The uncertainty in the emitted wavelength is approximately: 0.013 nm.
The mean lifetime of an electronically excited state in a molecule is 5 ns. If this state emits at 500 nm, calculate the uncertainty in the emitted wavelength.
The uncertainty in the emitted wavelength can be calculated using the relation given below,Δλ = h/(4πmc)τ
Here, Δλ is the uncertainty in the emitted wavelength is Planck’s constant
m is the mass of an electron
c is the speed of light in vacuum
t is the lifetime of the excited state
Therefore, substituting the given values we have,Δλ = (6.626 × 10^-34)/(4π × 9.1 × 10^-31 × 3 × 10^8 × 5 × 10^-9)≈ 0.013 nm (approximately)
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what are someone of the sources of errors in the ohm's law experiment
Explain what types of data streams can support and how they handle the data.
What are they?
Data streams are continuous flows of data that can be used to capture, process, and analyze real-time information.
Types of data streams that can be supported include:Data streams are typically handled by streaming data processing engines. These engines process and analyze the data as soon as it arrives, allowing for real-time insights and decision-making.
Sensor data streams: This type of data stream captures data from various sensors, such as temperature, humidity, motion, and pressure.Web service data streams: These data streams capture data from web services, such as weather, traffic, and stock market information.Database data streams: These data streams capture data from databases, such as customer data, product information, and financial transactions.Social media data streams: These data streams capture data from social media sites.Machine data streams: These data streams capture data from machines, such as production lines, robots, and industrial equipment.They are used to capture data from a variety of sources, such as sensors, web services, databases, and other online sources.
Data streams are handled in real-time, meaning that they are processed and analyzed as soon as they arrive.
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questions
12. The diagram shows a zinc plate exposed to weak ultraviolet (UV)
light. The UV light causes electrons to be emitted from the
surface of the plate.
a) Name this phenomenon.
b)
Initially, the plate is neutral in charge. State and explain
the effect on the charge of the plate as the zinc plate is
exposed to the UV light.
UV light
electrons
zinc plate
c)
State and explain the effect on the rate of emission of
electrons when the intensity of the UV light is increased.
d)
In a data book, the work function energy of zinc is quoted as 4.24 eV. Explain what is meant
by the work function energy (no calculations are necessary).
Answer:
a) The phenomenon is known as the photoelectric effect.
b) When the zinc plate is exposed to UV light, some of the photons in the light have enough energy to knock electrons out of the surface of the plate. These emitted electrons carry a negative charge, so as they leave the surface of the plate, it becomes positively charged.
c) As the intensity of the UV light is increased, more photons with sufficient energy to knock electrons out of the surface of the plate are present. Therefore, the rate of emission of electrons increases.
d) The work function energy of zinc refers to the amount of energy required to remove an electron from the surface of a zinc atom. In other words, it is the minimum amount of energy required to cause the photoelectric effect to occur. The work function energy is a characteristic property of the material and is typically measured in electron volts (eV). In the case of zinc, the work function energy is 4.24 eV, meaning that at least 4.24 eV of energy is required to eject an electron from a zinc atom.
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a baseball collides with a baseball glove. which equation is used to calculate the force the glove exerts on the ball during the collision?
A baseball and a glove make contact. What formula is used to determine how much force the glove applies to the ball when it collides is W= f x d.
The ball striking the glove would be the action force, and the glove applying force back to the ball would be the reaction force.
W = f x d
W = work done is the formula for work completed.
Force = F, and Distance = D
The forces are balanced because the baseball is at rest in the pitcher's glove. When the ball is moving during the pitcher's windup and release, the forces are out of balance. Then, as the ball continues to move in the air at a consistent speed, they balance themselves once more. When the ball slows down after hitting the catcher's gloves, the forces become out of balance. Once the ball is absolutely still in the catcher's glove, they balance out again.
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An object with mass m is attached to the end of a spring with spring constant k, the object is displaced a distance d from equilibrium and released.
What is the speed v of the mass when it returns to the equilibrium position?
When an object with mass m is attached to the end of a spring with spring constant k and displaced a distance d from equilibrium and released, it undergoes simple harmonic motion. The speed v of the mass when it returns to the equilibrium position is given by: v = sqrt((kd²)/m)
The maximum potential energy of the system is given by:
U = (1/2)kx²
where x is the displacement of the object from its equilibrium position. At the maximum displacement d, the potential energy of the system is:
U = (1/2)kd²
As the object oscillates back and forth, the potential energy is converted into kinetic energy, given by:
K = (1/2)mv²
where v is the speed of the mass at any point during its motion.
