Answer:
Sean is standing still, and Rhea is running toward Sean while kicking the ball.
Note: The question is in complete. The complete question is given below:
Rhea kicks a soccer ball at 13 km/h to Sean. After kicking the ball, the speed of the soccer ball from Rhea's reference frame is 13 km/h. The speed of the soccer ball from Sean's reference frame is 22 km/h. Which conclusion is best supported by the information?
Sean is standing still, and Rhea is running toward Sean while kicking the ball.
Rhea is standing still after kicking the ball, and Sean is running away from Rhea.
Both soccer players are standing still after the ball is kicked.
Both soccer players are running while the ball is in motion.
Explanation:
A reference frame is a position from which something is observed.
Since from the reference frame of Rhea, the ball is moving at a speed of 13 km/h after he kicks the ball at a speed of 13km/h whereas from the frame of reference of Sean, the ball is moving at a speed of 22km/h, there is a difference in the speed of the ball as seen from Rhea's and Sean's frame of reference of about 9 km/h. This difference can only be due to relative motion between the ball and Rhea.
Therefore, the best conclusion supported by the given information is that Sean is standing still, and Rhea is running toward Sean while kicking the ball.
Answer:
Sean is standing still, and Rhea is running toward Sean while kicking the ball.
Note: The question is in complete. The complete question is given below:
Rhea kicks a soccer ball at 13 km/h to Sean. After kicking the ball, the speed of the soccer ball from Rhea's reference frame is 13 km/h. The speed of the soccer ball from Sean's reference frame is 22 km/h. Which conclusion is best supported by the information?
Sean is standing still, and Rhea is running toward Sean while kicking the ball.
Rhea is standing still after kicking the ball, and Sean is running away from Rhea.
Both soccer players are standing still after the ball is kicked.
Both soccer players are running while the ball is in motion.
Explanation:
A reference frame is a position from which something is observed.
Since from the reference frame of Rhea, the ball is moving at a speed of 13 km/h after he kicks the ball at a speed of 13km/h whereas from the frame of reference of Sean, the ball is moving at a speed of 22km/h, there is a difference in the speed of the ball as seen from Rhea's and Sean's frame of reference of about 9 km/h. This difference can only be due to relative motion between the ball and Rhea.
Therefore, the best conclusion supported by the given information is that Sean is standing still, and Rhea is running toward Sean while kicking the ball.
What is the difference between chronic and acute stress?
Acute stress is long-term, while chronic stress is short in duration.
Acute stress is short-term, while chronic stress endures over time.
Chronic stress varies by geographic location, while acute stress is universal.
Chronic stress is not harmful, while acute stress has negative consequences.
Answer:
The correct difference between chronic and acute stress is:
Acute stress is short-term, while chronic stress endures over time.
Explanation:
Acute stress refers to the immediate and temporary response of the body to a specific stressful event or situation. It is often characterized by a rapid increase in heart rate, heightened alertness, and the release of stress hormones like adrenaline. Acute stress is a normal and natural response to perceived threats or challenges, and once the stressor is removed or resolved, the body returns to its normal state.
On the other hand, chronic stress is long-term and persists over an extended period. It is typically caused by ongoing or recurring stressors, such as work pressures, financial difficulties, relationship problems, or chronic health conditions. Chronic stress can have a cumulative and prolonged impact on physical and mental well-being. It may lead to a range of health issues, including cardiovascular problems, weakened immune system, digestive disorders, anxiety, depression, and burnout.
Chronic stress is considered detrimental to overall health, while acute stress, when experienced in moderation, can actually be beneficial as it can enhance performance and help individuals deal with immediate challenges. It is important to manage chronic stress effectively through stress-reducing techniques, self-care practices, and seeking support when needed to prevent its negative consequences on health and well-being.
With reference to the coordinate system used in the previous part, which component, if any, of the electric field due to the total charge is zero at P?
the y component
the x component
neither the x nor the y component
both the x and y component
The answer is the y component.
In the coordinate system used in the previous part, the electric field due to the total charge at P is zero in the y direction. This is because the electric field due to the positive charge and the electric field due to the negative charge cancel each other out in the y direction.
In the x direction, however, the electric fields due to the positive and negative charges do not cancel out, and there is a non-zero electric field in the x direction at P.
Therefore, the answer is the y component, as this is the component of the electric field due to the total charge that is zero at P.
