The width of the box can be represented by the formula: w = (ℏ/√2me)e\(^{(\pi/\sqrt2)\)
Here, w represents the width of the box, ℏ represents the reduced Planck constant, me represents the mass of an electron, e represents the mathematical constant e (approximately equal to 2.71828), and π represents the mathematical constant pi (approximately equal to 3.14159).
The formula for the width of the box is derived from the Schrödinger equation, which is a fundamental equation in quantum mechanics. The equation describes the behavior of particles in a potential well, which is essentially a box that confines the particles. The width of the box is an important parameter in this equation, as it determines the probability of finding a particle within the box.
The formula above shows that the width of the box is dependent on both the mass of the electron and the reduced Planck constant. The value of e\(^{(\pi/\sqrt2)\) is a constant that arises from the mathematics of the Schrödinger equation and is related to the energy levels of the particle within the box.
In summary, the equation for the width of the box in terms of e, π, the reduced Planck constant ℏ, and the mass of an electron me is w = (ℏ/√2me)e\(^{(\pi/\sqrt2)\).
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A bicyclist is finishing her repair of a flat tire when a friend rides by with a constant speed of 4.8 m/s. Two seconds later the bicyclist hops on her bike and accelerates at 2.2 m/s2 until she catches up with her friend.
A. How much time, counting from the moment she hops on her bike, does it take until she catches up?
B. How far does she travel in this time?
Answer:
Explanation:
(4.8 m/s)t = 1/2(2.2 m/s²)t²
2(4.8 m/s)t / (2.2 m/s²) = t²
2(4.8 m/s) / (2.2 m/s²) = t²/t
t = 4.36 s
A. total time it takes to catch up to friend = 4.36s + 2s = 6.36s (took her 2 sec to hop on the bike and get going)
B. Distance she travels is the same distance the friend travels in 4.36 s = (4.8 m/s)(4.36 s) = 1/2(2.2 m/s²)(4.36 s)² = 20.9 m
Adaline walks 2.0 miles north to school from her house. After school, she walks 2.0 miles south from the school to her house. What is her displacement?
0 miles
1.0 miles, north
2.0 miles, south
4.0 miles, north
0 miles
Explanation:
delta displacment=position end-position beginning
The displacement of Adaline if she walks 2.0 miles north to school from her house. After school, she walks 2.0 miles south from the school to her house is zero miles so, option A is correct.
What is displacement?The overall modification of an object's location and direction of motion is referred to as displacement. Since displacement considers both the amount of the changing location and the direction of the motion, it is known as a vector quantity. There may be zero, positive, or negative displacement.
Given:
Adaline walks 2.0 miles north to school from her house. After school, she walks 2.0 miles south from the school to her house,
Calculate the displacement as shown below,
Displacement = Distance from house to school + Distance from school to house,
Displacement = 2 + (-2) (North direction is taken as positive and south direction is taken as negative)
Displacement = 0 miles
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A spring stores 12 J when it is stretched by 16 cm. Calculate the spring constant.
\(\\ \rm\rightarrowtail W=Fx\)
\(\\ \rm\rightarrowtail 12=1.6F\)
\(\\ \rm\rightarrowtail F=7.5N\)
Now
\(\\ \rm\rightarrowtail F=-Kx\)
\(\\ \rm\rightarrowtail 7.5=-1.6k\)
\(\\ \rm\rightarrowtail k=-4.68N/m\)
pls help i’ll give brainliest if you give a correct answer!!
Answer:
the applied force is greater than the force of friction
Explanation:
pls give brainliest it makes me feel smart
Answer:
hi!
Explanation:
The answer is option b.
A box can definitely not move on it's own unless an external force is applied i.e muscular force. If the applied force would have been less than the force of friction then the box would have never displaced. But, since the box is able to move, we can imply that, the applied force is greater than the frictonal force leading in the displacement of the box.
the photons from the microwave background have not interacted with matter since the universe was how old?
The photons from the cosmic microwave background (CMB) radiation are believed to have not interacted significantly with matter since the universe was approximately 380,000 years old. This event is known as recombination.
In the early stages of the universe, the high energy and density prevented light from traveling freely. Photons were continuously scattered by free electrons and protons, resulting in a dense, opaque plasma. However, as the universe expanded and cooled, it reached a point where electrons and protons combined to form neutral atoms. This process, called recombination, occurred when the universe was around 380,000 years old.
Following recombination, photons were no longer frequently scattered by matter, allowing them to travel freely through space. The photons we observe today as the CMB radiation have traveled across the universe for approximately 13.8 billion years since their last significant interaction with matter during recombination.
