The identical formula for the two angles is Asin(b),Asin(b).
The general word for interference effects involving edges or apertures is diffraction. In waves with longer wavelengths than those of light, diffraction is more common. Diffraction, for instance, is what causes sound to swell when it goes through a doorway or bend around corners. Diffraction causes water waves along a rocky coast to widen as they pass through the rocks. Usually, Fresnel and Fraunhofer diffraction regimes are distinguished.
Fresnel diffraction is the regime in which the diffracted waves are observed relatively close to the site of the diffraction (in comparison to the size of the item causing the diffraction). Working with Fresnel diffraction is typically very challenging. The Fraunhofer diffraction regime is the more manageable of the two.
angle 1 = asin(λb),
angle 2 = asin(−λb)
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Lenz's Law The magnetic flux through the loop shown in the accompanying figure varies with time according to4Pm milliwebers. What are the direction and magnitude of the current through the 5.00-Ω resistor at (a) t = 0 ; (b) =2.00e-31 sin( 120m), where Pm is '' ' ' t= 2.17×10-2 s, and (c) t=3.00 s? 5.0 Ω
At t = 0, the current through the 5.00-Ω resistor is 0 A. At t = 2.17×10-2 s, the current through the resistor is -2.2 A, flowing in the opposite direction to the arrow .
(a) At t = 0, the current through the resistor is 0 A.
(b) At t = 2.17×10-2 s, the current through the resistor is -2.2 A. The negative sign indicates that the current is flowing in the opposite direction to the arrow
(c) At t = 3.00 s, the current through the resistor is 0 A.
At t = 0, the current through the 5.00-Ω resistor is 0 A. At t = 2.17×10-2 s, the current through the resistor is -2.2 A, flowing in the opposite direction to the arrow.At t = 3.00 s, the current through the resistor is 0 A.
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Select the correct answer. A van traveling down a slope with a uniform acceleration of 2.15 meters/second2 attains a speed of 20.00 meters/second after 7.00 seconds. What is the initial velocity of the van
Answer:
Initial velocity of the van is 4.95m/s
Explanation:
Acceleration is found using the following formula:
[tex]a=\frac{v-u}{t}[/tex]
where:
a is acceleration ( in meters per second squared)
v is final velocity ( in meters per second)
u is initial velocity ( in meters per second)
t is time ( in seconds)
We know that:
[tex]a = 2.15m/s^{2}[/tex]
[tex]v = 20m/s[/tex]
[tex]t=7s[/tex]
Therefore, we can find the initial velocity by shifting around some values and making [tex]u[/tex] the subject within the acceleration formula by multiplying both sides by [tex]t[/tex]:
[tex]a[/tex] × [tex]t=v-u[/tex]
Followed by:
[tex]u = v-at[/tex]
Now we can substitute in the values we have:
[tex]u = 20-(2.15[/tex] × [tex]7)[/tex]
[tex]u = 20 - 15.05[/tex]
[tex]u=4.95m/s[/tex]
The piton in fig 2. 1. 15 i pulled out of the cylinder from piton x to piton y without changing the temperature of the air encloed if the original preure in the cylinder wa 1. 0 multiply by 10 calculate the air preure when the piton i at poition y
The pressure at position y to be 10.0, which is the air pressure when the piston is at position y.
If the original pressure in the cylinder was 1.0, and the piston is pulled out from position x to position y without changing the temperature of the enclosed air, the air pressure at position y will be increased. This is due to the change in volume of the cylinder as the piston is pulled out. As the volume increases, the number of air molecules inside the cylinder also increases, which causes an increase in the air pressure.
To calculate the air pressure when the piston is at position y, we can use the gas law known as Boyles' Law, which states that the pressure and volume of a gas are inversely proportional. Therefore, if the volume increases, the pressure will decrease, and if the volume decreases, the pressure will increase.
