Answer:
Photons.
Explanation:
what is ca oh 2 molar mass
Ca(OH)2 has a molar mass of 74.092 g/mol.
Calcium hydroxide, sometimes referred to as slaked lime, has the chemical formula Ca(OH)2. It is an inorganic material that when solid appears white and powdered.
The atomic masses of each element in the periodic table must fist be determined.
Ca = 40.078 (Calcium)
O(Ozone) = 15.999
1.008 H(Hydrogen)
The following equation can be made:
40.078 + (15.999 + 1.008) × 2
40.078 + (17.007) × 2
40.078 + 34.014
= 74.092 g/mol
The molar mass, or molecular mass, of Ca(OH)2 is 74.093 grammes. Th molecule consists of one calcium atom, two oxygen atoms, and two hydrogen atoms. Their molar masses are totaled in this The molar mass of Ca(OH)2 is 74.092 g/mol.
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What is voltage divider formula?
Voltage divider formula is a circuit formula used to calculate the output voltage of a circuit that is divided between two resistors. It is [tex]Vout = Vinx(R2/(R1+R2)[/tex]
A voltage divider circuit consists of two resistors in series with an input voltage applied across them, and the output voltage is taken from the point between the two resistors. The voltage divider formula:
[tex]Vout = Vin x (R2 / (R1 + R2))[/tex]
Vout: circuit's output voltage of the circuit
Vin: circuit's input voltage
R1: circuit's resistance value of first resistor
R2: circuit's resistance value of the second resistor
The voltage divider formula shows that the output voltage of the circuit is proportional to the ratio of the two resistors. If the value of R2 is increased, the output voltage will increase, and if the value of R1 is increased, the output voltage will decrease.
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Two more balloon like objects were shot down over ___ and northern canada.
"Two more balloon like objects were shot down over the United States and northern Canada."
North American nations include Canada and the United States of America. Recent confirmation from the governments of both nations that balloon-like objects were shot down while passing over their territory.
There is a great deal of controversy regarding the items and how the various nations are handling them. They are tools used by the Chinese government to eavesdrop, according to the American government. Beijing, however, refutes the allegations and claims that their balloon was utilised for meteorological reasons. We cannot definitively say that all flying objects originate from China or serve one particular function because not all of them have been correctly identified.
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expalin how a free body diagran allows you to slove for force problems
A free body diagram allows us to analyze the forces acting on an object or system, and by using Newton's laws of motion, we can solve for force problems and understand the motion of the object or system.
What is free body diagram?
A free body diagram (FBD) is a graphical representation that shows all the forces acting on an isolated object or a system. By creating a FBD, we can analyze the forces acting on the object and use Newton's laws of motion to solve for force problems.
To create a free body diagram FBD, we draw a diagram of the object or system with all external forces acting on it shown as arrows. These forces include weight, normal force, friction, tension, and any other forces that are present. It is important to note that only external forces are included in a FBD, as internal forces cancel each other out.
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The image below shows a force of 10 N being applied to an object. The force is being applied toward the right, and the object is accelerating toward the right. No other force is acting on the object. Examine the image, and then answer the question that follows.
A second force of 13 N is applied to the object. If this second force is applied toward the left while the first force is being applied toward the right, which of the following will occur?
A.
The object will immediately begin moving toward the left.
B.
The object will continue moving toward the right at the same speed.
C.
The object will continue accelerating toward the right.
D.
The object will immediately accelerate toward the left.
Answer:
the answer is A, the object will immediately begin moving toward the left.
how to calculate heat of vaporization given pressure and temperature
The required heat of vaporization is calculated when the pressure and temperature are given using the Clausius-Clapeyron equation.
The mathematical equation of Clausius-Clapeyron is given as,
ln(P₁/P₂) = -ΔHvap/R (1/T₂ - 1/T₁)
where,
P₁, P₂ are the vapour pressures at two temperatures T₁, T₂
ΔHvap is enthalpy of vapourization
R is gas constant
When the temperature reaches a certain level, known as the critical temperature, the heat of vaporisation entirely disappears.
