Joe is using crowbar to remove tree stump. When output and input work is given then the efficiency can be calculated as 60%.
How is efficiency defined ?Efficiency can be defined as how good a device is at transferring input energy to useful output energy . The efficiency of a device is the proportion of the energy supplied that is transferred for useful work. The efficiency is calculated as a decimal or a percentage.
Given output work as 1240 J
input work as 2066 J
Then efficiency can be calculated by using the formula :
Efficiency= (output work/ input work) * 100%
=( 1240/2066) * 100%
Efficiency = 60%
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Fill in the blanks using the word bank.
Answer: We are unable to see the word bank please update it with a more clear bank word image.
if the test section is designed to have a velocity of 200 m/s, determine the mach number, temperature and pressure in the test section. is the pressure in the test section greater than or less than the surrounding atmospheric pressure?
The test section's pressure is lower than the ambient pressure.
What exactly does pressure mean?In the physical sciences, pressure is defined as the perpendicular force per unit area or the stress at a particular location within a confined fluid.
Given,
Diameter of Test section, d₂ = 0.5m
Area, A₂ = π/4d₂² = π/4×0.5² = 0.19635m²
Now, At Inlet,
Po = 101325Pa
To = 288 k
s = 122 kg/m³
(a) Using Bernoulli Theorem, i'n Test Section,
Po = [tex]P_{t}[/tex] +1/2γ [tex]v_{t^{2} }[/tex]
101325 = [tex]P_{t}[/tex] + ½ (1.22) (200) ²
[tex]P_{t}[/tex] = 76925 Pa
[[tex]v_{t}[/tex] = 200m/s]
Now,
Static Temperature, [tex]T_{t}[/tex]
[tex]T_{0}[/tex] = [tex]T_{t}[/tex] +v²/2[tex]c_{p}[/tex]
288 = [tex]T_{t}[/tex] +200²/2×1005
[tex]T_{t}[/tex] = 268.09k.
Thus,
[tex]M_{t}[/tex] = [tex]v_{t}[/tex]/[tex]\sqrt{\nu RT_{t} }[/tex]
[tex]M_{t}[/tex] = 200/1.4×287×268
[tex]M_{t}[/tex]= 0.609
The test section's pressure is lower than the ambient pressure.
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a 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. what centripetal force must she exert to stay on if she is 0.891 m from its center? (hint: it's more than double her weight).
342.5 N of force must she exert to stay on if she is 0.891 m from its center while 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min
Since we are given the mas of the child which is 22.0 kg and the number of revolutions which is 40.0 rev/min which will be :
n=2*3.14 *40.0 /60 = 4.18 radians/s
and the distance from the center is 0.891 m( r). The formula we are referring to calculates the centripetal force :
F= m(n)²* r
=22(4.18)²*0.891
= 342.49 = 342.5 N
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skydiver refresher test answers why is it important to look ahead during a swoop toward other jumpers in freefall?
It is important to look ahead during a swoop toward other jumpers in freefall because you want to be able to see where they are going, and what they are doing.
If you don't look ahead, you may not be able to avoid them correctly. Looking ahead also helps you keep an eye on your parachute and where it is about other jumpers.
Looking ahead during a swoop toward other jumpers in freefall is important because it allows you to assess the situation and make sure that you aren't going to collide with another jumper. If you don't look ahead, you might not realize that there are people above but be ensure that you aren't colliding to avoid a collision.
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The telescope that allowed astronomers to discover most of the planets found with the transit method was called?.
The telescope that allowed astronomers to discover most of the planets found with the transit method was called the Kepler mission.
What is the Kepler mission?Through only this one telescope, Kepler, astronomers have found thousands of extrasolar planets, or exoplanets, since its inception. Most of them are planets with diameters ranging from Earth's to Neptune's (which is four times the size of Earth). Where Kepler was directed for the first four years of its mission, in an area of the constellation Cygnus roughly the size of the palm of a hand held at arm's length, many of these planets were found.
According to the NASA Exoplanet Archive, as of November 2020, Kepler was credited with finding 2,392 exoplanets, with 2,368 candidate planets still awaiting confirmation.
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a moth at about eye level is 16.4 cm in front of a plane mirror; you are behind the moth, 48.8 cm from the mirror. what is the distance between your eyes and the apparent position of the moth's image in the mirror?
The distance between the moth and its image in the mirror is equal to the distance between the moth and your eyes, which is equal to 43.7 centimeters.
