The x-component of the total momentum of the system at time t can be expressed as [tex]m_{1} v_{1} (t)+ m_{2} v_{2} (t)[/tex] in terms of m1 , m2 , v1(t) , and v2(t) .
The momentum of the body is represented as the product of its mass and velocity;
p= m×v
Where, m is the mass of a particle and v is its velocity
The momentum of the whole system is the vector sum of individual momentum of all the particles, which can be represented as
[tex]p_{net}[/tex]=[tex]p_{1}[/tex] + [tex]p_{2}[/tex] + [tex]p_{3}[/tex] +...
The X-component of the momentum of the system is:
[tex]p_{net}[/tex] (x) = [tex]m_{1} v_{1}[/tex](t)+ [tex]m_{2} v_{2}[/tex](t)
Hence, the total momentum of the system of particles will be [tex]m_{1} v_{1} (t)+ m_{2} v_{2} (t)[/tex].
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A series lr circuit contains an emf source of 14 v having no internal resistance, a resistor, a 34 h inductor having no appreciable resistance, and a switch. If the emf across the inductor is 80% of its maximum value 4. 0 s after the switch is closed, what is the resistance of the resistor?.
Resistance of the resistor is 1.9 ohms.
Voltage across inductor after 4 sec = Ve^(-Rt/L) = 14*e^(-R*4/34)
given VL = 0.8V = 0.8*14 = 11.2 Volts
so we have
11.2 = 14*e^(-R*4/34)
or
0.8 = e^(-2R/17)
or
-2R/17 = ln(0.8)
or
R = -17ln(0.8)/2
= 1.896 ~ 1.9 ohms
1.9 ohms
Resistance is a degree of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized with the aid of the Greek letter omega (Ω).
Resistance measures how properly a material or item conducts energy. Low resistance approach the object conducts electricity well, excessive resistance method the object does not behavior electricity well.
If the temperature and other physical variables stay regular, the resistance of a conductor is exactly proportional to its duration. It manner that R ∝ l , i.e., if the duration rises, the resistance increases as properly, and if the duration reduces, the resistance lowers as properly.
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TRUE/FALSE. to minimize cost, a multi-plant firm would never produce at a plant with an increasing marginal cost when another plant with a decreasing marginal cost is available.
A multi-plant company would never produce at a plant with an increasing marginal cost if a plant with a decreasing marginal cost was available in order to reduce costs.
Which of the following is true about marginal cost?When another facility with a lowering marginal cost is available, a multi-plant company would never manufacture at that plant in order to reduce costs.The incremental cost of one unit is known as marginal cost.Marginal cost is the extra expense involved while generating an additional unit of product.Your business should increase production levels to increase efficiency and total profit if marginal revenue exceeds marginal cost.Your company should reduce production levels to prevent a loss of profit if marginal cost exceeds marginal revenue.The marginal cost is at its lowest and the marginal product is at its highest point.
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the bar moves the instance after the switch is closed, assuming the force of gravity is directed into the paper, what is the height the bar goes to?
According to Newton's third law of motion, the height that a bar can be lifted against the pull of gravity is represented by an experienced force that is both equal in strength and directed.
What is gravity?Gravity, which means "weight" in Latin, is a basic interaction in physics that causes all objects with mass and energy to attract one another. The force that pulls items toward the center of a planet or even other entity is called gravity. Each of the planets are kept into the sun's orbit by gravity. Every physical thing in the universe is subject to the gravitational force, which is also known as gravitation. The gravity force tends to draw any two objects and particles with nonzero mass toward one another. With subatomic particles to galaxy clusters, gravity affects things of all sizes.
What force is a gravity?Any objects with mass are attracted to one another by the gravitational force, which is an attractive force whose magnitude is directly related to a masses of a two objects & inversely related to the square of their distance from one another.