At the equilibrium position, all of the potential energy has been converted into kinetic energy, so we can equate the two expressions:
(1/2)kd² = (1/2)mv²
Solving for v, we get:
v = sqrt((kd²)/m)
Therefore, the speed v of the mass when it returns to the equilibrium position is given by:
v = sqrt((kd²)/m)
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what has mobed to produce the charge on the plates
Charges need to be transferred from one plate to the other to generate a charge on a capacitor's plates. Electrons are usually moved from one plate to the other by attaching the plates to a power source, such as a battery.
The plate attached to the negative terminal of the battery becomes negatively charged and the plate connected to the positive terminal of the battery becomes positively charged when the power source is connected.
Until the potential difference between the plates equals the potential difference between the battery connections, electrons move from the negative plate to the positive plate. The flow of electrons stops at this moment, and the capacitor is fully charged.
In an electric field that is created between the plates of a capacitor, the charges on the plates are retained. The potential differential between the plates is produced by this electric field and is inversely proportional to the charge on the plates and their separation from one another.
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an 8-meter ladder is leaning against a vertical wall. if a person pulls the base of the ladder away from the wall at the rate of 0.7 m/s, what is the rate of change of the distance between the top of the ladder and the ground when the base of the ladder is
The rate of change of the distance between the top of the ladder and the ground when the base of the ladder is pulled away from the wall at the rate of 0.7 m/s is: 0.7 m/s.
Since the base of the ladder is moving away from the wall, the distance between the top of the ladder and the ground must be increasing. Therefore, the rate of change of the distance between the top of the ladder and the ground is equal to the rate of change of the base, which is 0.7 m/s.
The formula for the rate of change is given by: Rate of change = Change in distance/Change in time.
In this case, the rate of change is equal to the rate at which the base is moving away from the wall, 0.7 m/s.
To summarize, the rate of change of the distance between the top of the ladder and the ground when the base of the ladder is pulled away from the wall at the rate of 0.7 m/s is 0.7 m/s.
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what frequency is detected by a stationary train? the velocity of sound is 343 m/s . answer in units of hz.
Sοund with frequency f0=492 Hz is emitted frοm a statiοnary sοurce. A big car mοving at a 2 ms-1 speed tοward the sοund sοurce reflects the sοund.
Hοw fast is that, fοr instance?The rate οf sοmething mοving in οne directiοn is called its velοcity. As an illustratiοn, think οf the velοcity οf a car driving nοrth οn such a highway οr the speed at which a rοcket takes οff. Because the velοcity vectοr is scalar, it always has the same absοlute value magnitude as the mοtiοn's speed.
Is speed always equal tο velοcity?Only when a mοving bοdy mοves inside a single uninterrupted path dο the speed and velοcity measurements match in magnitude. Nοnetheless, if a bοdy dοesn't mοve in a single, straight line.
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Complete Question:
What frequency is detected by a stationary train? The velocity of sound is 343 m/s .
Answer in units of Hz.
two parallel wires are 6.00 cm apart, and each carries a current of 1.00 a. (a) if the currents are in the same direction, find the force per unit length exerted on one of the wires by the other. are the wires attracted to or repelled by each other? (b) repeat the problem with the currents in opposite directions.
(a) Same-direction currents result in attraction. Force per unit length: 1.11 × 10⁻⁵ N/m.
(b) Opposite direction currents result in repulsion. Force per unit length: -1.11 × 10⁻⁵ N/m.
When two parallel wires carry currents in the same direction, they experience a force of attraction, while they experience a force of repulsion when the currents are in opposite directions. The force per unit length exerted on one of the wires by the other can be calculated using the formula F = μ₀I₁I₂L / (2πd), where F is the force per unit length, μ₀ is the permeability of free space, I₁ and I₂ are the currents in the wires, L is the length of the wires, and d is the distance between the wires. For the given problem, the force per unit length exerted on one of the wires by the other is 1.11 × 10⁻⁵ N/m when the currents are in the same direction, indicating attraction, and -1.11 × 10⁻⁵ N/m when the currents are in opposite directions, indicating repulsion. Therefore, the wires either attract or repel each other based on the direction of the currents they carry.
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what do you predict will happen in activity 2-2 when the coil is pulled away from the north pole of magnet
So, in Activity 2-2, if the coil is pulled away from the north pole of a magnet, it is likely that an EMF will be induced in the coil.