The distance from the moth to its image is 16.4 cm, which is equal to 48.8 cm, because it's a plane mirror. So, if you want to know how far away from you the moth looks like it is, just subtract 48.8 cm (the distance between your eyes) from 16.4 cm (the distance between you and the moth).
The angle between these two objects is 48 degrees,
so S = 1/2 2 sin(48)
= 0.958 meters.
Moth + Mirror (dist1) + Me (dist2) = 48 * 0.958 = 43.7 centimeters
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what would be your best estimate for the normalized ground state wavefunction of the quartic oscillator?
The variational technique is one strategy to approximate the ground state with the lowest energy and some stimulated states in quantum mechanics.
What is variational method principle in quantum mechanics?This makes it possible to calculate approximations of wavefunctions, like molecular orbitals. The variational concept serves as the method foundation. The process entails selecting a "trial wavefunction" based on one or more parameters, then identifying these parameters values that result in the energy expectation value being as low as possible. By setting the parameters to these values, a wavefunction that approximates the ground state wavefunction is produced, and the energy in that state's expectation value serves as an upper bound on the ground state energy.
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after a very short time, what is the difference between the pressure-difference across the component on the left and the pressure-difference across the component on the right?
Flow doesn't depends on absolute values of P1 and P2
Flow doesn't depends on absolute values of P1 and P2 but flow depends on pressure difference between top and bottom of each sides. This conclude that whenever { P2-P4 = P1-P3 } flow will be stop.
after some time, difference in pressure across either components is
{ P(Top) - P(bottom) }
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A 900 kg coaster car is 13 m high traveling at 28 m/s at point C. If point E is 10 m high, how fast will the car be traveling assuming no frictional forces?
The velocity of the car at point E which is 10 m is determined as 24.2 m/s.
What is the final velocity of the coaster?The final velocity of the coaster car is calculated by applying the principle of conservation of energy.
total kinetic energy of the coaster = total potential energy of the coaster
K.E = P.E
-¹/₂mv₁² + ¹/₂mv₂² = -mgh
-v₁² + v₂² = -2gh
v₂² = v₁² - 2gh
where;
m is the mass of the coasterv₁ is the initial velocity of the coasterv₂ is the final velocity of the coasterh is the height of travel of the coaterg is acceleration due to gravityThe given parameters include;
initial velocity of the coaster = 28 m/sheight of travel = 10 mv₂² = v₁² - 2gh
v₂² = (28²) - (2 x 9.8 x 10)
v₂² = 588
v₂ = √588
v₂ = 24.2 m/s
Thus, the final velocity of the coaster car at the given height will be smaller than the initial velocity due to effect of gravity.
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2. in an amusement-park ride, cars rolling along at high speed suddenly head up a long, straight ramp. they roll up the ramp, reverse direction at the highest point, then roll backward back down the ramp. in each of the following segments of the motion, which way does the acceleration vector point? a. as the cars roll up the ramp. b. at the highest point on the ramp. c. as the cars roll back down the ramp
The acceleration is going to be down the ramp as the cars roll up it and it's the same direction. In all 3 cases.
What is acceleration ?Acceleration is the rate at which an object's velocity with respect to time changes. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.
According to Newton's Second Law, the amount of an object's acceleration is the combined result of two causes :
The magnitude of the net resulting force is directly proportional to the net balance of all external forces acting on that object.Depending on the materials used to create it, an object's mass is inversely related to its magnitude.A linear acceleration is the acceleration of the car in the direction it is moving, and it causes the passengers to feel a force pushing them back into their seats.
The acceleration that is used when changing direction is referred to as radial acceleration, and the reaction that the passengers feel is a centrifugal force.
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A car (mass 1 000 kg) uses 50 000 J of energy (from fuel) to accelerate the car from rest to 5.5 m/s (about 20 km/h). How efficient is the car’s engine? ( Think, Eff = Eout/Ein x 100/1)
The energy output from the car is 15125 J and the input energy is given 50000 J. Thus, the efficiency of the car is 30.25 %.
What is engine efficiency?The efficiency of an engine is the ratio of its energy output to the energy input multiplied by 100. The efficiency of a heat engine can be found similarly using the input heat and output heat.
