust of the rocket?
The thrust of the rocket is calculated by applying Newton's second law of motion as shown below.
F = ma
where;
a is the acceleration of the rocketm is the mass of the rocketF = m (v/t)
F = m (x/t²)
F = ( m/t) (x / t)
F = ( m/t ) ( v )
where;
m/t is the mass flow rate of the rocketv is the speed of the rocketF = ( 269 kg/s ) ( 3,000 m/s )
F = 807,000 N
F = 0.807 MN
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which construct can be used in a shell script to read standard input and place it in a variable?
We use a construct that can be used in a shell script the read built-in Bash command to read user input. It assigns user input to the variable after receiving it. It simply takes one line from the Bash shell to read. The syntax for implementing it is listed below.
read <variable_name>
What is the read bash command?A built-in tool in Bash allows you to read text from standard input. The utility provides a wide range of user input reading capabilities that assist make Bash scripts interactive. Through various examples and use situations, this article demonstrates how the Bash read command functions. access to a terminal or command line.
The "read" command in Bash scripting is used to get human input. It's essential to comprehend the "read" command if you want to make your code more interactive. The "read" command is used to retrieve user-inputted data. This article demonstrates how to communicate with users using Bash's "read" command.
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what do the sublevel designations s, p, d, and f specify with respect to the atom's orbitals?
In particles, electrons circle in shells comparing to principle quantum number n. In expanding request of n, the shells are named K, L, M, N, O, P, ...
For a shell of guideline quantum number n, there are subshells comparing to orbital quantum numbers (lowercase L) l = 0, 1, 2, ... , n - 1. Their names are s,p,d,f,... in expanding request of l.
Besides, for every l, there are 2l+ 1 potential attractive quantum numbers ml = 0, ±1, ±2, ... , ±l.
Each state (n,l,[tex]m_l[/tex]) can be involved by up to 2 electrons greatest, which should have opposite spins (Pauli Exclusion Principle).
Likewise, there is a documentation called spectral notation for electron configuration. I'm certain you have seen it.
It is a succession of one metal more orbitals with their electron includes in the structure
[shell number][subshell name][tex]^[number of electrons][/tex]
Model, [tex]1s^22s^22p^6[/tex] for Neon implies 2 electrons in subshell s of the n=1 shell, 2 electrons in subshell s of the n=2 shell, and 6 electrons in subshell p of the n=2 shell. The just subshell for n=1 and both subshells for n=2 are completely filled and no electrons possess n>2 here, accordingly making Neon inert (Noble gas).
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. a single strand of wire of adjustable length is wound around the circumference of a round balloon that has a diameter of 21.0 cm. a uniform magnetic field with a magnitude of 2.00 t is perpendicular to the plane of the loop. if the balloon is blown up such that its diameter and the diameter of the wire loop increase to 31.0 cm in 0.036s, what is the magnitude of the average value of the emf induced in the loop?
The magnitude of the average value of the emf induced in the loop is 2.26 V.
The initial area of wire loop is:
A(initial) = π d² / 4
= 3.14 × ( 0.21 m )² / 4
= 0.0346 m²
And, The wire loop's final location is at:
A(final) = π d² / 4
= 3.14 × ( 0.31 m )² / 4
= 0.0754 m²
It is given that the magnetic field is normal to the loop of wire.
Therefore, angle made by the magnetic field with the normal to the loop
is :
θ = 0°
Applying Faraday's law, the average emf induced in the loop is:
ε = B × ( A(final) - A(initial) ) × cosθ / Δt
ε = 2.00 T × ( 0.0754 - 0.0346 ) m² × cos0° / 0.036 s
ε = 2.26 V
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the plates of an isolated parallel plate capacitor with a capacitance c carry a charge q. what is the capacitance of the capacitor if the charge is increased to 2q?
The plates' exact charges are Q, -Q. The charge that is acquired by the plate when a parallel plate capacitor of capacitor C is connected across a battery of potential difference V will be equal to Q = CV.