P₁V₁=P₂V₂Where P₁ is the initial pressure, V₁ is the initial volume, P₂ is the final pressure, and V₂ is the final volume.
By substituting the given values, we have:
1.0V₁ = P₂(V₁+V)Where V is the change in volume due to the movement of the piston.
Solving for P₂:
P₂= 1.0*V₁/(V₁+V)P₂= 1.0*1.0/(1.0+V)As we know, the original pressure is 1.0, and if we multiply it by 10, we will get the final pressure at position y to be 10.0, which is the air pressure when the piston is at position y.
This question is not written in a proper manner. The corrections are:
The piston in fig. 2. 1.15 is pulled out of the cylinder from piston x to piston y without changing the temperature of the air enclosed. If the original pressure in the cylinder was 1.0, multiply by 10 to calculate the air pressure when the piston is at position y.Learn more about piston–cylinder here: brainly.com/question/24884868
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How many grams are in 268.0 mg
0.268 because grams are 1000 times bigger than mg
1 milligram = 0.001 grams
268.0mg * 0.001g
[tex]=\fbox{0.268 grams}[/tex]
During a walk-around inspection, ensure there are no cracks on the brake drums that are more than ____ of the width of the friction area.
It's crucial to inspect the brake drums as part of your walk-around examination before setting off on a journey. If any brake drum has a crack that is more than half the breadth of the friction region.
What causes brake drums to crack?Overheating and undercooling of the brake pedal during operation might result in cracked drums.
What should you do if the brake drum develops a crack?Drums with cracks need to be changed right away. Blue ground -High temperatures, braking imbalance, abrupt stops, dragging brakes, or glazed brake pads can all result in blue drums. If no cracks have appeared, blue drums can still be utilized.
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an astronomer observes a magnitude 18 star, but needs 10 times as many. what's the faintest star he can see and still get enough photons.
As according Scientific American, even one photon can result in a visible burst of light.
How so many photons are necessary for you to see a star?The human eye can see about 10 photons.To an eye accustomed to the dark, the weak light may appear to be flashing, yet each twinkling just represents a few photons.When shooting images of the cosmos from orbit with very sensitive equipment at very low temperatures, a photon stream would be sufficient.
Can you see a single photon?The answer is yes because the receptors in the retina can respond to a single photon.However, brain filters only allow a signal to pass through and activate the brain when five to nine additional signals do the same in less than a hundred milliseconds.
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In pan 1, you'll spray the sand with water. In pan 2, you'll set ice cubes on the sand to melt. Predict what will happen in each pan
In pan 1, when you spray the sand with water, the water will be absorbed by the sand and the sand will become more compact and dense. This is because water molecules will fill the spaces between sand particles and increase the weight of the sand.
In pan 2, when you set ice cubes on the sand, the ice cubes will begin to melt as they come into contact with the warmer sand. As the ice melts, the surrounding sand will become wet. The meltwater will also lower the temperature of the sand around the ice cubes.
The ice cubes will continue to melt until they are fully melted, and the water will be absorbed by the sand. The wet sand will be cooler than the dry sand. This process will cause a change in the temperature and moisture content of sand which can be observed and studied.
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After the switch is closed, which plate of the capacitor eventually becomes positively charged?
O the top plate O the bottom plate O both plates O nelther plate because electrons are negatively charged
The correct option is A, After the switch is closed, the top plate of the capacitor eventually becomes positively charged.
A capacitor is a passive device that stores electrical energy in an electric field. It consists of two conducting plates separated by an insulating material such as air, paper, mica, ceramic, or plastic. When a voltage is applied across the two plates, the electric field created between them stores the energy in the form of an electrostatic potential.
When the voltage is removed, the charge stored in the capacitor is slowly discharged, releasing the energy. Capacitors are used in a wide range of applications, from power supplies and signal processing to motor control, filtering, and energy storage. They are also used to smooth out short-term fluctuations in voltage or current and are key components in many types of electronic circuits.