Given the mass of the car is 1000 Kg and it is accelerated to 5.5 m/s. Therefore the kinetic energy output is is calculated as follows:
KE = 1/2 mv²
= 1/2 1000 kg × (5.5 m/s)²
= 15125 J
The input energy is 50000 J. Therefore, the energy efficiency is :
efficiency = output energy / input energy × 100
= ( 15125 J/ 50000J ) × 100
= 30.25 %
Hence, the energy efficiency of the car is 30.25 %.
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an 80.0 kg astronaut carrying a 15.0 kg tool kit is drifting away from the space station at a speed of 1.25 m/s. a) if she throws the tool kit away from the space station with a speed of 6.00 m/s, what is her final speed and direction?
The final speed of the astronaut at the space station is 0.36 m/s and the direction will be opposite to the direction of the tool kit thrown.
The mass of the astronaut = 80 kg
The mass of the tool kit = 15 kg
The speed of the space station = 1.25 m/s
The speed of the tool kit threw = 6 m/s
The final speed of the astronaut can be found using the conservation of momentum formula,
[tex]\displaystyle m_{1}v_{f1} + m_{2}v_{f2} = m_{1}v_{i1} + m_{2}v_{i2}[/tex]
where m₁ is the mass of the astronaut
m₂ is the mass of the tool kit
[tex]\displaystyle v_{i1}[/tex] and [tex]\displaystyle v_{i2}[/tex] is the speed of the space station
[tex]\displaystyle v_{f1}[/tex] is the speed of the astronaut after throwing the toolkit
Let us substitute the known values in the above equation, we get
(80 x [tex]\displaystyle v_{f1}[/tex]) + (15 x 6) = (80 x 1.25) + (15 x 1.25)
(80 x [tex]\displaystyle v_{f1}[/tex]) + 90 = 100 + 18.75
80 x [tex]\displaystyle v_{f1}[/tex] = 118.75 - 90
80 x [tex]\displaystyle v_{f1}[/tex] = 28.75
[tex]\displaystyle v_{f1}[/tex] = 28.75 / 80
= 0.36 m/s
Therefore, the final speed of the astronaut is 0.36 m/s
By newton's third law, for every action, there will be an equal and opposite reaction. Thus, the direction of the astronaut's direction will be against the direction of the tool kit thrown.
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a 0.111 kg hockey puck moving at 55 m/s is caught by a 80 kg goalie at rest. with what speed does the goalie slide on the (frictionless) ice?
The goalie slides on the frictionless ice at a speed of 0.076 m/s.
collision energy equals collision momentum
What generates momentum?An object's momentum will vary as a result of a force applied for a specific length of time. In other words, an uneven force an object regardless of whether it is speeding up or slowin accelerates g down. When a force exerted against an object's motion slows it down.
The puck weighs 0.111 kg in terms of mass.
Hockey puck velocity is 55 meters per second.
Goalkeeper weight: 80 kg
Goalkeeper's speed is 0 meters per second.
Following the rule of linear momentum conservation, (0.111 kg 55 m/s) + (80 kg 0 m/s) = (0.111 kg + 80 kg) V V = (6.105 / 80.111) = 0.076 m/s (0.111 kg 55 m/s) + (0.111 kg + 80 kg) V = 0.076 m/s
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a uniform tin film of alcohol lies on a flat glass plate. when monochromatic light, whose wavelength can be changed, is incident normally, the refected light is a minimum for a wavelngth of 512 nm and a maximum for a wavelength of 635 nm. what is the minimum t hickness of the film
This is also known as the cut and weight method for determining the average thickness of plastic sheets.
The calculator below uses the formula (volume) x (density) = (weight) to calculate the theoretical thickness of a plastic film. "Film" is generally less than 1 mm thick, so the unit is μm. (If it is 1 mm or more, it is called a "sheet.") Generally, the micrometer method (JIS-C-2151) is used. Using a micrometer, measure the specified number of specified points in the width direction and length direction of the film. Film thickness has a significant impact on coating quality and cost. Measuring it and knowing which gauge to use is routine for every coater. Film thickness plays an important role in product quality, process control, and cost control and can be measured by various instruments.
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a small truck has a mass of 2095 kg. how much work is required to decrease the speed of the vehicle from 25.0 m/s to 15.0 m/s on a level road?
The vehicle needs to do 515872.5 Joule of labor in order to reduce its speed from 25 m/s to 12 m/s when a small truck has a mass of 2095 kg.