The entire charge is stored on both plates of a perfect capacitor. The potential difference V between the two plates is proportional to the charge Q on the plates. Q = CV, C = Q/V, and capacitance C are proportional constants. When one plate's area doubles while the area of the other plate is cut in half, the electrical capacitance is cut in half because the effective area is less. Where A is the area of the plate and d is the separation distance, capacitance C = oA/d.
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14) (10 pts) a series lr circuit contains an emf source of having no internal resistance, a resistor, an inductor having no appreciable resistance, and a switch. i) (6 pts) if the emf across the inductor is of its maximum value after the switch is closed, what is the resistance of the resistor?
The resistance of the resistor is 1.8Ω
Consider the voltage across the inductor 4 sec after the switch is closed is V(4)
The voltage across the inductor 4 sec after the switch is closed is 80% of its maximum value, i.e., V(4)=0.8[tex]V_{0}[/tex]
Consider the expression for the voltage across the RL circuit.
V(t)=[tex]V_{0}e-\frac{t}{T}[/tex]
Where [tex]V_{0}[/tex] is the maximum voltage, t is the time, V(t) is the voltage at time
t and T is the time constant.
Substitute the values of ,[tex]V_{0}[/tex], V(t) and t in the above expression.
[tex]$$\begin{aligned}0.8 \mathrm{~V}_0 & =\mathrm{V}_0 \times \mathrm{e}^{-\frac{4}{\tau}} \\0.8 & =\mathrm{e}^{-\frac{4}{\tau}} \\\frac{1}{0.8} & =\mathrm{e}^{\frac{4}{\tau}}\end{aligned}$$[/tex]
Take natural log on both the sides.
[tex]$$\ln \left(\frac{1}{0.8}\right)=\frac{4}{\tau}$$[/tex]
Rearrange the above expression.
[tex]$$\begin{aligned}\tau & =\frac{4}{\ln \left(\frac{1}{0.8}\right)} \\& =17.9 \mathrm{~s}\end{aligned}$$[/tex]
Now consider the expression for time constant.
[tex]$$\tau=\frac{\mathrm{L}}{\mathrm{R}}$$[/tex]
Where R is the inductance and L is the resistance.
Rearrange the above expression.
R = [tex]\frac{L}{T}[/tex]
Substitute the values of T and L in the above expression.
[tex]R=\frac{34}{17.9}\\ R=1.8[/tex]Ω.
Therefore, the resistance of resistor is 1.8Ω
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6. over what range of distances from the sun would you expect to find only solid, rocky material collecting together to form a terrestrial planet? explain your reasoning.
The distance from the sun at which this material can collect and form a terrestrial planet is influenced by a number of factors, including the presence of volatile materials, and the amount of radiation and heat being emitted by the star.
In general, terrestrial planets are thought to form within a habitable zone, which is a range of distances from a star where the temperature is just right for liquid water to exist on the surface of a planet. This zone is often referred to as the "Goldilocks zone," because it is not too hot and not too cold for life as we know it.
The inner boundary of the habitable zone is determined by the distance at which the temperature of the protoplanetary disk is too high for water ice to exist, while the outer boundary is determined by the distance at which the temperature of the disk is too low for water vapor to remain in the atmosphere.
Based on these factors, it is thought that terrestrial planets can form within a distance range of approximately 0.8 to 1.5 astronomical units (AU) from the sun. One AU is the average distance from the Earth to the sun, which is about 93 million miles.
2. a student places an object with a mass of m on a disk at a position 0.2m from the center of the disk. the student starts rotating the disk. when the disk reaches a speed of 0.8 m/s, the object starts to slide off the disk. what is the coefficient of static friction between the object and the disk? (4 pts)
The coefficient of static friction when the speed of the disk is given, is calculated to be 0.065 / r.
The maximum velocity of an object moving in a curve beyond which it will slide off the curve is given by the relationship,
v = √(μ* g* r) ----(1)
where is the coefficient of friction between the object and the surface of the curve, g is acceleration due to gravity and r is the radius of the curve.
Given that,
v = 0.8 m/s
g = 9.8 m/s²
r = ?
