The shot was released at a height of 2.20 m, and he is 1.80 m tall t ac=2.66s is long is he have to get out of the way.
What is velocity?
When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.
Therefore,
a very strong, but inept, shot putter puts the shot straight up vertically with an initial velocity of 11.0 m/s. how long does he have to get out of the way if the shot was released at a height of 2.20 m, and he is 1.80 m tall?
t AC=2.66s
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A delivery truck travels 18 blocks north, 10 blocks east, and 16 blacks south What is the
distance traveled and displacement? Assume all blocks are the same length
Force Unit
Answer:
Traveled north = 18 blocks
Traveled east = 10 blocks
Traveled south = 16 blocks
So total distance = (18+10+16) blocks = 44 blocks
as north and south are opposite
so traveled displacement from up to down is = (18-16) blocks = 2 blocks
and starting to east distance is 10 blocks
so using pythagoras theorem the displacement
= \(\sqrt{10^{2}+2^{2} }\) blocks
= \(\sqrt{104}\) blocks
= \(2\sqrt{26}\) blocks
= 10.198 blocks (approx.)
ANS: distance=44 blocks, displacement=10.198 blocks (approx.)
Explanation:
Which of the following best distinguishes the relationship between applied research and basic research?
A Applied research commercializes the discoveries of basic research and brings them to the general public.
B Basic research takes place in academia, and complex research takes place in industry.
C Basic research provides fundamental knowledge that can be used to conduct applied research.
D Applied research is not published for peer review, but basic research must be.
Answer:
C. Basic research provides fundamental knowledge that can be used to conduct applied research.
Explanation:
Applied research is used to solve practical and specific problems. Basic research is used to advance theories and scientific knowledge; it might not result in an invention or a solution, but can be used to gain knowledge about a specific subject.
If your friend was on a skateboard and you pushed them with forward (away from your) with a force of 15N, would you feel a force? If so, how much and what direction? *
Yes. you would feel a force 20 N towards backward direction due to this.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
"When one body exerts a force on the other body, the first body experiences a force that is equal in size in the opposite direction of the force which is exerted," according to Newton's third law of motion.
Hence, according to Newton's third law of motion, when you pushed them with forward (away from your) with a force of 15N, you would feel a force of equal magnitude (20 N) in opposite direction (backward direction).
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Josh tests an unknown liquid substance using litmus paper. When he compared the used litmus paper to a pH scale, the color matches with a 3.5 of the scale. What kind of substance did Josh test?
Answer:
acid
Explanation:
because ph below 7 is acid
AJUTOR VA ROG LA FIZICA IMI TREBUIE NOTA!!!!!!!!!!
Answer:
gkcfgggxg hhfdc ghgffgccvvc
bjvhgf
Explanation:
gjhghujj bhhgghj
b. Explain the role of each block and tackle in a combined pulley to make our work easier.
For the purpose of lifting heavy loads, a block and tackle pulley system consists of two or more pulleys connected by rope or cable. These pulleys are put in a block configuration and connected so that one pulley is stationary and moves with a load.
Threading the rope through the pulley, which increases the force applied to the rope, provides mechanical advantage. Usually, heavy lifting or applying a lot of force in either direction requires the employment of these pulleys.
Examples of block and tackle pulleys are shown below.
Step pulley
This can be thought of as a collection of pulleys. With pulleys of various diameters fixed in order, pulley faces are converted into step pulleys. It is known as a step pulley because of the way it is constructed.
“V” Groove Pulley
This pulley's face has a groove cut into it that resembles the English letter "V." Both electric motors and cars use it. These pulleys utilize a unique "V"-shaped belt. More than one "V" groove may be cut in some pulleys.
These pulley types are utilized for heavy duty power transfer. Less power slippage is possible when many "V" belts are being used.
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Hierarchy of the universe this is due today pls help me
Answer:
what is the question.
Explanation:
How much work must be done on a particle with a mass of m to accelerate it from rest to a speed of 0.091 c
The amount of work that must be done on the particle with mass m to accelerate it from rest to a speed of 0.091c is 0.004188 times the rest energy (mc²) of the particle.
To calculate the work required to accelerate a particle from rest to a speed of 0.091c (where c is the speed of light), we can use the principles of relativistic kinetic energy.
The relativistic kinetic energy of a particle is given by the equation:
KE = (γ - 1) * mc²,
where:
KE is the kinetic energy,
γ is the Lorentz factor, given by γ = 1 / √(1 - (v/c)²),
m is the mass of the particle,
c is the speed of light.
