Since this car moves at 45 kilometers per hour, an option which describes if the given value is speed or velocity include the following: D. speed, because there is no specific direction.
What is speed?In Science, speed can be defined as the distance covered by a physical object per unit of time. This ultimately implies that, speed is a scalar quantity because it has magnitude but no direction.
What is velocity?In Science, velocity can be defined as the distance covered by an object per unit of time in a specific direction. This ultimately implies that, velocity is a vector quantity because it has both magnitude and direction.
In this context, we can reasonably infer and logically deduce that a car that moves at 45 kilometers per hour describes speed rather than velocity, because there is no specific direction mentioned.
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Since no direction is specified, the correct answer is the last option which is speed, because there is no specific direction
Difference Between Speed and VelocitySpeed is a scalar quantity. That is, it has only magnitude but no direction. While velocity is a vector quantity. That is, it has both magnitude and direction.
If a car moves at 45 kilometers per hour, only the car magnitude is given but no direction.
The option that describes if the given value is speed or velocity is speed, because there is no specific direction
Therefore, the correct option is speed, because there is no specific direction.
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A cannonball is launched horizontally from the top of a 166 m
cliff with an original speed of 35.9 m/s.
Determine the horizontal displacement (in m) of the cannonball.
The horizontal displacement of the cannonball is 65.75 meter.
What is speed?Speed is characterized as the rate at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
original speed: u= 35.9 m/s.
acceleration due to gravity: g = 9.8 m/s².
Initial height of the cannonball = 166 m.
Hence, the horizontal displacement of the cannonball = u²/2g
= 35.9²/(2×9.8) meter
= 65.75 meter.
so, the displacement of the cannonball is 65.75 meter.
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what is the reading of the energy meter in figure 1 when an appropriate laser is used in pac to dissociate a particular chemical bond?
Because alkylbenzenes, phenols, and thiophenols all share an aromatic hydrocarbon constituent, the answer to this question is A.
Compounds 1 and 2 are both used to create liposomes, and their kinetics are controlled. Compound 1 are controlled kinetically, whereas those made from Compound 2 are controlled thermodynamically. UV lasers like nitrogen lasers (337 nm) and frequency-tripled and quadrupled Nd:YAG lasers are frequently used in MALDI methods (355 nm and 266 nm respectively). An artificial substrate for lactase is hydrolyzed to extract lactase from dietary supplement tablets, which is then measured using a colorimetric assay (ortho-nitrophenol-beta-D-galactopyranoside, ONPG). Because alkylbenzenes, phenols, and thiophenols all share an aromatic hydrocarbon constituent, the answer to this question is A.
The complete question is- What is the reading of the energy meter in Figure 1 when an appropriate laser is used in PAC to dissociate a particular chemical bond?
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1/lambda = R (1/m^2 - 1/n^2) If m =1, in what range are the wavelengths calculated from the generalized formula shown above? and if m =3, in what range are the wavelengths calculated from the generalized formula shown above? microwave (1 to 10^-4m) infrared ( 10^-3 to 7*10^-7m) visible (7*10^-7 to 4*10^-7m) ultraviolet (4*10^-7 to 10^-8m) X rays (10^-8 to 10^-13m)
The range of wavelength when m = 3 is λ = 8.20 x 10-7 m to 18.7 x 10-7 m (this belongs to infrared radiations).
The wavenumber of hydrogen spectral series is 1/λ = R(1/m2 – 1/n2)
Rydberg constant, R = 1.097 x 107 m-1
1. When m = 1 and n = 2, 1/λ = 1.097 x 107 x (1/12 – ½2) = 0.822 x 107
Wavelength, λ = 1.215 x 10-7 m
When m = 1 and n = ∞
, 1/λ = 1.097 x 107 x (1/12 – 0) = 1.097 x 107
Wavelength, λ = 0.911 x 10-7 m
The range of wavelength when m = 1 is λ = 0.911 x 10-7 m to 1.215 x 10-7 m (this belongs to ultra-violet radiations)
2. When m = 3 and n = 4, 1/λ = 1.097 x 107 x (1/32 – 42) = 0.0533 x 107
Wavelength, λ = 18.7 x 10-7 m
When m = 3 and n = ∞
1/λ = 1.097 x 107 x (1/32 – 0) = 0.122 x 107
Wavelength, λ = 8.20 x 10-7 m
The range of wavelength when m = 3 is λ = 8.20 x 10-7 m to 18.7 x 10-7 m (this belongs to infra-red radiations)
In physics, the wavelength is the spatial duration of a periodic wave—the distance over which the wave's shape repeats. it is the gap between consecutive corresponding points of the same section on the wave, including two adjoining crests, troughs, or 0 crossings, and is a feature of each traveling wave and standing wave, as well as other spatial wave patterns. The inverse of the wavelength is known as the spatial frequency. Wavelength is normally exact by means of the Greek letter lambda (λ). The time period wavelength is also now and again implemented to modulated waves, and to the sinusoidal envelopes of modulated waves or waves fashioned with the aid of interference of several sinusoids.