What exactly is speed?
the rate at which the position of an object changes in any direction. The ratio of distance traveled to the time required to travel that distance is known as speed. Speed is a scalar quantity because it has no magnitude and only a direction. The SI unit of speed is made up of the fundamental units of time and distance. The speed measurement in the metric system is measured in meters per second. Work is defined as the energy that is moved to or from an item by exerting force along a displacement. It is easiest to express as the product of force magnitude and distance traveled with a constant force acting in the same direction as the motion.
According to the International System of Units, a joule is a unit of work.
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Which statement is true regarding a distance vs. time graph? (1 point)
O The graph should show distance on the vertical axis.
O The graph can include only straight line segments.
O The graph must have a horizontal segment.
O The graph needs to start at the origin.
The statement that is true regarding a distance vs. time graph is option A: The graph should show distance on the vertical axis.
Where is the plot of distance?How far an object has come in a certain amount of time is displayed on a distance-time graph. Time is represented on the X-axis and Distance is plotted on the Y-axis (left) (bottom).
On a distance-time graph, an object's motion is indicated by a sloping line. The slope or gradient of the line in a distance-time graph is equal to the object's speed. The object is travelling more quickly the steeper the line is (and the bigger the gradient).
Note that the distance-time graph shows the relationship between distance and time by plotting distance on the y-axis and time on the x-axis.
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Answer:
(Question) Which quantity is scalar?
(Answer) Energy
(Question) Which option describes a vector quantity?
(Answer) It has magnitude, units, and direction.
(Question) A sailboat ends up 7 miles to the west of a pier. Which statement is true about this situation?
(Answer) It describes displacement, which is a vector quantity.
(Question) Which statement is true regarding a distance vs. time graph?
(Answer) The graph should show distance on the vertical axis.
(Question) On a distance vs. time graph for an object, a line segment that is sloping upward indicates
(Answer) motion in the positive direction.
Explanation:
just finished the quick check UwU
A sailboat ends up 7 miles to the west of a pier. Which statement is true about this situation? (1 point)
It describes displacement, which is a vector quantity.
It describes distance, which is a scalar quantity.
It describes distance, which is a vector quantity.
It describes displacement, which is a scalar quantity.
The statement that is true about the situation where the sailboat ends up 7 miles to the west is that it describes displacement, which is a vector quantity (option A).
What is displacement?Displacement is the vector quantity which denotes distance with a directional component. This means that displacement is distance with direction.
On the other hand, distance is the amount of space between two points, usually geographical points, usually (but not necessarily) measured along a straight line. It is a scalar quantity, meaning that it has no direction.
This serves as the major difference between both terms: Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
According to this question, a sailboat ends up 7 miles to the west of a pier. This means that the magnitude is 7 while the direction is west of the pier, hence, it depicts displacement.
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3) A block with an unknown mass rests on a rough table. Attached to the mass is a
string which is attached to a 12 kg mass that hangs over the edge of the table via a
pulley. The coefficient of friction is 0.35. When released from rest, the system
reaches a speed of 8 m/s after traveling a distance of 6 m.
a. Calculate the acceleration of the system.
b. What equation can you use to represent the force of friction acting on the
unknown mass.
c. Write out Newton's Second Law and solve for the unknown mass.
a. The acceleration of the system is 0.21 m/s^{2}
b. The equation of the force of friction is -
tension force - force of friction = unknown mass x its acceleration and force of friction is equal to product of coefficient of friction and normal force acting on unknown mass .
c. Newton's second law of motion applies when there are unbalanced forces acting on an object. According to the second law, the mass and the net force acting on the object both affect how quickly an object is accelerating . An object's acceleration is directly proportional to the net force applied and inversely proportional to the object's mass. An object's acceleration increases as the amount of force exerted on it does. A decreasing acceleration is caused by an increase in an object's mass.
The unknown mass is nearly equal to 30 kg .
What is acceleration ?
the rate at which the speed and direction of a moving object vary over time is termed as acceleration . An object going straight ahead when it accelerates or decelerates, is said accelerated. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.
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Gravitational potential energy is the potential energy of an object based on its.
Based on an object's separation from the Earth, gravitational energy is potential energy that can be stored there.
