The relative size and relative height monocular depth cues are demonstrated in this example.
What is the name for the inability to recognize changes in the fine elements of a visual scene?
Change blindness is the inability of observers to detect changes in a visual scene, especially when the change is simultaneous with a brief interruption of the view (Rensink et al., 1997)
What is the name for the phenomenon of failing to detect objects that are not the focus of attention?
We assume that significant things in our world will instantly catch our attention, but this isn't always the case, especially when our attention is diverted by something else. Inattentional blindness is the term used to describe the failure to perceive unexpected objects or events while attention is diverted elsewhere.
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You push a 40 kg sled with a force of 50 N. If the friction force opposing the sled’s motion is 9 N, what is the acceleration of the sled? Show your work,
Answer:If the coefficient of kinetic friction (u) is 0.2, what ... The force of friction for a 7.5-kg object being pushed horizontally at a constant speed ... needed to start the box moving? ... An applied force of 21 N accelerates a 9.0-kg wagon at 2.0 m/s² along the ... 3N = p. 88.2 N. (u=0,034. 5. A sled of mass of 50.0 kg is pulled along a flat,
An airplane needs to reach a velocity of to take off. on a runway, what is the minimum acceleration necessary for the plane to take flight?
The acceleration necessary for the plane to take flight is: 0.7949 m / s 2
Initial velocity u = 0
Final velocity v = 203 km / h
= 203 x 1000 m / 3600 s
= 56.388 m / s
Distance S = 2000 m
From the relation v 2 - u 2 = 2aS
Accleration a = [ v 2 - u 2 ] / 2S
= 0.7949 m / s 2
What is Accleration?
Compared to displacement and velocity, acceleration is like a raging fire-breathing dragon of motion variables. it can be violent. Some people fear it. And when it's big, you have to be careful. Taking off an airplane, braking a car, cornering a go-kart at high speed are all sensations of acceleration.
Acceleration is the name we give to any process that changes velocity. Velocity is speed and direction, so there are only two ways to accelerate. Either change speed, change direction, or change both.
Therefore, the acceleration is: 0.7949 m / s 2
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5) Find the Electric field strength at point A. Indicate direction with an arrow
Answer:
\(||\vec E_A||=1.11446 \times 10^6 \ \frac{N}{C}\), where the vector arrow will point from the charge towards point A.
Conceptual:
What is an electric field?
An electric field is a physical field produced by charged particles, these electric fields have the ability to exert forces on other charged particles. The following formula can be used to find the electric field (as a vector) at a point in space. "k_e" is Coulomb's constant and "\(\hat r\)" indicates the direction vector that point from the charge towards the field you are trying to calculate.
\(\boxed{\left\begin{array}{ccc} \text{\underline{Equation for Electric Field:}} \\\\\ \vec E=\frac{k_eq}{r^2} \hat r \\k_e=8.99 \times 10^9\frac{Nm^2}{C^2} \end{array}\right }\)
Explanation:
Given:
\(q=6 \times 10 ^{-6} \ C\\\\r=0.22 \ m\)
Find:
\(\vec E_A=?? \ \frac{N}{C}\)
\(\vec E_A=\frac{k_eq}{r^2} \hat r\\\\\Longrightarrow \vec E_A=\frac{(8.99 \times 10 ^9)(6 \times 10 ^{-6})}{(0.22)^2} \cdot\frac{ < 0,-0.22 > }{\sqrt{(0)^2+(-0.22)^2} } \\\\\Longrightarrow \vec E_A= 1.11446 \times 10^6 \cdot < 0,-1 > \\\\\Longrightarrow \vec E_A= < 0,-1.11446 \times 10^6 > \frac{N}{C} \\\\\Longrightarrow||\vec E_A||=\sqrt{(0)^2+(-1.11446 \times 10^6\))^2} \\\\\therefore \boxed{\boxed{||\vec E_A||=1.11446 \times 10^6 \ \frac{N}{C}}}\)
Thus, the electric field strength at point A is found. The vector arrow will point from the charge, q, towards point A.