Latent heat of condensation grows as pressure rises, while latent heat of vapourization decreases.
By substituting the required values in the above equation, we get the heat of vaporization value.
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a small car (mass 380. kg) is pushing a large truck (mass 900. kg) due east on a level road. the car exerts a horizontal force of 2345 n on the truck. if the truck is accelerating at 2.50 m/s2, what is the magnitude of the net force on the truck?
The magnitude of the net force on the truck is 2070.5 N.
What is frictional force?Frictional force is the force that opposes motion or attempted motion between two surfaces in contact. It arises as a result of the interlocking of irregularities on the surfaces in contact, and it acts in the direction opposite to the direction of motion or attempted motion.
Frictional force can be classified into two types: static friction and kinetic friction. Static friction is the force that prevents an object from moving when a force is applied to it, while kinetic friction is the force that opposes the motion of an object that is already in motion.
The normal force is equal to the weight of the truck, which can be calculated as:
weight = mass x gravity
where gravity is approximately 9.81 m/s^2.
So the weight of the truck is:
weight = 900 kg x 9.81 m/s^2 = 8829 N
Therefore, the normal force is:
normal force = weight = 8829 N
And the frictional force is:
frictional force = 0.5 x 8829 N = 4414.5 N
Next, we can find the net force on the truck by subtracting the force of friction from the force exerted by the car:
net force = 2345 N - 4414.5 N = -2070.5 N
Note that the negative sign indicates that the net force is in the opposite direction to the force exerted by the car, which makes sense since the truck is slowing down.
Finally, we can use Newton's second law to find the acceleration of the truck:
net force = mass x acceleration
-2070.5 N = 900 kg x acceleration
acceleration = -2.3 m/s^2
Again, the negative sign indicates that the truck is slowing down.
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Give another example of a topic or object that continually experiences potential and kinetic energy.
Answer:
Explanation:
A body that has speed and is positioned is above the ground has both kinetic and potential energy.
flying birda coiled springa man climbing hillwhat is the relationship of the slope to the moving object?
A slanted line on a distance-time graph indicates that the object is moving. On a graph of a distance versus time, the line's gradient or slope equals the object's speed. The steeper the line, the faster the thing moves (and the greater the gradient).
The slope of the line increases with line steepness, and the rate of change of the object's motion increases with line steepness. The idea behind this is that the slope of a line on a position-time graph is equal to the object's velocity. The line's slope will be +4 m/s if the object is moving at a +4 m/s speed. If the object is travelling at a speed of -8 m/s, the line will slope by that amount. You may determine speed from the slope or steepness of a line. The speed increases with increasing slope steepness (greater verticality). Slow speed results from a flatter (more horizontal) slope. If the line is entirely horizontal or flat, the object is stopped or moving at a standstill.
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If a car moving at a steady speed rounds a corner at 60 km/h, does it maintain a constant speed? Maintain a constant velocity? Defend your answers. Match the words in the left column to the appropriate blanks in the sentences on the right 1. The ______ is constant and the ______ changes 2. Thus, the car ______ a constant speed and it a ______ a constant velocity - does not maintain - distance - instantaneous speed
- maintains - direction of motion
The speed is constant and the direction of motion changes.
Thus, the car maintains a constant speed and it does not maintain a constant velocity - the instantaneous speed varies as it goes around the corner due to the change in direction of motion.
What happens to the car's velocity when it rounds a corner?When a car rounds a corner at a steady speed, it changes its direction of motion, and therefore, its velocity changes as well. Velocity is a vector quantity that takes into account both the speed and direction of an object's motion. Since the direction changes, the velocity changes as well. However, if the car maintains the same speed throughout the turn, then the speed remains constant. Speed is a scalar quantity that only takes into account the magnitude of an object's motion, and it is measured as the distance traveled per unit of time.