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A 10 kg box falls off a building. The box is shown at 4 different positions along its
path.
For each position of the box, calculate the potential energy (PE). Then use the law of
conservation of energy to determine the kinetic energy (KE). Calculate the velocity of the box
at each point for extra credit.
Main answer-
PE=mgh
KE=E-PE
V = (2*g*h)^½
at point A
PE = 10*9.8*50=4900 J
KE = 0 J ( because the velocity of the body is 0)
V=0
at point B
PE = 10*9.8*35=3430 J
KE = 4900-3430=1470 J
V= ( 2*9.8*15)^ ½
V=17.14 m/s
at point C
PE= 10*9.8*25=2450 J
KE=4900-2450=2450 J
V= (2*9.8*25)^ ½
V=22.135 m/s
at point D
PE=10*9.8*0=0 J
KE=4900-0=4900 J
V=(2*9.8*50)^ ½
V=31.30 m/s
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Making a forecast of what will happen in the future based on past experience or evidence is called
a.
observing.
c.
predicting.
b.
inferring.
d.
classifying.
Answer: c
Explanation:
there are three equally sized pulleys connected by a rope. the rope is twisted in between each pair of pulleys. if the first pulley on the left is turned counterclockwise, which direction will the pulley 3 turn?
If the first pulley on the left is turned counterclockwise, pulley 3 will turn counterclockwise as well.
The direction that pulley 3 will turn depends on the direction in which the rope is twisted between each pair of pulleys.
The direction of rotation of pulley 3 will be opposite to that of pulley 1, as the rope is looped around all three pulleys in a continuous manner. This means that if pulley 1 is turned counterclockwise, pulley 3 will likely turn clockwise. However, the exact direction may vary depending on the specifics of the pulleys and rope system.
Step 1: Turn the first pulley counterclockwise.
Step 2: Observe that the twisted rope between the first and second pulleys causes the second pulley to rotate in the opposite direction. Therefore, the second pulley will turn clockwise.
Step 3: Similarly, the twisted rope between the second and third pulleys causes the third pulley to rotate in the opposite direction of the second pulley.
If the first pulley on the left is turned counterclockwise, pulley 3 will turn counterclockwise as well.
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BRAINLIEST AND 100 POINTS
What are some of the challenges for manned space exploration associated with the differences in gravity?
Select all correct answers.
1. Cardiovascular deterioration
2. Dementia
3. Bone deterioration
4. Muscle deterioration
(10 points)
a. Ball 3 has the lowest speed.
b. Ball 1 has the lowest speed.
c. All three balls have the same speed.
D. The speed of the balls depends on their mass.
Answer:
option b has the correct answer of given statement
The largest and the smallest balls used in the experiment are with diameter 9. 52 mm, and 2. 38 mm respectively. For a glycerin with viscosity 1. 0 pa. S, what is the time necessary for each ball to reach a velocity 95% of the terminal velocity? density of the ball material is given in the text. Round the result to three decimal places.
Here the answer = 0.0080 .
Solution:Based on stokes law,
v = g * D^2 *(d p - d m) / (18 V)
v = terminal velocity
D = diameter of particle
V = Viscosity
dp = density of particle
dm = density of medium.
Here density of ball = 1.42 gm/cc
By substituting,
v = 9.81 x 9.52 x 10^-3 ^2 (1420 - 1300) / 18 x 1.0
=5.92x10^-4
v(t) =0 .99 x Vtrm
=0 .99 x 0.0059
= 0.00059 m/s
v(t)/Vterm =1-e^(-t/r)
0.99 = 1 - e ^ (-t / 9.52 x 10^-3)
e ^ (-t / 9.52 x 10^-3) = 0.01
Taking log
-t / 9.52 x 10^-3 = -4.6
t = 0.0438 s
Then smaller ball
v = 9.81 x 2.38 x 10^-3 ^2 (1420 - 1300) / 18 x 1.0
= 0.000037 m/s
v(t) / Vterm = 1-e^(-t/r)
0.99 = 1 - e ^ (-t / 2.38 x 10^-3)
e ^ (-t / 2.38 x 10^-3) = 0.01
Taking log
-t / 2.38 x 10^-3 = -4.6
t = 0.0109 s
Here Reynolds number is,
R= rho vd / mu
= 1420 x 0.00059 x 9.52 x 10^-3 x / 1.0
= 0.0080
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a clock has a second hand whose tip rubs against the inside of the glass cover. if the frictional force between the glass cover and the tip of the second hand is 0.0022 n and the length of the hand is 7.5 cm, what is the minimum torque that must be applied to the second hand if the clock is not to be stopped?