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Suppose you have a light spring stretched out and one end is attached to a wall. With this setup, you can move the free end in any of three directions (x,y, z). The spring lies along the z axis.
Which type of wave do you create when you move the free end along the z axis?
Which type of wave do you create when you move the free end along the x axis?
Which type of wave do you create when you move the free end along the y axis?
CHoose one for each.
transverse
longitudinal
When you move a stretched out light spring one end attached to a wall lying in z-axis along z-axis, you get a longitudinal wave and when along x-axis or y-axis, you get a transverse wave.
When you move the free end of the spring along the z axis (the axis along which the spring is stretched), you create a longitudinal wave. This is because the displacement of the spring particles is in the same direction as the direction of wave propagation.
When you move the free end of the spring along the x axis, you create a transverse wave. This is because the displacement of the spring particles is perpendicular to the direction of wave propagation.
When you move the free end of the spring along the y axis, you create a transverse wave. Similarly to x axis, the displacement of the spring particles is perpendicular to the direction of wave propagation.
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The resistor in an RC circuit (a circuit where a resistor and a capacitor are connected in series) has a resistance of 145 ohm.
A circuit with a series connection between a resistor and a capacitor.
What is meant by capacitor?An electrostatic field of stored energy can be found in passive electronic components called capacitors. A capacitor is made up of two conducting plates that are separated from one another by a substance known as the dielectric.A capacitor is an electrical component with two terminals that has the ability to store energy in the form of an electric charge. Two electrical cables are used, and they are spaced apart. Vacuum or an insulating substance known as a dielectric can fill the gap between the conductors. To keep the voltage at a specific level, capacitors are also employed. The voltage pulsation can be lessened by using them.
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While vacationing in the mountains you do some hiking. In the morning, your displacement is S⃗ morning= (2100 m , east) + (3000 m north) + (200 m , vertical). Continuing on your hike after lunch, your displacement is S⃗ afternoon= (1400 m , west) + (2900 m , north) - (400 m , vertical). What is the magnitude of your net displacement for the day?
The magnitude of the net displacement for the day depends on the total distance traveled and the direction in which traveled.
What do you mean by Magnitude?
Magnitude is a measure of the size or intensity of a physical quantity. It is typically expressed in terms of a numerical value and a unit. Examples of physical quantities with magnitude include speed, acceleration, force, energy, pressure, and power. Magnitude is a measure of the size or intensity of a physical quantity, and is typically expressed in terms of a numerical value and a unit.
Step 1: Find the resultant displacement vector by adding the vectors.
S total = S morning + S afternoon
= (2100 m , east) + (3000 m north) + (200 m , vertical) + (1400 m , west) + (2900 m , north) - (400 m , vertical)
Step 2: Simplify the vector.
S total = (700 m , east) + (5900 m , north) - (200 m , vertical)
Step 3: Calculate the magnitude of the resultant vector.
|S total | = √(700 m)^2 + (5900 m)^2 + (-200 m)^2
|S total | = √(490000 m^2 + 348400 m^2 + 40000 m^2)
|S total | = √(882400 m^2)
|S total | = 939.4 m
Hence, the magnitude of the net displacement is 939.4 m.
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Lab motion
Table E: Average Speeds for Higher Racetrack
Time (Initial) |Time (Final) |Elapsed |Time |Average speed
| | | |
(s) (s) (s) (m/s)
1st ¼ of the Track
-------------------------------------------------------------------------------------------------------
2nd ¼ of the Track
-------------------------------------------------------------------------------------------------------
3rd ¼ of the Track
-------------------------------------------------------------------------------------------------------
Final ¼ of the Track
-------------------------------------------------------------------------------------------------------
R is the radius of speed curvature of the turn, g is the acceleration due to gravity, and μs is the coefficient of static friction.