In this case, the particle starts from rest, so its initial kinetic energy is zero. We need to find the work done to accelerate the particle to a speed of 0.091c, which corresponds to the final kinetic energy.
First, let's calculate the Lorentz factor:
γ = 1 / √(1 - (0.091c/c)²) = 1 / √(1 - 0.008281) = 1 / √0.991719 = 1 / 0.995841 ≈ 1.004188.
Now, we can calculate the final kinetic energy:
KE = (γ - 1) * mc² = (1.004188 - 1) * mc² = 0.004188 * mc².
The work done to accelerate the particle is equal to the change in kinetic energy. Since the initial kinetic energy is zero, the work done is equal to the final kinetic energy:
Work = 0.004188 * mc².
Therefore, the amount of work that must be done on the particle with mass m to accelerate it from rest to a speed of 0.091c is 0.004188 times the rest energy (mc²) of the particle.
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I have a circuit with a 200 V battery which produces 150 W of power. What is the
current in the circuit?
Explanation:
0.75
According to the formula, P=IV
150 = I×200
A car is driving east at 120. km/h from Toronto to Ottawa. The distance between the two cities is 425.5 km, how long will it take for the driver to reach Ottawa?
Answer:
The time it will take for the driver to reach Ottawa is 3 hours 32 minutes and 45 seconds
Explanation:
The given parameters are;
Speed of the car = 120 km/h
Distance from Toronto to Ottawa = 425.5 km
The formula for speed is given as follows;
Speed = Distance/Time
Therefore, to find the time duration it takes from Toronto to Ottawa, we have;
Time duration = Distance from Toronto to Ottawa/(Speed of the car)
The time duration = 425.5/120 = 3.54583 hours = 212.75 min = 12765 seconds
The time it takes from Toronto to Ottawa while driving at 425.5 km/h = 12765 seconds.
The tissue slice being imaged by a parallel beam x-ray CT scanner is
f(x,y)=rect(x/3,y+1/2)+rect(x,y).
(a) Assume the detector is a point detector. Sketch the projection g(l,theta) as a function of l, for theta=0, 45, 90, and 135 degrees, respectively. You should indicate the magnitudes of the projected values where necessary on your sketch.
(b) Sketch the image obtained by backprojections from both 0 and 90 degree projections. You
should normalize your back-projection using the dimension of the imaged region as indicated on
the figure.
(c) What will be the projected function for theta=0 if the detector is an area detector with width 0.1 cm. Sketch the projected function.
(d) Determine the Fourier transform of the original image along a line with orientation theta=45, and 90 degree.
The Fourier transform of the original image along a line with orientation θ = 45 degrees and 90 degrees are F{f(x, y) cos θx + sin θy} and F{f(x, y)}, respectively.
(a)When the tissue slice being imaged by a parallel beam x-ray CT scanner is f(x, y) = rect(x/3, y+1/2) + rect(x, y), and the detector is a point detector, the projection g(l, θ) as a function of l, for θ = 0, 45, 90, and 135 degrees, respectively can be sketched as follows. For θ = 0 degrees, the projection is shown below.
For θ = 45 degrees, the projection is shown below. For θ = 90 degrees, the projection is shown below.
For θ = 135 degrees, the projection is shown below.
(b) When the back-projection is carried out from both 0 and 90 degree projections and normalized using the dimension of the imaged region as indicated on the figure, the image obtained can be sketched as follows.
(c) If the detector is an area detector with a width of 0.1 cm, the projected function for θ = 0 will be obtained by convolving the function with a rectangular pulse of width 0.1 cm as shown below.
(d) The Fourier transform of the original image along a line with orientation θ = 45 degrees is shown below. The Fourier transform of the original image along a line with orientation θ = 90 degrees is shown below.
Therefore, the Fourier transform of the original image along a line with orientation θ = 45 degrees and 90 degrees are F{f(x, y) cos θx + sin θy} and F{f(x, y)}, respectively.
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A red bouncy ball is dropped from 10 meters high. As it fails a wind is blowing horizontal at the speed of 15 m/s. How far horizontally will the ball hit from the point at which it was dropped? Please round to 1 decimal place. You will enter in units of meters but NUMBER ONLY.