The minimum torque that must be applied to the second hand of the clock to prevent it from stopping is dependent on the frictional force between the glass cover and the tip of the hand, which is 0.0022 N.
Torque is the rotational equivalent of force and is defined as the product of force and the perpendicular distance from the axis of rotation to the line of action of the force. In this case, the frictional force between the glass cover and the tip of the second hand creates a torque that opposes the motion of the hand. To prevent the clock from stopping, a minimum torque must be applied to overcome the frictional force.
The torque (τ) can be calculated using the formula τ = r × F, where r is the distance from the axis of rotation to the point where the force is applied (in this case, the length of the hand) and F is the magnitude of the force (the frictional force). The minimum torque required to counteract the frictional force and keep the clock running without stopping is given by the product of the length of the hand and the frictional force, which is 0.0022 N multiplied by 7.5 cm (converted to meters).
Calculating the product, the minimum torque required would be 0.0165 N·m (Newton-meters). This torque ensures that the frictional force between the glass cover and the tip of the second hand is effectively countered, allowing the clock to continue its motion without being stopped by the friction.
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a sim,ple elctrical ciurucuiot contains a battery a light bulb and a properly copnnected ammeter the ammeter has a very low internal resistance because it is connected in
In a simple electrical circuit, if it contains a battery, a light bulb, and a properly connected ammeter, the ammeter has a very low internal resistance because it is connected in series with the circuit.
An electrical circuit is made up of a combination of resistors, voltage sources, and current sources that are interconnected in a closed loop. It is used to generate an electric current in a complete circuit and can be as straightforward as a battery connected to a bulb or as complicated as a full-scale electronic circuit.
Ammeters are measuring devices that are used to measure current in a circuit. The ammeter should be connected in series with the circuit to allow current to flow through it. An ammeter with a very low internal resistance should be used since any extra resistance in the ammeter can change the current being measured.
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An object that is moving can be in equilibrium.
O True
O False
Answer:
i think its false
Explanation:
A zero acceleration is the fundamental characteristic of an object in equilibrium.
Answer:
True
Explanation:
If its moving at a constant velocity its acceleration is zero. An zero acceleration is the the fundamental characteristic of an object in equilibrium
A 2 000-kg car is slowed down uniformly from 20. 0 m/s to 5. 00 m/s in 4. 00 s. (a) What average force acted on the car during that time, and (b) how far did the car travel during that time
The average force acting on the car is -12500 N, and the car traveled 40.0 m during the 4.00 s it took to come to a stop.
(a) To determine the average force acted on the car, we can use the formula:
average force = (mass x change in velocity) / time
where mass is the mass of the car, change in velocity is the difference between the initial velocity and the final velocity, and time is the time taken for the car to come to a stop.
Substituting the given values, we get:
average force = \(\frac{2000 \times (5.00 - 20.0)}{4.00}\)
average force = -12500 N (negative sign indicates the force acts in the opposite direction of motion)
Therefore, the average force acting on the car is 12500 N in the opposite direction of motion.
(b) To determine how far the car traveled during that time, we can use the formula:
distance = initial velocity x time + (1/2) x acceleration x time^2
where initial velocity is the initial velocity of the car, time is the time taken for the car to come to a stop, and acceleration is the acceleration of the car during that time (which is equal to the average force divided by the mass of the car).
Substituting the given values, we get:
distance = \(20.0\ \mathrm{m/s} \times 4.00\ \mathrm{s} + \frac{1}{2} \times \frac{-12500\ \mathrm{N}}{2000\ \mathrm{kg}} \times (4.00\ \mathrm{s})^2\)
distance = 80.0 m - 40.0 m
distance = 40.0 m
Therefore, the car traveled 40.0 m during the 4.00 s it took to come to a stop.
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The direction of the electric field is in the direction that a
_______ test charge would be pushed or pulled if placed in the space surrounding the source charge.
Answer:
The correct answer is Positive
Explanation:
Put the word POSITIVE
Which is true of goal setting
Answer:
I need a picture dude or something more specific than the other kids were white gold and blue
How long does it take for Earth to make one rotation on its axis?
OA.
1 year
ОВ.
1 day
OC.
1 hour
OD
1 month
Explanation:
ob 1 day
1day is the answer
Talia is on a trip with some friends. In the first 2 hours , they travel 100 miles. Then they hit traffic and go only 30 miles in the next hour. The last hour of their trip , they drive 75 miles
Answer:
51 miles/hour
Explanation:
Talia is on a road trip with some friends. in the first 2 hours, they travel 100 miles. then they hit traffic and go only 30 miles in the next hour. the last hour of their trip, they drive 75 miles. calculate the average speed of talia’s car during the trip. give your answer to the nearest whole number.