θ is the angle of banking. For no slippage to occur even when the contribution of the frictional force in the centripetal force is not considered, we ignore the effect of friction and get the Time. Well, if the radius must be a single measurement, then the turn will be perpendicular.
While you're gathering necessary data, there's a discrepancy in your Average speed. Unless there are also tighter or unbanked turns, it's difficult to imagine the average speed=cornering speed.
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How does the number of wavelengths vary with the orbital number of the shell?
a. The number of wavelengths increases corresponding to the orbital number of the shell.
b. The number of wavelengths decreases corresponding to the orbital number of the shell.
c. The number of wavelengths does not change with the orbital number of the shell.
The number of wavelengths increases corresponding to the orbital number of the shell.
The quantum mechanical model of atoms represents the three-dimensional location of the electron in a probabilistic manner using a mathematical function known as a wavefunction, which is sometimes denoted as. Orbitals are another name for atomic wavefunctions. The wavefunction's squared magnitude reflects the probability distribution of locating the electron in a certain region of space. As a result, atomic orbitals characterize the regions of an atom that are most likely to contain electrons. Three quantum numbers characterize an atomic orbital. Any positive integer can be used as the primary quantum number, n. n is connected to the general region for orbital energy value and the average distance of an electron from the nucleus.
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For the circuit shown in the figure, what is the current through resistor R1? A) 0.071 A
B) 0.13 A
C) 0.029 A
D) 0.016 A
For the circuit shown in the figure, 0.071 A is the current through resistor R1.
What is circuit ?
Circuit is an electrical network consisting of interconnected components that allow electricity to flow through it. It is used to control, regulate, and direct the flow of electricity in order to perform a specific task. A circuit is composed of wires, resistors, transistors, capacitors, and other components which are connected together in order to form a complete system. This system can be used to control a variety of electrical devices, such as lights, motors, and computers. Circuits can be used to create a wide range of applications, from simple household appliances to complex industrial machines.
The current through R1 can be calculated using Ohm's Law:
I = V/R = (9V)/(120Ω) = 0.075 A
Therefore, the answer is A) 0.071 A.
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Using Newton’s third law, explain why the impulse on one object in a collision is equal in magnitude but opposite in direction to the impulse on the second object. Answer if yk
Since every action has an equal and opposite response according to Newton's third law of motion, the impulses that colliding objects exert on one another are equal and opposite.
This implies that whenever one item exerts force on another, the other object responds by exerting a force that is equal to and opposite to that exerted by the first object. A collision is a brief interaction between two bodies or more than two bodies at once that results in a change in the motion of the bodies involved due to the internal forces at play. force is involved in collisions (there is a change in velocity ). When two bodies collide, their combined kinetic energy stays constant, which is known as an elastic collision.
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Try to identify the following based on their description by a field geologist: A geologist found this sample to have an extremely shiny appearance, which was determined to be a bright silvery gray metallic. This sample is not very hard, maybe slightly harder than or as hard as a fingernail and seems to break into cubes.
This sample tends to break into cubes and is not extremely hard, perhaps just slightly harder than or as hard as a fingernail.
What is meant by sample?In contrast to the statistical definition, which refers to a collection of such values, a sample is a value of the signal at a particular moment in time and/or location.The number of samples per second (or per other unit) taken from a continuous signal to create a discrete or digital signal is known as the sampling rate or sampling frequency. A sample is a portion of continuous time-domain data that has been taken from the entire dataset. When a source produces an analog signal, the signal must be discretized in time if it is to be converted to a digital signal consisting of 1s and 0s, or High or Low. Sampling is the term used to describe this discretization of the analog stream.To learn more about sample refer to:
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Galena is not very hard, maybe slightly harder than or as hard as a fingernail and seems to break into cubes.
What is the use of the mineral galena?The main source of lead is galena, which is frequently mined for its silver content. In ceramic glaze, it can serve as a source of lead.