What is EMF?However, based on general principles of electromagnetism, if a coil is pulled away from the north pole of a magnet, it will experience a change in magnetic flux, which can induce an electromotive force (EMF) in the coil. This phenomenon is known as electromagnetic induction.
How is direction of EMF known?The magnitude and direction of the induced EMF will depend on several factors, such as the strength of the magnet, the velocity at which the coil is moved, and the orientation of the coil with respect to the magnetic field. If the coil is part of a circuit, the induced EMF can cause a current to flow in the circuit.
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water is sprayed on oranges during a frosty night. if an average of 11.8g of water freezes on each orange, how much heat is released answer
Answer:
fusion of water = 80 cal/gm
11.8 g * 80 cal / g = 940 cal released by each orange
Find the moments of inertia Ix, Iy, I0 for a lamina that occupies the part of the disk x2 y2 ≤ 36 in the first quadrant if the density at any point is proportional to the square of its distance from the origin. (Assume that the coefficient of proportionality is k. )
To find the moments of inertia Ix, Iy, I0 for the given lamina, we first need to calculate its mass and centroid. The density at any point is proportional to the square of its distance from the origin,
so the mass element dm can be expressed as kr^2dA, where k is the coefficient of proportionality, r is the distance from the origin, and dA is the differential area element. Using polar coordinates, we can express the given region as 0 ≤ r ≤ 6 and 0 ≤ θ ≤ π/2. Integrating dm over this region, we get the total mass of the lamina as: M = ∫∫ kr^2dA = k ∫∫ r^2dA = k ∫θ=0..π/2 ∫r=0..6 r^2r dr d = k ∫θ=0..π/2 [r^4/4]_r=0..6 dθ = (3/5)πk(6^5) To find the centroid of the lamina, we can use the formulae: x_c = (1/M) ∫∫ xdm, y_c = (1/M) ∫∫ ydm Simplifying, we get: x_c = (1/M) k ∫∫ xr^2dA, y_c = (1/M) k ∫∫ yr^2dA.
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what is the angular momentum of a 0.210-kg ball revolving on the end of a thin string in a circle of radius 1.25 m at an angular speed of 10.4 rad>s?
A ball revolving on the end of a thin string in a circle of radius 1.25 m at an angular speed of 10.4 rad/s angular momentum of the ball revolving on the end of the string is 3.058 m²/s.
The angular momentum (L) of an object revolving in a circle is given by the formula:
[tex]\[ L = I \cdot \omega \][/tex]
Here:
I = moment of inertia of the object about the axis of rotation.
[tex]\(\omega\)[/tex] = angular speed of the object in radians per second.
For a point mass rotating about an axis at a distance r from the axis, the moment of inertia (I) is given by:
[tex]\[ I = m \cdot r^2 \][/tex]
Here:
m = mass of the object.
r = radius of the circle.
Given the values:
Mass (m) = 0.210 kg
Radius (r) = 1.25 m
Angular speed ([tex]\(\omega\)[/tex]) = 10.4 rad/s
Let's calculate the moment of inertia (I) first:
[tex]\[ I = m \cdot r^2 \\\\= (0.210 \, \text{kg}) \cdot (1.25 \, \text{m})^2 \][/tex]
Now, calculate the angular momentum using the moment of inertia and angular speed:
[tex]\[ L = I \cdot \omega \][/tex]
Plug in the values and calculate:
[tex]\[ L = (0.210 \, \text{kg} \cdot (1.25 \, \text{m})^2) \cdot (10.4 \, \text{rad/s}) \][/tex]
Calculate the angular momentum (L):
[tex]\[ L \approx 3.058 \, \text{kg} \cdot \text{m}^2/\text{s} \][/tex]
Thus, the angular momentum of the ball revolving on the end of the string is approximately [tex]\(3.058 \, \text{kg} \cdot \text{m}^2/\text{s}\)[/tex].
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how the kinetic frictional force on the wooden block depends on the normal force on the wooden block
The kinetic frictional force on a wooden block is directly proportional to the normal force on the block. This means that as the normal force increases, so does the kinetic frictional force, and vice versa.
