This statement is True, the angular diameter of an object is inversely proportional to its distance from the observer.
Angular diameter is a measure of the apparent size of an object in the sky as seen from a given location. It is the angular distance between two opposite points on the visible surface of the object, usually measured in degrees or arcminutes. Angular diameter can be used to describe the apparent size of both small and large objects, such as planets, stars, galaxies, and clusters.
For example, the angular diameter of the Sun as seen from Earth is approximately 0.5 degrees, while the angular diameter of the Moon is approximately 0.5 degrees. Angular diameter can also be used to measure the apparent size of large-scale structures in the Universe, such as the distance between two galaxies in a galaxy cluster. The angular diameter of a galaxy cluster is typically measured in arcminutes or arcseconds. Angular diameter is a useful measure of the size of an object since it is independent of the distance between the observer and the object.
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How is Pythagorean Theorem used in baseball?
Bill James came up with the Pythagorean Theorem of Baseball, which connects the amount of runs a club has scored and given up to its actual winning %.
Its uses are:The Pythagorean Theorem is the idea that a baseball team's record may be roughly estimated by taking the square of team runs scored and dividing it by the square of team runs scored plus the square of team runs allowed. Bill James, a baseball analyst, made this idea famous.
The Pythagorean Winning % approach uses the relationship between a team's victories and losses and the number of points scored and allowed to calculate the predicted winning percentage. To follow Pythagorean winning percentages for the seasons, consult the team statistics.
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What is the index of refraction of a refractive medium which slows the light to 1.88 x 10^8 m/s. What the index of the second medium
If the index of refraction of a refractive medium slows the light to 1.88 x 10^8 m/s. The index of the second medium is: 1.60.
How to find the index of the second medium?Using this formula to find the index of the second medium
n = c/v
Where:
n = refractive index of the medium
c = velocity of light in vacuum
v = velocity of light in the medium.2
Let plug in the formula
n = (3 x 10^8 m/s)/ 1.88 x 10^8 m/s
n = 300,000,000/188,000,000
n = 1.595
n = 1.60 (Approximately)
Therefore we can conclude that the refractive index of the medium is 1.60.
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A plane flying at the speed of 150. M/s is accelerated uniformly at a rate of 5. 00 m/s^2
a. What is the plane's speed at the end of 10. 0 seconds?
b. What distance has it traveled?
The plane's speed at the end of 10.0 seconds is 200 m/s and the distance it has travelled is 1750 meters.
The initial speed of the plane, u = 150 m/s
Acceleration of the plane, a = 5 m/s²
Time, t = 10 sec
We can find the plane's speed at the end of 10. 0 seconds by the formula
a = (v - u)/ t
⇒5 = (v - 150)/ 10
⇒50 = v - 150
⇒v = 150 + 50
⇒v = 200 m/s
Now, to find the distance it has travelled we will use the kinematic equation
v² = u² + 2as
⇒200² = 150 ² + 2 × 5 × s
⇒40000 = 22500 + 10s
⇒17500 = 10 s
⇒s = 1750 m
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a stone of mass 750 kg is thrown vertically upward with a velocity of 10m/s find the potential energy at the greatest height and kinetic energy on reaching the ground
Answer:
Potential Energy at the greatest point = 37.5 J
Explanation:
Given :
Mass is 750 g
In term of kg :
Mass is 0.75 kg .
Velocity ( v ) = 10 m / sec
We have formula for kinetic energy :
K.E. = 1 / 2 m v²
Putting values now :
K.E. = 1 / 2 × 0.75 × 10 × 10
K.E. = 1 / 2 × 75 J
K.E. = 37.5 J
Since K.E . = P.E.
Thus potential energy of stone is 37.5 J .
An error that occurs consistently in one direction, such as a scale that weighs everyone two pounds more than their true weight, is known as a:
A systematic error is one that constantly occurs in one direction, for as when a scale consistently overestimates everyone's weight by two pounds.
If an error changes in the same direction throughout time, it is said to be systematic. For instance, if something always or frequently caused the blood pressure to increase right before the measurements were to be taken, this could occur when taking blood pressure.One measurement may slightly differ from the next due to random error. It results from unanticipated changes that occur throughout an experiment. When a reading is taken consistently each time, systematic error always impacts measurements in exactly the same way or to exactly the same degree. It is foreseeable.To know more about error here
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What is the equation for torque used for lever arm and F for force?
The required equation for torque used for lever arm r and F for force is given as τ = |r| |F| sinθ.