Where can one find galena?Galena was designated as Missouri's official mineral in 1967. The Joplin-Granby region in southwest Missouri, which is a part of the Tri-State Mining District, saw a boom in galena mining. Crawford, Washington, Iron, and Reynolds Counties all have rich deposits.
Galena is it light or heavy?Galena is lead sulfide with a specific gravity of 7.4 to 7.6 and a Moh's hardness of 2.5, making it actually rather soft. However, it is VERY heavy. It weighs roughly 700 pounds per cubic foot, for comparison.
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Part A Find the magnitude of the minimum lorce F Ihal allows Ihe window washer t0 move upward Express your answer in terms of the mass M and the magnitude of the acceleration due to gravity g
The minimum force that allows the window washer to move upward is Mg. The force is in terms of mass and acceleration due to gravity.
Given:
M = Mass of the window washer
g = Acceleration due to gravity
The forces acting are:
Force due to gravity = M × g
Tension in the rope = Force applied by the washer
The net force is zero. Therefore, the tension is:
T - M × g = 0
T = Mg
Hence, the minimum force that allows the window washer to move upward is Mg. The force is in terms of mass and acceleration due to gravity.
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When a motor vehicle strikes a tree while traveling at 40 mph, the unrestrained occupant:
A. is thrust under the steering column onto the floorboard.
B. remains in motion until acted upon by an external force.
C. will decelerate at the same rate as the motor vehicle.
D. will most likely be thrown over the steering column.
D. will most likely be thrown over the steering column. When an unrestrained occupant is in a motor vehicle that strikes a tree while traveling at 40 mph, the occupant will be thrown from the vehicle due to the force of the impact. Without a seatbelt, the occupant will be thrown forward over the steering column.
When a motor vehicle strikes a tree traveling at 40 mph, the unrestrained occupant will be thrown forward and over the steering column with a force that is greater than the force of the motor vehicle's deceleration. This is due to the fact that the occupant is not restrained and therefore is not held in place by the seatbelt, allowing them to travel at the same speed until acted upon by an external force.
When a motor vehicle strikes a tree traveling at 40 mph, the unrestrained occupant will be thrown forward and over the steering column with a force that is greater than the force of the motor vehicle's deceleration.
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Forces acting upon a 100-kg crate sliding down an inclined plane, the plane is inclined at an angle of 30 The coefficient of friction between the crate and the incline is 0.3. Determine the net force of the crate. Use: g=10m/s, Sin30°=0.5, and Cos30°=0.9 A) 300N B) 200N C) 100N D)230N
Forces acting upon a 100-kg crate which is sliding down an inclined plane, the plane is inclined at an angle of 30 The coefficient of friction between the crate and the incline is 0.3. the net force of the crate is 230N.
What is coefficient of friction ?The amount of friction between two surfaces is measured by the coefficient of friction. You determine the resistance to motion at the intersection of two surfaces made of similar or dissimilar materials when you determine the coefficient of friction.Solution:
Given:
Mass of crate=100kg
Angle of inclination=30°
coefficient of friction=0.3.
Now,
F∥=mgsinθ=(100)(10)0.5=500N is the force acting parallel to the inclined plane.
then,
Normal force= mgcosθ=(100)(10)(0.9)=900N
then, frictional force =
Frictional force=μkF⊥=(0.3)(900)=270N
Finally the net force = F∥-frictional force
the net force =500-270
the net force =230N
Hence, the net force is 230N
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A construction worker drops a 1.9 kg hammer from a roof that is 6.25 m high. What is the velocity of the hammer when it strikes the ground?
The velocity of the hammer of mass 1.9 kg is 11.07 m/s.
What is velocity?Velocity is the rate of change of displacement.
To calculate the velocity of the hammer, we use the formula below.
Formula:
v = √2gh................... Equation 1Where:
v = Velocity of the hammerg = Acceleration due to gravity = 9.8 m/s²h = Height of the roof = 6.25 mSubstitute these values into equation 1
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Sound travels at 343 m/s through dry air.If a lightning bolt strikes the ground 2000 m away from you,How long will it take for the sound to reach you?