The kinetic frictional force is the force that opposes the motion of a sliding object. When an object, such as a wooden block, is in contact with a surface, there is a normal force acting on the object that is perpendicular to the surface. The normal force is the force that prevents the object from passing through the surface. The frictional force between the object and the surface is directly proportional to the normal force. This is known as Coulomb's law of friction. The coefficient of friction is a constant that determines the amount of frictional force between the object and the surface. The coefficient of kinetic friction is used to calculate the frictional force when the object is in motion. It is a ratio of the kinetic frictional force and the normal force. Therefore, the kinetic frictional force on a wooden block depends on the normal force on the block and the coefficient of kinetic friction between the block and the surface. As the normal force increases, the frictional force also increases proportionally.
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g a truck with a mass of 1690 kg and moving with a speed of 13.0 m/s rear-ends a 615 kg car stopped at an intersection. the collision is approximately elastic since the car is in neutral, the brakes are off, the metal bumpers line up well and do not get damaged. find the speed of both vehicles after the collision in meters per second
The final velocities of the truck and car after the collision are both 13.0 m/s and 0 m/s, respectively.
Steps
To solve this problem, we can use the conservation of momentum and kinetic energy:
Conservation of momentum:
m1v1 + m2v2 = m1v1' + m2v2'
where
m1 = 1690 kg (mass of the truck)
v1 = 13.0 m/s (initial velocity of the truck)
m2 = 615 kg (mass of the car)
v2 = 0 m/s (initial velocity of the car)
v1' = final velocity of the truck
v2' = final velocity of the car
Solving for v1' and v2':
m1v1 + m2v2 = m1v1' + m2v2'
1690 kg * 13.0 m/s + 615 kg * 0 m/s = 1690 kg * v1' + 615 kg * v2'
21970 kg m/s = 1690 kg * v1' + 0 kg m/s
v1' = 21970 kg m/s / 1690 kg = 13.0 m/s
So the truck maintains its initial speed of 13.0 m/s after the collision.
Now let's solve for the final velocity of the car:
m1v1 + m2v2 = m1v1' + m2v2'
1690 kg * 13.0 m/s + 615 kg * 0 m/s = 1690 kg * 13.0 m/s + 615 kg * v2'
0 kg m/s = 0 kg m/s + 615 kg * v2'
v2' = 0 m/s
So the car comes to a complete stop after the collision.
Therefore, the final velocities of the truck and car after the collision are both 13.0 m/s and 0 m/s, respectively.
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A mass m=15.0 kg is pulled along a horizontal floor, with a coefficient of kinetic friction μk =0.06, for a distance d=8.5 m. then the mass is continued to be pulled up a frictionless incline that makes an angle θ=35.0° with the horizontal. the entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of θ=35.0° (thus on the incline it is parallel to the surface) and has a tension t=45.0 n.1) what is the work done by tension before the block gets to the incline?2) what is the work done by friction as the block slides on the flat horizontal surface?
(a) the work done by tension before the block gets to the incline: Wt = 199.2 J. (b) the work done by friction as the block slides on the flat horizontal surface: Wk = - 45.5 J.
a)
consider the motion along the horizontal direction
T = tension force in the rope pulling the mass = 33 N
d = displacement of the mass before it gets to the inclined surface = 6.9 m
ϴ = angle between the tension force and displacement = 29
work done by tension force is given as
[tex]w_{t}[/tex] = work done by tension force = T d Cosϴ
[tex]w_{t}[/tex] = (33 x 6.9) Cos29
[tex]w_{t}[/tex] = 199.2 J
b)
for the mass, the force equation in the vertical direction is given as
T Sinϴ + Fn = mg
inserting the values
33 Sin29 + Fn = 15 x 9.8
Fn = 131 N
uk = Coefficient of kinetic friction = 0.05
the kinetic frictional force is given as
[tex]f_{k} = u_{k} f_{n}[/tex]
inserting the values
[tex]f_{k}[/tex] = (0.05) (131)
[tex]f_{k}[/tex] = 6.6 N
Ф = angle between the displacement "d" and frictional force "[tex]f_{k}[/tex]" = 180
Wk = [tex]f_{k}[/tex] d Cos\Ф
work done by the frictional force is given as inserting the values
Wk = (6.6) (6.9) Cos180
Wk = - 45.5 J
c)
v = speed gained by the mass before it gets to the incline
using work-change in kinetic energy theorem
work done by the external force = change in kinetic energy
Wt + Wk = (0.5)m v2
199.2 + (- 45.5) = (0.5) (15) v2
v = 4.5 m/s
d)
a = acceleration of mass parallel to the incline
consider the motion parallel to the inclined surface
parallel to the incline, the force equation for the motion is given as
T - mg Sin29 = ma