PLEASE HELP WITH THE 6 FOLLOWING SCIENCE QUESTIONS (the topic is circuit symbols and equations):
1. How much charge flows through a speaker if it is on for 20 minutes and has a current of 10A?
2. 500 coulombs of charge flow through a bulb for 25 seconds. Calculate the current trough the bulb.
3. 12A of current and 984C of charge flow through a kettle. How long was the kettle switched on for?
4. A laptop is switched on for 5 hours. It has a current flowing through it of 12A. What is the total amount of charge that flowed through the laptop?
5. An ipad is left in standby mode for 3 hours. During this time, 2.16C of charge flowed through the ipad. How much current flowed through the ipad?
6. A small LED light as 200mA of current flowing through it and a charge flow of 150C. How many minutes and seconds was the light switched on for?
genuine answers please, don't waste answer slots if you don't actually have an answer, it's rather irritating x
1) I=Q/T then Q= I ×T 10* ( 20*60) = 10 (120) therefore the answer is 1200C
2) I= Q/T that is 500/ 25 and the answer is 20A
a small aircraft has a wing area of 35 m2, a lift coefficient of 0.45 at takeoff settings, and a total mass of 4000 kg. determine (a) the takeoff speed of this aircraft at sea level at standard atmospheric conditions, (b) the wing loading, and (c) the required power to maintain a constant cruising speed of 300 km/h for a cruising drag coefficient of 0.035.
The takeoff speed of the aircraft is approximately 41.6 m/s.
The wing loading of the aircraft is approximately 1128.6 N/m².
The required power to maintain a constant cruising speed of 300 km/h is approximately 173791.5 W.
How to calculate the value1. Lift = Weight
1/2 * density * velocity² * wing area * lift coefficient = mass * gravity
1/2 * 1.225 * velocity² * 35 * 0.45 = 4000 * 9.81
Simplifying and solving for velocity, we get:
velocity = ✓((4000 * 9.81 * 2) / (1.225 * 35 * 0.45)) = 41.6 m/s
(b) Wing loading = Weight / wing area
Wing loading = 4000 * 9.81 / 35 = 1128.6 N/m²
Therefore, the wing loading of the aircraft is approximately 1128.6 N/m²
(c) Drag = 1/2 * density * velocity² × wing area * drag coefficient
Substituting the given values, we get:
Drag = 1/2 * 1.225 * (300/3.6)² * 35 * 0.035 = 2085.5 N
Power = force * velocity
Power = 2085.5 * 83.33 = 173791.5 W
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A ship has a constant velocity of 8.33 m/sec. How far does it travel in done day?
Distanced travelled by a ship with a constant velocity in a day is 719712m
VELOCITY is defined as rate of change of displacement in a given interval of time.
it is a vector quantity.
its unit is m/s
to calculate the distance of a ship travelled
distance = speed x time
d = s x t ----1.
velocity of ship = 8.33m/s
time taken = 1 day =86400 sec
now using the above values in equation 1 we get
d =8.33m/s x 86400 sec
d = 719712m
thus a ship travels 719712m in a day.
Distanced travelled by a ship with a constant velocity in a day is 719712m
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Which element has the fewest valence electrons?
O A. Nitrogen (N)
O B. Silicon (Si)
O C. Chlorine (CI)
O D. Beryllium (Be)
Answer:
A.Nitrogen
Explanation:
Because it is belong to non-metal group.
I don't knowwwww
Answer:
D.Beryllium (Be)
Explanation:
Trust
a car travels for two hours at an average speed of 36 km/h how far will the car travel
Answer:
259200
Explanation:
use the formula distance= speed x time
change the 2 hours to seconds (7200) and multiply that number by 36 and it'll give you 259200
Answer:
12 kilometers and hour
Explanation:
A crowbar with length 200m is used to lift a load of 600N if the distance between fulcrum and load is 0. 75 m calculate effort ma vr efficiency effort distance
Effort is 600N, load distance is 0.75m, effort distance is 199.25m, effort MA is 0.00377, VR is 265.67 and the efficiency is 0.22%.