PLEASE HELPPPPP 1 gal 4 qt and 1 quart 0.946 l. how many liters are in a gallon a 1.06L b 3.78 L c 4.23 L d 4.95 L
Answer: b. 3.78
Explanation:
Many bugs can reproduce both sexually and asexually. When would asexual reproduction be
advantage for these bugs? *
Answer:
try this
Sexual reproduction produces more offspring than asexual reproduction.
Asexual reproduction is a simpler process than sexual reproduction.
Sexual reproduction requires a single parent.
Asexual reproduction occurs when two gametes fuse.
Explanation:
the total charge on each plate and the separation between the plated is held constant while the area of each plate is doubled. what happens to the electric field between the plates, the potential difference across the plates, ad the stored energy in the capacitor
When the area of each plate is doubled while keeping the charge and separation constant, the electric field decreases, the potential difference remains the same, and the stored energy in the capacitor increases four times.
When the area of each plate of a capacitor is doubled while keeping the total charge on each plate and the separation between the plates constant, the following changes occur:
1. Electric Field: The electric field between the plates decreases. The electric field (E) between the plates of a capacitor is inversely proportional to the area (A) of the plates. As the area is doubled, the electric field is halved, assuming the other factors remain constant.
2. Potential Difference: The potential difference (V) across the plates remains the same. The potential difference across the plates of a capacitor depends on the charge (Q) and the capacitance (C), which is determined by the geometric and material properties of the capacitor. Since the total charge and separation between the plates are held constant, the potential difference remains unchanged.
3. Stored Energy: The stored energy in the capacitor increases four times. The energy stored in a capacitor (U) is directly proportional to the area of the plates (A). When the area is doubled, the stored energy is quadrupled (increases by a factor of four).
Therefore, when the area of each plate is doubled while keeping the charge and separation constant, the electric field decreases, the potential difference remains the same, and the stored energy in the capacitor increases four times.
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who is american inventor created a way to send an electric current through a wire as a series of dots and dashes. by 1844, the inventor had created his own form of coded communication that is still used by the military today.
The telegraph, which Samuel Morse and other innovators created in the 1830s and 1840s, radically changed long-distance communication. Through the use of a wire positioned between stations, electrical signals were transmitted.
What types of electrical signals are there?The most often used periodic signals include sine wave, sine wave, triangular waveforms, square waveforms, rectangle waveforms, saw-tooth waveforms, pulse waveforms or pulse trains, among others.
What use do electrical signals serve?Action potentials, which carry information of one neuron to the next, are electrical signals. Neurotransmitters, which carry information from one cell to the next, are chemical signals.
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Who was the highest deity in the Shang religion?
A.
Di
B.
Laozi
C.
Shihuangdi
D.
Confucius
Answer:
Shangdi or A: Di
Explanation:
Shangdi was considered to be the supreme deity during the Shang dynasty (1600–1046 century BCE), but during the Zhou dynasty (1046–256 BCE) he was gradually supplanted by heaven (tian).
A steel factory is expected to have an annual maximum load of 120MW, and the LF of 0.85 A power plant (PP) constructed to supply this load have the following characteristics: - PP Installed capacity: 140MW I/O curve: 80+6P+0.009P
2
MBTU/h Capital cost =2400SR/kW, Annual Fixed charge rate (FCR)=11%, Annual O\&M cost =45MSR/ year, fuel price =8SR/MBTU. Find out: a. The cost of producing a unit of energy (H/kWh). b. The load at which maximum efficiency occurs. c. The increase in input required to increase the output from 60MW to 90MW.
The cost of energy production is X SR/kWh. Maximum efficiency occurs at Y MW load. To increase output from 60MW to 90MW, Z MW additional input is needed.
a. To find the cost of producing a unit of energy (H/kWh), we need to calculate the operating cost per unit of energy produced by the power plant. The operating cost per unit of energy can be determined by dividing the total cost (including fixed and variable costs) by the total energy output. The total cost consists of the annual fixed charges and the annual operating and maintenance cost.
First, let's calculate the fixed charges per year:
Fixed charges = Installed capacity × Capital cost × FCR
Fixed charges = 140 MW × 2400 SR/kW × 11%
Fixed charges = 369,600 SR/year
Next, let's calculate the variable cost per year:
The variable cost is based on the fuel price and the energy output. The energy output can be determined by integrating the I/O curve equation, where P represents the power output of the power plant. We'll integrate the equation over the desired output range, from 0 MW to the maximum load of 120 MW.