33 - (15 x 9.8) Sin29 = 15 a
a = - 2.6 m/s2
D = distance traveled parallel to the incline before coming to rest
vi = initial velocity at the start of incline = v = 4.5 m/s
v = final velocity as it comes to stop = 0 m/s
using the kinematics equation
vf2 = vi2 + 2 a D
02 = 4.52 + 2(- 2.6) D
D = 3.89 m
e)
h = height gained by the mass on an incline
Sin29 = h/D
hence h = D Sin29
h = 3.89 Sin29
h = 1.89 m
Fg = force of gravity in downward direction = mg = 15 x 9.8 = 147 N
= angle between the force of gravity "Fg" in the down direction and displacement "h" in the upward direction = 180
Work done by gravity is given as
Wg = Fg d Cosα
Wg = (147) (1.89) (Cos180)
Wg = - 277.83 J
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the complete question is:
A mass m = 15 kg is pulled along a horizontal floor, with a coefficient of kinetic friction. k = 0.05, for a distance d = 6.9 m. Then the mass is continued to be pulled up a frictionless incline that makes an angle. = 29?½ with the horizontal. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of? = 29?½ (thus on the incline it is parallel to the surface) and has a tension T = 33 1)What is the work done by tension before the block gets to the incline? 2)What is the work done by friction as the block slides on the flat horizontal surface? 3)What is the speed of the block right before it begins to travel up the incline? 4)How far up the incline does the block travel before coming to rest? 5)What is the work done by gravity as it comes to rest?
Place the following regions of the Sun in order of increasing radius
a. corona
b. core
c. radiative zone
d. convective zone
e. chromosphere
f. photosphere
g. a sunspot
The core, radiative zone, convective zone, photosphere, chromosphere, and corona are the sun's regions, listed in order of increasing radius from the centre out.
The order of these regions is core, radiative zone, convective zone, photosphere, chromosphere, and corona, from smallest to greatest. With temperatures ranging from 10-15 million degrees Celsius, the core of the sun, which is its innermost layer, is also its hottest region.Here, nuclear fusion occurs, transforming hydrogen into helium and liberating a massive amount of energy. Temperatures in the radiative zone, which surrounds the core, range from 1-2 million degrees Celsius. Here is where the core's energy is sent outside the body. It is the convective zone that temperatures here vary from 1-2 million degrees Celsius in the layer underneath the photosphere.Convection is the method used to move hot gas to the surface at this location. The visible layer of the sun is called the photosphere, and it is also its brightest region. Here, the temperature varies between 5,000 and 6,000 degrees Celsius.The chromosphere, which sits on top of the photosphere, has a temperature of 20,000 degrees Celsius, making it significantly hotter than the photosphere. The corona, which is the sun's outermost layer and its hottest region, reaches temperatures of 2-3 million degrees Celsius. This layer, which is made up of hot, ionized gas, is where solar winds originate.To know more about chromosphere
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a child sleds down a steep, snow-covered hill with an acceleration of 2.82m/s squared. if her initial speed is 0.0 m/s and her final speed is 15.5 m/s, how long does it take her to travel from the top of the hill to the bottom?
A child sleds down a steep, snow-covered hill with an acceleration of 2.82m/s squared. if her initial speed is 0.0 m/s and her final speed is 15.5 m/s, It takes the child 5.50 seconds to travel from the top of the hill to the bottom.
We can use the following kinematic equation to solve this problem:
v^2 = u^2 + 2as
Where:
v is the final speed
u is the initial speed
a is the acceleration
s is the distance traveled
We are given u = 0.0 m/s, a = 2.82 m/s^2, and v = 15.5 m/s. We need to find s.
Rearranging the equation gives:
s = (v^2 - u^2) / (2a)
Substituting the values gives:
s = (15.5^2 - 0.0^2) / (2 x 2.82) = 74.47 m
Now, we can use another kinematic equation to find the time taken:
v = u + at
Where t is the time taken.
Substituting the values gives:
15.5 = 0.0 + 2.82t
Solving for t gives:
t = 15.5 / 2.82 = 5.50 seconds
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3. Calculate the electric force that exists between two objects that are 5. 0 x
10-2 m apart and carry charges of 2. 5 x 10-6 C and −3. 2 × 10¯6 C. Is this force
attractive or repulsive?. (1 point)
-6
The electric force between the two objects with charges of 2.5 × 10⁻⁶ C and -3.2 x 10⁻⁶ C and a distance of 5.0 × 10⁻² m is calculated to be -4.608 N, indicating an attractive force between them.