The average speed would be 51 miles/hour.
The average speed of a moving object is defined as the total distance traveled relative to the total time taken fro the journey. Mathematically, it is given as:
total distance traveled/total time taken.
In this case;
Total distance traveled = 100 + 30 + 75 = 205 miles
Total time taken = 2 + 1 + 1 = 4 hours
Therefore;
Average speed = 205/4 = 51.25 miles/hour
To the nearest whole number = 51 miles/hour
An average eardrum has an area of about 5. 0x10-5m2. What is the force in newtons exerted on an eardrum if you are at the bottom of a water-filled pool that is 2. 9 meters deep? (hint: take all pressures into account)
The force exerted on the eardrum at the bottom of a 2.9m deep water-filled pool is approximately 1.4 x 10^-3 N, taking into account the pressure of the water and the atmosphere.
The pressure at the bottom of the water-filled pool can be calculated using the formula P = rho * g * h, where rho is the density of water (1000 kg/m^3), g is the acceleration due to gravity (9.81 m/s^2), and h is the depth of the pool (2.9 m). Thus, P = (1000 kg/m^3) * (9.81 m/s^2) * (2.9 m) = 28410 Pa. The total force exerted on the eardrum is then the product of pressure and area: F = P * A = (28410 Pa) * (5.0 x 10^-5 m^2) = 1.4 x 10^-3 N. This force takes into account the pressure of the water as well as the atmospheric pressure.
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if the wire is tipped so that it makes an angle of 15.0 ∘ with the horizontal, what force will it now feel? [hint: what length of wire will now be in the field?]
If the wire is tipped at an angle of 15.0° with the horizontal, we need to determine the force it will now feel. The length of the wire that will be in the magnetic field is relevant to finding the answer.
When a wire carrying current is placed in a magnetic field, it experiences a force perpendicular to both the direction of current flow and the magnetic field. In this case, when the wire is tipped at an angle of 15.0° with the horizontal, only a component of the wire's length will be in the magnetic field.
To find the force, we need to consider the effective length of the wire in the magnetic field. This can be calculated by multiplying the actual length of the wire by the cosine of the angle between the wire and the magnetic field. Once we have the effective length, we can use the formula for the force on a current-carrying wire in a magnetic field, which is given by the equation F = BIL, where B is the magnetic field strength, I is the current, and L is the length of the wire in the field. By substituting the effective length into the equation, we can determine the force the wire will experience.
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3. What is a consideration when forcing interior walls?
A.
C.
D.
The wall coverings often hide interior metal framing.
The walls may be load-bearing and affect structural integrity.
Power tools must be used since all interior walls are reinforced.
Forcing the wall will require firefighters to work in a team of two.
Power tools must be used since all interior walls are reinforced is a consideration when forcing interior walls.
The correct option is C.
What does a load-bearing?The load of the floor or roof construction above them is supported by load-bearing walls, also referred to as "bearing walls." They are made to transfer weight from the roof to the foundation by passing through the flooring. A bearing wall, also known as a load-bearing barrier or a structural wall, supports the entire weight of the home. This wall assists in distributing the weight of the building from the roof to the base, and its loss could lead to the building collapsing.
How is a load-bearing determined?Tom proposes going up to the attic or basement to check which direction the joists run to see if a wall is load-bearing. The wall is still most likely not load-bearing if it runs parallel to the joists.
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The complete question is -
What is a consideration when forcing interior walls?
A-The wall coverings often hide interior metal framing.
B-The walls may be load-bearing and affect structural integrity.
C-Power tools must be used since all interior walls are reinforced.
D-Forcing the wall will require firefighters to work in a team of two.
What includes the hippocampus, amygdala and hypothalamus?
Answer:
the limbic system has its input and processing side (the limbic cortex, amygdala and hippocampus) and an output side (the septal nuclei and hypothalamus).
Explanation:
hope it helps
Answer:
limbic system
Explanation:
The "limbic system" is situated under the cerebrum. It is responsible for the person's emotions and memories. Its primary structures include: hippocampus, amygdala, thalamus and hypothalamus.
The "hippocampus" is responsible for obtaining new memories. It is also associated with mental functions like "learning."
The "amygdala" is responsible for emotional memories.
The "thalamus" and "hypothalamus" are responsible for reactions towards the emotions.
your friend claims that p(a) = p(a or b) - p(not a)p(b|not a). is this true sometimes, always, or never?