A simple way to calculate the magnitude of the torque is to first determine the lever arm and then multiply by the times of applied force.
The lever arm is described as the perpendicular distance from axis of rotation to the line of action of force.
The equation used to calculate torque is , τ = r × F = |r| |F| sinθ
where,
r is the magnitude of lever arm
F is the magnitude of force vector
θ is the angle between lever arm and force vectors
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Now let's think about a balloon. We know the gas particles inside of the balloon are bumping against the sides. What keeps those gas particles from forcing the balloon to expand
The elasticity of the balloon's material keeps the 1particles from forcing it to expand. The material stretches as the gas particles bump against the sides, allowing the balloon to expand to a certain point before contracting again.
The elasticity of the balloon's material is an important factor in determining the balloon's shape and size. In general, the more elastic the material is, the more the balloon will be able to stretch and expand. When the material is not elastic enough, it will not be able to stretch and the balloon will remain in its original shape.
The elasticity of the material also affects the amount of air pressure within the balloon. A more elastic material will be able to hold more air pressure, while a less elastic material will not be able to hold as much pressure. This is why balloons with a higher pressure will usually be larger than balloons with a lower pressure.
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The seatback must be adjusted far enough for your __________ to rest on the top of the steering wheel when your arm is comfortably extended.
The seatback must be adjusted far enough for your wrist to rest on the top of the steering wheel when your arm is comfortably extended.
What is the motion of steering wheel?The majority of modern automobiles, compact trucks, and SUVs have a rack and pinion steering. This transforms the steering wheel's rotational action into the linear motion which rotates the wheels and directs your course. A steering pinion, a circular gear, is used in the system to lock teeth on a rod (the rack).
What kind of basic device is a steering wheel?The basic device at work in steering, doorknobs, turbines, and bicycle wheels is a wheel and axle. An inclined plane wound around a cylinder is known as a screw.
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A steel ball ball rolls across a level track a distance of 1.3 meters in a time of .45 seconds what is the velocity of the ball
Answer:
Velocity of ball = 2.90 meter per second (Approx.)
Explanation:
Given:
Distance travel by ball = 1.3 meters
Time taken by ball = 0.45 seconds
Find:
Velocity of ball
Computation:
Velocity = Total displacement / Total time taken
Velocity of ball = Distance travel by ball /Time taken by ball
Velocity of ball = 1.3 / 0.45
Velocity of ball = 2.889
Velocity of ball = 2.90 meter per second (Approx.)
ulius competes in the hammer throw event. The hammer has a mass of 7.26 kg and is 1.215 m long.What is the centripetal force on the hammer when it has a tangential speed of 31.95 m/s
The 6,100 N is the centripetal force on the hammer when it has a tangential speed of 31.95 m/s.
What is centripetal force ?Any force that induces a shift in velocity direction toward the center of a circular motion is referred to as a centripetal force. Centripetal force is caused by the part of the force that is perpendicular to the velocity.
Centripetal force is a force that operates on a body traveling in a circle and is pointed in the direction of the body's center of mass. It is computed using the formula:
F = mv^2/r
where m is the mass, v is the velocity and r is the radius.
F = 7.26(31.95)^2 / (1.215) = 6100 N
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2. Outer planets have these characteristics:
A. Long orbits, made up of gas, have many moons
B. Long orbits, made up of gas, have few moons
C. Short orbits, made up of gas, have many moons
D. Long orbits, have a rocky crust, have many moons
Answer:
A
Explanation:
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How many resistors must be connected in series to give an equivalent resistance to five resistors connected in parallel
The value of the resistor of five parallel-connected resistors is R/5 ohm. Hence, 5 resistors of resistance R/25 ohm connected in series to give an equivalent resistance to five resistors connected in parallel
What is a resistor?Modern resistors are often constructed from a carbon, metals, or metal-oxide layer. In these resistors, an insulating material is covered in a helix around a thin layer of conductive (but still resistant) material.
What a resistor does in a circuitA resistor is a component of an electronic device that regulates or limits the amount of electrical current that can flow through a circuit. Resistors can also supply a certain amount of power to an electronic appliance like a transistor. A light bulb illuminates when power is applied to the resistor tungsten. The end results of the energy are heat and light.
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At a _________ light, after checking to the rear, stop before entering the intersection or at the stop bar. If the stop cannot be made safely, proceed through the intersection with caution.
"At a yellow light, after checking to the rear, stop before entering the intersection or at the stop bar." If stopping safely is not possible, cautiously cross the junction.