Assuming a sinusoidal wave shifting at a set wave speed, the wavelength is inversely proportional to the frequency of the wave: waves with better frequencies have shorter wavelengths, and decreased frequencies have longer wavelengths.
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Echolocation only works well when the object is as long as or longer than one wavelength of the sound produced.
a) Estimate the size of the smallest object a bat can detect using echolocation when the air temperature is 22 °C
The size of smallest object that a detect wing is 22°C bat can echolocation when air temperature is 31 mm.
Bat need to use because as high frequencies for echolocation compared to lower frequencies, higher. frequencies gives them more regarding size of the object in speed and frequency the prey direction of its waver are not early detailed information their path, range, pray. Also high detected by the prey.
For care the Jame of bat, dolphin frequency as explained in alio high radiation. Thus despite poor visibility under water, dolphin can high frequency and avoid to catch its wave it Predator. we there to find its path and to catch its prey and also to avoid its peredetor.
Bat sounds are emitted only during wing upbeat to minimize physiological costs. Air pressure in calls is just below blood pressure in lungs physiological maximum. FM is best for determining target distance Measure time delay between pulse and echo return FM sweep labels each part of pulse with a frequency value.
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What magnitude point charge (in C) creates a 16,000 N/C electric field at a distance of 0. 260 m?
C
How large (in N/C) is the field at 15. 0 m?
The magnitude of the point charge is 12.03 × 10⁻¹² C and the electric field at 15.0m is 4.63 × 10⁻² N/C.
A point charge creates a 16,000 N/C electric field at a distance equal to 0.260 m.
E = 16,000 N/C
r = 0.260 m
k = 8.99 × 10⁹
To calculate the point charge,
E = kq/r²
16000 = 8.99 × 10⁹ × q / (0.26)²
q = 16000 × 0.0676 / 8.99 × 10⁹
q = 10816 / 8.99 × 10⁹
q = 12.03 × 10⁻¹² C
When r= 15.0 m
E = kq/r²
E = 8.99 × 10⁹ × 12.03 × 10⁻¹² / (15)²
E = 0.4630 × 10⁻³
E = 4.63 × 10⁻² N/C
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3. Calculate the mass in the following scenarios (g-9.81 N/kg):
a) 1000 J and 10 m
b) 1250 J and 1 m
d) 1550 J and 0.02 m
e) 8900 J and 215 m
g) 98 J and 59 kg
h) 750 J and 0.75 m
c) 1.25 kJ and 90 m
f) 90 J and 1250 m
i) 5 kJ and 980 m
Hello there!
Formula: A = F * S = mg * S
So m = A/gS
a) m = 1000 J/(9.81 N/kg * 10 m) ≈ 10.194 kg
b) m = 1250 J/(9.81 N/kg * 1 m) ≈ 127.41 kg
d) m = 1000 J/(9.81 N/kg * 10 m) ≈ 7900.1 kg
e) m = 8900 J/(9.81 N/kg * 215 m) ≈ 4.22 kg
g) m = 98 J/(9.81 N/kg * 59m) ≈ 0.17 kg
h) m = 750 J/(9.81 N/kg * 0.75 m) ≈ 101.94 kg
c) m = 1.25 kJ/(9.81 N/kg * 90 m) = 1250 J/(9.81 N/kg * 90 m) ≈ 1.42 kg
f) m = 90 J/(9.81 N/kg * 1250 m) ≈ 0.007339 kg = 7.339 g
i) m = 5 kJ/(9.81 N/kg * 980 m) = 5000 J/(9.81 N/kg * 980 m) ≈ 0.52 kg
A 12 kg barrel is pulled up by a rope. The barrel accelerates at . Find the force exerted by the rope. Show all your work.
The solution is 14.4 N
Steps:
The given values are:
mass
m=12kg
Acceleration
a=1.2m/s²
As we know te formula
⇒force=mass×acceleration
By substituting the values we get,
⇒1.2×1.2
⇒14.4N
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Expression for kinetic energy is __________ while that of potential energy is __________
If a container is stressed beyond its limits of recovery and opens up, then it is in this event of the General Hazardous Materials Behavior Model.
A container is said to have breached when it has been overstressed beyond its point of recovery.