Effort is the force that is applied on the crowbar to move the load. Load is the object that needs to be moved. Fulcrum is the pivot point or the fixed point around which the crowbar rotates. The distance between the fulcrum and the load is known as load distance. The distance between the fulcrum and the effort is called effort distance.
Effort = 600N
Load distance = 0.75m
Effort distance = 200 - 0.75 = 199.25m
Effort MA (Mechanical Advantage) = Load distance / Effort distance
Effort MA = 0.75 / 199.25 = 0.00377VR (Velocity Ratio) = Effort distance / Load distance
VR = 199.25 / 0.75 = 265.67
Efficiency = (Load * Load distance) / (Effort * Effort distance)
Efficiency = (600 * 0.75) / (Effort * 199.25) = 0.00224 * 100% = 0.22%
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What type of muscular assessment is the bench press
upper body muscular strength
Answer:
Explanation:
muscular strength test
An object is in simple harmonic motion. of the following quantities related to the object, which set of three can have maximum magnitudes at the same instant of time?.
The amplitude, restoring force and speed of an object undergoing simple harmonic motion may have maximum magnitudes at the same instant of time.
What is simple harmonic motion?Simple harmonic motion is a regular repeating motion. The acceleration of a simple harmonic motion is always directed towards the center of the motion.
There are three quantities related to the object that can have maximum values at the same time and these are;
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Ocean swells are an example of waves. In the Waves Gizmo, you will observe wave motion on a model of a spring. The hand can move the spring up and down or back and forth.
To begin, check that the Type of wave is Transverse, Amplitude is 20. 0 cm, Frequency is 0. 75 Hz, Tension is 3. 0 N, and Density is 1. 0 kg/m. (Note: In this Gizmo, "density" refers to the linear mass density, or mass per unit length. It is measured in units of kilograms per meter. )
1. Click Play (). How would you describe the motion of a transverse wave? Click Pause (). Notice the crests (high points) and troughs (low points) of the wave.
2. Click Reset (). Choose the Longitudinal wave and increase the Amplitude to 20. 0 cm. Click Play. How would you describe the motion of a longitudinal wave? Click Pause. Notice the compressions in the wave where the coils of the spring model are close together and the rarefactions where the coils are spread apart
When we Click Play() the motion of a transverse wave is from left to right and when we Click Reset() the motion of a wave and hand both is left to right.
Wave motion is the regular and orderly movement of disturbances, or departures from equilibrium or rest, from one location to another. The most well-known waves are surface waves on water, but waves can also be seen in sound waves, light waves, and subatomic particle movements.
When we Click Play() the motion of a transverse wave will be from left to right but the movement of particles will be up and down and in conclusion the wave moves left and right and the hands move up and down.
Now, when we Click Reset() and choose the Longitudinal wave and increase the Amplitude to 20. 0 cm. and then Click Play the motion of the longitudinal wave and the hand both is left to right.
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Calcalculate potential energy given to a potato sack having a mass of 2 kg as I raise it to a height of 450 CM
Answer:
8.829 Joules
Explanation:
The potential energy of an object, is the energy it posses (the energy stored within the object) by virtue of its relative elevation or height, position, state, or arrangement
The potential energy of an object raised to a given height, P.E. = m·g·h
Where;
m = The mass of the object
g = The acceleration due to gravity, a constant ≈ 9.81 m/s²
h = The present height of the object
For the potato sack having a mass, m = 2 kg, and raised to a height, h = 450 cm = 0.45 m, we have;
The potential energy given to the potato sack, by raising its height, P.E. is given as follows;
P.E. = 2 kg × 9.81 m/s² × 0.45 m = 8.829 Joules
The potential energy given to the potato sack, P.E. = 8.829 Joules
what is the wavelength of this wave?