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A net force of 9,079 N i applied to a car having ma of 1,447 kg. Find the acceleration of the car
Answer:
[tex] \Huge{\boxed{6.27 m/s²}} [/tex]
Explanation:
The acceleration of the car given it's mass and the force acting on it can be found by using the formula
[tex] acceleration = \frac{force}{mass}\\ [/tex]
From the question
force = 9079 N
mass = 1447 kg
We have
[tex] acceleration= \frac{9079}{1447}\\ = 6.27436 [/tex]
We have the final answer as
6.27 m/s²what is the mass of a solid iron wrecking ball of radius 18 cm? density of iron is 7800 g/l. answer in kg.
The unknown mass of solid wrecking ball is 545.21
What is mass?
mass is a quantitative measure of inertia , a fundamental property of all matter . mass depends on the number and kind of atoms.
It is a dimensionaless quantity.
Sol-
As per the given question
220 g of water added to 90°c
Mass of water=10°C
Tempreture of the mixture =33°C
Unknown mass-
m1 (n-t)= m2(t-b)
220(90-33)=m2(33-10)
:- (we can also do multiple of cp but as both side of the cp fluid unit are same so it's not needed)
220×57=m2 (23)
m2= 220×57/23
m2 =545.21
Thus the unknown massof water is 545.21 .
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What are 5 differences between cellular respiration and photosynthesis?.
The 5 differences between cellular respiration and photosynthesis are mentioned below.
In Cellular respiration,
Occurs in all living organismThe entire process takes place in mitochondriaIt undergoes catabolic processIt is an exergonic reaction as energy is releasedIt does not require sunlightIn Photosynthesis,
Occurs only in phototrophsThe entire process takes place in ChloroplastsIt undergoes anabolic processIt is an endothermic reaction as energy is taken inIt requires sunlightTherefore, 5 differences between cellular respiration and photosynthesis are mentioned above.
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A solid cylinder (i  mr2/2) has a string wrapped around it many times. when i release the cylinder, holding on to the string, the cylinder falls and spins as the string unwinds. what is the downward acceleration of the cylinder as it falls?
The downward acceleration of the solid cylinder as it falls will be 2g/3.
Let the mass of cylinder be m and radius of it is r.
So, the moment of inertia of cylinder, I= 1/2 mr²
Formula: torque = moment of inertia angular × acceleration
force × displacement = (1/2)mr² × (a/r)
We know that linear acceleration(a) = radius × angular acceleration
T × r = (1/2) × m×r×a
T= 1/2 ma
Net force= m×a
Weight - Tension = m×a
mg - (1/2)ma = ma
mg = (3/2)ma
a = 2g/3
Hence, the downward acceleration of the cylinder as it falls will be 2g/3.
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according to aristotle for someone to perform a virtuous action, three criteria must be true of them. these criteria are listed in the fourth chapter of book 2 of the nicomachean ethics
To perform a virtuous action, three criteria must be true of them are
They know they are behaving in the right way.They choose to behave in the right way for being virtuous.Their behavior shows the part of a fixed and virtuous disposition.This is from the book 2 of the nicomachean ethics, the fourth chapter.
What is a virtuous action?A virtuous action is an action of a kind or certain quality. A virtuous person must also have certain characteristic and be in a certain frame of mind.
According to Aristotle in the book II of the nicomachean ethics, chapter IV, performing a virtuous action must meet three criteria mentioned above.
The action is called virtuous when it is a kind of action that a virtuous person would perform. However, someone who performs a virtuous action is not necessarily theirselves virtuous.
The virtuous person knows well the action is the right thing to do in the conditions and they do it for the right motive.
In conclusion, a person becomes virtuous through the performance of virtuous actions.
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Mass of the Milky Way's Halo. The Large Magellanic Cloud orbits the Milky Way at a distance of roughly 160,000 light-years from the galactic center and a velocity of about 300 km/s. Use these values in the orbital velocity law (Mathematical Insight 19.1) to estimate the Milky Way's mass within 160,000 light-years from the center. (The value you obtain is a fairly rough estimate because the orbit of the Large Magellanic Cloud is not circular.)
The approximate mass of the galaxy within 160,00 light-years of the center is 2.0x10^42 kilograms.