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A sine bar is used to determine the angle of a part feature. The length of the sine
bar=8.000in. The rolls have a diameter of 1.000 in. All inspection is performed on a surface plate. In
order for the sine bar to match the angle of the part, the following gage blocks must be stacked: 2.0000,
0.5000, 0.2500, and 0.0050. Determine the angle of the part feature.
A sine bar is used to get the angular measurement of a part feature. The angle of the part feature is 18.24°
From the question
Given that,
Length of the sine bar, L = 8.000 in
Diameter of the rolls = 1.000 in
Height under the roll, H = 2.0000 + 0.5000 + 0.0050
= 2.505 in
From sine bar formula,
we know that,
H = sin A x L
sin A = H ÷ L
where,
A ⇒ angle of part feature
H ⇒ height under the roll
L ⇒ length of the sine bar
Substituting values in the above equation,
sin A = H / L
A = sin⁻¹ ( 2.505 ÷ 8 )
A = sin⁻¹ (0.3131)
A = 18.24⁰
Hence the angle of the part feature = 18.24°
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In ancient wars, heavy rocks are thrown horizontally from the wall as weapons. f the initial speed of a rock is 3 m/s , how many meters will it travel horizontally from a wall 25 meters abov the ground after 2 seconds(neglect air resistance, g=9.8m/s2)
Answer:
The horizontal distance traveled by the rock from the wall after 2 seconds is 6m.
Explanation:
Given;
initial speed of the rock, u = 3 m/s
height of the wall, h = 25 m
time of travel, t = 2 seconds
The horizontal distance is determined as follows;
X = ut + ¹/₂gt²
where;
g is acceleration due to gravity, horizontal distance is not affected by gravity, g = 0
X = ut
X = 3 x 2
X = 6 m
Therefore, the horizontal distance traveled by the rock from the wall after 2 seconds is 6m.
Which correctly describes latent heat?
A. The heat of molecules that are under pressure
B. The heat held inside of ice crystals colder than -2°C
C. The heat absorbed or lost by a substance while it's changing state
D. The heat used to change the temperature of a liquid
Option C. The heat absorbed or lost by a substance while it's changing state correctly describes latent heat
Latent heat is the heat absorbed or lost by a substance while it is changing state.
The latent heat is a type of heat that is transferred during phase change, i.e., while a substance undergoes a change of state.
For example, when ice melts into liquid water, or when liquid water evaporates into water vapor, heat is absorbed from the surroundings.
Latent heat is not associated with a temperature change; rather, it's associated with a change of state.
For instance, the temperature of water remains at 100°C while boiling.
When water is boiling, the latent heat of vaporization is absorbed and utilized to break the hydrogen bonds holding water molecules together to change water from the liquid phase to the gaseous phase.
When the water is boiling, adding more heat won't increase the water's temperature, instead, the extra heat will be absorbed to change the phase of water molecules.
Therefore, the correct answer to the given question is option C: The heat absorbed or lost by a substance while it is changing state.
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in the process of identifying the alcohol contained in the wine, why does color changed into light blue from brown, to dark green, to light green and finally to light blue?
Answer:
The color of the Anthocyanins changes depending on the PH of what they come into contact with, because wine already has acid in its Anthocyanins are red. But as soon as you expose those Anthocyanins to more alkaline factors, it will start to turn blue.
Approximately how many times louder is a 150-dB sound than a 80-dB sound?
a 150-dB sound is approximately 10 million times louder than an 80-dB sound.
What is the range of sound?Provide instances of the differences between the audible, ultrasonic, and infrasonic frequency ranges. Three sorts of sound waves, each covering a distinct frequency range, are used. These are what they are:
Waves that fall inside the ear's sensitivity range are referred to be audible waves.Infrasonic waves are those whose frequencies fall below the range of human hearing. Ultrasonic waves are those with frequencies higher than those of sound.The difference in decibels between two sounds is related to the ratio of their intensities (or power) by the following formula:
dB₂ - dB₁ = 10 log10(I₂ / I₁)
where dB₁ and dB₂ are the decibel levels of the two sounds, and I₁ and I₂ are their intensities (or power).
Using this formula, we can find the ratio of the intensity of a 150-dB sound to that of an 80-dB sound:
150 dB - 80 dB = 10 log10(I₁₅₀ / I₈₀)
70 = 10 log10(I₁₅₀ / I₈₀)
7 = log10(I₁₅₀ / I₈₀)
10^7 = I₁₅₀ / I₈₀
I₁₅₀ = 10^7 * I₈₀
This shows that the intensity of a 150-dB sound is 10 million times greater than that of an 80-dB sound.
