The position of the particle at t = 10 seconds is approximately 〈1.491, 30〉 meters after all velocity and acceleration calculations.
There is a particle moving in the xy-plane, whose position can be represented as 〈x(t),y(t)〉=〈sin(2t),t^2−t〉 for 0 ≤ t ≤ 8 seconds. We can find its velocity and acceleration vectors using this position vector.
At t = 8 seconds, the particle starts moving in a straight line with the same velocity vector as it had at that time. Therefore, for t ≥ 8 seconds, we can find the position vector of the particle.
To find the position of the particle at t = 10 seconds, we need to substitute t = 10 in the equation of position vector for t ≥ 8 seconds. The position of the particle at t = 10 seconds is approximately 〈1.491, 30〉 meters.
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An ideal gas is compressed isothermally to one-fourth of its initial volume. the resulting pressure will be:________
An ideal gas is compressed isothermally to one-fourth of its initial volume. The resulting pressure will is 4 times the initial pressure.
The equation of state for ideal gases is described below:
P.V. = n. R.T. .........................(1)
Where:
P- Pressure.
V- Volume.
n- Molar quantity, in moles.
R- Ideal gas constant.
T- Temperature
Given that ideal gas is compressed isothermally, this is, temperature remains constant, pressure is increased and volume is decreased, then we can simplify (1) into the following relationship:
P1 V1= P2 V2
If we know that V2/V1 = 1/4 , then the resulting pressure of the system is:
P2 = P1 (V1/V2)
P2 = 4 P1
The resulting pressure is 4 times the initial pressure.
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Which simple machines are used in the tool or device?
The simple machines that are used in the tool or device include all of the following:
Wheel and axle to wheel carry-on luggage.Lever as a see saw.ScrewPulley in flag poles.Inclined planeWedgeWhat is a simple machine?In Science, a simple machine can be defined as a type of machine that is designed and developed with no moving parts, but can be used to perform a specific work.
Additionally, there are six (6) simple machines and these include the following;
Inclined plane.Screw.Wheel and axle.Lever.Wedge.Pulley.Generally speaking, a simple machine allows for the transformation of energy into work.
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Dos masas están conectadas por una cuerda ligera que pasa por una polea sin rozamiento. Determine la aceleración de las masas y la tensión de la cuerda si m Kg A 20 , m Kg B 50 y 0.20 K A Y B
Answer:A
Explanation:
Which statement is true about compounds?
A: They do not form living things.
B: They do not form non-living things.
C: They are when electrons of different atoms combine.
D: They are when atoms of different elements combine.
Answer:
Its D
Merry Christmas!!!!
Explanation:
Also I got this question right I had it for an assignment
Calculate the volume of 500 kilograms
to 2 decimal places
flead if the density of lead is 11400 kg/m². Give your answer
Enter your answer to 2 decimal places
Answer:
d (density) = M / V
V = M / d = 500 kg / (11400 kg / m^2 = .044 m^3
Which of the following statements about this experiment is FALSE?
You may assume the collision between the bob and the box is completely inelastic.
Before each trial one should reshape the bab into something like a ball.
The initial position for the box should be just touching the pendulum bob when it is hanging straight down.
To make the box move, the pendulum bob should hit close to the bottom of the box during the collision.
The statement "before each trial one should reshape the bob into something like a ball" is false regarding the experiment.
If we assume the collision between the bob and the box is completely inelastic, then shape of the bob does not play any role in the time period of the plumb bob or the collision impact of the bob on the box. However the second statement which says that the initial position for the box should be just touching the pendulum bob, is true. This is because then initial position of the bob will become the mean position and we know at the mean position the kinetic energy of the bob is maximum.
For the third statement, the pendulum bob should hit close to the bottom of the box during the collision to make the box move, is also true. This is because the bottom surface experiences the maximum friction force, which can be reduced at maximum amount if bob impact closer to the bottom.