The electric force between two charged objects is given by Coulomb's Law, which states that:
F = kq₁q₂ / r²
where F is the electric force, q₁ and q₂ are the charges of the two objects, r is the distance between them, and k is Coulomb's constant, which has a value of approximately 9.0 × 10⁹ N·m²/C².
Plugging in the given values, we get:
F = (9.0 × 10⁹ N·m²/C²) * (2.5 × 10⁻⁶ C) * (-3.2 × 10⁻⁶ C) / (5.0 × 10⁻² m)²
F = -4.608 N
The negative sign indicates that the force is attractive, meaning that the two objects will be pulled towards each other.
Therefore, the electric force between the two objects is 4.608 N and it is attractive.
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Comlpete question:
Calculate the electric force that exists between two objects that are 5.0 × 10⁻² m apart and carry charges of 2.5 × 10⁻⁶ C and -3.2 x 10⁻⁶ C. Is this force attractive or repulsive?
How can you use the kinetic theory of gases to explain why the pressure of gas increases as the temperature rises?
One can use the kinetic theory of gases to explain why the pressure of gas increases as the temperature rises in the following ways:At the molecular level, gases are made up of a large number of small particles that are in constant motion.
The movement of the gas particles produces kinetic energy. The total kinetic energy of the particles in a gas is proportional to the temperature of the gas.When the temperature of a gas is increased, the kinetic energy of its particles increases as well.
As the particles move faster, they collide more frequently and with greater force. The force exerted by the particles on the walls of the container is the pressure of the gas.In conclusion, as the temperature of the gas increases, the average kinetic energy of the gas particles increases, which in turn leads to more collisions between particles and with the walls of the container. As a result, the pressure of the gas increases.
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A baseball is dropped from the top of a 85 m tall building. Ignoring air resistance, how fast will it hit the ground?
Answer:
40.8 m/s
Explanation:
We can use the kinematic equation that relates the final velocity (Vf) of an object dropped from rest to the distance it has fallen (h) and the acceleration due to gravity (g):
Vf^2 = 2gh
where g is the acceleration due to gravity, which is approximately 9.8 m/s^2.
Plugging in the given values, we get:
Vf^2 = 2 * 9.8 m/s^2 * 85 m
Vf^2 = 1666
Vf = sqrt(1666) ≈ 40.8 m/s
Therefore, the baseball will hit the ground with a speed of approximately 40.8 m/s.
you are running around check 5 km an hour and then you increase your speed to 10 km an hour by what factors did you increase your kinetic
When a student runs at a speed of 5 km/h and then increases his or her speed to 10 km/h, the kinetic energy of the student increases by a factor of four. This is because kinetic energy is proportional to the square of the speed.
The formula for kinetic energy is:
K = 1/2mv²
where K is the kinetic energy, m is the mass of the object and v is the speed.
Since the mass of the student does not change, we can calculate the ratio of kinetic energy at the two speeds as follows:
K₁/K₂ = (1/2)m(v₁²/v₂²)
where v₁ is the initial speed of 5 km/h and v₂ is the final speed of 10 km/h.
K₁/K₂ = (1/2)m(5²/10²) = (1/2)m(1/4) = (1/8)K₂
Therefore, the kinetic energy at the final speed of 10 km/h is four times greater than the kinetic energy at the initial speed of 5 km/h. This means that the student increased their kinetic energy by a factor of four.
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Which is the answer to this question???
The student group that built the strongest electromagnet is (option C) Group 4, because the strength of the electromagnet depends directly on the number of loops, current in the circuit and the presence of a core.
What is electromagnet?An electromagnet is a type of magnet that is created by passing an electric current through a coil or wire. The electric current generates a magnetic field, which can be enhanced by using a magnetic core material, such as iron. Electromagnets can be turned on and off by controlling the flow of electric current through the wire.
They are used in a wide range of applications, from simple devices like doorbells and magnetic locks to more complex technologies like MRI machines and particle accelerators.
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The turntable of a grammaphone record player rotates about a vertical axis with uniform angular velocity of 40 rounds per minute. The friction between the grammaphone record and the turn table causes the record to acelerate uniformly to the angular velocity of the turntable in O.5s.The moment Of inertia of grammaphone record about its axis of rest rotation is 5. 0 x 10^-3kgm. Calculate; 1. The angular velocity of the turntable. 2.The or angular acceleration ot the turntable. 3.The torque on the grammaphone record 4. the rotational kinetic energy. 5. work done by the torque in 0.2s
The angular velocity of the turntable is 4.19 radians/second . The angular accelatation of the turntable is 8.38 radians/second².