What is an example of gravitational energy in action?A straightforward device that converts gravitational potential energy into kinetic energy and back again is the pendulum. The bob has no kinetic energy when it is at the top of its swing, but it has a maximum gravitational potential energy. Gravitational potential energy is converted to kinetic energy as the bob swings downward, causing it to accelerate.The bob has its highest kinetic energy and lowest gravitational potential energy near the bottom of its swing.The bob's kinetic energy is converted back into gravitational potential energy as it swings higher. It again has no kinetic energy at the height of its swing, but its gravitational potential energy is at its highest.Additional examples include: water in a dam, a huge boulder perched precariously on a precipice, roller coasters, and a skateboard perched atop a ramp.To Learn more About gravitational energy refer to :
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a wheel has moment of inertia 5 cross times 10 to the power of negative 3 end exponent space k g times m squared and is making 20 revolutions per second. the magnitude of torque needed to stop it in 10 s is:
A wheel has moment of inertia 5 x 10-3 kg m2 and is making 20 revolutions per second. The magnitude of torque needed to stop it in 10s is: 4 π x 10-2 Nm.
The force that may twist an item about its axis is measured as torque. Torque is what causes an object to acquire angular acceleration, just as force is what causes an object to accelerate in linear kinematics. examine the formula. Force times distance equals torque. The same way that force and distance are measured in newtons and meters, respectively, so is torque. The size or magnitude of a mathematical object is a characteristic that defines whether it is bigger or smaller than other objects of the same kind. An object's magnitude is, more properly, the exhibited outcome of an ordering—of the class of objects to which it belongs.
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two parallel plates are separated by 5.0 cm. if the potential difference between the plates is 2000 v, with the top plate at the higher potential, what is the electric field between the plates?
There is a 40000 N/C downward electric field between the plates.
Potential difference between the plates V = 2000 V
Plates separation d = 5 cm = 0.05 m
power source E=V/d
Electric field E=40000 N/C downhill
The electric force per unit of charge is what is meant when we talk about an electric field. It is presumable that the field's direction matches the direction in which a successful test charge would feel force. The physical surroundings of a system of charged particles are also described. Electric fields are composed of electric charges and time-varying electric currents. The electromagnetic field, one of nature's four primary interactions, or forces, appears as both electric and magnetic fields.
In electrical technology, electric fields are used, and significant in many branches of physics. For instance, the attracting force in atomic physics and chemistry is the electric field.
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the maximum speed of a 3.00-kg object in simple harmonic motion is 4.00 m/s. the maximum acceleration of the object is 5.00 m/s2. what is the period of simple harmonic motion?
The period of a 3.00kg object moving in a simple harmonic motion is 5.02s
Simple harmonic motion is a system where the object oscillates around the equilibrium position.
Based on the theorem, there are some formulas:
x(t) = A.cos t (ωt+∅)
x max = A
v max = Aω
a max = Aω²
ω = 2π/T = 2πf
From the question, we got some informations:
m = 3.00kg
v max = 4.00 m/s
a max = 5.00 m/s²
T = ?
We will use the formula for a max and v max to find the value of ω:
v max = Aω
v max = 4.00 m/s
Aω = 4.00 m/s ...(i)
a max = Aω²
5.00 = v max (ω)
5.00 = 4.00ω
ω = 1.25 rad/s ..(ii)
Next, we will use the Period formula:
ω = 2π/T
1.25 = 2π/T
T = 1.6π s
T = 5.02s
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Two sound waves produce a beat frequency of 5 hz. If one of the original frequencies is 227 hz, what could be the other frequency?.
The beat frequency is always equal to the difference in frequency between the two notes that interact to create the beats.
How do you find the beat frequency of two sounds?The absolute difference between the two waves can be used to compute it. As a result, here's how to determine the beat frequency of two waves: Take the absolute value by subtracting the first wave's frequency from the second wave's frequency.The total value of the two waves' frequencies' difference is equal to the beat frequency. Beat frequency is the number of beats per second that corresponds to the difference in two waves' frequencies.Beat Frequency Calculation is given:First wave frequency 5Hz
Second wave frequency 227Hz
Beat frequency 〰️222Hz.
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what is the minimum duration of the pulse if the minimum uncertainty in the energy of the photons is 1.0 % ?
If there is a 1.0% minimum energy uncertainty in the photons, the pulse's minimum duration is 1.6313×10⁻¹⁴ seconds.