To find the mass within 160,000 light-years of the center of the galaxy, we will use the orbital velocity law:
M(r)= (rv^2)/G
To use this law, we need to convert the radius and the speed of the Large Magellanic Cloud into meters and meters per second. We are told that the orbital radius is 160,000 light-years. Since 1 light-year is 9.46x10^15 meters, this is the same as 1.51x10^21 meters. The speed is given as 300 kilometers per second, which we can easily convert to 3.0x10^5 meters per second. Putting the given values into the orbital velocity law, we learn that the approximate mass of the galaxy within 160,00 light-years of the center is 2.0x10^42 kilograms, or about 1 trillion times the mass of the Sun.Hence, mass of the galaxy within 160,00 light-years of the center is 2.0x10^42 kilograms.
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a coil 4.15 cmcm in radius, containing 500 turns, is placed in a uniform magnetic field that varies with time according to b
As a result, the magnetic field changes throughout time. The coil's resistance is 640 ohms.
What is magnetic field?An electric charge, an electric current, and magnetic materials are all affected magnetically by a magnetic field, which is a vector field. A moving charge in a magnetic field is subject to a force that is perpendicular to the magnetic field and has its own speed. The magnetic field is the area that is affected by magnetism and is located around a magnet. When describing the distribution of the magnetic force within and around a magnetic object in nature, the magnetic field is a useful tool.
How does the magnetic field work?Similar poles repel one another, whereas diametrically opposed poles are attracted together. When an iron object is brushed against a magnet, its atoms' north-seeking poles align in the same direction. The force that the aligned atoms generate creates a magnetic field. The iron object has transformed into a magnet.
Briefing:Given that,
Coil's radius, r = 4.2 cm
N is the coil's turn count, which is 500.
The following equation provides the magnetic field:
The coil's resistance is 640 ohms.
The size of the coil's induced emf as a function of time must be determined. It's origin is:
Due to that,
Coil's radius, r = 4.2 cm
N is the coil's turn count, which is 500.
The magnetic field is described by the formula:
B=1.2×〖10〗^(-2) t+2.6×〖10〗^(-5) t^4
The coil's resistance is 640 ohms.
The size of the induced emf in the coil as a function of time must be determined. It is provided by:
€=(-dΦ)/dt
€=(-d(NBA))/dt
€=Nπr^2 (-dB)/dt
€=Nπr^2×(-d(1.2×〖10〗^(-2) t+〖2.6×10〗^(-5) t^4)/dt
€=Nπr^2×(1.2×〖10〗^(-2) t+10.4×〖10〗^(-5) t^3
€=500π×(4.2×〖10〗^(-2) )^2×(1.2×〖10〗^(-2)+10.4×〖10〗^(-5) t^3)
€=2.77(1.2×〖10〗^(-2)+10.4×〖10〗^(-5) t^3 )V
This is the necessary solution as a result.
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The correct the question
A coil 4.20 cm radius, containing 500 turns, is placed in a uniform magnetic field that varies with time according to B=( 1.20×10−2 T/s )t+( 2.60×10−5 T/s4 )t4. The coil is connected to a 640-Ω resistor, and its plane is perpendicular to the magnetic field. You can ignore the resistance of the coil.
a)Find the magnitude of the induced emf in the coil as a function of time.
Use the worked example above to help you solve this problem. A steel strut near a ship's furnace is 1.80 m long, with a mass of 1.59 kg and a cross-sectional area of 1.00 x 10-4 m2. During operation of the furnace, the strut absorbs thermal energy in a net amount of 2.50 x 105 j. (a) Find the change in temperature of the strut. ос (b) Find the increase in length of the strut. m (c) If the strut is not allowed to expand because it's bolted at each end, find the compressional stress developed in the strut. Pa
Change in temperature is 367 . 13 ° C,increase in length of the strut is 0 . 00828 m and compressional stress developed in the strut is 8. 077 x 10⁸ Pa
a ) Q = CmΔT
ΔT =Q/cm = 2 5 0 x 1 0⁵ J/( 4 4 8 J / kq c ) (1 .52 kg )
= 367 . 13 ° C
( b ) ΔL = XL₀ΔT
= ( 1 1 x 10 - 6 0 c ) X ( 2 . 05 m ) ( 367.13 0 )
= 0 . 00828 m
C ) f = YΔL/L = ( 2 x 10 +"Pa) * 0.00828
2 .05
= 0.00807 7 X 10"
= 8. 077 x 10⁸ Pa
Any type of change that puts strain on the body, mind, or emotions is considered to be stressful. Your body will react with stress whenever something needs your focus or attention. To some extent, everyone is under stress. However, how you handle stress has a significant impact on how you feel overall. The degree of stress that may be experienced generally increases with temperature change. Thermal stress is the name for the stress that results when a temperature-based force is applied. It happens when a change in temperature causes an object to grow or shrink.