μ = ?
Making μ as subject, we have,
μ = v²/(g*r) ----(2)
As we were not given the value of r, we can just substitute other known values, then solve and leave the answer in terms of r.
μ = (0.8)²/(9.81* r) = 0.64/ (9.81* r) = 0.065 / r
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Jimi is pushing a large cart at work toward the left side of the store using 10N of force. His friend Jonah comes up and pushed the cart with 8 N of force toward the right side of the store. What is the net force and direction of the cart
The net force acting on the cart is 2 N in left direction.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. Newton is the SI unit of force.
Jimi is pushing a large cart at work toward the left side of the store using 10N of force.
Jonah pushed the cart with 8 N of force toward the right side of the store.
Hence, the net force acting on the cart in left direction = ( 10 N - 8 N) = 2 N.
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Joe pushes down the length of the handle of a 12.9 kg lawn spreader. The handle makes an angle of 41.7◦ with the horizontal. Joe wishes to accelerate the spreader from rest to 1.39 m/s in 1.7 s. What force must Joe apply to the handle? Answer in units of N.
Answer:
Below
Explanation:
Only the HORIZONTAL force , F cos 41.7 moves the spreader forward
The acceleration = change in V / change in t = 1.39/1.7 = .818 m/s^2
F = m * a
F cos 41.7 = 12.9 * .818 shows F = 14.12 N
a convex lens has a focal length fff . an object is placed at a distance between fff and 2 fff on a line perpendicular to the center of the lens. the image formed is located at what distance from the lens?
The image will be formed beyond 2f if the object has been kept between f and 2f in a convex lens.
Any converging lens is referred to as a convex lens.
A lens that converges light rays that are moving parallel to its main axis is known as a converging lens or convex lens.
The distance between a lens's center and its focus is known as the focal length, or f, of a lens.
When an item is positioned along a line perpendicular to the center of the lens, between infinity and twice the object's distance from the focal point,
The image will be situated between the focal point, f, and twice the focal point's distance, 2f.
Consequently, for an object positioned along a line perpendicular to the center of the lens between infinity and 2f.
The image created by a convex lens when an item is positioned between F and 2F is magnified, real, inverted, and beyond 2F.
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find the work done by a force of 12 newtons at 25 degrees pulling an object 10 meters up a ramp inclined at 4 degrees
The work done by a force is 40.14 J
The work done is calculated to include both the force applied to the body and the overall movement of the body. There is a constant force F in front of this block. The purpose of this force is to move an object a certain distance d in a straight line in the direction of the force.
The cart is lifted to a height, h:
h = (10meters) ×sin(4) = 0.69 m
The force in the vertical direction is:
Fy = 12N×sin(29o) = 58.177N
Work = F×d = (58.177)×(0.69) = 40.14 joules
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which of the following cannot travel in a vacuum? a. a yellow light wave b. a sound wave c. a radio wave d. all can travel in a vacuum. e. none can travel in a vacuum.
Which of the following cannot travel in a vacuum- none can travel in a vacuum.
To travel from one place to another by car, train, plane or ship; Travel: Travel for pleasure. To move or move from one place or point to another. Continue or proceed in any way. As a representative of a commercial company, I travel from place to place. Communicate or Spouse: He travels in wealthy crowds.
Travel refers to activities that involve long journeys. Tourism also means travel, but tourism has a specific purpose. It means a trip to a pleasant place. We travel with our hearts and eyes open to learning more about the world than a newspaper can contain. We travel by ignorance and knowledge to bring the least we can to regions where the distribution of wealth is different.
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if particle 3 is of unknown charge is to be located such that the net electrostatic charge from particles 1 and 2 is zero, what must be the x and y coordinates
For the distance between q 3 and q 1, the formula is: = 3 L 0 = 3 1 L = 3 1 10 cm 14 cm. Q3 should therefore be positioned at x=14 cm along the x-axis.
For q 3, there is no equilibrium position.
between two fixed changes because one is pulling it and the other is pushing it
L is set at 10 cm, and L 0 is taken to be positive. We cancel k and q 3 and set this equal to zero as the problem specifies. As a result, we get L 0.