Devices that are typically located at significant sites, such as busy junctions, are used to give out traffic signals in order to control the flow of traffic.
A yellow traffic light serves as a warning that the red signal will soon be shown. As a result, as soon as you notice a yellow light, you should begin to slow down in preparation for a red light. Additionally, if for some reason you are unable to stop, you should keep an eye out for any vehicles that may be approaching the intersection at the same moment.
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1) A sound wave produced by an alarm is heard 668m away 2.0s later. a) What is the speed of sound of the alarm in the air? b) The sound wave has a frequency of 436Hz. What is its period? c) What is its wavelength?
Answer:
jkjkjkjkjkjkjkjkjkjkjk
A pulse can be described as a single wave disturbance that moves through a medium. Consider a pulse that is defined at time t=0. 00s by the equation y(x)=6. 00m3x2+2. 00m2 centered around x=0. 00m. The pulse moves with a velocity of v=3. 00m/s in the positive x-direction. (a) What is the amplitude of the pulse? (b) What is the equation of the pulse as a function of position and time? (c) Where is the pulse centered at time t=5. 00s?
The amplitude of the pulse is 3 m, the equation of the pulse as a function of position and time is y(x) = 6/{(x - 3t)² + 2} m and the pulse is 15 m centred at time t = 5. 00s.
y(x) = 6/(x² + 2)
v = 3 m/s
The amplitude(A) of the pulse:
When x= 0, Then y = A
Put x= 0
y(x) = 6/(x² + 2)
y(0) = 6/(0² + 2)
y = A = 3 m
Distance travel in time t
x = vt
x = 3 t
y(x) = 6/{(x - 3t)² + 2}
The distance covered by the pulse in the time 5 s
D = v t
D = 3 x 5
D = 15 m
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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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The 6 kg block is then released and accelerates to the right, toward the 5 kg block. The surface is rough and the coefficient of friction between each block and the surface is 0.3 . The two blocks collide, stick together, and move to the right. Remember that the spring is not attached to the 6 kg block. Find the speed of the 6 kg block just before it collides with the 5 kg
Assuming a 6 kg block is coupled to a spring with a 350 N/m spring constant, and that there is 0.5 m between the two blocks.
Solution:Use the formula
U=1/2kx2
U=1/23500.52
U=43.75 J
Utilizing the law of conservation of energy, KE = U - f.d, where f is the frictional force acting on
1/2 mv2 = 43.75 - mgd
1/2 ×6×v²= 43.75-0.3×6×9.8×0.5\s
v= √11.643
The spring constant is k, what is it?The "spring constant," denoted by the letter "k," is a figure that effectively indicates how "stiff" a spring is. A significant value of k indicates that more power is needed to extend it a given distance than would be necessary to stretch a less stiff spring the same distance.
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Three point charges are arranged at the corners of a square of side L as shown in (Figure 1) What is the potential at the fourth corner (point A)? Express your answer in terms of the variables Q, L, and the Coulomb’s constant k.
The potential at the fourth point will be [tex]\frac{k^3Q}{\sqrt{L}}[/tex]
Let q1= -2Q and q2 = 6Q. ( k.)
What does charge number three's value, q3, equal?
To remedy the issue, the charges' orientation is also necessary.
You might try using the formula (kQ/r) to get the potential at the fourth corner.
Electric potential is a scalor, therefore adding the values from the three sites is as simple as adding them all together.
The effort required to transfer a unit charge against an electric field from a reference point to a specified spot. Earth is typically chosen as the reference point, however, any location beyond the range of the electric field charge can be utilized. potential electricity.
for instance, q1=-Q, L from the 4th point
q2=3Q and the fourth point's root is L.
The solution to q3= Q L from the fourth point is just [tex]-\frac{kQ}{L} + \frac{k^3Q}{\sqrt{L}} +\frac{kQ}{L} = \frac{k^3Q}{\sqrt{L}}[/tex] (at the fourth point)
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The missing diagram is attached below:
A mass on the end of a spring undergoes simple harmonic motion. At the instant when the mass is at its equilibrium position, what is its instantaneous velocity?
A.Instantaneous velocity cannot be determined without additional information
B.At equilibrium, its instantaneous velocity is less than its maximum but not zero.
C.At equilibrium, its instantaneous velocity is at maximum
D.At equilibrium, its instantaneous velocity is zero.
At the instant when a mass is at its equilibrium position when undergoing simple harmonic motion, its instantaneous velocity is its maximum.