The GEBMO model enables a systematic evaluation of the outcomes that are most likely to occur when a hazardous material container is strained. Hazardous material containers typically have the capacity to hold that material under typical shipping, storage, and use circumstances. Thus, API gravity is a measure of the density of a petroleum liquid in relation to water (also known as specific gravity). It is used to compare petroleum liquid densities. For instance, if one petroleum liquid has a higher API gravity than another because it is less dense.Specific gravity (Sp.Gr. or SG) is the weight or density of a liquid or solid relative to water. Floaters and sinkers have specific gravities below that of water and are very immiscible with itTo know more about Hazard here
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How much would you have to pay SP Services if you
used two 40 W lamps and a 120 W television for 5 hour a
day for the month of April? (Assume the cost of 1 kWh
of energy to be 16 cents).
Answer:
$4.80
Explanation:
Total energy used is found with this formula:
[tex]E = Pt[/tex]
where:
[tex]E[/tex] is energy (in kilowatt-hours)
[tex]P\\[/tex] is power ( in Kilowatts)
[tex]t[/tex] is time ( in Hours)
We can find the total power consumption by adding all the appliances, then dividing by 1000 to convert it from Watts to Kilowatts:
[tex]\frac{(40*2)+120}{1000} =0.2kW[/tex]
And then find [tex]E[/tex] with 5 hours a day for 30 days:
[tex]E= 0.2*(5*30)=30kWh[/tex]
Thus, cost needed would be:
$0.16 × 30 = $4.80
Bill weighs 160 lb. He is standing on a scale inside an elevator. What is the reading on the scale if the elevator is accelerating downward
the scale's readout if indeed the elevator is decelerating faster than 160 lb .
The elevator speeds up or down, right?Your perceived weight is equal to the normal force.Therefore, whenever the elevator accelerates or upwards downward, you truly feel tiny bit heavier than normal and a little lighter than usual.
If an elevator malfunctions, should you lay down?Any jump you make would only slow the lift's descent to the ground by a very small amount.Even though you could jump perfectly timed and with all the force your legs could produce, it would be pointless.Your greatest option, as opposed to jumping, is to fold down.
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The amplitude of pulse A is 20 cm and that of pulse B is 10 Cm what is the minimum amplitude of the resultant pulse
The minimum amplitude of the resultant pulse is 10 cm.
What is amplitude of a pulse?The amplitude of a pulse is the maximum height of the waveform measured from the baseline, also known as the peak-to-peak amplitude. In the case of two pulses, A and B, the minimum amplitude of the resultant pulse is determined by the vector sum of the individual amplitudes of the two pulses.
When two pulses are in phase, the resultant pulse amplitude is the sum of the individual amplitudes, which in this case is 20 cm + 10 cm = 30 cm.
However, if the two pulses are out of phase, the minimum amplitude of the resultant pulse is determined by the difference between the amplitudes of the two pulses. In this case, the minimum amplitude of the resultant pulse would be |20 cm - 10 cm| = 10 cm.
So, the minimum amplitude of the resultant pulse is 10 cm.
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SOMEONE PLS HELP ME ITS DUE TOMORROW
Answer:
1) -5 N, Left
2) 14 N, Up
3) 13, Right
4) 10, Right
5) 22, Down
6) 9, Left
Explanation:
IF: Left or Down, then Negative
1) 15+15=30
Left= 30
Right= 25
30-25=5
30>25
2) 60+10=70
Down= 70
84-70= 14
70<84
3) Left= 62
75-62= 13
A car is traveling for 1638 km for a time period of 6.5 hours. What is the average speed of the car?
Answer:
252 km/hr
70 m/s
Explanation:
s = d/t
answer in km/hr:
s = 1638 km / 6.5 hr = 252 km/hr
if you need the answer in m/s:
s = ((1638 km)(1000 m/km)) / ( (6.5 hr)(60 min/hr)(60 s/min))
= 70 m/s
What is the mass of a softball if it hit the catcher's glove traveling at
48.7 m/s2 and struck with a force of 51.3-Newton?
Answer:
To solve this problem, you can use the formula F = ma, where F is the force applied to an object, m is the mass of the object, and a is the acceleration of the object. In this case, the force applied to the object is 51.3 newtons and the acceleration of the object is 48.7 m/s2. So, you can set up the equation like this:
51.3 newtons = m x 48.7 m/s2
To solve for the mass of the object, you can divide both sides of the equation by 48.7 m/s2:
51.3 newtons / 48.7 m/s2 = m x 48.7 m/s2 / 48.7 m/s2
This simplifies to:
1.05 kg = m
So, the mass of the softball is approximately 1.05 kilograms.