Therefore, a 150-dB sound is approximately 10 million times louder than an 80-dB sound.
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Suppose an electron in some atom absorbs energy and transitions from level 1 up to level 4. Which of the following is a true statement regarding the electron transitions back down to level 1?
a. It must transition from 4 to 3, then 3 to 2, then 2 to 1. All downward transitions are one step at a time.
b. 4 to 2, followed by 2 to 1, is possible. Downward transitions can be any number of levels.
c. It can go from 4 to 1 only. The downward transition must match the upward one.
If two people, mass of 70 kg and 85 kg respectively, approach each other with speeds of 4 m/s and 7 m/s, what is the total momentum of the two person system? Give the momentum of each and then the total momentum.
Answer:
a. Momentum A = 280 Kgm/s.
b. Momentum B = 595 Kgm/s.
c. Total momentum = 875 Kgm/s.
Explanation:
Let the two people be A and B respectively.
Given the following data;
Mass A = 70kg
Mass B = 85kg
Velocity A = 4m/s
Velocity B = 7m/s
Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.
Mathematically, momentum is given by the formula;
\( Momentum = mass * velocity \)
a. To find the momentum of A;
\( Momentum \; A = 70 * 4 \)
Momentum A = 280 Kgm/s.
b. To find the momentum of B;
\( Momentum \; B = 85 * 7 \)
Momentum B = 595 Kgm/s.
c. To find the total momentum of the two persons;
\( Total \; momentum = Momentum \; A + Momentum \; B \)
Substituting into the equation, we have;
\( Total momentum = 280 + 595 \)
Total momentum = 875 Kgm/s.
the distance between an object and its real image is 40 cm, if the magnification is 3, calculate the object and image distance if the focal length of the lens is 15 cm
The object distance of the lens is 10 cm and the image distance of the lens is 30 cm.
What is the image and object distance?The object and image distance formed by the lens is calculated by applying the following lens formula.
v + u = 40 ------- (1)
v/u = 3 ------------ (2)
v = 3u
Substitute v into equation (1);
3u + u = 40
4u = 40
u = 40/4
u = 10 cm
The image distance = 3u
= 3 x 10 cm
= 30 cm
Thus, the object distance is 10 cm and the image distance is 30 cm.
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A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J
The potential energy of the roller coaster is 176,400 J (joules).
The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.
In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).
Using the formula, we can calculate the potential energy:
PE = mgh
= (900 kg)(9.8 \(m/s^2\))(20 m)
= 176,400 J
Therefore, the potential energy of the roller coaster is 176,400 J (joules).
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find the current io in the circuit by making a succession of appropriate source transformations. express your answer to three significant figures and include the appropriate units.
Because we are converting a current source that is parallel to a resistor to a voltage source that is in series with it, the resistance is connected in series with the voltage source.
What is the straightforward definition of circuit?A circuit is a fully enclosed circle through which electricity flows. A current source, conductors, and a simple circuit are all that are needed. Any set path that electricity follows can be considered a circuit in a broad sense.
What is the process of a circuit?A power source, two wires that can transmit electricity, and other components make up an electrical circuit. Both cables have one end linked to a cell terminal and one of their free ends to a light bulb.
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proof(how this formula comes )
vector
u.v=|u||v|cosβ
The formula you mentioned is known as the dot product formula or the scalar product formula. It is used to find the angle between two vectors u and v.
Let's start by defining the vectors u and v. Suppose we have two vectors u and v in a two-dimensional space.
u = (u1, u2)
v = (v1, v2)
The dot product of these vectors is defined as:
u . v = |u| |v| cos(β)
where |u| and |v| are the magnitudes of the vectors u and v respectively, and β is the angle between the vectors u and v.
Now, let's derive this formula. The dot product of two vectors u and v is given by:
u . v = (u1 × v1) + (u2 × v2)
The magnitude of a vector is given by:
|u| = sqrt(u1² + u2²)
|v| = sqrt(v1² + v2²)
We can use the dot product and magnitude equations to obtain:
cos(β) = (u . v) / (|u| × |v|)
Multiplying both sides by |u| × |v| gives us:
|u| × |v| × cos(β) = u . v
Therefore, we have derived the dot product formula:
u . v = |u| × |v| × cos(β)
This formula can be used to find the angle between two vectors u and v in any two-dimensional or three-dimensional space.