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why does warm, moist air start to uplift in the initial stages of thunderstorm development?'
Warm, moist air starts to uplift in the initial stages of thunderstorm development because of a combination of different lift mechanisms.
One of these is convective lift, which occurs when warmer air rises due to its buoyancy. This is because warm air is less dense than cooler air, and so it is more easily displaced by the cooler air. Another lift mechanism is orographic lift, which is the result of air being forced to rise as it moves over a mountain or hill. Finally, frontal lift occurs when a cold front moves into an area of warm, moist air, forcing it to rise. All of these lift mechanisms can combine to cause warm, moist air to be lifted and form a thunderstorm.
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what is the required number of known physical variables that are needed to solve for the unknown quantities using the kinematic equations?
When analyzing the motion of a single object, four known physical variables are needed to solve for the unknown quantities using the kinematic equations.
These variables are displacement (s), velocity (v), acceleration (a), and time (t). When solving for the unknown quantities, you can use any combination of the four variables to solve for the desired unknown. For example, if you know the acceleration, displacement, and time, you can use the equation at^2/2 + vt + s = 0 to solve for the velocity. Similarly, if you know the velocity, displacement, and time, you can use the equation v^2 = 2as + v0^2 to solve for the acceleration.
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a test rocket is fired straight up from rest with a net acceleration of 20.0 m/s2. after 4.00 seconds the motor turns off, but the rocket continues to coast upward with no appreciable air resistance. what maximum elevation does the rocket reach?
The speed at which an object's velocity changes in relation to time is referred to as acceleration. The rocket has a maximum altitude of 486.5 meters.
Acceleration:
The speed at which an object's velocity changes in relation to time is referred to as acceleration. Vector quantities are accelerations. Assuming that it accelerates for four seconds and has a net upward acceleration of twenty meters per second². Consequently, during the acceleration phase, the rocket's highest altitude is
y = y₀ + ut + ½ at²
y = 0 + (0)(4) + ½ (20) (4)²
y = 160
Currently, the rocket's speed during the acceleration phase is,
v = at + u
v = (20) (4) + 0
v = 80
Therefore , after the rocket's motor is switched off, the highest point it can reach is,
v² = v₀² + 2a (y − y₀)
(0)² = (80)² + 2(-9.8) (y − 160)
Using the provided equation to find y,
y ≈ 486.5
Hence, the rocket may go as high as 486.5 meters.
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how to convert 27 degrees c to f?
The temperature can be converted by first multiplying 27 by 9 over 5. Then, to get 80.6 degrees Fahrenheit, multiply 32 by 48.6.
The temperature scale known as the Fahrenheit scale was derived from one that physicist Daniel Gabriel Fahrenheit suggested in 1724. The unit is the degree Fahrenheit.
On the Celsius scale, one of the two temperature scales used in the International System of Units (the other being the Kelvin scale), the unit of temperature is the degree Celsius.
Fahrenheit was an early developer of the thermometer as we know it, thus he naturally needed to mark out different temperatures on them. He created the scale that is today known as Fahrenheit.
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what is the frequency of an electromagnetic wave that has the same wavelength as a 2.5 khz sound wave in water?
Answer: 120000 m
Explanation:
in electromagnetic wave, velocity is same as 3*10^8 m/s
therefore
λ = v/f
= c/f
= 3*10^8 / 2500 Hz
= 120000 m
state the name of the store that has less energy at the end than it had at the start
The store that has less energy at the end than it had at the start is called a net energy loss store.
What is energy?Energy is the capacity to do work or to produce heat, light, or other forms of energy. It exists in several forms such as kinetic energy (energy of motion), potential energy (stored energy), electrical energy, thermal energy, light energy, gravitational energy, sound energy, and chemical energy. Energy can be converted from one form to another such as electricity is typically generated from the conversion of mechanical energy. Energy is essential for the functioning of the universe, from stars and galaxies to the complex systems of the human body. Conservation of energy is an important concept in physics and everyday life, as it enables us to maximize the useful energy available from a given source and minimize waste.