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A mass weighing 4 pounds is attached to a spring whose spring constant is 25 lb/ft. what is the period of simple harmonic motion?
The basic harmonic motion of the mass-spring system lasts for 5.024 seconds.
We have a 16-pound mass that is fastened to a spring with a 25-pound-per-foot spring constant. This entire spring and mass system is moving harmonically.
What is simple harmonic motion?Simple harmonic motion (sometimes referred to as SHM) is a particular type of periodic motion in mechanics and physics in which the restoring force on the moving object is inversely proportional to the magnitude of the object's displacement and acts in the direction of the object's equilibrium position.
The particle's acceleration in a simple harmonic motion is geared toward its mean location and directly proportionate to its displacement. Simple harmonic motion results in the conservation of the particle's total energy. SHM is a cyclical motion.
Simple harmonic motion is demonstrated by bungee jumping. Due to the flexibility of the bungee cord, the jumper is experiencing SHM as it oscillates up and down.
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Part B
What trend do you observe in the Total Energy column at all the positions?
You serve a volleyball with a mass of 0.77 kg. The ball leaves your hand with a velocity of
2.33 m/s. Calculate the joules of kinetic energy of the ball.
\( \boxed{ \mathrm{Kinetic \: Energy = \frac{1}{2} m {v}^{2} }}\)
\( \dfrac{1}{2} \times 0.77 \times (2.33) {}^{2} \)\( \dfrac{418.0253}{2} \)\(209.01265 \: \: joules\)\( \mathrm{209.01 \: \: joules} \: \: \: (approx)\)_____________________________
\(\mathrm{ \#TeeNForeveR}\)
A 20 kg truck drives in a circle of radius 4 m at 10m/s. What causes
the circular motion?
A. Normal Force
B. Friction
C. Tension
D. Gravity
Answer:
Normal force
Explanation:
The force is centipetral forceCalculating :-
Mass=m=20kgRadius=r=4mVelocity=10m/s=vWe know
\(\boxed{\sf F_c=\dfrac{mv^2}{r}}\)
\(\\ \sf\longmapsto F_c=\dfrac{20(10)^2}{4}\)
\(\\ \sf\longmapsto F_c=\dfrac{20(100)}{4}\)
\(\\ \sf\longmapsto F_c=\dfrac{2000}{4}\)
\(\\ \sf\longmapsto F_c=500N\)
n each pair, write the type of wave that has the higher frequency: a. microwaves or infrared waves: b. ultraviolet rays or indigo light: c. red light or radio waves: d. orange light or yellow light:
By studying the electromagnetic spectrum, the waves that have higher frequency/energy are
a) infrared waves > microwaves
b) ultraviolet rays > indigo light
c) red light > radio waves
d) yellow light > orange light
All types of light, even invisible to the human eye light, are described by the electromagnetic spectrum. In actuality, the majority of the light in the cosmos is hidden from human sight. The electromagnetic spectrum is much larger than the light we can see, which is made up of each hue in the rainbow. The parts of the electromagnetic spectrum are referred to as gamma rays, X-rays, ultraviolet radiation, visible light, infrared radiation, microwaves, and radio waves, in that sequence from highest to lowest energy. The highest energy, shortest wavelengths, and highest frequency are found in gamma rays. Contrarily, radio waves are the forms of EM radiation with the lowest energy, longest wavelengths, and lowest frequencies.
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If we place it charge q° at the centre of two same charges which are 2a distance apart so what will be the value of third charge so that the system comes in equilibrium?
The third charge must also be q° for equilibrium to be achieved. The net electric field at the centre due to the two charges will be zero if the magnitude and direction of both charges is equal.