∣q 1\s\s ∣\s\s − \s(L+L \s0\s\s)\s∣q \s2\s\s ∣\s\s =0 ⇒(\sL \s0
L+L \s0\s
\s ) \s2\s = \s∣\s∣\s∣\s∣\s∣\s
q \s1\s
q \s2\s
∣\s∣\s∣\s∣\s∣\s\s = \s∣\s∣\s∣\s∣\s∣
+1.0 μC\s−3.0 μC
=3.0 results in L 0 after taking the square root.
L+L \s0\s
For the distance between q 3 and q 1, the formula is: = 3 L 0 = 3 1 L = 3 1 10 cm 14 cm. Q3 should therefore be positioned at x=14 cm along the x-axis.
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a loaded grocery cart is rolling across a parking lot in a strong wind. you apply a constant force f
The digits on the left side of the number 3 remain the same when it is less than 5, however the digits on the right side of the number 3 and 3 are replaced by zero. done work=-180 J
We are informed that
Constant force = F = (33 N)i - (41 N) j
Displacement=s=(-9.4m)i-(3.1m)j
We must locate the completed work.
Done work = F.s.
Using the equation
Working = (33i-41j).
(-9.4i-3.1j)
Work completed: 33. (-9.4)
i+41j.3.1j
Making use of the rules i.i=j.j=k.k=1, i.j=j.k=k.i=i.k=k.j=j.i=0, and
Finished work: -310.1+127.1
Finished work: 183.1 J
Answers must be written with two significant figures.
The digits on the left side of 3 remain the same when the unit's digit 3 is less than 5, however the digits on the right side of 3 and 3 will be replaced by 0.
done work=-180 J
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what period do you expect to find for small amplitude swinging motion of a rock tied to a 1.0 m long string?
For small amplitude swinging motion of a rock tied to a 1.0 m long string is 2.0 s.
The length of the pendulum L = 1.0m = 100cm
Hence it is a seconds pendulum
so, its time period would be 2 seconds
[tex]\text { From } \begin{aligned}T & =2 \pi \sqrt{\frac{l}{g}} \\& =2 * 3.14 * \sqrt{\frac{1.0}{9.81}} \\& =2.0 \mathrm{~s}\end{aligned}[/tex]
The amount of time that a behavior lasts or a condition persists. Depending on the type of activity or situation under consideration, it may be measured in seconds or in millions of years.
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a solenoid of length 2.50 cm and radius 0.550 cm has 45 turns. if the wire of the solenoid has 1.15 amps of current, what is the magnitude of the magn
According to the given statement 11.38 T is the magnitude of the magnetic field inside the solenoid.
What is vector and magnitude?By using the symbol |v|, the strength of a vector theorem can be utilized to determine the length for such a given vector (let's say v). This amount is essentially the distance between the vector's beginning point and ending point. The range calculation, which we will go over in this section, is used to determine the vector's magnitude.
Briefing:Length of solenoid, L = 2.5 cm = 0.025 m
Radius of solenoid, r = 0.55 cm = 0.0055 m
Number of turns, N = 45 turns
Current, I = 1.15 A
Magnetic field, B, is given as:
B = (N*r*I) /L
B = (45 * 0.0055 * 1.15)/0.025
B = 11.38 T
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The complete question is-
A solenoid of length 2.50 cm and radius 0.550 cm has 45 turns. If the wire of the solenoid has 1.15 amps of current, what is the magnitude of the magnetic field inside the solenoid?
Calculate the work done by the electrostatic field in moving a charge of 2 coulomb from one point to another, if the potential of the first point is 20V, and the second - (5V)
Answer:
To calculate the work done by the electrostatic field in moving a charge from one point to another, you can use the formula:
work = charge * (final potential - initial potential)
In this case, the charge is 2 coulombs, the initial potential is 20V, and the final potential is -5V. Plugging these values into the formula, we get:
work = 2 coulombs * (20V - (-5V))
= 2 coulombs * (25V)
= 50 Joules
Therefore, the work done by the electrostatic field in moving the charge from one point to another is 50 Joules.