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What is dark matter and why is it important?.
The Universe's most enigmatic, non-interacting substance is dark matter. The spinning of galaxies, cluster dynamics, and the biggest scale-structure in the entire Universe can all be attributed to its gravitational forces.
The mysterious motions of stars within galaxies will be able to be explained when dark matter is completely comprehended. Whether the universe is open (continues to expand), closed (expands and then collapses), or flat will depend on the presence of dark matter (expands and then stops).
It is estimated that dark energy is responsible for 73% of the universe's total mass and energy. Dark matter makes up another 23% of the universe, leaving only 4% of it to be made up of ordinary matter like stars, planets, and people.
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suppose a telescope has two eyepieces: eyepiece a with focal length 10 mm and b with 20 mm. suppose the magnifying power with eyepiece a is 200. what is the magnifying power with eyepiece b? hint: it is an inverse (opposite) relationship between power and focal length.
With eyepiece b, the magnification is 100.
What distinguishes a telescope's 10 mm and 20 mm lenses?Simply dividing the focal length of the telescope by the focal length of the eyepiece yields the magnification. This implies that a higher magnification is provided by a smaller number on an eyepiece. The magnification offered by a 10mm eyepiece would be twice that of a 20mm eyepiece.
What is magnifying and how is it calculated?The ratio of the image's height to the object's height is represented by the formula for magnification. Additionally, the letter "m" stands for the object's magnification. Additionally, its formula is Magnification (m) is equal to h/h. Here, h is the object's height and h' is its the item's height.
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What energy is similar to solar energy?.
A source than won't run out of energy is considered to be a renewable supply. They are self-renewing and natural, and often leave no or very little carbon imprint.
Why is energy considered renewable?converting fossil fuels into energy while not releasing any greenhouse gases and reducing some types of air pollution. reducing dependency on imported fuels and increasing the variety of energy sources. creating new jobs in manufacturing, installation, as well as other sectors while expanding the economy.
what is The effectiveness of renewable energyIn terms of energy savings, renewable energy typically outperforms non-renewable energy. Without relying on such a finite or, we may recycle the energy we receive from the sun, wind, and hydroelectric tur exhaustible resourcebines. After the electricity is generated, we must then consider the final product.
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The figure shows a 26-cm-diameter loop in three different magnetic fields. The loop's resistance is 0.21 ?
Part A In (Figure 1), what are the size and direction of the induced current? Express your answer to two significant figures and include the appropriate units.
Part B
a.) The loop current direction is cw.
b.) The loop current direction is ccw.
c.) There is no induced current.
Part C In (Figure 2), what are the size and direction of the induced current? Express your answer to two significant figures and include the appropriate units.
Part D
a.) There is no induced current.
b.) The loop current direction is cw.
c.) The loop current direction is ccw.
Part E In (Figure 3), what are the size and direction of the induced current? Express your answer to two significant figures and include the appropriate units.
Part F
a.) Out at top, in at bottom
b.) In at top, out at bottom
c.) There is no induced current
The size and direction of the induced current of a 26-cm-diameter loop are - 126.3 mA and counterclockwise.
A = π r²
A = Area
r = Radius
d = 26 cm = 0.26 m
r = d / 2
r = 0.26 / 2
r = 0.13 m
A = 3.14 * 0.13²
A = 53.066 * 10⁻³ m²
EMF = ( - ΔB / Δt ) A
EMF = Electromotive force
ΔB = Change in magnetic field
Δt = Change in time
ΔB / Δt = 0.5 T / s
EMF = - 0.5 * 53.066 * 10⁻³
EMF = - 26.53 * 10⁻³ V
I = V / R
I = - 26.53 * 10⁻³ / 0.21
I = - 126.3 * 10⁻³ A
I = - 126.3 mA
Therefore, the size and direction of the induced current are - 126.3 mA and counterclockwise.