4cm
7cm
8cm
14 cm
what is the amplitude of this wave?
4cm
7cm
8cm
14cm
The wavelength of the given transverse wave is 8 cm and the amplitude is approximately 14 cm.
What is wavelength ?Wavelength of a transverse wave is the distance between two consecutive crests or troughs of the wave. Wavelength of a wave is inversely proportional to the frequency and energy of the wave.
The amplitude of a transverse wave is the distance from the base line to the top of the crest or to the bottom of the trough.It is directly proportional to the frequency of the wave.
For the given wave, the wavelength is 8 cm and the amplitude that is , the distance to the base line to the top of the peak is 14 cm.
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hey what is magnetic field
Answer:
a region around a magnetic material or a moving electric charge within which the force of magnetism acts.
Explanation:
The definition of a magnetic field is a place in space near a magnet or an electric current where a physical field is created from a moving electric charge that creates a force on another moving electric charge. An example of a magnetic field is the Earth's magnetic field.
Yelling
Question 3
Exposure to abnormal or prolonged amounts of heat and humidity without adequate fluid
intake can cause various types of heat related illnesses.
True
1 pts
False
True. Various heat-related disorders can be brought on by inadequate hydration combined with exposure to extreme heat and humidity.
What are the effects of prolonged exposure to high heat and humidity?One of three disorders brought on by excessive heat, with heat cramps being the least dangerous and heatstroke being the most serious, is heat exhaustion. High temperatures, particularly when there is also a high humidity level, and intensive physical activity are the main causes of heat illness.
Which four types of heat disease are there?According to T8 CCR Section 3395, "Heat Illness" refers to a dangerous medical illness caused by the body's incapacity to handle a specific amount of heat. Examples of this ailment include heat cramps, heat exhaustion, heat syncope, and heat stroke.
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A hydrogen atom is in its ground state (nᵢ = 1) when a photon impinges upon it. The atom absorbs the photon, which has precisely the energy required to raise the atom to the nf = 3 state. (a) What was the photon's energy (in eV)? _________eV (b) Later, the atom returns to the ground state, emitting one or more photons in the process. Which of the following energies describes photons that might be emitted thus? (Select all that apply.) O 1.89 ev O 12.1 eV O 10.2 ev O 13.6 ev
A hydrogen atom is in its ground state (nᵢ = 1) when a photon impinges upon it. The atom absorbs the photon, which has precisely the energy required to raise the atom to the nf = 3 state. (a) The photon's energy that was absorbed is approximately 1.51 eV (negative sign indicates absorption).(b)option B and C are correct.
To determine the photon's energy and the energies of photons that might be emitted when the hydrogen atom returns to the ground state, we can use the energy level formula for hydrogen atoms:
E = -13.6 eV / n^2
where E is the energy of the electron in the atom, and n is the principal quantum number.
(a) To find the energy of the photon that was absorbed by the hydrogen atom to raise it from the ground state (nᵢ = 1) to the nf = 3 state, we need to calculate the energy difference between the two states:
ΔE = Ef - Ei = (-13.6 eV / 3^2) - (-13.6 eV / 1^2)
Calculating the value of ΔE:
ΔE = -13.6 eV / 9 + 13.6 eV
= -1.51 eV
Therefore, the photon's energy that was absorbed is approximately 1.51 eV (negative sign indicates absorption).
(b) When the hydrogen atom returns to the ground state, it can emit photons with energies corresponding to the energy differences between the excited states and the ground state. We need to calculate these energy differences and check which values are present among the given options.