On a route to senior prom, a couple was cut off by another car. The couple traveling 21 m/s slammed on the brakes and slowed to a speed of 8 m/s in a time of 1.4 seconds. How far did they travel while breaking?
1) 18 m
2) 20 m
3) 29 m
4) 41 m
5) answer not shown
They travelled 20 meter while breaking. Hence, option (2) is correct.
What is speed?Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
Initial speed of the car is: u = 21 m/s.
Final speed of the car: v = 8 m/s.
Time interval: t = 1.4 second.
Deceleration of the car: a = (u-v)/t = (21 - 8)/1.4 m/s^2 = 9.29 m/s^2.
Hence, the car traveled during deceleration:
s = ut - at^2/2
= (21×1.4) - 9.29×(1.4)^2/2 meter
= 20 meter.
Hence, option (2) is correct.
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Consider how Nyad physically and mentally trained for her endeavor. Which of these training and conditioning exercises—those designed to increase her physical endurance or those intended to get her through mentally—do you believe helped her the most and why?
Physical and mental training helps to increase endurance.
What are the benefits of physical and mental training?It should come as no surprise that helping your body will also benefit your mind. Your brain receives more oxygen when you exercise. Additionally, it raises your brain's levels of endorphins, or "feel-good" chemicals. This is why it makes sense that those who maintain a healthy physical state also frequently exhibit higher levels of mental agility.
Exercise your mind just as much as your body. A study published in the Proceedings of the National Academy of Sciences claims that specific memory workouts can improve "fluid intelligence," or the capacity to reason and solve novel challenges.
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a baseball is hit with a horizontal speed of 16 m/s and a vertical speed of 12 m/s upward. what are these speeds 5 s later?
After t = 4 seconds, ascertain the baseball's vx and vy horizontal and vertical speeds. Only the pressure applied on the object's vertical component—gravity—is recognized by us. This indicates that the perpendicular speed is unchanged.
What is the easiest way to define gravity?A planet and maybe other bodies pull objects toward their centers through their gravitational force. The gravitational attraction of the sun keeps all of the planets in their orbit around it.
How do these two things affect gravity?The size of an object and its distance from other things both have an impact on gravity. The mass of a thing is a gauge for its matter content. A heavier object will fall to the ground more quickly than a lighter one. Gravitational pull weakens when the separation between two objects grows.
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a wire carries an electric current straight upward. what is the direction of the magnetic field due to the current north of the wire
The current north of the wire fliws upwards as of the electric current straight upward.
The proper-hand thumb rule suggests the path of the magnetic area for a recognise path of the modern-day. If the thumb of the proper-hand factors alongside the path of modern-day then the curled arms of that hand offers the path of the magnetic area because of the modern-day.
The path of the magnetic area is perpendicular to the twine and is withinside the path the arms of your proper hand might curl in case you wrapped them across the twine together along with your thumb withinside the path of the modern-day.A vertical twine wearing a modern-day withinside the upward path is located in a horizontal magnetic area directed toward north.
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a grandfather clock is running slow. the period of its pendulum is too long. to shorten the period and make the clock run faster, you should.
Running slowly is a grandfather clock. Its pendulum has an excessively lengthy period. You can speed up the clock by cutting the period in half. To do this, reduce the pendulum's length.
In order to allow it to freely swing, a weight is suspended from a pivot like a pendulum. The restoring force from gravity will cause a pendulum to accelerate back toward its equilibrium position when it is sideways moved from its resting, equilibrium position. The pendulum swings back and forth about the equilibrium position after being freed due to the restoring force acting on its mass. The period is the length of time required for one full cycle, which includes both a left and right swing. The length of the pendulum and, to a lesser extent, its amplitude, or swing breadth, both affect the period.
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A ball is kicked with an initial horizontal velocity of 3.6 m/s off of a 19.6 m cliff. How
far away will the ball land from the cliff?