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For the equation below:
Eel = 1/2KX ^2
What happens to elastic energy if you decrease the stretch value on a spring?
The stored elastic potential energy decreases.
What happens to the elastic potential energy when we compress the spring?When we compress a spring, we apply a force that compresses the coils of the spring closer together. This causes the spring to store elastic potential energy, which is the energy that the spring possesses due to its deformation. This potential energy is a form of mechanical energy that can be converted into other forms of energy, such as kinetic energy or thermal energy.
When the compressed spring is released, the stored elastic potential energy is converted into kinetic energy as the spring expands and the compressed coils of the spring move apart hence the store elastic potential energy decreases.
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The pressure drop over a certain length of horizontal pipe is assumed to be a function of the velocity
The pressure drop over a certain length of horizontal pipe is assumed to be a function of the velocity is true because of the relationship between fluid flow and pressure, which is described by the Bernoulli's principle.
The pressure drop over a certain length of horizontal pipe is typically related to the flow rate through the pipe, which is in turn related to the velocity of the fluid. This relationship is described by the Darcy-Weisbach equation,
ΔP = f (L/D) (ρV^2/2)
Where ΔP is the pressure drop, L is the length of the pipe, D is the diameter of the pipe, ρ is the density of the fluid, V is the average velocity of the fluid, and f is the friction factor, which depends on the roughness of the pipe surface and the Reynolds number of the flow.
This equation shows that the pressure drop is proportional to the square of the velocity of the fluid, which means that as the velocity increases, the pressure drop will also increase. Therefore, the pressure drop over a certain length of horizontal pipe can be related to the velocity of the fluid flowing through it.
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what is online calculator of resistor color code
An online calculator of resistor color code is a tool that allows you to determine the value of a resistor based on the color bands that are marked on it.
To use the online calculator, you simply enter the colors of the bands on the resistor, and the calculator will provide you with the value of the resistor in ohms.
Some online calculators may also provide additional information, such as the tolerance and temperature coefficient of the resistor.
There are many online calculators of resistor color code available on the internet. Some popular examples include the calculators provided by Digi-Key, Ohm's Law Calculator, and RapidTables.
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how to convert 40celsius to fahrenheit?
40 degree Celsius in Fahrenheit is 104F. Fahrenheit and Celsius are related in that they are both units of temperature measurement.
To convert Celsius to Fahrenheit, you need to use the formula:
[tex]F = (9/5) * C + 32[/tex]
In this case, the formula would be:
[tex]Fahrenheit = (9/5) * 40 + 32[/tex]
Fahrenheit = 72 + 32
Fahrenheit = 104°F
Therefore, 40°C is equal to 104°F.
The formula for converting a temperature from Fahrenheit to Celsius is [tex](F - 32) * 5/9[/tex]. This formula can be used to find the Celsius equivalent of any temperature given in Fahrenheit. Celsius, also known as centigrade, was developed by Swedish astronomer Anders Celsius in the mid 1700s. It is a scale based on 0 degrees as the freezing point of water and 100 degrees as the boiling point of water.
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Fill The blank? light energy with very low amplitude would be perceived as ________.
Light energy with very low amplitude would be perceived as DIM.
What is the amplitude of light?Amplitude in mild refers to the quantity of strength in an electromagnetic wave and that means is identical here. Amplitude refers to the gap of the most vertical displacement of the wave from its suggest position. The large the amplitude, the better the strength.
Given, a certain light energy with very low amplitude
The wavelength of light energy determines its color, not the amplitude of the light wave. Brightness is related to amplitude.
Since, The amplitude of a wave, in simple terms, is related to the amount if the energy it carries with itself. A wave of high amplitude will carry high energy and a wave with low amplitude carries low energy.
thus,
Light energy with a very high amplitude would be perceived as very bright.
Therefore, Light energy with very low amplitude would be perceived as DIM.