Variable cost = ∫[0, P] (80 + 6P + 0.009P^2) dP
Variable cost = [80P + 3P^2 + 0.003P^3/3] evaluated from 0 to P
Variable cost = 80P + 3P^2 + 0.003P^3/3
Now, we can calculate the total cost per year:
Total cost = Fixed charges + Annual O&M cost + Variable cost
Total cost = 369,600 SR/year + 45,000,000 SR/year + (80P + 3P^2 + 0.003P^3/3)
To find the cost of producing a unit of energy, we divide the total cost by the total energy output:
H/kWh = Total cost / Total energy output
b. To determine the load at which maximum efficiency occurs, we need to find the point on the I/O curve where the slope is zero. This can be achieved by taking the derivative of the I/O curve equation with respect to P and setting it equal to zero.
d(I/O curve)/dP = 6 + 0.018P = 0
P = -6 / 0.018
P = -333.33 MW
Since a negative power output is not physically meaningful in this context, we can ignore this result. Therefore, there is no load at which maximum efficiency occurs within the given constraints.
c. To calculate the increase in input required to increase the output from 60 MW to 90 MW, we need to find the difference between the inputs required at these two output levels.
Input required at 60 MW: P1 = 60 MW
Input required at 90 MW: P2 = 90 MW
Increase in input = P2 - P1
Therefore, the increase in input required to increase the output from 60 MW to 90 MW is 90 MW - 60 MW = 30 MW.
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how does political parties connect to citizens to the government
Political parties connect citizens to the government by representing their interests, providing a platform for their voices, and presenting policy solutions to government officials.
Political parties connect citizens to the government by representing their interests and values, advocating for policies that align with those interests and values, and mobilizing voters to participate in the political process through elections and other forms of civic engagement. Through their platforms and campaigns, political parties provide a framework for citizens to engage with and influence the government, by offering a clear set of goals and policy proposals that reflect the needs and concerns of the electorate.
Additionally, political parties serve as a means of accountability for the government, by monitoring the actions of elected officials and holding them responsible for their decisions and actions. Ultimately, political parties provide a vital link between citizens and the government, ensuring that the voices and interests of the people are heard and represented in the halls of power.
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A force of 900 N is applied to a 9kg object. How fast will it accelerate?
Given :
Force = 900 NMass = 9kg\( \\ \)
To find :
Acceleration = ?\( \\ \)
We know :
\( \boxed{ \rm Force=Mass\times Acceleration}\)
By using this formula we can find acceleration.
\( \dashrightarrow \sf Force=Mass\times Acceleration \\ \)
\( \\ \)
\( \dashrightarrow \sf900=9\times Acceleration \\ \)
\( \\ \)
\( \dashrightarrow \sf900 \times \dfrac{1}{9} =Acceleration \\ \)
\( \\ \)
\( \dashrightarrow \sf \cancel9 \times 100 \times \dfrac{1}{ \cancel9} =Acceleration \\ \)
\( \\ \)
\( \dashrightarrow \sf \dfrac{100}{1} =Acceleration \\ \)
\( \\ \)
\( \dashrightarrow \sf Acceleration = \dfrac{100}{1} \\ \)
\( \\ \)
\( \dashrightarrow \bf Acceleration = 100\: ms^{-2}\)
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
Related Concept :
Define Acceleration:
Acceleration is the rate by which velocity changes with respect to timeMain formula :-
a = (Vf - Vi)/t
where :-
Vf is final velocityVi is initial velocityt is timeDefine Force :
Force is a push or pull that changes or may tends to change an object from rest to motion or from motion to rest.Main formula:
f = m × a
where :-
m is massa is accelerationf is forceDefine Mass :
The amount of matter present in bodyMain formula:
m = v × d
where:-
m is massv is volumed is densityDo I fill out this chart right? Can you please check my work? Maybe I have some mistakes
ANSWER
EXPLANATION
Ice is the solid state of water - think about ice cubes you'd use to cool a soda, they are in solid state.
Water at room temperature is always liquid - remember that 'room temperature' is about 25°C.
in the absence of air resistance, a ballplayer tosses a ball straight up. by how much does the speed of the ball decrease each second while it is ascending?
In the absence of air resistance, the speed of the ball decreases by 9.8 meters per second (m/s) each second while it is ascending.
In the absence of air resistance, the only force acting on the ball while it is ascending is the force due to gravity. This force causes the ball to decelerate as it moves upward. The acceleration due to gravity on Earth is approximately 9.8 m/s².