ΔE1 = (-13.6 eV / 1^2) - (-13.6 eV / 3^2) = 10.20 eV
ΔE2 = (-13.6 eV / 1^2) - (-13.6 eV / 4^2) = 10.20 eV
ΔE3 = (-13.6 eV / 1^2) - (-13.6 eV / 5^2) = 12.10 eV
ΔE4 = (-13.6 eV / 1^2) - (-13.6 eV / 6^2) = 12.10 eV
ΔE5 = (-13.6 eV / 1^2) - (-13.6 eV / 7^2) = 13.55 eV
ΔE6 = (-13.6 eV / 1^2) - (-13.6 eV / 8^2) = 13.55 eV
ΔE7 = (-13.6 eV / 1^2) - (-13.6 eV / 9^2) = 13.55 eV
Comparing the calculated energy differences with the given options:
(A) 1.89 eV: This energy difference does not match any of the calculated values.
(B) 12.1 eV: This energy difference matches ΔE3 and ΔE4.
(C) 10.2 eV: This energy difference matches ΔE1 and ΔE2.
(D) 13.6 eV: This energy difference does not match any of the calculated values.
Therefore option B and C are correct.
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You are approaching a railroad crossing with no warning devices and are unable to see 400 feet down the tracks in one direction. the speed limit is:______
Answer: The speed limit is 15 mph when you come within 100 feet of a railroad crossing and you cannot see the tracks for 400 feet in both directions. You may go faster than 15 mph if the crossing is controlled by gates, a warning signal, or a flagman.
Explanation: hope this helps
Answer:69
Explanatioits funnyn:
A driver ignores the stop sign and continues driving west at constant speed.
A driver ignores the stop sign and continues driving west at constant speed ,is true.
Which graph depicts an item moving faster?A speed-time graph demonstrates how a moving object's speed varies over time. The acceleration increases as the graph becomes more pronounced. A horizontal line denotes a constant speed of motion for the item. The item is slowing down if the line slopes downhill.An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an item is."The object's acceleration is shown by the slope of a velocity graph.A driver ignores the stop sign and continues driving west at constant speed ,is true.The complete question is A driver ignores the stop sign and continues driving west at constant speed.t/false
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A cannonball is launched straight upwards with a velocity of vi. If the cannonball reaches a height of 1.25 km, what was the launch speed?
Answer:
Explanation:
2aS=vf^2-vi^2
vf^2=2as+vi^2
vf^2=2*9.8*1.25*10^3+vi^2
vf^2=24500vi2
√vf2=√24500vi2
vf=156.5vi
A moving police car plays a sound with constant frequency fo. The police
car moves from the stationary observer on the left, L, towards the
stationary observer on the right, R.
How does the frequency, fL, observed by the observer on the left
compare to the frequency, fR, observed on the right?
Choose 1 answer:
A. fL > fR
B. fL < fR
C. fL = fR
The frequency observed by the observer on the left (fL) is higher than the frequency observed by the observer on the right (fR). Here option A is the correct answer.
The observed frequency, fL, of the sound heard by the observer on the left is higher than the observed frequency, fR, heard by the observer on the right. This phenomenon is known as the Doppler effect.
When a source of sound is moving towards an observer, the sound waves are compressed, resulting in a higher frequency. Conversely, when the source of sound is moving away from an observer, the sound waves are stretched, leading to a lower frequency.
In this case, as the police car is moving towards the observer on the left, the sound waves are compressed, causing an increase in frequency. Therefore, the observer on the left hears a higher frequency, fL. On the other hand, the observer on the right experiences the sound waves stretching due to the car moving away, resulting in a lower frequency, fR. Thus, the correct answer is A. fL > fR.
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mple lever. A lift is used to carry boxes to the top floor of a hotel 20 m high. A total weight of 100 kg of boxes was carried up in 20 seconds. If the useful output of the engine driving the lift mechanism is 1.2 kilowatt, calculate the efficiency of the engine of the lift mechanism. (a) (i) What is meant by a
The efficiency of the system of the levers is 122%.
What is the efficiency?We have to note that the efficiency is the ratio of the work out put to the work out put multiplied by 100. In this case, we are told that a lift is used to carry boxes to the top floor of a hotel 20 m high. A total weight of 100 kg of boxes was carried up in 20 seconds. and that the useful output of the engine driving the lift mechanism is 1.2 kilowatt.