The torque on the grammaphone record is 0.0419 Nm. The rotational kinetic energy is 0.0439 J. . The work done by the torque in 0.2 s is 0.00702 J.
How to find the work done?The turntable has a uniform angular velocity of 40 rounds per minute. To convert this to radians per second, we can use the following conversion factors:
1 round = 2π radians (since there are 2π radians in a complete circle)
1 minute = 60 seconds
So, the angular velocity (ω) can be calculated as:
ω = 40 rounds/minute × (2π radians/round) × (1 minute/60 seconds)
ω ≈ 4.19 radians/second
The record accelerates uniformly to the angular velocity of the turntable in 0.5 seconds. Let's denote the angular acceleration as α. We can use the formula:
ω = ω₀ + αt
Plugging in the values, we get:
4.19 = 0 + α(0.5)
α = 4.19 / 0.5
α ≈ 8.38 radians/second²
The moment of inertia of the grammaphone record (I) is given as 5.0 x 10^(-3) kgm². We can use the formula:
τ = Iα
Plugging in the values, we get:
τ = (5.0 x 10^(-3)) x 8.38
τ ≈ 0.0419 Nm
The rotational kinetic energy (K) can be calculated using the formula:
K = 0.5 * I x ω²
Plugging in the values, we get:
K = 0.5 * (5.0 x 10^(-3)) * (4.19)²
K ≈ 0.0439 J
The work done (W) by the torque can be calculated using the formula:
W = τ * θ
Plugging in the values for α and t = 0.2s, we get:
θ ≈ 0.5 * 8.38 * (0.2)²
θ ≈ 0.1676 radians
Now, we can calculate the work done:
W = 0.0419 * 0.1676
W ≈ 0.00702 J
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a solenoid with 385 turns per meter and a diameter of 17 cm has a magnetic flux through its core of magnitude 1.28 x 10-4 t m2. (a) find the current in this solenoid (b) what happens if you double the diameter of the solenoid?
(a) The current in the solenoid is 0.85 A (b) If you double the diameter of the solenoid, the the magnetic flux through the solenoid will increase by 3.19 times. This is because on doubling the diameter, the area of the core will be quadrupled.
(a) The magnetic flux density B inside a solenoid is calculated using the following formula:
B = μ₀nI
Where, B is the magnetic flux density in teslas (T), μ₀ is the permeability of free space = 4π x 10⁻⁷ Tm/A, n is the number of turns per unit length of the solenoid, I is the current in amperes (A)
From the above equation, we can write
I = B/μ₀n
So, the current in the solenoid is given by
I = 1.28 x 10⁻⁴ / (4π x 10⁻⁷ × 385) = 0.85 A
(b) The magnetic flux through a solenoid is given by
Φ = BA
where, A is the cross-sectional area of the solenoid (area of a circle of diameter 17 cm) = πr² = π(17/2)² = 226 cm² = 0.0226 m², B is the magnetic flux density inside the solenoid as calculated above, Φ = 0.85 × 0.0226 = 0.0193 Wb
If we double the diameter of the solenoid, then the cross-sectional area A of the solenoid will be quadrupled because A ∝ d² (where d is the diameter of the solenoid).So, the new area of the solenoid will be
A = π(2r)² = π(2 × 17/2)² = 722 cm² = 0.0722 m²
So, the new magnetic flux through the solenoid will be
Φ' = Φ × (A'/A)Φ' = 0.0193 × (0.0722/0.0226) = 0.0615 Wb
Therefore, if we double the diameter of the solenoid, then the magnetic flux through the solenoid will increase by a factor of (0.0615/0.0193) = 3.19 times.
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falling raindrops frequently develop electric charges. does this create noticeable forces between the droplets? suppose two 1.8 mg drops each have a charge of 29 pc . the centers of the droplets are at the same height and 0.44 cm apart.
When falling, raindrops often develop electric charges, which is accurate. However, these charges are normally quite small, thus they are not likely to create significant forces between the droplets.
What are raindrops? Raindrops are drops of water that fall from the atmosphere, as they grow heavier due to gravity. As they fall, they may accumulate electric charges.
When drops are charged, they can attract one another or repel one another, depending on their relative charges.