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The complete question is-
Write the proof of the formula
u.v=|u||v|cosβ
Describe the phenomenon of lightning?
When you get a tooth pulled it leaves a big hole in your mouth. Eventually, that hole closes. How does that hole close
How many molecules are in 4 moles of H20?
Answer:
Answer: 12
1 mole of H2O contains 1 mole of H and 2 moles of O
That means that are 3 molecules in 1 mole of H2O
Please help! This is due in 10 minutes
Answer:
Atom - the basic particle of matter
Density - calculated from measurements of mass and volume
Motion - calculated from measurements of distance and time
Energy - can change form and move matter
Matter - the scientific word for stuff
Hope this helps! Please mark brainliest if correct :D
A corpse is discovered in a room that has its temperature held steady at 25oC. The CSI ocers ar- rive at 2pm and the temperature of the body is 33oC. at 3pm the body's temperature is 31oC. Assuming Newton's law of cooling and that the temperature of the living person was 37oC, what was the approximate time of death
Answer: Around 0:35 Pm or 12:35 Am
Explanation:
The equation that describes the cooling of objects can be written as:
T(t) = Ta + (Ti - Ta)*e^(k*t)
Where Ta is the ambient temperature, here Ta = 25°C.
Ti is the initial temperature of the body, we have Ti = 37°C.
t is the time.
k is a constant.
So our equation is:
T(t) = 25°C +12°C*e^(k*t)
at 2pm, the temperature was 33°C
at 3pm, the temperature was 31°C.
we want to find the hour where we have our t = 0, suppose this hour is X.
then we can write our times as:
2pm ---> 2 - X
3pm ----> 3 - X
and our equations are:
33°C = 25°C + 12°C*e^(k2 - k*X)
31° = 25°C + 12°C*e^(k3 - k*X)
So we have two equations and two variables, let's solve the system.
first, simplify it a bit, for the first eq:
33 - 25 = 12*e^(k2 - k*X)
8/12 = e^(k2 - k*X)
ln(8/12) = k*2 - k*X
for the second equation we have:
31 - 25 = 12*e^(k3 - k*X)
6/12 = e^(k3 - k*X)
ln(6/12) = k*3 - k*X
So our equations are:
1) ln(2/3) = 2*k - X*k
2) ln(1/2) = 3*k - X*k
First, let's isolate one of the variables in one of the equations. let's isolate k in the first equation.
ln(2/3)/(2-X) = k
now we can replace it in the second equation:
ln(1/2) = 3*ln(2/3)/(2 - X) - X*ln(2/3)/(2-X)
now let's solve it for X, i will take a = ln(1/2) and b = ln(2/3) so it is easier to read.
a = 3*b/(2 - X) - X*b/(2 - X)
a*(2 - X) = 3*b - X*b
2a - aX = 3b - Xb
X(a - b) = 2a - 3b
X = (2*ln(1/2) - 3*ln(2/3))/(ln(1/2) - ln(2/3)) = 0.590
now, knowing that one hour has 60 minutes, then this is:
0.59*60m = 35 minutes
So the hour of death is 0:35 Pm or 12:35 Am
what greenhouse gasses do for the atmosphere
Answer:
Explanation:
Earth's atmosphere contains greenhouse gases that trap heat. While they allow sunlight to pass through the atmosphere, they also prevent the heat it brings from leaving it.
A cyclist bikes with an average velocity of 20 m/s for 5 seconds.
What is the magnitude of the cyclist's displacement?
Your answer should have one significant figure.
Explanation:
v = s/t
20 = s/5
100 = s
s = 100 = 1 × 10².
When a cyclist bikes with an average velocity of 20 m/s for 5 seconds, the magnitude of the cyclist displacement would be 1×10² meters.
What is Velocity?
The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object. The unit of velocity is meter/second. It can also be represented by the infinitesimal rate of change of displacement with respect to time. The generally considered unit for velocity is a meter per second.
The mathematical expression for velocity is given by the formula
velocity= total displacement/Total time
The area under the velocity-time graph represents the total displacement covered by the object while the slope of the velocity time graph represents the acceleration of the object.