The given question is incomplete. The complete question is:
The figure shows a 26-cm-diameter loop in three different magnetic fields. The loop's resistance is 0.21 ?
In (Figure 1), what are the size and direction of the induced current? Express your answer to two significant figures and include the appropriate units. Figure 1 is shown in the image attached.
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four identical point masses are arranged on two crossed beams in four different configurations as shown. rank these configurations from lowest to highest total moment of inertia about an axis into / out of the screen through the crossing point of the beams.
The indicate alkanes in terms of e/z stereoisomer configuration is classified.
What is stereoisomer classification?
Stereoisomer are the molecule that have the same molecular formula and sequence of bonded atoms.
It have chemical bond but they have different spital arrangments. Stereoisomer have two types
configuration and conformational.
Sol-
Stereoisomer of alkanes A is Z higher priority in each carbon oriented.
Thus the stereochemisty of alkanes C can be classified as Z.
And the stereochemisty of alkanes D is classified as non of either as per the question.
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what happens to the tension in the string if the ping-pong ball is replaced by a smaller spherical object of equal weight?
The tension in the string increases in the string if the ping-pong ball is replaced by a smaller spherical object of equal weight.
What is tension?
When two opposing forces pull on a rope, string, or wire, the force transmitted through the object is known as tension. The energy is pulled equally on the bodies at the ends by the tension force, which is applied along the entire length of the wire. Each physical object that comes into contact with another applies force to that object.
What is weight?
weight is the gravitational pull of a large second object, like the Moon or the Earth, on a first object.
The concepts required to solve the given question is tension in the string.
Initially, write an expression for the tension in terms of the volume, density of liquid, and the density of solid. Later, compare the tension on basis of the density of matter. Finally, compare the tension on basis of the weight of the spherical ball.
The expression for the tension in terms of the volume, density of liquid, and the density of solid is as follows:
T= v (P₁-Ps)
Here, V is the volume,
P₁ is the density of liquid, and
Ps is the density of solid.
Step: 1
The tension in the equation
T= v (P₁-Ps)
is directly proportional to the volume, density of liquid, and the density of solid. Thus, as the density of liquid increases, the tension increases. Thus, the tension in the string neither decrease nor remains same.
Explanation:
As the density of liquid increases, the tension increases. Thus, the tension in the string neither decrease nor remains same. After adding the salt to the water, the density of liquid increases.
Hint
Calculate that the tension increase using the equation
T= v (P₁-Ps)
Step: 2
Form the equation
T= v (P₁-Ps)
, it is clear that the tension increases with increase in the density of the liquid. After adding salt to water, the density of liquid increases. Hence, the tension in the string also increases.
Explanation:
The Tension will decrease as the volume displaced will decrease. Thus, the tension in the string neither decrease nor remains same. After adding the salt to the water, the density of liquid increases.
Hint:
Find whether the tension increase, decreases or does not change using the equation
T= v (P₁-Ps)
Step: 3
The weight of the spherical balls is same but the volume is decreased, Therefore, in the second terms of the equation
T= v (P₁-Ps)
, the density of the solid remains constant, but, the density of the liquid decreases. Therefore, the net tension in the string neither increases not remains same.
Explanation:
In the second terms of the equation
T= v (P₁-Ps)
, the density of the solid remains constant, but, the density of the liquid decreases.
Hint:
Find that the tension decreases using the equation
.T= v (P₁-Ps)
Step: 4
The weight of the spherical balls is same but the volume is decreased, Therefore, in the second terms of the equation
T= v (P₁-Ps)
, the density of the solid remains constant, but, the density of the liquid decreases. Therefore, the net tension decreases.
Explanation:
The density of the solid remains constant, but, the density of the liquid decreases. Therefore, the net tension decreases.