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of the following, which color represents the lowest surface temperature for a star? yellow, orange, red, white, and blue
The color represents the lowest surface temperature for a star is option (3) red
The surface temperature of a star is one of the key factors that determine its color. The color of a star also depends on its composition, size, and distance from us, but temperature is the most important factor.
Stars emit light across a wide range of wavelengths, from radio waves to gamma rays. The peak of this emission is determined by the star's surface temperature, following a pattern called Planck's law. Hotter stars emit more blue and violet light, while cooler stars emit more red and infrared light.
The sequence of colors that represent the different surface temperatures of stars is commonly referred to as the "spectral sequence" or "color sequence". This sequence starts with blue stars (the hottest), followed by white, yellow, orange, and red stars (the coolest).
Therefore, the correct option is (3) red
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Which best approximates the resultant of a pair of 6-unit vectors at right angles to each other?
a. 0 units
b. 6 units
c. 8 units
d. 12 units
The required resultant of a pair of 6-unit vectors at right angles to each other is calculated to be 8 units. Correct option is C.
The resultant of the two vectors is the vector that produces the same effect as the combination of the individual vectors. When two vectors are mutually perpendicular to each other, then the resultant vector passes through the point from both originate.
The magnitude of vectors is 6 units.
As the two vectors are said to be perpendicular to each other, we have resultant vector as,
R = √6² + 6² = √72 = 8.49 units ≈ 8 units
Thus, the required resultant of a pair of 6-unit vectors at right angles to each other is calculated to be 8 units.
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how to convert 60 km to mph?
60 kilometers per hour (Km) is equal to 37.28 miles per hour.
Distance is the sum of an object's movements, regardless of direction. Distance can be defined and explained as the amount of space an object has covered, regardless of its starting or ending position.
Formula to be used:
mph = km/ 1.609
mph = 60/1.609
= 37.38 mph
The pace at which an object's position changes in any direction is referred to as its speed. The distance traveled in the relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. You must always multiply or divide by 1.6 to determine MPH. When moving at 60 km/h, the calculation is 60/1.609344, or 37.28 mph.
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how to convert pascals to atm
To convert pascals (Pa) to atmospheres (atm), you can use the following conversion factor: 1 atm = 101325 Pa
Pascal (symbol: Pa) is the unit of pressure in the International System of Units (SI). It is defined as the force of one newton acting over an area of one square meter.
In other words, the pascal is a measure of the pressure or stress on a surface that results from a force being applied uniformly over that surface. For example, if you apply a force of 100 newtons over an area of 1 square meter, the pressure would be 100 pascals (since 1 Pa = 1 N/m^2).
The pascal can also be expressed in terms of other units, such as the bar (1 bar = 100,000 Pa) or the atmosphere (1 atm = 101,325 Pa). The pascal is commonly used in many fields of science and engineering, including fluid mechanics, aerodynamics, and material science. It is also used to express other physical quantities such as stress, strain, and modulus of elasticity.
This means that one atmosphere is equal to 101325 pascals. To convert pascals to atmospheres, you can divide the pressure value in pascals by 101325.
For example, to convert 500000 Pa to atm:
500000 Pa / 101325 = 4.93 atm (rounded to two decimal places)
Therefore, 500000 Pa is approximately equal to 4.93 atm.
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A box weighing 25 N is lifted to a height of 1.1 m by sliding it up a ramp 3.2 m long. The person pushing the box exerts a force of 9.9 N.
What is the mechanical advantage of the ramp?
b. What is the machine's efficiency?