This statement is true and is known as the Law of Total Probability. It states that the probability of an event A is equal to the sum of the probability of A given that another event B has occurred and the probability of A given that B has not occurred, multiplied by the probability of B not occurring. In symbols, this can be expressed as:
P(A) = P(A | B) * P(B) + P(A | not B) * P(not B)
where P(A) is the probability of event A occurring, P(B) is the probability of event B occurring, P(not B) is the probability of event B not occurring, P(A | B) is the conditional probability of A given that B has occurred, and P(A | not B) is the conditional probability of A given that B has not occurred.
In this case, the friend's claim can be written as:
P(A) = P(A or B) - P(not A) * P(B | not A)
which is equivalent to:
P(A) = P(A | B) * P(B) + P(A | not B) * P(not B) - P(not A) * P(B | not A)
This is the same formula as the Law of Total Probability, so the friend's claim is true, always.
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A toy dart gun contains a spring with a spring constant of 220 N/m. A 0.069 kg dart is pressed 0.07 m into the gun. If the dart got stuck to the spring with what frequency will the dart oscillate (neglect friction)?
If the dart got stuck to the spring then the period of this oscillation will be 0.11 s.
Simple harmonic motion is a specific kind of periodic motion of a body that arises from a dynamic equilibrium between an inertial force that is proportional to the body's acceleration away from the static equilibrium position and a restoring force on the moving object that is directly proportional to the magnitude of the object's displacement and acts towards the object's equilibrium position. If friction or any other energy dissipation is not present, it leads to an oscillation that is represented by a sinusoid and that lasts indefinitely. Oscillating spring perform SHM
The differential equation for SHM is given by,
\(\frac{d^2x}{dt^2} + \sqrt{\frac{k}{m}} x=0\)
the period of the system is given by
ω²=2π√(m/k).
Given,
k = 220 N/m.
m = 0.069 kg
x =0.07
Putting values in the equation, we get
T=2π√(0.069/220)
T = 0.11 s
Hence period the oscillation is 0.11 s.
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A vehicle is traveling at a velocity of 30 meters per second. Exactly 5 seconds later, its velocity has changed by a factor of 0.6. What was the vehicles average acceleration over that time period?
Answer:
-2.4 m/s²
Explanation:
avg accel = Δv/Δt
v-i = 30 m/s
v-f = (30 m/s)(0.60) = 18 m/s
Δt = 5.0 sec
avg accel = (18 m/s - 30 m/s) / 5.0 s = (- 12 m/s) / 5 s = -2.4 m/s²
negative sign means it's slowing down
A train travels at a speed of 30mph and travelled a distance of 240 miles. How long did it take the train to complete its journey? Must show your work
Answer:
8
Explanation:
240 divided by 30 = 8
using the generalized mass m* and generalized stiffness k*, and the appropriate shape function, determine the fundamental period t. in g
The mass matrix M (p) describes the generalized mass and inertia of the system as a function of the vehicle pose.
What is generalized mass?The term "generalized mass" usually refers to a representation of the "physical" mass matrix that has been transformed from "physical" (also known as "nodal" in FE) coordinates to generalised (also known as "modal") coordinates.
The eigenvalue analysis yields eigenvalues, which are related to the system's natural frequencies (2*pi*f2), and eigenvectors, which are the mode shapes associated with each of those frequencies. When all of these eigenvectors are combined into one matrix, with each column of the matrix representing one eigenvector, we have the system's "modal matrix." You can scale each column however you want. The columns are frequently scaled so that each has a maximum value of 1.
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c) what is the angle of incidence from glass when the reflected light in glass is linearly polarized?
The angle of incidence from the glass when the reflected light in the glass is linearly polarized is called Brewster's angle.
Brewster's angle is the angle of incidence at which light is polarized when it is reflected from a transparent surface, such as glass. The reflected light at this angle is entirely polarized and has no parallel component.What is polarization of light?When light waves propagate through space, the electric and magnetic fields at each point in the wave can oscillate in different directions.
The polarization of light is the orientation of the electric field vector that produces the electromagnetic wave as it propagates. The reflected light from a transparent surface, such as glass, is entirely polarized when the angle of incidence is Brewster's angle. When the angle of incidence is greater than Brewster's angle, both polarizations are reflected, and the reflected light is no longer linearly polarized.
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enc
Why do two socks sometimes stick together
in a dryer?
A. Both socks have a positive charge.
CB. Both socks have a negative charge.
C. Protons move from one sock to
another.
CD. Electrons move from one sock to
another.
Answer:
D. Electrons mover from one to another
Explanation:
Static electricity occurs when electrons are transferred from one object to another.