Therefore, the tension in the string increases in the string if the ping-pong ball is replaced by a smaller spherical object of equal weight.
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what is the average flow rate in cm3/s of gasoline to the engine of a car traveling at 116 km/h if it averages 10.7 km/l?
The Average flow rate is 2.595cm^3/s.
What is average flow rate?
The fluid flow rate is the volume of fluid per unit time that passes by a point in area A. In the shaded cylinder, the fluid passes point P in a uniform pipe over the course of time t. The cylinder's volume is Ad, its average velocity is v=d/t, and its flow rate is therefore Q=Ad/t=A v.
What is speed?
The rate at which the position of an object changes in any direction The distance traveled in relation to the time required to travel that distance is known as speed. Speed is a scalar quantity because it only has a direction and no magnitude.
The average flow rate is calculated by divide the speed (v) by mileage (z),
Average flow rate= V/Z
Here, V stands for speed and Z stands for mileage.
=100/10.7
=9.345
= 9.345(1000)/1(3600)
=2.595cm^3/s
Therefore, the Average flow rate is 2.595cm^3/s.
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The measurement of ________ compares the density of urine to the density of water.
The measurement of specific gravity compares the density of urine to the density of water.
Specific gravity, also known as relative density, is the ratio of a substance's density to that of a standard substance.
Urine specific gravity (USG) is a measurement of the particle concentration in urine as well as the density of urine in comparison to the density of water. Measuring USG is a quick and easy way to determine a patient's hydration status as well as kidney function. The more concentrated the urine, the higher the urine specific gravity.
Your healthcare provider will consider the density of your urine in relation to the density of water. In other words, the specific density of water is 1.000. If your kidneys are working properly, your urine specific gravity should be between 1.002 and 1.030.
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(chapter 8) light reflecting from a surface, measured in candela per square meter (cd/m2) or foot lamberts (fl) is known as:
Light reflecting from a surface, measured in candela per square meter (cd/m2) or foot lamberts (fl) is known as Luminance.
Define Luminance?
Measurement of the amount of light that is emitted, transmitted through, or reflected from a surface at a solid angle is referred to as luminance. Additionally, it shows how much light intensity the human eye is capable of perceiving. The brightness of displays is measured in the display business using luminance.Luminance can be measured in a number of different ways. The unit of brightness in the International System of Units (SI) is candela/square meter (cd/m2) or foot lamberts (fl).
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a double-slit interference pattern is observed on a screen 1.0 m behind two slits spaced 0.30 mm apart. from the center of one particular fringe to the center of the ninth bright fringe from this one is 1.6 cm. what is the wavelength of light?
The wavelength of the light is 530 nm.
Given that
Distance D= 1.0 m
Distance between slits d= 0.30 mm
Number of fringe = 9
Width = 1.6 cm
Using formula of angle
tan θ = y/d
tan θ = 1.6 × [tex]10^{-2}[/tex]
θ = [tex]tan^{-1}[/tex] ( 1.6 × [tex]10^{-2}[/tex] / 1)
θ = 0.91 degree
By Using formula of wavelength
d sinθ = mλ
λ = d sinθ/m = 0.30 × [tex]10^{-3}[/tex] × sin0.91 /9
λ = 5.29 × [tex]10^{-7}[/tex]
Hence, The wavelength of the light is 530 nm.
The distance over which a periodic wave's shape repeats is known as its wavelength. It is a property of both traveling waves and standing waves, as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two neighboring crests, troughs, or zero crossings. The spatial frequency is the reciprocal of the wavelength. The Greek letter lambda () is frequently used to denote wavelength.
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A kangaroo
of mass 90kg
jumps with an initial velocity of
5m/s. Calculate the maximum:
gravitational energy of the
kangaroo when it reaches its
highest point?