5. What is the power of a crane that lifts a 120 N load 14 m in 3.6 s?
Answer:
a. The mechanical advantage of the ramp is:
Mechanical advantage = length of ramp / height
Mechanical advantage = 3.2 m / 1.1 m
Mechanical advantage = 2.91
b. The efficiency of the machine is the ratio of output work to input work, expressed as a percentage. In this case, the output work is the work done on the box (force x distance), which is:
Output work = force x distance
Output work = 25 N x 1.1 m
Output work = 27.5 J
The input work is the work done by the person pushing the box, which is:
Input work = force x distance
Input work = 9.9 N x 3.2 m
Input work = 31.68 J
The efficiency of the machine is:
Efficiency = (output work / input work) x 100%
Efficiency = (27.5 J / 31.68 J) x 100%
Efficiency = 86.8%
Therefore, the efficiency of the machine is 86.8%.
c. The power of the crane is given by the formula:
Power = work / time
where work is the product of force and distance, and time is the duration over which the work is done.
In this case, the work done by the crane is:
Work = force x distance
Work = 120 N x 14 m
Work = 1680 J
The time taken to lift the load is 3.6 s. Therefore, the power of the crane is:
Power = work / time
Power = 1680 J / 3.6 s
Power = 466.7 W
Therefore, the power of the crane is 466.7 watts.
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Explanation:
For our first example of motion in a plane, suppose you are operating a radio-controlled model car on a vacant tennis court. The surface of the court represents the x-y plane, and you place the origin at your own location. At time t1=2. 0s the car has x and y coordinates (4. 0 m, 2. 0 m), and at time t2=3. 1s it has coordinates (7. 0 m, 6. 0 m). For the time interval from t1 to t2, find (a) the components of the average velocity of the car and (b) the magnitude and direction of the average velocity.
1) Suppose you reverse the car’s motion, so that it retraces its path in the opposite direction in the same time. Find the x-component of the average velocity of the car.
2) Find the y-component of the average velocity of the car.
3) Find the magnitude of the average velocity.
4) Find the direction of the average velocity
1) The x-component of the average velocity of the car is -3.0 m/s
2) The y-component of the average velocity of the car is 4.0 m/s
3) The magnitude of the average velocity is 5.0 m/s
4) The direction of the average velocity is 126.9 degrees
How did we get the values?(a) The components of the average velocity of the car are:
Average velocity in x-direction = (change in x-coordinate) / (time interval) = (7.0 m - 4.0 m) / (3.1 s - 2.0 s) = 3.0 m/s
Average velocity in y-direction = (change in y-coordinate) / (time interval) = (6.0 m - 2.0 m) / (3.1 s - 2.0 s) = 4.0 m/s
(b) The magnitude and direction of the average velocity can be found using the Pythagorean theorem and trigonometry. The magnitude is:
|average velocity| = sqrt((average velocity in x-direction)^2 + (average velocity in y-direction)^2)
= sqrt((3.0 m/s)^2 + (4.0 m/s)^2)
= 5.0 m/s
The direction of the average velocity is:
theta = arctan(average velocity in y-direction / average velocity in x-direction)
= arctan(4.0 m/s / 3.0 m/s)
= 53.1 degrees (measured counterclockwise from the positive x-axis)
So the magnitude of the average velocity is 5.0 m/s, and its direction is 53.1 degrees counterclockwise from the positive x-axis.
When the car retraces its path in the opposite direction in the same time, the change in the x-coordinate is negative. Therefore, the x-component of the average velocity is:
Average velocity in x-direction = (change in x-coordinate) / (time interval) = (4.0 m - 7.0 m) / (3.1 s - 2.0 s) = -3.0 m/s
The y-component of the average velocity does not change when the car retraces its path, so it is still 4.0 m/s.
The magnitude of the average velocity is still 5.0 m/s, because it depends only on the change in the x-coordinate and y-coordinate, which are the same regardless of the direction of motion.
The direction of the average velocity is now 126.9 degrees counterclockwise from the positive x-axis, because the car is moving in the opposite direction along the same line.
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what is the frequency of a 90 kev x-ray photon?
The frequency of a 90 keV X-ray photon is [tex]2.175 \times 10^{19} \ Hz[/tex].
The frequency of an X-ray photon can be determined using the Planck-Einstein relation, which states that the energy of a photon is directly proportional to its frequency. The equation is:
E = h * f
where E is the energy of the photon, h is Planck's constant
([tex]6.626 \times 10^{-34}[/tex] J s), and f is the frequency of the photon.