Work input = 100 Kg * 9.8 m/s^2* 20 m = 19600 J
Work output = 1.2 kilowatt * 10^3 * 20 = 24000 J
Then we have;
Efficiency = Work out put/ Work input * 100
= 24000/19600 * 100
= 122%
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what are the metals used to make fuse wire and why?
Answer:
The fuse wire is made up of Sn (tin) and Pb (lead) alloy because of its high resistance and low melting point.
∙ The tin and lead alloy is a eutectic composition (low melting point composition) consisting of 62% tin plus 38% lead.
∙ Melting point of this alloy is 183 ^C
Explanation:
A ball was positioned in the middle of a smooth ramp and allowed to roll
downward. how does the total mechanical energy of the system change as
the ball rolls down the ramp? assume that there is no friction.
The total mechanical energy of the system change into its motion as the ball rolls down the ramp.
What happens to the energy as a ball rolls down a ramp?As the ball rolls down on the ramp, the potential energy is converted to kinetic energy. If there is no friction, all of the energy is converted into kinetic energy which leads to increase in the motion of the ball.
So we can conclude that the total mechanical energy of the system change into its motion as the ball rolls down the ramp.
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The andromeda galaxy, m31, is in many ways similar to our own galaxy but slightly larger. the linear diameter of the andromeda galaxy along its longest axis is 140,000 light-years, but from our perspective, the andromeda galaxy has a maximum angular diameter of 3.18°. how far away is the andromeda galaxy?
The Andromeda Galaxy distance is approximately 2.52 million light-years away from us.
The Andromeda Galaxy (M31) is indeed similar to our own Milky Way galaxy, but slightly larger with a linear diameter of 140,000 light-years along its longest axis. To determine its distance from us, we can use the angular diameter, which is 3.18°.
We can use the small-angle formula to find the distance. This formula relates the angular diameter (in radians), the actual diameter, and the distance between the observer and the object:
angular diameter (radians) ≈ actual diameter / distance
First, we need to convert the angular diameter from degrees to radians:
3.18° * (π radians / 180°) ≈ 0.0555 radians
Now, plug in the values into the small-angle formula:
0.0555 radians ≈ 140,000 light-years / distance
To solve for the distance, divide both sides of the equation by 0.0555 radians:
distance ≈ 140,000 light-years / 0.0555 radians
distance ≈ 2,522,522 light-years
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what is the distance in mm between these minima if the diffraction pattern falls on a screen 1.2 m from the slit?
The distance in mm between these minima is 0.29 ×\(10^{-3}\) m
For first minima, m=1, Then,
\(a\sin \theta_1 = \lambda_1 \Rightarrow \sin\theta_1 = \frac{\lambda_1}{a} \Rightarrow \theta_1 = \sin^{-1}\left(\frac{589.1\times10^{-9}}{2.4\times 10^{-6}}\right) = 14.2^{\circ}\)
\(a\sin \theta_2 = \lambda_2 \Rightarrow \sin\theta_2 = \frac{\lambda_2}{a} \Rightarrow \theta_2 = \sin^{-1}\left(\frac{589.6\times10^{-9}}{2.4\times 10^{-6}}\right) = 14.22^{\circ}\)
Hence the required angle is , (14.22 - 14.2) = 0.02o
The distance between these two minima,
\(\Delta y = y_2 -y_1 = \frac{D}{a}\left( \lambda_2-\lambda_1\right) = \frac{1.4}{2.4\times 10^{-6}}\left(0.5\times 10^{-9} \right ) = 0.29\times 10^{-3} \hspace{2mm} m\)
This distance is best measured using a microscope.
The length of a particular path taken by an object between two points is its distance, such as the distance traveled through a maze. In some cases, such as when a ball is thrown straight up or the Earth completes an orbit, this can even be a closed distance along a closed curve that begins and ends at the same location. The mathematical term for this is the curve's arc length. It is also possible to signify the distance traveled: a "ahead" distance is positive and a "backward" distance is negative.