The time it takes the sound wave to travel to and fro through 2000 m is 11.66 seconds.
What is sound wave?A sound wave is the pattern of disturbance caused by the movement of energy traveling through a medium.
To calculate the time it takes the sound wave to travel, we use the formula below
Formula:
t = 2d/v...................... Equation 1Where:
t = Timed = Distancev = VelocityFrom the question,
d = 2000 mv = 343 m/sSubstitute these values into equation 1
t = (2×2000)/343t = 11.66 secondsThe time it takes is 11.66 seconds.
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If the impact of the golf club on the ball in the previous question occurs over a time of 2 x 10^-3 seconds, what force does the ball experience to accelerate from rest to 73 m/s
The force experienced by the ball to get accelerated was found to be 3.65.
What exactly does acceleration means ?The rate of change in velocity is defined as acceleration. The magnitude of acceleration at every point along a trajectory is provided by the rate of change of velocity in both magnitude and direction at that location. The real acceleration at time t is determined in the limit as a time interval.
Time = 20s
The initial velocity is 0m/s.
Final speed = 73m/s
Unknown: Experience with forcing the ball =?
To answer this problem, we use Newton's second law of motion's equation:
formula for force was :
F=ma
The mass is denoted by m.
The final velocity is denoted by v.
The starting velocity is denoted by u.
It is the amount of time spent
So;
F = m (v - u / t)
F = m (73-0/20)
= 3.65 times mass
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if energy of 10 watts is transferred into a conatiner of helium, how long does it take to vaporize 1 kg of liquid helium
Consider how much energy is required to melt one kilogram of ice at zero degrees to produce one kilogram of water at zero degrees.
The energy required to melt one kilogram of ice is determined by Q = mLf = (1.0 kg)(334 kJ/kg) = 334 kJ using the equation for a change in temperature and the value for water from Table 1. Water is converted from a liquid to a gas by the process of evaporation, which requires a significant amount of energy. The amount of energy needed to cause the state change is known as the latent heat of vaporization. At 1 atmosphere of pressure, the latent heat of vaporization is 539 calories per gram of water.
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d. A brass measuring tape is correct at 20°C. The value obtained when the length of a field is measured with the rule at 50°C appears to be 70.5 m. What is the true length of the field? Linear expansivity of brass 1.8 x 10-5 K-1,
Answer:
The answer would be 52.8m
A heavy truck and a small truck roll down a hill. Neglecting friction, at the bottom of the hill the heavy truck has greater
acceleration.
speed.
momentum.
all of the above
none of the above
Correct option is A, A heavy truck and a small truck roll down a hill. Neglecting friction, at the bottom of the hill the heavy truck has greater acceleration.
Momentum and mass are directly proportional in direction. This is so because mass times velocity make up the equation for momentum. Another way to express this is as p = m*v, where p stands for momentum, m for mass, and v for velocity. As a result, momentum doubles if mass is increased by a factor of two but velocity remains constant.
p = m v . The equation demonstrates that momentum is directly related to an object's mass (m) and velocity (v). As a result, an object's momentum increases with increasing mass or velocity. The momentum of a large, swift object is larger than that of a small, slower object.
The definition of momentum is "mass in motion." Since every item has mass, if it is moving, it must have momentum because its mass is in motion. The amount of motion and the speed of the motion are the two factors that determine how much momentum an item possesses.
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An ideal gas expands through an adiabatic process. Which of the following statements is/are true?
a) The work done by the gas is negative, and heat must be added to the system.
b) The work done by the gas is positive, and no heat exchange occurs.
c) The internal energy of the system has increased.
d) The internal energy of the system has decreased.
The work done by the gas is positive, and no heat exchange occurs. The internal energy of the system has increased.