Since the acceleration due to gravity is constant, the speed of the ball decreases by 9.8 meters per second (m/s) every second while it is ascending. This means that the speed decreases by 9.8 m/s after 1 second, 19.6 m/s after 2 seconds, 29.4 m/s after 3 seconds, and so on.
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base your answer to the question on the information given. a 1,000-kilogram car traveling with a velocity of 20 meters per second decelerates uniformly at -5.0 meters per second^2 until it comes to rest. what is the total distance the car travels as it decelerates to rest?
Answer:
40 meters
Explanation:
To solve this, we will use the motion formula \(v^{2} =u^{2} +2as\), where v is the final speed, u is the initial speed, a is the acceleration, and s is the distance. We know:
u= 20m/s
a= - 5m/s^2 (note the minus sign because we are decelerating)
v= 0m/s (our final speed will be 0 because we want to come to a stop)
Now plug in these values into the formula:
\(v^{2} =u^{2} +2as\)
\(0^{2} =20^{2} +2(-5)s\)
\(0 =400-10s\)
\(10s=400\)
\(s=40\\\)
While investigating the relationship between voltage, current, and resistance, students connected different batteries to different circuits
and recorded measurements of battery voltage and current flowing through the battery. They then produced the model shown below.
Based on the data provided in the graphical model, what claim can be made about the resistance of the circuit?
A._The resistance of the circuits increased as battery voltage increased.
B._ The resistance of the circuits decreased as a battery voltage increased.
C._ The resistance of the circuits remained constant as the battery voltage increased.
D._ The resistance of the circuits could have either increased or decreased as the battery voltage increased.
Produced the model is the resistance of the circuits decreased as a battery voltage increased (option-B).
What connection does there exist between voltage and current, current and resistance, and voltage and resistance?Ohm's Law describes how current, voltage, and resistance are related to one another. According to this, as long as the temperature doesn't change, the current flowing through a circuit is directly proportional to the applied voltage and inversely proportional to the resistance of the circuit.
The more work a certain quantity of electrons can accomplish at a given voltage. The quantity of electrons that are presently moving through any one point in a circuit at any particular time is known as the current. At the same voltage, a larger current can perform more work. Current times voltage equals power.
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Answer:
b
Explanation:
the resultant capacitance of four capacitorconnected in series is --------the smalest individual capacitance
Answer:
This question is misleading since
1/C = 1/C1 + 1/C2 + 1/C3 + 1/C4
so it would have to be less than the smallest individual capacitance
The biological levels of organization range from a single organelle all the way up to the biosphere in a highly structured hierarchy. Your lab partner is struggling to understand the interaction between the levels in the biological hierarchy. Using the model, what explanations can your offer to help your classmate? Choose ALL that apply.
A) R makes up Q which makes up P which makes up S.
B) Cells that work together make up tissues, which comprise organs.
C) Similar cells working together make up organs which make up organ systems.
D) In the model, the animal cells make up tissues such as muscle or connective tissue.
E) Organs, such as the stomach and intestines, make up organ systems which interact with one another to maintain homeostasis.
The model that depicts the concept of biological levels of an organization which is ranging from single organelle to biosphere is explained by all the options given except for options A and C.
Biology is specifically the study that deals with various forms of life. Since life is considered a vast topic, scientists classified this broad system into different organizational levels for better understanding.
The Biological levels of the organization are described as follows:
The biological level of organization of any living form is depicted and arranged from the simplest forms to the complex ones and thus, the order tends to start from organelles to the biosphere. The elaborated levels are in ascending order as organelles, cells, tissues, organs, organ systems, organisms, populations, communities, ecosystem, and biosphere respectively. Each level tends to combine with one another to give rise to the next level. One such example is that the cells that tend to work together make up the tissues, which further comprise the organs. Similarly, organ systems are formed by the interaction between certain organs in order to maintain homeostasis.
Considering all these facts, option C represents the statement that is incorrect as the cells cannot directly form organs without forming tissues and the letters in option A is not specific. And thus, we can conclude that except for options A and C, all the other options correctly depict the model of the Biological levels of the organization.
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Raul started out on his bike thirty meters to the south of my position. Five
seconds later, he was twenty meters to the north. How fast is Raul biking. Write
an equation to find his displacement, x, from the time, t. If he keeps going at the
same rate, where will he be one minute (sixty seconds from) when he started?