Therefore the answer is C. At equilibrium, its instantaneous velocity is at maximum
The simple harmonic motion is periodic motion that oscillates around an equilibrium position. At the equilibrium position, the net force on the mass is zero. Therefore, the mass is not accelerating, so its instantaneous acceleration is zero.
The motion is periodic, meaning it repeats itself at regular intervals of time. In the case of a mass on the end of a spring, the spring exerts a force on the mass that acts to bring it back to its equilibrium position. When the mass is at the equilibrium position, the spring force is zero, and the mass is not accelerating. Therefore, the acceleration is maximum at it ends and decreases to zero at equilibrium position.
The instantaneous velocity is zero at the end as it changes direction of motion, though the acceleration is decreasing from end position to equilibrium, velocity is increasing. The instant after equilibrium position, the acceleration is in opposite direction decreasing the velocity till it is zero at the end position.
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Two spherical objects have masses of 1. 5 x 10^5 kg and 8. 5 x 10^2 kg.
Their centers are separated by a distance of 2500 m. Find the
gravitational attraction between them.
When two objects are separated by a distance then gravitational attraction between them is 1.36 × 10^-9 N.
Given,
m = 1.5 × 10^5 kg
M = 8.5 × 10^2 kg
r = 2500 m
F=GmM/r^2
Here G = 6.67 × 10^-11 N.m^2/kg^2 is the value of the gravitational constant
F = 1.36 × 10^-9 N
Every body in the universe attracts every other body with a gravitational force that decreases with distance as 1/r2. But actually he knew more about the gravitational force: from the fact that bodies of different masses near the earth’s surface accelerate downwards at the same rate, using F = ma (Second Law).
If two bodies of different masses have the same acceleration they must be feeling forces in the same ratio as their masses (so a body twice as massive feels twice the gravitational force), that is, the gravitational force of attraction a body feels must be proportional to its mass.
Newton’s first clue that gravitation between bodies fell as the inverse-square of the distance may have come from comparing a falling apple to the falling moon, but important support for his idea was provided by a detailed description of planetary orbits constructed half a century earlier by Johannes Kepler.
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What is the SI unit of momentum?
Answer:
kgm/s(-1)
Explanation:
the units of momentum will be the product of the units of mass and velocity. Mass is measured in kg and velocity in ms-1, therefore, the SI unit of momentum will be kgm/s(-1).
How do you calculate lever arm in torque?
We can find the torque of lever arm by the formula Torque(T)=Force * perpendicular distance.
A torque is an action that causes objects to rotate. A torque is required to rotate an object, just as a force is required to move an object in a line. Torque is created by force, but it also depends on where the force is applied and the point about which the object rotates.
Force and lever arm are not always perpendicular. When the force and lever arm are not perpendicular, trigonometry is required to calculate the length of the lever arm. The force applied is perpendicular to the surface of the object rotating. When this force is at an angle θ with the plane of the object, the perpendicular force requires the use of the sine function.
When an object is in rotational equilibrium, the net torque applied to it is zero. For example, if an object such as a see-saw is not rotating, you know the torque on each side is balanced Rotational equilibrium is often used to determine unknown forces. Any object that is not moving is in rotational equilibrium and in translational equilibrium.
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Caffeine dosage causes a change in the time to finish a maze and it isn't possible for that the time to finish a maze could cause a change in
caffeine dosage.
Caffeine dosage and time to finish a maze are independent variables, meaning that a change in one does not cause a change in the other. It is possible that caffeine dosage may have an effect on the time it takes to finish a maze, but the time it takes to finish a maze would not cause a change in caffeine dosage.
Caffeine Maze Time ImpactCaffeine is a stimulant that can affect the central nervous system and can have a range of effects on the body, including increased alertness, focus, and energy. When it comes to completing a maze, the time it takes to finish it could be affected by the person's level of alertness, focus, and energy. Therefore, if a person ingests a certain dosage of caffeine, it could affect the time it takes for them to finish the maze because of the effect caffeine has on the body.
On the other hand, the time it takes to finish a maze does not affect the caffeine dosage, in other words, caffeine dosage is an independent variable, it does not depend on other variables, and does not change based on the time it takes to complete a maze. It is determined by the amount of caffeine consumed.
So, in short, caffeine dosage can have an effect on the time it takes to finish a maze, but the time it takes to finish a maze does not have an effect on caffeine dosage.
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A car is traveling for 1638 km for a time period of 6.5 hours. What is the average speed of the car?