When building vehicles or mechanical gears, it can be helpful to take circular distance—the distance covered by a
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In a double-slit experiment, which one of the following phenomena would be observed if the wavelength of light were increased? The bright fringes would become thinner The fringes would be brighter The distance between dark fringes would decrease The angular separation between bright fringes would increase More bright fringes would appear on the screen
The other options listed (thinner bright fringes, brighter fringes, decreased distance between dark fringes, and more bright fringes) are not affected by changes in wavelength in a double-slit experiment.
If the wavelength of light were increased in a double-slit experiment, the angular separation between bright fringes would increase. This is because the distance between the slits and the screen remains the same, but the larger wavelength of light causes the interference pattern to spread out more, resulting in a wider angle between the bright fringes. The other options listed (thinner bright fringes, brighter fringes, decreased distance between dark fringes, and more bright fringes) are not affected by changes in wavelength in a double-slit experiment.
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A bow is drawn so that it has 40 J of potential energy. When fired, the arrow will have a kinetic energy of: Select one: O a. 80) o b. 20) O 0.60) O d. 40)
When a bow is drawn and has 40 J of potential energy, the arrow's kinetic energy when fired will be:
Your answer: d. 40 J
Explanation:
Potential energy is the energy that an object possesses due to its position, configuration, or state of being. It is stored energy that has the potential to do work in the future. The amount of potential energy that an object has depends on its position or configuration relative to other objects or systems. For example, a bow that is pulled back has potential energy that can be released as kinetic energy when it is released.
Kinetic energy, on the other hand, is the energy that an object possesses due to its motion. It is the energy that an object possesses because it is in motion and is able to do work by causing a change in another object's motion or position. The amount of kinetic energy that an object has depends on its mass and its velocity. For example, a moving car has kinetic energy that can be transferred to another object if it collides with it.
When the bow is drawn, it stores potential energy. When fired, this potential energy is converted into kinetic energy for the arrow. In an ideal situation with no energy loss, the arrow's kinetic energy will be equal to the bow's potential energy. Therefore, the arrow will have a kinetic energy of 40 J.
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A golf ball rolls off a horizontal cliff with an initial speed of 10.2 m/s. The ball falls a vertical distance of 12.3 m into a lake below. How much time does the ball spend in the air? (b) What is the speed v of the ball just before it strikes the water? (a) Number Units (b) Number Units
The golf ball spends approximately 1.46 seconds in the air before hitting the water. Just before striking the water, its speed is approximately 18.84 m/s.
We can solve this problem by analyzing the motion of the golf ball in the vertical and horizontal directions separately. In the vertical direction, the ball falls a distance of 12.3 m due to gravity. We can use the equation of motion for vertical motion, which is given by:
\(h = (1/2)gt^2\)
where h is the vertical distance, g is the acceleration due to gravity (approximately 9.8 \(m/s^2\)), and t is the time. Rearranging the equation, we can solve for t:
\(t = \sqrt(2h / g) = \sqrt(2 * 12.3 / 9.8)\) ≈ 1.46 s
Therefore, the ball spends approximately 1.46 seconds in the air.
In the horizontal direction, the ball rolls off the cliff with an initial speed of 10.2 m/s. Since there are no horizontal forces acting on the ball, its horizontal speed remains constant throughout the motion. Therefore, the horizontal speed just before the ball strikes the water is also 10.2 m/s.
Combining the vertical and horizontal components of motion, we can find the resultant velocity just before the ball hits the water using the Pythagorean theorem:
\(v = \sqrt(v_{horizontal}^2 + v_{vertical}^2) = \sqrt(10.2^2 + 0)\) ≈ 10.2 m/s
Therefore, the speed of the ball just before it strikes the water is approximately 18.84 m/s.
Learn more about Pythagorean theorem here:
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ya'll please help!! The voltage of the battery is 8 volts. If the current must double but the light bulb is remaining the same, the battery must be replaced by one with ____ volts