The maximum gravitational energy of the kangaroo of mass 90kg jumps with an initial velocity of 5 m /s when it reaches its highest point is 1125 J
v² = u² + 2 a s
At the highest point,
v = 0
u = 5 m / s
a = - 9.8 m / s²
0 = 5² + 2 ( - 9.8 ) s
19.6 s = 25
s = 1.28 m
U = m g h
m = 90 kg
U = 90 * 9.8 * 1.28
U = 1125 J
Therefore, the maximum gravitational energy of the kangaroo when it reaches its highest point is 1125 J
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a0.155 kg arrow is shot from ground level, upward at 31.4 m/s. what is its kinetic energy (ke) when it is 30.0 m above the ground ?
The kinetic energy (KE) of a 0.155 kg arrow that is shot from ground level, upward at 31.4 m/s, when it is 30.0 m above the ground is 30.85 J
Assuming air friction is negligible,
a = - 9.8 m / s²
u = 31.4 m / s
s = 30 m
v² = u² + 2 a s
v² = 31.4² + ( 2 * - 9.8 * 30 )
v² = 985.96 - 588
v² = 397.96 m / s
KE = 1 / 2 m v²
KE = 1 / 2 * 0.155 * 397.96
KE = 0.0775 * 397.96
KE = 30.85 J
Therefore, the kinetic energy ( KE ) when it is 30.0 m above the ground is 30.85 J
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you are driving along a country road when you suddenly notice a log in the road ahead of you and immediately apply your brakes. you travel a distance of s(t)
a. The car will not hit the tractor.
b. The car would travel a distance of 52.07 m before stopping
c. At the moment when the car stopped, the tractor is 11.5 m in front of the car.
Linear motion
From the question, we are to determine of you will hit the tractor before you stop
First, we will determine the time it will take the car to stop
From the given information,
Initial velocity, u = 27.0 m/s
a = -7 m/s² (Negative sign indicates deceleration)
v = 0 m/s (Since the car will come to stop)
From one of the equations of linear motion,
v = u + at
Where v is the final velocity
u is the initial velocity
a is the acceleration
and t is the time taken
Putting the parameters into the equation, we get
0 = 27 + (-7)t
7t = 27
t = 27/7
t = 3.857 secs
This is the time it will take the car to stop
Now, we will determine the distance the car would travel after applying the brakes
Using the formula
S = (u + v) / t
Where S is the distance traveled
S = [(27 + 0) / 2] * 3.857
S = 13.5 * 3.857
S = 52.0695 m
S ≅ 52.07 m
This means the car would travel 52.07 m after applying the brakes
Now, we will determine the distance the tractor would have traveled when the car came to a stop
Speed of the tractor = 10.0 m/s
Time taken for the car to stop = 3.857 secs
Using the formula,
Distance = Speed × Time
Distance = 10.0 × 3.857
Distance = 38.57 m
Now, we will determine the distance between the car and the tractor when the car finally stopped
Distance between the car and the tractor = Distance ahead + Distance traveled by the tractor after the car stopped - Distance traveled by car after applying the brakes
Distance between the car and the tractor = 25 m + 38.57 m - 52.07 m
Distance between the car and the tractor = 11.5 m
Therefore, the distance the tractor was ahead of the car + the distance the tractor traveled after the car stopped is more than the distance the car traveled after applying the brakes (25 m + 38.57 m > 52.07), the car will not hit the tractor.
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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS: You are driving your car along a country road at a speed of 27.0 m/s. as you come over the crest of a hill, you notice a farm tractor 25.0 m ahead of you on the road, moving in the same direction as you at a speed of 10.0 m/s. you immediately slam on your brakes and slow down with a constant acceleration of magnitude 7.00 m/s2 .
a.will you hit the tractor before you stop?
b.how far will you travel before you stop or collide with the tractor?
c.if you stop, how far is the tractor in front of you when you finally stop?]
What type of modification affects an organism's expressed characteristics while leaving its DNA sequence unchanged?.
A frameshift mutation alters the open reading frame of a DNA sequence by adding or removing nucleotides. A deletion is a mutation that occurs when one nucleotide from the DNA sequence is removed.
Frameshift mutations, which alter the ribosome reading frame and cause premature translation termination at a new nonsense or chain termination codon, are deletions or additions of 1, 2, or 4 nucleotides (TAA, TAG, and TGA).