Answer:
252 km/hr
70 m/s
Explanation:
s = d/t
answer in km/hr:
s = 1638 km / 6.5 hr = 252 km/hr
if you need the answer in m/s:
s = ((1638 km)(1000 m/km)) / ( (6.5 hr)(60 min/hr)(60 s/min))
= 70 m/s
Echolocation only works well when the object is as long as or longer than one wavelength of the sound produced.
a) Estimate the size of the smallest object a bat can detect using echolocation when the air temperature is 22 °C
The size of smallest object that a detect wing is 22°C bat can echolocation when air temperature is 31 mm.
Bat need to use because as high frequencies for echolocation compared to lower frequencies, higher. frequencies gives them more regarding size of the object in speed and frequency the prey direction of its waver are not early detailed information their path, range, pray. Also high detected by the prey.
For care the Jame of bat, dolphin frequency as explained in alio high radiation. Thus despite poor visibility under water, dolphin can high frequency and avoid to catch its wave it Predator. we there to find its path and to catch its prey and also to avoid its peredetor.
Bat sounds are emitted only during wing upbeat to minimize physiological costs. Air pressure in calls is just below blood pressure in lungs physiological maximum. FM is best for determining target distance Measure time delay between pulse and echo return FM sweep labels each part of pulse with a frequency value.
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The table shows the values Jane obtained when she measured the thickness of a steel pipe. The known thickness of the pipe is 1.32 centimeters. Which statement about her results is true?
As the values are closed to each other, Jane's measurements are precise.
What is precision?The precision of a substance is defined as the degree to which two or more measurements agree with one another.
It is incredibly precise but not always accurate to measure something if you measured it five times and get around 1.50 cm each time. Accuracy is not necessary for precision. There are various categories of precision:
Persistence: The variation that results when the conditions are maintained constant and repeated measurements are done over a brief period of time.Reproducibility: When employing the same measurement method with various instruments and operators over longer time periods, variation occurs.Learn more about precision here:
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What is the new volume of the gas if the pressure on 350 L of oxygen
at 720 mm Hg is decreased to 600 mm Hg?
Answer:
420 L
Explanation:
Applying Boyle's Law,
PV = P'V'.................... Equation 1
Where P = Initial pressure, P' = Final pressure, V = Initial volume, V' = Final volume.
make V' the subject of the equation
V' = PV/P'.................... Equation 2
From the question,
Given: P = 720 mmHg, V = 350 L, P' = 600 mmHg
Substitute these values into equation 2
V' = (720×350)/600
V' = 252000/600
V' = 420 L
What type of protein secondary structure does the structure shown here (Fiqure 1) represent? O a-helix O a-sheet
O B- helix O B-sheet O y turn
The correct option is C. β-sheet type of protein secondary structure does the structure shown here (Figure 1) represent.
A shape is an arrangement and organization of interrelated elements in a fabric item or gadget, or the item or system so prepared. material systems encompass guy-made items consisting of homes and machines and natural items which include organic organisms, minerals, and chemical compounds. abstract structures consist of statistics structures in pc science and musical shape.
Sorts of the shape include a hierarchy (a cascade of one-to-many relationships), a network providing many-to-many links, or a lattice presenting connections among additives that can be pals in space.
Built structures are widely divided by using their various design approaches and requirements, into classes together with constructing systems, architectural structures, civil engineering structures, and mechanical structures.
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Complete Question:
What type of protein secondary structure does the structure is shown here (Figure 1) represent?
A). α-helix
B). α-sheet
C). β- helix
D). β-sheet
E). γ turn
o, the point at which we lose awareness of the intervals and begin to see apparent motion seems to kick in at around ________ frames per second. 16 - 20
The point at which we lose awareness of the intervals and begin to see apparent motion seems to kick in at around 8 - 12 frames per second.
What is frames per second?The frequency (rate) at which consecutive images (frames) are captured or displayed is known as frame rate and is expressed in frames per second (FPS). The phrase is equally applicable to motion capture devices, computer graphics, and film and video cameras.
Frame frequency, also known as frame rate, is measured in hertz. Frame rate in electronic camera specifications may refer to the highest possible rate, whereas in practise, other settings (like exposure time), may reduce the frequency to a lower number.
Individual differences exist in both the type and properties of the visual stimulus as well as the temporal sensitivity and resolution of human vision. The human visual system can process 10–12 images per second, each of which is perceived individually; higher rates are interpreted as motion.
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A 3000 kg truck traveling at 10 m/s rear ends a stationary 1000 kg car . What is their combined speed after the crash?