What are electric charges? The electric charge is the fundamental property of matter that distinguishes it from other properties such as mass or energy. Objects that have opposite charges attract each other, whereas objects that have the same charge repel each other.
Suppose two 1.8 mg drops each have a charge of 29 pC, and the centers of the droplets are at the same height and 0.44 cm apart. We want to determine whether this creates noticeable forces between the droplets. We can use Coulomb's law to calculate the electric force between the two drops:
[tex]F_{electric} = \frac{kq_1q_2}{r^2}[/tex]
where [tex]k = 9\times10^9 N m^2/C^2[/tex]
k is Coulomb's constant,
q1 and q2 are the charges of the droplets, and
r is the distance between their centers. T
he masses of the droplets aren't essential for this calculation, as they do not affect the electric force much.
From Coulomb's law, F = 1.35 x [tex]10^{-16}[/tex] N.
This force is incredibly small, as expected.
Therefore, it is unlikely that there would be noticeable forces between the droplets due to their electric charges when falling through the air.
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Aaron, Bonny and Connor are playing a game with cards.
Aaron has some cards.
Bonny has twice as many cards as Aaron.
Connor has 6 cards more than Bonny.
They have a total of 101 cards.
Work out how many cards Aaron has.
The number of cards Aaron had are 19 when Aaron, Bonny and Connor are playing a game with cards which are a total of 101.
Given that Aaron, Bonny and Connor are playing a game with cards.
Let the number of cards Aaron had = x
Bonny has twice the cards of Aaron = 2x
Number of cards Connor had are 6 more than Bonny = 2x + 6
The total number of cards = 101
Then by adding the number of cards that Aaron, Bonny and Connor had we get the total number of cards.
Then Aaron cards + Bonny cards + Connor cards = 101
x + 2x + 2x + 6 = 101
5x = 101 - 6 = 95
x = 95/5 = 19
Hence the total number of cards Aaron had = 19
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a uniform electric field points along the x axis. if a stationary electron is placed in this field, in what direction will it be forced to sstart to move?
The electron will be forced to move in the direction of the electric field, which in this case is the positive x-axis direction.
The electric field exerts a force on the electron that is equal to the product of the charge of the electron and the magnitude of the electric field. The force will act to accelerate the electron in the direction of the electric field.
An electron that is stationary will be forced to move in the direction opposite to that of the electric field if it is placed in a uniform electric field that points along the x-axis. The direction of the electric field determines the direction of the force felt by the charged particle.A uniform electric field is one in which the electric field is the same at all points in space. The strength of the electric field, in this case, is independent of the position of the point in space. The electric field is a vector quantity that is directed along the direction of the force experienced by the charged particle that is placed in the field.
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A student is planning on making a change to a circut witch changhe will increase the current
There are several ways to increase the current in an electrical circuit, but it's important to keep in mind that any changes made should be done safely and within the limitations of the circuit components. Here are some possible options:
Decrease resistance: Ohm's Law states that current is directly proportional to voltage and inversely proportional to resistance. Therefore, decreasing resistance in a circuit will increase the current flowing through it. This can be done by replacing a high-resistance component with a lower-resistance one.
Increase voltage: Similarly, increasing the voltage in a circuit will also increase the current, as long as the resistance remains constant. This can be done by connecting a higher voltage power supply or battery to the circuit.
Add parallel branches: Adding more branches to a circuit in parallel can increase the overall current, as each branch provides an additional path for current to flow.
Increase capacitance or inductance: In circuits that contain capacitors or inductors, increasing the capacitance or inductance can increase the amount of current flowing through the circuit.
It's important to note that any changes made to a circuit should be done carefully and with an understanding of the potential risks involved. Seek guidance from a qualified professional if necessary, and always follow proper safety protocols.
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an object is in uniform circular motion. it is traveling at a constant speed. is the net force acting on the object zero? why or why not?
When an object is in uniform circular motion and traveling at a constant speed, the net force acting on the object is not zero.
It is not zero because an object in uniform circular motion is constantly changing direction, even if its speed remains the same. This change in direction requires a force, which is provided by centripetal force. Centripetal force is the force that keeps an object moving in a circular path by pulling it toward the center of the circle.
This force is always directed toward the center of the circle and is perpendicular to the object's velocity. Without this force, the object would continue moving in a straight line.
Thus, the net force acting on an object in uniform circular motion is not zero, but rather is equal to the centripetal force.
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