How do you calculate a photon's energy?There are two approaches to determine a photon's energy: E = h f can be used if the photon's frequency is known. This equation is referred to as Planck's equation because Max Planck proposed it. Using the formula E = h c, the photon's energy can be determined if its wavelength is known.
energy of the laser = h × c/λ
where h=Planck's constant-6.626×10⁻³⁴
c-speed of light = 3×10⁻⁸ m/s
λ = wavelength = 615 nm-615×10⁻⁹ m
energy = E = 6.626×10⁻³⁴×3×10⁸/(615×10⁻⁹) = 3.2322×10⁻¹⁹ J
then uncertainty in energy = 0.01×E = 3.2322×10⁻²¹ J
from Heisenberg uncertainty principle:
uncertainty in energy × uncertainty in time > h/(4× π)
==> uncertainty in time >6.626×10⁻³⁴/(4× π×3.2322×10⁻²¹)=1.6313×10⁻¹⁴
so minimum duration of the pulse is 1.6313×10⁻¹⁴ seconds.
To know more about If there is a 1.0% minimum energy uncertainty in the photons, the pulse's minimum duration is 1.6313×10⁻¹⁴ seconds.
How do you calculate a photon's energy?There are two approaches to determine a photon's energy: E = h f can be used if the photon's frequency is known. This equation is referred to as Planck's equation because Max Planck proposed it. Using the formula E = h c, the photon's energy can be determined if its wavelength is known.
energy of the laser=h × c/λ
where h=Planck's constant-6.626×10⁻³⁴
c-speed of light = 3×10⁻⁸ m/s
λ = wavelength = 615 nm-615×10⁻⁹ m
energy = E = 6.626×10⁻³⁴×3×10⁸/(615×10⁻⁹) = 3.2322×10⁻¹⁹ J
then uncertainty in energy = 0.01×E = 3.2322×10⁻²¹ J
from Heisenberg uncertainty principle:
uncertainty in energy × uncertainty in time > h/(4× π)
==> uncertainty in time >6.626×10⁻³⁴/(4× π×3.2322×10⁻²¹)=1.6313×10⁻¹⁴
so minimum duration of the pulse is 1.6313×10⁻¹⁴ seconds.
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why are measurements of the current density of the universe important? the overall density of the universe is the main clue that can allow us to choose between open, closed, and flat models of the universe. the overall density of the universe is the main clue that can allow us to tell where the center of the universe is. the overall density of the universe is the main clue that can allow us to tell whether the universe is isotropic or homogeneous. the overall density of the universe is the main clue that can allow us to tell how quickly the universe is collapsing. need help?
The primary indicator that can help us distinguish between open, closed, and flat universe models is the universe's overall density.
What is meant by current density?Current density, which is measured in amperes per square meter, is the quantity of electric current flowing through a unit of cross-sectional area. The current density will increase as the conductor's current increases.The total amount of current flowing through one unit of a cross-sectional area is referred to as current density. If the current flow is uniform, it will flow through a particular conductor with the same amount at all of its points, regardless of how the conductor's area changes.The measurements of the current density of the universe important to the primary indicator that can help us distinguish between open, closed, and flat universe models is the universe's overall density.To learn more about current density refer to:
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rgb color television and computer displays use cathode ray tubes that produce colors by mixing red, green, and blue light. if we look at the screen with a magnifying glass, we can see individual dots turn on and off as the colors change. using a spectrum of visible light, determine the approximate wavelength of each of these colors. what is the frequency and energy of a photon of each of these colors?
The frequency and energy of a photo of each of the colors indicated above are calculated using the formula for the frequency of light and the formula for energy in relation to Planck's constant.
What is the equation for energy and Frequency?
In this case, the formula for energy and frequency is given as follows:
E = Hv
Where
E - Energy (in eV)
h - Planck's constant (4.1357 x 10⁻15 eVs)
v-frequency (in Hz)
v = c/λ
Where,
v - frequency (Hz)
c - speed of light (3x 10⁸) ms⁻¹
λ - wavelength (in meters)
The energy of the photon for Red light is given as follows:
E = (4.6 x 10¹⁴) (4.1357 x 10⁻¹⁵)
E = 1.902 eV
Frequency is given as:
v = [3×10⁸ms−¹] /[650x×10⁻¹⁹m]
v = 4.6 x 10¹⁴Hz
For Green light:
Energy is given as:
E = (5.4 x 10¹⁴) (4.1357 x 10⁻¹⁵)
E = 2.234 eV
Frequency is given as:
v = [3×10⁸ms−¹] /[550x×10⁻¹⁹m]
v = 5.4 x 10¹⁴Hz
For Blue light:
Energy is given as:
E = (6.6 x 10¹⁴) (4.1357 x 10⁻¹⁵)
E = 2.729 eV
Frequency is given as:
v = [3×10⁸ms−¹] /[450x×10⁻¹⁹m]
v = 6.6 x 10¹⁴Hz
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they are usually present during planet formation and then eventually dissipate. what temperature is the material in this disk at? show your work and explain your reasoning clearly.