The reading frame, a grouping of nucleotides, might shift out of alignment as a result of mutations (changes in the DNA sequence), rendering the gene sequence unintelligible. Insertions (the addition of extra nucleotides) and deletions (the loss of one or more nucleotides) are the two different kinds of frameshift mutations.
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the electromagnetic spectrum of light can also be arranged int erms of wavelengths which one of the following has the kingest wavekength
The greatest energy, shortest wavelengths, and highest frequency are found in gamma rays. The lowest energy, longest wavelengths, and lowest frequencies of all EM radiation are found in radio waves.
Are people electromagnetic beings?Yes, radiation is produced by people. Most of the electromagnetic radiation that humans emit is infrared radiation, which has a frequency lower above visible light. This result does not just apply to people. Thermal radiation is produced by every item having a temperature greater than zero.
What exactly is electromagnetic energy?Radiant energy that moves in waves at the pace of light is known as electromagnetic energy. Radiant energy, electromagnetic waves, electromagnetic waves, illumination, or even the movement of irradiance are other names for it. Radiation from an electromagnetic field may transfer heat.
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in probleem 11, suppose passing truck drivers look to see how many trucks are weaiting to be weighed at hte weigh station if they see four or more terucks
If truck drivers see four or more trucks waiting to be weighed at the weigh station, they usually move on because they assume the wait time will be too long.
What is time?
In physics, the definition of time is determined by the instrument used to measure it. It is a scalar quantity in classical, non-relativistic physics and is frequently referred to as a fundamental quantity, along with length, mass, and charge. Mathematically, time and other physical quantities can be coupled to create additional ideas like motion, kinetic energy, and time-dependent fields. The basis of recordkeeping is timekeeping, a complex of scientific and technological challenges. The second is the unit of time in the International System of Units (SI). It has a definition of "the duration of 9,192,631,770 of a radiation related to the transition between two hyperfine levels of a ground state of the caesium 133 atom" and has been a SI base unit since 1967.
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i always thought nothing could escape from a black hole, yet astronomers are locating black hole candidates by the x rays they emit. how can x rays be
X-rays are a shape of electromagnetic radiation, just like seen light. not like mild, but, x-rays have better power and might bypass through most objects.
X-rays are normally produced in X-ray tubes through accelerating electrons via a capability difference and directing them onto a goal fabric, i.e. tungsten. The incoming electrons launch X-rays as they slowdown in the goal.
X-rays are a type of radiation called electromagnetic waves. X-ray imaging creates pictures of the interior of your frame. The pix show the parts of your frame in exclusive sun shades of black and white. that is due to the fact specific tissues absorb one-of-a-kind quantities of radiation.
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Answer:
B is the answer edge 2023 <3
Explanation:
Answer the following questions using the rules described in the presentation above to support your answer. 1) 0.0230 has how many significant figures? 2) How should you report 0.125 +1.25 = ?3) How should you report 3.2 * 2.45 = ?
The number 0.0230 has three significant figures, 0.125+1.25 will be reported as 1.375 and 3.2 x 2.45 will be reported as 7.8.
1. According to the standard rules, in the non-zero number, the numbers before the nonzero digits after the decimal are counted as significant figures.
So, 0.0230 has 3 significant figures.
2. In addition, of two decimal numbers, the final answer is always reported till the highest significant figure, hence,
0.125 + 1.25 will be reported as 1.375.
3. In multiplication of two decimal numbers, the final answer is reported till the least significant figure,
This is why, 2.45 x 3.2 s reported as 7.8.
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determine the force in member bd and the components of the reaction at c if the force applied at a is 330 n. (round the final answers to their nearest whole number.)
The force in member BD is 330 N, and the reaction at C consists of two components: 130 N along the x-axis and 200 N along the y-axis.
What is force?
A force is indeed an influence that really can alter an object's motion according to physics. A motion of an object to mass to accelerate when it changes its velocity, such as when it moves away from rest. An intuitive way to describe force is as a push or a pull. A force is a vector quantity because it has both direction and magnitude. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P). The net force acting on an object is proportional to the frequency that its momentum changes over time, according to Newton's second law in its original formulation.
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