What is equilibrium?Equilibrium is a state of balance where opposing forces are equal. In a state of equilibrium, there is no change in the system. It is a state of balance where the opposing forces are balanced and there is no net movement of the system. Examples of equilibrium include chemical equilibrium, mechanical equilibrium, and economic equilibrium. Chemical equilibrium is the balance between the forward and reverse reactions of a chemical reaction. Mechanical equilibrium is when the sum of all external forces acting on a system is equal to zero. Economic equilibrium is when the supply and demand of a good or service are equal. Equilibrium is essential for all systems to maintain balance, and it is a key concept in all areas of science.
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Hw2b. 8. Position from polar velocity a particle starts at time at the position the velocity of the particle is written in the polar basis associated with its current position, and is: what is the position of at ?
The particle's location vector at time t is given by: r(t) = t³ + t² + 1
As per the question, we have the velocity of the particle in polar coordinates, but we need to find the position of the particle at time t. To do this, we need to integrate the velocity vector to obtain the position vector.
Let's consider the given velocity vector:
v(t) = (3t² + 2t)i + (2t² + 3t)j
To integrate this velocity vector, we need to find the corresponding position vector. Since the velocity vector is given in polar coordinates, we can express it in terms of polar variables:
v(t) = r'(t) + r(t)θ'(t)
where r'(t) and θ'(t) are the radial and angular components of the velocity vector, respectively.
By comparing the given velocity vector with the above equation, we can write:
r'(t) = 3t² + 2t
θ'(t) = (2t²+ 3t)/r(t)
Integrating r'(t) with respect to t, we get:
r(t) = t³ + t² + C
where C is the constant of integration.
To determine the value of C, we need to use the initial condition given in the problem. The particle starts at the position r = 1 and θ = π/4 at time t = 0. This implies:
r(0) = 1
θ(0) = π/4
Substituting these values in the equation for r(t), we get:
1 = 0 + 0 + C
C = 1
Therefore, the position vector of the particle at time t is given by:
r(t) = t³ + t² + 1
To find the value of θ at time t, we integrate θ'(t) with respect to t:
θ(t) = ∫(2t² + 3t)/r(t) dt
= ∫(2t² + 3t)/(t³ + t² + 1) dt
This integral is not trivial to solve analytically. Therefore, the position of the particle at time t can be expressed as:
r(t) = (t³ + t² + 1)i + f(t)j
where f(t) is the solution of the above integral for θ(t).
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a bicycle wheel with mass 44.6 kg and radius 0.260 m has an axle through its center and can rotate without friction. assume that all the mass of the wheel is found in the rim. starting from rest, a constant force 30.5 n is applied tangentially at the rim of the disk (visualize a hand pushing the bicycle wheel to get it spinning, but imagine that the force is applied constantly as the wheel speeds up, causing it to accelerate its rotation).
The force of 30.5 N applied tangentially at the rim of the bicycle wheel with a mass of 44.6 kg and a radius of 0.260 m will result in an acceleration of approximately 0.687 m/s².
The torque, or turning force, applied to the bicycle wheel is equal to the force applied at the rim multiplied by the radius of the wheel, according to the equation τ = Fr, where τ is the torque, F is the force, and r is the radius. In this case, F = 30.5 N and r = 0.260 m.
The moment of inertia, which measures the resistance of the wheel to rotational motion, is given by the equation I = ½mr², where m is the mass of the wheel and r is the radius. In this case, m = 44.6 kg and r = 0.260 m.
Using the torque and moment of inertia, we can apply Newton's second law for rotational motion, which states that τ = Iα, where α is the angular acceleration. Substituting the values we have, we get Fr = ½mr²α.
Rearranging the equation to solve for α, we get α = (2Fr) / (mr²). Plugging in the given values for F, m, and r, we can calculate α as follows:
α = (2 * 30.5 N * 0.260 m) / (44.6 kg * (0.260 m)²)
α ≈ 0.687 m/s²
Therefore, the acceleration of the bicycle wheel's rotation due to the applied force is approximately 0.687 m/s².
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What happens when two continental plates meet ?