A protoplanetary disc, also known as a TTS, is a rotating disc of dense gas encircling a young, recently created star. If the disc is large enough, runaway accretions start, leading to the fast development of Moon- to
Mars-sized planetary embryos in 100,000–300,000 years. The protoplanetary disc, from which planets are (theoretically) generated, is a disc of gas (99% of its mass) and dust (1% of its mass) around a young star.In a sense, the Solar System's "leftovers" can be compared to these debris discs. As the name suggests, asteroids make up the majority of the asteroid belt. Between the orbits of Mars and Jupiter, it can be found in a ring of material.The collapse of the solar nebula was most likely brought on by a shock wave from a nearby supernova explosion. The planets formed in a thin disc around the Sun, which formed in the center of the solar system.To know more about protoplanetary
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4. Predict whether a greater amount of energy will be
transferred as heat between 1 kg of water at 10 °C
and a freezer at -15 °C or between 1 kg of water at
60 °C and an oven at 65 °C.
The greater amount of energy is transferred during the first case and the difference in energies is: 84 × 10³ J
What is internal energy of a system?Internal energy refers to all energy within a particular system, including the kinetic energy of molecules and the energy stored in chemical bonds between molecules. The interaction of heat, work, and internal energy involves the transfer and conversion of energy whenever a change is made to the system.
The amount of heat (Q) gained or lost from the sample can be calculated using the formula Q = mcΔT. where m is the mass, c is the specific heat, and ΔT is the temperature change.
For the first case:
Q = mcΔT
Q = mc(T₁ - T₂)
m = 1 kg or 1000 g
c = 4.2 J g⁻¹/°C
T₁ = 10 °C
T₂ = -15 °C
Q₁ = 1000 × 4.2 × (10 -(-15))
Q₁ = 105 × 10³ J
For the second case:
Q = mcΔT
Q = mc(T₂ - T₁)
m = 1 kg or 1000 g
c = 4.2 J g⁻¹/°C
T₁ = 60 °C
T₂ = 65 °C
Q₂ = 1000 × 4.2 × (65 - 60)
Q₂ = 21 × 10³ J
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a lens of focal length 25 cm is placed 50 cm from an object. on the opposite side of the lens, at a distance of 100 cm, is a concave mirror with a curvature radius of 20 cm. where is the final image formed?
The image is formed at the distance 50/3 from the concave mirror .
What is meant by concave mirror ?The reflective surface of a concave mirror is curved inward and away from the light source. Concave mirrors focus light inward to a single focal point. In contrast to convex mirrors, the image formed by a concave mirror changes depending on the distance between the object and the mirror.
Given ,
In concave lens
focal length f =+25
object distance u =20cm
Using lens formula, we have
1/f=1/v-1/u
1/25=1/v-1/20
1/v=1/20-1/25=2-1/25 =1/25
v = 25 cm
Now, for concave mirror, we have
Focal length, f= R/2=25/2 = 12.5 cm
Object distance, u=+(25−50) cm= -25 cm
Using mirror formula, we have
1/f=1/v + 1/u
1/v = 1/12.5 - 1/-25 = 5-2/50 = 3/50
v = +50/3
Therefore the image is formed at the distance 50/3 from the concave mirror
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a father uses a rope to pull a child on a sled at a constant speed. of the ones listed which forces are present?
When father uses a rope to pull a child on a sled at a constant speed then the sum of all the forces acting on sled is zero.
What are the forces present while pulling a child on sled using rope?Forces such as normal force, force of gravity, force of friction, tension and air resistance are present.
But as the father pulls the sled with constant speed then the the sum of all the forces acting on the sled becomes zero.
As there is no movement in upward or downward directions then the weight of the child and the sled is equal to the normal force acted upon the sled by ground.
The force which is applied by the father on the rope is equal to the tension in the rope.
Friction and air resistance act opposite to the direction of motion of the sled and as sled moves at constant speed, tension in the rope must be equal to the sum of friction and air resistance forces.
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