For the given problem when a cyclist bikes with an average velocity of 20 m/s for 5 seconds,
Displacement =velocity×time
=20×5
=1×10²
The magnitude of the cyclist's displacement is 1×10²
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what happens to the matter that makes up a liquid when sound travels through it
Explanation:
The matter passes in the directions of the noise and flows from the source to a receiver like sound flows through a substance. As the sound flows through a fluid, the material is disrupted for an amount of time, but after the sound leaves, it restored to its normal location.
A 20.0 newton force is used to push a 2.00 kilogram cart a distance of 5.00 meters how much work is done on the cart
Answer:
100
w=f*s
20*5=100....
100 Joules of work is done on the cart.
What is Work done?Work done by a force is defined as the product of the displacement and the component of the applied force on the object in the direction of displacement. When we push a block with some force, the body moves with some acceleration, so it is called work done.
Work done is expressed as W=Fd and its unit is joules which can be defined as the amount of work done by a force in Newton is applied to an object, as a result of which it is displaced in meter.
For above given information,
Force= 20 N
Distance= 5 m
So, work done= 20*5= 100 Joules
Thus, 100 Joules of work is done on the cart.
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A tennis ball and a bag filled with sand have the same mass. They are dropped from the same height and they hit the ground. The bag of sand stays on the ground, while the tennis ball rebounds. Which experiences the larger impulse from the ground?
Answer:
The bag of sand
Explanation:
I think it is the bag of sand because according to the definition of impulse, impulse is the average force acting on a particule when an external force is being acted on it.
HELP ASAP DUE IN 5MIN
1. When a skydiver jumps out of a plane, the force that converts PE to KE is ?
2. In a fair experiment, the things that can change, causing a change in the outcome are called?
3. For a test to produce strong evidence for a claim, how many variables must be tested at a time?
(Figure 1) is the potential-energy diagram for a 500 g particle that is released from rest at A . What is the particle's speed at B ?
Answer:
Explanation:
according to the graph at B the potential energy of the particle is 2J
therefore we can use the kinetic energy equation to calculate the particle's velocity or speed.
\(E_{k} =1/2mv^{2}\)
2J= 1/2*1/2kg*v^2
8=v^2
v= 2√2 ms-1
What is the escape speed from the Moon?
The Moon’s mass is 7.4×10^22 kg and its radius is 1700 km.
The speed of a spacecraft moving in a circular orbit just above the lunar surface: v = 1700 m/s
Express your answer using two significant figures.
v = __________ m/s
Answer:
1/2 m v^2 - G M m / R escape velocity equal to energy at surface
v^2 = 2 G M / R = 2 * 6.67E-11 * 7.4E22 / 1.7E6
v^2 = 2 * 6.67 * 7.4 / 1.7 * 105 = 5.81E6
v = 2410 m/s = 2400 m/s
You are on top of a building that is 75.0 m tall. You toss a ball straight up with an initial velocity of 33.8m / s How high does the ball travel? It goes up and then falls down to the ground below. How much time is it in the air?
1 The ball travel 58.29 m high
2. The time the ball spend in the air is 8.67 s
1. How to determine the maximum heightThe maximum height reached by the ball can be obtained as follow:
Initial velocity (u) = 33.8 m/sFinal velocity (v) = 0 m/s (at maximum height) Acceleration due to gravity (g) = 9.8 m/s²Maximum height (h) =?v² = u² – 2gh (since the ball is going against gravity)
0² = 33.8² – (2 × 9.8 × h)
0 = 1142.44 – 19.6h
Collect like terms
0 – 1142.44 = –19.6h
–1142.44 = –19.6h
Divide both side by –19.6
h = –1142.44 / –19.6
h = 58.29 m
2. How to determine the time spend by the ball in the airWe'll begin by calculating the time to reach the maximum height . This can be obtained as follow:
Initial velocity (u) = 33.8 m/sFinal velocity (v) = 0 m/s (at maximum height) Acceleration due to gravity (g) = 9.8 m/s²Time to reach maximum height (t₁) =?v = u – gt (since the ball is going against gravity)
0 = 33.8 – (9.8 × t₁)
0 = 33.8 – 9.8t₁
Collect like terms
0 – 33.8 = –9.8t₁
–33.8 = –9.8t
Divide both side by –9.8
t₁ = –33.8 / –9.8
t₁ = 3.45 s
Next, we shall determine the time take to fall to the ground
Acceleration due to gravity (g) = 9.8 m/s²Maximum height from building = 58.29 mHeight of building = 75 mTotal height (h) = 58.29 + 75 = 133.29 mTime to fall to the ground (t₂) =?h = ½gt²
133.29 = ½ × 9.8 × t₂²
133.29 = 4.9 × t₂²
Divide both side by 4.9
t₂² = 133.29 / 4.9
Take the square root of both side
t₂ = √(133.29 / 4.9)
t₂ = 5.22 s
Finally, we shall determine the time spend by the ball in the air. This is shown below:
Time to reach maximum height (t₁) = 3.45 sTime to fall to the ground (t₂) = 5.22 sTotal time (T) = ?T = t₁ + t₂
T = 3.45 + 5.22
T = 8.67 s
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A car accelerates from rest at a constant rate 5m/s^2. Which of the following statements is true
Answer:
jjhbkvjuhigjgyihbgtimnvyuoibc
Group B[1] 12 State Huygens's Principle [2] b) In a Young's double slit experiment, the fringe width obtained is 0.6 cm. When light of wave length 4500 Aº is used if the distance between the screen and the slit is reduced in half, what should be the wavelength of light used to obtain fingers 0.0045 m wide? [3]
The wavelength of light that should be used to obtain fringes that are 0.0045 m wide after reducing the distance between the screen and the slit by half is 2.25 * 10^7 Å.