A One will be heavier and subduct
B They will crash into each other and form mountains
C They will begin to move apart
D One plate will be scared and start crying
Answer:
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Explanation:
Answer:
option B is correct answer of this question
they will crash into each other and form mountains
hope it helps
A light source simultaneously emits photons with two energies, 2. 2 eV and 3. 2 eV. The intensity of the lower-frequency component of the light is twice that of the higher-frequency component. The light source illuminates a metal with a work function of 1. 8 eV. What will be the maximum kinetic energy of the photoelectrons, in electron volts?
The maximum kinetic energy of the photoelectrons is proportional to the intensity of the incident light, with a proportionality constant of 0.61 eV.
The maximum kinetic energy of photoelectrons can be calculated using the equation:
\($K_{max} = h\nu - \phi$\)
where \($h$\) is Planck's constant,\($\nu$\) is the frequency of the incident light, and \($\phi$\) is the work function of the metal. Since we are given the energies of the photons, we can use the relation \($E = h\nu$\) to find the frequencies.
The energies of the photons are:
\(E_1 = 2.2$ eV\)
\(E_2 = 3.2$ eV\)
The corresponding frequencies are:
\($\nu_1 = \frac{E_1}{h} = \frac{2.2 \text{ eV}}{4.14 \times 10^{-15} \text{ eV s}} \approx 5.31 \times 10^{14} \text{ Hz}$\)
\($\nu_2 = \frac{E_2}{h} = \frac{3.2 \text{ eV}}{4.14 \times 10^{-15} \text{ eV s}} \approx 7.74 \times 10^{14} \text{ Hz}$\)
Since the intensity of the lower-frequency component is twice that of the higher-frequency component, we can calculate the total intensity \($I$\) as:
\($I = 2I_1 + I_2$\)
where \($I_1$\) is the intensity of the lower-frequency component and \($I_2$\) is the intensity of the higher-frequency component.
Since energy is proportional to frequency, we can write:
\($I_1 = 2I_2$\)
\($E_1 I_1 + E_2 I_2 = I$\)
Substituting the values, we get:
\($2.2 \text{ eV} \times 2I_2 + 3.2 \text{ eV} \times I_2 = I$\)
\($8.6 \text{ eV} \times I_2 = I$\)
\($I_2 = \frac{1}{9.6} I$\)
\($I_1 = \frac{2}{9.6} I$\)
The total intensity is not given, but we don't need it to calculate \(K_{max}$.\)
Now we can calculate \($K_{max}$\)
\($K_{max} = h\nu_2 - \phi$\)
\($K_{max} = (6.626 \times 10^{-34} \text{ J s}) (7.74 \times 10^{14} \text{ Hz}) - (1.8 \text{ eV})$\)
\($K_{max} \approx 1.67 \text{ eV}$\)
Therefore, the maximum kinetic energy of the photoelectrons is approximately 1.67 eV.
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Mia is holding a 20 N weight without moving. How much work is she doing?
the power required to operate the logic circuits of the processor unit is typically
The power required to operate the logic circuits of the processor unit is typically dependent on the clock frequency, the number of transistors and other components, and the efficiency of the power supply used in the system.
The power required to operate the logic circuits of the processor unit is primarily due to the operation of the transistors. The processor's transistor count has risen significantly with time to offer a greater processing capability, leading to more power usage. To optimize performance, processors' clock frequencies have also been raised, increasing power usage even more.
The development of processors and their efficiency has improved significantly over time, with the goal of achieving higher performance with lower power usage. So, to answer your question, the power required to operate the logic circuits of the processor unit is typically dependent on the clock frequency, the number of transistors and other components, and the efficiency of the power supply used in the system.
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if available power is 208v three phase, and the control voltage is wired phase to ground, what is the control voltage
if available power is 208v three phase, and the control voltage is wired phase to ground, the control voltage, when wired phase to ground, would be approximately 120 volts.