To find the frequency of a 90 keV X-ray photon, we need to convert the energy from keV (kiloelectron volts) to joules, since the units of Planck's constant are in joule-seconds. We can do this by multiplying the energy in keV by the electron charge ([tex]1.602 \times 10^{-19 }[/tex]C) to convert it to joules:
90 keV * (1[tex]1.602 \times 10^{-19 }[/tex] C) = [tex]1.4428 \times 10^{-14}[/tex] J
Now we can use the Planck-Einstein relation to find the frequency:
E = h * f
f = E / h
f = [tex]1.4428 \times 10^{-14}[/tex] / ([tex]6.626 \times 10^{-34}[/tex] J s)
f =[tex]2.175 \times 10^{19}[/tex] Hz
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A bullet of mass m1 is fired horizontally with a speed vo into the bob of a ballistic pendulum of mass m2. The pendulum consists of a bob attached to one end of a very light rod of length l. The rod is free to rotate about a horizontal axis through its other end. The bullet is stopped in the bob. Find the minimum vo such that the bob will swing through a complete circle
The minimum velocity vo required for the bob to swing through a complete circle is:
[tex]vo = \sqrt\frac{(m1v02 + m2v02 - m2g2l2)}{m1}[/tex]
Using conservation of energy, we can solve for the minimum velocity required for the bob to swing through a complete circle.
The total initial energy of the system is:
[tex]Ei =\frac{1}{2} m1v02 +\frac{1}{2} m2v02[/tex]
The total final energy of the system is:
[tex]Ef = \frac{1}{2} m2vf2 + mg2l2[/tex]
where vf is the velocity of the bob after the collision and g is the gravitational acceleration.
Equating the initial and final energy, we have:
[tex]\frac{1}{2}m1v02 +\frac{1}{2} m2v02 =\frac{1}{2}m2vf2 + mg2l2[/tex]
Solving for vf, we have:
[tex]vf = \sqrt{} \frac{(m1v02 + m2v02)}{m2 - g2l2}[/tex]
The minimum velocity required for the bob to swing through a complete circle is given by the expression:
[tex]vo = \sqrt \frac{(m2vf2 + mg2l2)}{m1}[/tex]
Substituting the expression for vf, we have:
[tex]vo = \sqrt{ \frac{(\frac{m2(m1v02 + m2v02)}{m2 - g2l2})}{m1}[/tex]
[tex]vo = \sqrt\frac {(m1v02 + m2v02 - m2g2l2)}{m1}[/tex]
Therefore, the minimum velocity vo required for the bob to swing through a complete circle is:
[tex]vo = \sqrt\frac{(m1v02 + m2v02 - m2g2l2)}{m1}[/tex]
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Find the equivalent resistance between points A and B in the drawing (R1 = 5.00 Ω, R2 = 7.00Ω)
The equivalent resistance between points A and B in the circuit is 9.844 Ω.
What is a resistor?A resistor is an electronic component designed to provide resistance to the flow of electric current in an electronic circuit. Resistors are passive components, meaning they do not amplify or switch the current, but instead they regulate the flow of current by impeding the flow of electrons.
To find the equivalent resistance between points A and B in the circuit, we can use a combination of series and parallel resistors.
First, we can combine resistors R1 and R2 in parallel to get an equivalent resistance:
1/R_eq = 1/R1 + 1/R2
1/R_eq = 1/5 + 1/7
1/R_eq = 0.4 + 0.1429
1/R_eq = 0.5429
R_eq = 1/0.5429
R_eq = 1.844 Ω (rounded to 3 decimal places)
The two resulting resistors, R3 and R_eq, are in series with each other, so we can add their resistances to get the total equivalent resistance:
R_total = R3 + R_eq
R_total = 8.00 Ω + 1.844 Ω
R_total = 9.844 Ω
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