An adiabatic process is a process in which no heat is exchanged with the surroundings. Therefore, there is no heat added or removed from the system and the work done by the gas is positive. Since no energy is exchanged with the surroundings, the internal energy of the system will increase, since work must be done to expand the gas.The work done by the gas is positive, and no heat exchange occurs.The internal energy of the system has increased.
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an object moves 15 meters in 3 seconds. what is its velocity (in m/s)?
Important Formulas:
[tex]v=\dfrac{d}{t}[/tex]
velocity(measured in m/s) = distance(measured in meters) / time(measured in seconds)
__________________________________________________________
Given:
[tex]d=15m[/tex]
[tex]t=3s[/tex]
[tex]v=?[/tex]
__________________________________________________________
Finding velocity:
[tex]v=\dfrac{d}{t}[/tex]
[tex]v=\dfrac{15}{3}[/tex]
__________________________________________________________
[tex]\fbox{v = 5 m/s}[/tex]
The Humber Bridge in England has the world's longest single span, 1410 m. Calculate the change in length of the steel deck of the span when the temperature increases from -5.0 degree C to 18.0 degree C.
Assuming the steel deck has a coefficient of linear thermal expansion of 12 x 10-6 m/m/°C, the change in length of the steel deck of the span when the temperature increases from -5.0 degree C to 18.0 degree C is 2.16 m. (1410 m x 12 x 10-6 m/m/°C x 23°C = 2.16 m)
Steel is an alloy made of iron and other elements, and is one of the most widely used materials in the world. Steel structures such as bridges are subject to changes in size and shape due to changes in temperature. When steel is exposed to temperatures higher than 0°C, it expands, and when it is exposed to temperatures lower than 0°C, it contracts.
The coefficient of linear thermal expansion is the rate at which the length of an object changes with temperature. This coefficient can vary depending on the type of steel and other factors. For the Humber Bridge, the steel deck of the span has a coefficient of linear thermal expansion of 12 x 10-6 m/m/°C. Therefore, when the temperature increases from -5.0°C to 18.0°C, the steel deck of the span will expand by 2.16 m.
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As a train accelerates away from a station, it reaches a speed of 4.8 m/s in 5.2 s. If the train's acceleration remains constant, what is its speed after an additional 7.0
After another 7.0, its speed is 6.52 m/s. The time it takes a train to accelerate out of a station to 4.8 m/s is 5.2 seconds.
Which speed is it?the rate at which an object's location changes in any direction. Speed is defined as the relationship between a distance and the time it takes to travel that distance. Speed is a scalar quantity because it has no magnitude and only a direction.
The rate at which the velocity of a moving object varies is known as acceleration .To calculate the object's speed at a particular time, we must first calculate the acceleration by dividing the speed by the given time. Here's what we do:
acceleration = 4.8 m/s / 5.2 s = 0.92 m/s^2
To determine the velocity after 7.1 s, we multiply 7.1 s to the acceleration.
speed or velocity = 0.96 x 7.0 = 6.44 m/s
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A high diver wants to make sure that she does not move any faster than 32 m/s when she enters the water from a dive. If she leaves the diving board from rest, what is the maximum height the diving board can be above the water (in meters) so that she does not go any faster than 32 m/s
The maximum height the diving board can be above the water is 52.5m, so that she does not go any faster than 32 m/s when she enters the water.
How do you determine the maximum height ?To determine the maximum height the diving board can be above the water, we can use the equation of motion for a freely falling object:
v^2 = u^2 + 2as
where
v = final velocity (32 m/s)
u = initial velocity (0 m/s)
a = acceleration due to gravity (-9.8 m/s^2)
s = distance fallen (height of diving board above water)
We can rearrange the equation to find the distance fallen (s)
s = v^2/(-2a) - u^2/2a
substituting the values
s = 32^2/(-2*(-9.8)) = 32^2/19.6 = (1024/19.6) = 52.5 m
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