In a three-phase electrical system with a line-to-line voltage of 208 volts, the control voltage is typically derived from the available three-phase power supply. For control circuits, the control voltage is often chosen as a lower voltage level for safety and compatibility with control devices. When the control voltage is wired phase to ground, it means that the control voltage is obtained by connecting one phase of the three-phase power supply to ground. In such a configuration, the control voltage is the line-to-ground voltage of a single phase.
In a three-phase system, the line-to-line voltage (208 volts) is higher than the line-to-ground voltage. The line-to-ground voltage is equal to the line-to-line voltage divided by the square root of 3 (approximately 1.732). Therefore, in this case, the control voltage, when wired phase to ground, would be approximately 120 volts.
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if an astronaut throws a ball in space with the initial velocity of 3.0 meters per second to the west, what will the ball's velocity be in a year?
In a vacuum, the velocity of an object thrown in space remains constant unless acted upon by an external force. Thus, the ball's velocity will still be 3.0 meters per second to the west after a year.
In the absence of external forces, the velocity of an object remains constant according to the law of conservation of momentum. This applies to objects in space, where there is no friction or air resistance to slow it down. Therefore, if an astronaut throws a ball with an initial velocity of 3.0 meters per second to the west, it will continue to move in that direction with the same velocity, 3.0 meters per second, one year later. This is assuming no other external forces, such as gravitational forces from nearby celestial bodies, are acting upon the ball.
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At which position, A or B, is the potential energy of the swing the greatest? As the swing moves from point B to point A, which form of energy is increasing, kinetic or potential?
Answer:
a) Ua> Ub, b) Em = K + U
Explanation:
A swing is an oscillatory system, which goes from the highest point of the trajectory to the lowest point and then continues to the highest point on the other side, with a curved trajectory.
Suppose point A is the highest point and point A the lowest point, as the potential energy is given by the formula
U = m g h
if we define a reference system where the lowest point corresponds to y = or at this point the power energy is zero, therefore
Ua> Ub
in this movement the mechanical or total energy of the system remains constant, therefore it can be written
Em = K + U
therefore at the highest point the mechanical energy is only potential and at the lowest point it is only kinetic and at the intermediate points it has a part of each, but the value of the mechanical energy is constant and does not change.
Answer:
At which position, A or B, is the potential energy of the swing the greatest?
b
As the swing moves from point B to point A, which form of energy is increasing, kinetic or potential?
kinetic
Explanation:
Suppose an isolated magnetic North pole is discovered and dropped through this setup (magnet through a coil experiment). Describe the
voltage pattern by giving a crude sketch of the voltage as a function of time.
During time interval t2, the voltage is decreasing from the maximum value to 0, as the magnetic flux linkage with the coil is reduced.
When an isolated magnetic North pole is discovered and dropped through the set-up (magnet through a coil experiment), there is a change in magnetic flux linkage within the coil. Therefore, the induced electromotive force (EMF) will cause a voltage pattern to form.The Faraday's Law of Electromagnetic Induction states that when there is a change in magnetic flux linkage within a coil, an EMF is induced in the coil.
In this scenario, the magnetic flux linkage increases as the magnetic North pole enters the coil and decreases when it exits the coil, which will result in a change in the direction of the induced EMF within the coil.The voltage pattern obtained from the experiment depends on the rate at which the magnetic North pole is dropped through the set-up and the number of turns of the coil.
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2. Jeremy throws a discus at the track and field competition. He throws it with an upward speed of 10
m/s and a horizontal speed of 35 m/s. Calculate how far Jeremy throws the discus. (Hint: figure out
the time of the throw first).
Answer:
gburhgjn
Explanation:
hrbvufv
What work is done when a person lifts a 1.6 kg package and places it on a shelf 2.4m high?