Huygens's Principle states that every point on a wavefront can be considered as a source of secondary spherical wavelets that spread out in all directions with the same speed as the original wave. The new wavefront is formed by the envelope of these secondary wavelets at a later time.
Now, let's consider a Young's double-slit experiment. In this experiment, when light passes through two narrow slits, it creates an interference pattern on a screen behind the slits. The fringe width is the distance between two consecutive bright or dark fringes in the pattern.
Given that the fringe width obtained is 0.6 cm and the wavelength of light used is 4500 Å (Angstroms), we can calculate the wavelength of light required to obtain fringes that are 0.0045 m wide.
We can use the formula for fringe width in Young's double-slit experiment:
w = (λ * D) / d
Where:
w is the fringe width,
λ is the wavelength of light,
D is the distance between the screen and the double slits, and
d is the distance between the two slits.
Let's calculate the value of D/d using the given information:
D/d = w / λ
= 0.006 m / 4500 Å (1 m = 10^10 Å)
= 0.006 * 10^10 / 4500 m^-1
Now, if the distance between the screen and the slit is reduced by half, the new value of D/d would be:
(D'/d) = (0.006/2) * 10^10 / 4500 m^-1
Now, we can rearrange the equation to solve for the new wavelength (λ'):
(λ' * D') / d = (D/d)
λ' = (D/d) * d / D
= [(0.006/2) * 10^10 / 4500] * (4500 / 0.006) Å
= 0.0045 m * 10^10 / 2 Å
= \(0.00225 * 10^{10\) Å
=\(2.25 * 10^7\)Å
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A 2 kg block is on a horizontal, frictionless plane. A string is attached to it and then goes over a pulley at the end of the plane. How much mass should you suspend on the other end of the string in order to obtain an acceleration of 3 m/s2?
\(\\ \sf\longmapsto T=2a\)
T means tension\(\\ \sf\longmapsto mg=2a\)
\(\\ \sf\longmapsto (2+m_2)(10)=2(3)=6\)
\(\\ \sf\longmapsto m_2+2=\dfrac{6}{10}=0.6\)
\(\\ \sf\longmapsto m_2=0.6+2\)
\(\\ \sf\longmapsto m_2=2.6kg\)
The mass of 0.88 Kg should be suspended on the other end of the string in order to get an acceleration of 3 m/s².
What is the tension in the string in pulley system?The tension is produced when the rope on the pulley experiences a pulling force on the ends of the rope.
The two bodies of different masses m₁ and m₂ are connected at the ends of a string and mass m₂ is placed on a horizontal, frictionless plane and frictionless pulley.
m₁a + m₂a = m₂g
(m₁ + m₂) a = m₂g
Given the mass placed at the horizontal plane, m₁ = 2 Kg
The acceleration obtained, a = 3 m/s²
The acceleration due to gravity acting, g = 9.8m/s²
(m₁ + m₂) a = m₂g
(2 + m₂) × 3 = m₂ ×9.8
6 + 3m₂ = 9.8 m₂
9.8 m₂ - 3m₂ = 6
6.8 m₂ = 6
m₂ = 0.882 Kg
Therefore, the mass of 0.882 Kg should be suspended to obtain an acceleration of 3 m/s².
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