Answer:
Let's define the North as the positive y-axis.
At t = 0s (t is the variable of time) we know that Raul is 30m at the South, so in our system, the position of Raul at t = 0s is:
p(0s) = -30m
After 5 seconds, at the time t = 5s, we know that the position of Raul is 20m at the North, so now the position is:
p(5s) = 20m.
a) First, speed is calculated as distance over time, or:
S = ( p(5s) - p(0s))/5s = (20m - (-30m))/5s = 50m/5s = 10m/s.
b) The displacement is defined as the difference between the final position and the initial position:
Displacement = p(5s) - p(0s) = 20m - (-30m) = 50m.
Now, knowing the speed is 10m/s, we can write the movement equation as:
p(t) = 10m/s*t + p(0s) = 10m/s*t - 30m
So the displacement at a time t is:
D = p(t) - p0s = 10m/s*t - 30m - (-30m) = 10m/s*t
c) the position one minute after he started will be:
p(1min)
But we have our equation in seconds, so we write 1min = 60s
p(60s) = 10m/s*60s - 30m = 600m - 30m = 570m
Find the Energy of a Photon with wavelength 400nm = a. 2.9eV b. 03.1eV c, 9eV d 7.2eV
The energy of a photon with a wavelength of 400 nm is approximately 3.1 eV.
Hence, the correct option is B.
To find the energy of a photon, we can use the equation:
E = hc/λ
Where:
E is the energy of the photon,
h is the Planck's constant (6.626 x 1\(0^{-34}\) J·s),
c is the speed of light (3.00 x 1\(0^{8}\) m/s), and
λ is the wavelength of the photon.
Given a wavelength of 400 nm, we first need to convert it to meters:
λ = 400 nm = 400 x 1\(0^{-9}\) m
Now, we can calculate the energy of the photon:
E = (6.626 x 1\(0^{-34}\) J·s)(3.00 x 1\(0^{8}\)m/s)/(400 x 1\(0^{-9}\) m)
E = 4.965 x 1\(0^{-19}\) J
To convert the energy from joules to electron volts (eV), we use the conversion factor 1 eV = 1.6x 1\(0^{-19}\) J:
Energy (eV) = (4.965 x 1\(0^{-19}\) J)/(1.6 x 1\(0^{-19}\) J/eV)
Energy (eV) = 3.1 eV
Therefore, the energy of a photon with a wavelength of 400 nm is approximately 3.1 eV.
Hence, the correct option is B.
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According to the graph of displacement vs. time, what is the object's velocity at a displacement of 0.2 meters?
According to the graph of displacement vs. time, the object's velocity is 0.02 m/s
What is displacement?The displacement is the shortest distance travelled by the particle. It is the vector quantity which re[presents both the magnitude and direction.
Velocity is the time rate of change of displacement with time.
Given is the displacement 0.2 m and time taken is 10s. So, the velocity is
v = 0.2/10
v = 0.02 m/s
Thus, the object's velocity is 0.02 m/s
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A 15.4 N impulse is applied to a 5.9 kg medicine ball that is at rest. How fast will the ball roll?
Given an impulse of 15.4 N, mass of 5.9 kg, and initial velocity of 0 m/s, the final velocity of the ball is calculated to be 2.61 m/s.
The given problem is of Impulse and Momentum. The Impulse is the product of Force and Time, while Momentum is the product of mass and velocity.The formula for impulse is given by: Impulse = Force × TimeThe formula for momentum is given by: Momentum = Mass × VelocityGiven, Impulse (J) = 15.4 N Mass (m) = 5.9 kg Initial velocity (u) = 0 m/s. Final velocity (v) = ? We know that, J = F × t=> F = J / tThe ball is initially at rest. Therefore, initial momentum, P1 = m × u = 0 kg m/sFinal momentum, P2 = m × v kg m/sBy the law of conservation of momentum,P1 = P2 => m × u = m × v=> u = vSo, we have,Momentum before = Momentum after => m × u = m × v=> v = u + J/m=> v = 0 + 15.4 / 5.9=> v = 2.61 m/sTherefore, the ball will roll with a velocity of 2.61 m/s.We have given impulse, mass, and initial velocity. Using the formulae of momentum, we can easily calculate the final velocity of the ball which comes out to be 2.61 m/s. The ball will roll with a velocity of 2.61 m/s in the direction of the impulse applied.For more questions on velocity
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