Answer:
Explanation:
Work is the dot product of force and distance
\(W = F*d=Fd*\cos(theta)\)
The only force acting on this box is the force of gravity (weight) which is mass*gravity
F = (1.6)(9.8) = 15.68N
The angle is the angle between the force and distance. In this case it is zero, therefore cos(Ф) = 1
\(W=15.68*2.4=37.6J\)
Tony will run at least 26 miles this week. So far, he has run 17 miles. What are the possible numbers of additional miles he will run
Tony will run at least 9 additional miles to meet the requirement of running at least 26 miles this week. The possible numbers of additional miles he can run are 9 or any value greater than 9.
To determine the possible numbers of additional miles Tony will run, we need to find the range of values that satisfy the condition "Tony will run at least 26 miles this week" given that he has already run 17 miles.
Let's denote the additional miles Tony will run as "x." According to the given information, we have the following inequality:
17 + x ≥ 26
To find the range of values for x, we can solve this inequality:
x ≥ 26 - 17
x ≥ 9
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Why can we hear sounds outside of a door when music is playing on the inside?
Light striking a metal surface causes electrons to be emitted from the metal via the photoelectric effect.
The intensity of the incident light and the temperature of the metal are held constant. Assuming that the initial light incident on the metal surface causes electrons to be ejected from the metal, what happens if the frequency of the incident light is increased?
If the frequency of the incident light on a metal surface is increased while keeping the intensity and temperature constant, the kinetic energy of the emitted electrons will increase.
The photoelectric effect states that when light of sufficient frequency (above the threshold frequency) strikes a metal surface, electrons are emitted. The energy of a photon is given by the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency of the light.
The energy of the emitted electron is equal to the energy of the incident photon minus the work function of the metal (Φ), which represents the energy required to remove an electron from the metal surface. So, the equation becomes E = hf - Φ.
As the frequency of the incident light increases, the energy of each photon increases. Therefore, the kinetic energy of the emitted electrons will increase as well.
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Write down whether quantity of potential kinetic and total energy
Potential energy is the power that a thing possesses as a result of where it is in relation to other objects.
What is Potential energy?The earth can pull you down through the force of gravity while doing work in the process, being at the top of a stairwell gives you more potential energy than standing at the bottom.
Two magnets have more potential energy when they are held apart than when they are near to one another. They will migrate near each other and begin working if you let them go.
The force acting on the two objects affects the potential energy formula. P.E. = mgh, where m is the mass in kilograms and g is the acceleration due to gravity, is the formula for gravitational force.
Therefore, Potential energy is the power that a thing possesses as a result of where it is in relation to other objects.
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how many mg does a 433 kg sample contain? a) 4.33 × 10-4 mg b) 4.33 × 107 mg c) 4.33 × 10-3 mg d) 4.33 × 106 mg e) 4.33 × 108 mg
Given, the mass of the sample = 433 kg. We need to find the mass of the sample in milligrams (mg).
1 kilogram (kg) = 1,000,000 milligrams (mg)
Therefore,
Mass of the sample in mg = 433 × 1,000,000 mg = 4.33 × 10^8 mg.Hence, the answer is an option (e) 4.33 × 10^8 mg.
The conversion factor between kilograms and milligrams is 1 kg = 1,000,000 mg. Therefore, to convert the mass of the sample from kilograms to milligrams, we simply multiply it by 1,000,000.
433 kg × 1,000,000 mg/kg = 433,000,000 mg
To express the result in scientific notation, we write it as 4.33 × 10^8 mg.
Option (e) is the correct answer.
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T/F Assuming the same velocity at take-off, with the exception of a take-off angle of 45 degrees, there are two take-off angles that will give identical range.
The given statement is true. Assuming the same velocity at take-off, with the exception of a take-off angle of 45 degrees, there are two take-off angles that will give identical range.
These two take off angles are complementary angles, which means their sum equals 90 degrees. If one angle is θ, the other angle will be (90 - θ). This is because the range of a projectile is determined by both its initial velocity and launch angle, and the range equation has a sine function, which exhibits symmetry for complementary angles.Hence, there are two take-off angles that will give identical range.
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