If a ball is thrown at an initial horizontal velocity of 3.6 meters per second off of a cliff that is 19.6 meters high, it will land 35.28 meters away from the cliff.
What is velocity?The vectoral expression of a particle and object's motion with respect towards time is called its velocity. The recognized unit for measuring magnitude of velocity is indeed the meters per second (m/s), which is frequently referred to as speed. Velocity is the rate at which an object's position is changing as perceived from a particular point of view and so as measured by a certain unit of time. It refers to the direction speed of the an object in motion.
How do you calculate velocity?Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Speed in the SI is expressed in m / sec. The average speed (S) is calculated using the equation S = d/t, where d is the entire distance traveled and t denotes the total time. One can determine an object's beginning velocity by dividing the time it took the thing to go a specific distance by the total distance.
Briefing:D = (1/2) gt2 where g = 9.8 m/s2
It takes time to descend the 19.6-meter cliff.
19.6 = 1/2(9.8)t2
19.6/4.9 = t2
Square root 90.4 = about 9.8 sec.
3.6 m/s x 9.8 sec = 35.28 m
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6) suppose the amount of mass in a black hole doubles. does the event horizon change? if so, how does it change?
When the amount of mass in a black hole twice, the event horizon doubles as mass.
The black hole's mass affects the event horizon's size. The radius of a black hole increases with its mass. For the Sun or any object with a solar mass of one, the event horizon is 3 km (a little under two miles). Black holes become less dense the more mass they receive. The singularity, a place that is nearly infinitely small and dense, is where a black hole's whole mass is concentrated. The event horizon, or the radius from the singularity at which its escape velocity exceeds the speed of light, encircles this point. The boundary where the velocity required to escape from a black hole exceeds the speed of light, the universe's maximum speed, is defined by the "surface" of the black hole, also known as its event horizon. Radiation and matter fall in, but they are unable to exit.
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what principle is described by the distribution of objects in a visual field that connects the different parts of a whole work? space balance movement symmetry
In interior design, balance refers to the appropriate placement of elements in a space to produce aesthetic harmony.
Balance refers to how objects, colors, textures, and space are distributed visually. These components should be balanced to create a design that feels stable, as if the design were a scale. Balance refers to the idea of visual equilibrium and has to do with our feeling of balance on a physical level. Visual stability is the consequence of balancing conflicting forces in a composition. The majority of well-balanced compositions do so either symmetrically or asymmetrically. Equal weights on equal sides of a composition, balanced around an axis or fulcrum in the middle, are indicative of symmetrical equilibrium. Symmetrical balance inspires feelings of formality and elegance (it's also known as formal balance).
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express the internal shear in terms of x for 0≤x≤6ft, where x is in ft.
The internal shear in terms of x for [tex]$0 \leq x \leq 6 \mathrm{ft}$[/tex], where x is in ft. will be[tex]V_x & =A_y-400 \times x =1900-400 x[/tex]
A free-body diagram is a graphical representation used in physics and engineering to show the applied forces, moments, and consequent reactions on a body in a specific situation. It shows a body or group of connected bodies together with all the applied forces, times, and responses that the bodies experience.
Potential energy and equilibrium are related in that the body's potential energy is lower in such an equilibrium.
In this case, the state generates a force that does not resist the displacement when a little distance displaces the body.
Draw the free-body diagram as shown below.
Consider the moment equilibrium condition about B.
[tex]$$\begin{aligned}& M_B=0 \\& A_y \times 9-400 \times 6 \times\left(\frac{6}{2}+3\right)-900 \times 3=0 \\& A_y=1900 \mathrm{lb}\end{aligned}$$[/tex]
Write the internal shear force equation for [tex]$0 \leq x \leq 6 \mathrm{ft}$[/tex].
[tex]V_x & =A_y-400 \times x =1900-400 x[/tex]
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The complete question should be:
Express the internal shear in terms of x for [tex]$0 \leq x \leq 6 \mathrm{ft}$[/tex], where x is in ft.
Express your answer in terms of x. Express your answer using three significant figures.