What cells are missing in SCID?
The term "combined immunodeficiency" refers to a genetic abnormality that affects T cells as well as at least one other kind of immune cell in SCID patients.
According to which immune cells—T, B, and/or NK cells—are damaged, different types of SCID are categorized. The deadly illness known as severe combined immunodeficiency (SCID) is caused by a variety of hereditary factors and is defined by severe impairments in T and B cell activity as well as, in some kinds, NK cell function.
X-SCID B cells typically have normal numbers, but they perform abnormally because IL-21 signaling, which is vital for the B-cell lineage's maturation, differentiation, and activation, is compromised (4, 5). Patients with SCID who receive HLA-identical transplants have a survival rate of about 90%. (3, 6).
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A 120 Kg man is diving off a 40 meter cliff. What is his kinetic energy when he is 10 meters from the water?
The required kinetic energy of man diving out at 10 m from water is calculated to be 35.3 kJ.
Given that,
Mass of the man m = 120 kg
Height of the cliff H = 40 m
Distance from the water surface h' = 10 m
The mathematical equation of velocity efflux is
v = √( 2g ( H - h') = √( 2 × 9.8(40-10) = 24.25 m/s
The expression for kinetic energy of the man = 1/2 m v²
K.E = 1/2 m v² = 1/2 × 120 × 24.25² = 35283.75 J = 35.3 kJ
Thus, we can conclude that the kinetic energy of man diving out at 10 m from water is 35.3 kJ.
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a marble launchers fires a marble into the air so that it reaches a height of 3.25 m determine the initial velocity of the marble
The velocity of the launched marble is 7.98 m/s. Using the formula by equation kinetic energy and potential energy.
What is potential energy?
Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy. It is capable of performing more work when raised.
What is velocity?The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.
Calculations:
Total kinetic energy will get converted into potential energy
[tex]\frac{1}{2} m V^{2}[/tex] = [tex]m g h[/tex]
M = mass
V = initial velocity
h = maximum height
[tex]V = 2 g h^{0.5}[/tex]
= [tex](2 * 9.8 * 3.25 )^{0.5}[/tex] = 7.98 m/s.
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The earth completes a circular orbit around the sun in one year. The orbit has a radius of 93,000,000 miles. What is the speed of the earth around the sun in m/s?
Report your result using scientific notation and the correct significant figures.
—x10–m/s
In a year, the earth revolves around the sun once in a circular motion. Therefore, the earth will orbit the sun at a 2.95 m/s speed.
Planets in our solar system did not appear out of thin air. Neither did the sun. They were all a part of a large cloud of gas and dust. Gravity accumulated a lot of material in the center to form the sun. As it spun around the forming sun, the extra matter clashed and gathered together. Some would be capable of attracting more gas and dust, eventually forming planets, because to their powerful gravitational forces.
The answer to the query is
v = 2πR / T
2R equals 6.28 * 9.3 * 107 miles.
T = 24 * 3600 * 365 = 3.15 × 10⁷ sec
v = 9.3 / 3.15 = 2.95 m/s.
Hence, the earth's speed of the earth around the sun will be 2.95 m/s.
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How are velocity and force similar?
Answer: Force
In physical science, a force is something that acts on an object by pushing or pulling it. If the force is strong enough, it changes the position or shape of the object. Forces such as friction, air resistance and simple physical contact touch the object directly, while forces like gravity, magnetism and electrostatics act on the object from a distance. Force is a vector quantity, meaning you can measure both its strength and its direction. The formula to find the measure of a force is force = mass times acceleration, written as f = ma.
Velocity
The faster something is moving, the higher its velocity.
When an object is moving, one way to measure how fast it is moving is by finding its velocity, which is the rate at which it is changing position. Like force, velocity is a vector quantity, so it includes direction. To find the average velocity of an object, divide the change in its position by the time the movement took, and state its direction. For example, if a car is driving north and in one hour's time it travels 30 miles, its velocity is 30 miles per hour, north.
\_:Peepato1234:_/
What is momentum moment Mcq?
Moment of momentum, which describes the rotating inertia of a system moving about an axis, gauges an object's propensity to keep spinning.
How do you gain traction?List the object's mass and speed in step one. Convert any values into SI units in step two (kg, m, s). Step 3: To calculate an object's momentum, multiply the object's mass and velocity.
Can there be negative momentum?Momentum can go wrong. As a vector quantity with both magnitude and direction, momentum has both. The sign, positive or negative, in physics serves as a cue as to the direction. Positive amounts normally signify a forward or upward motion, whereas negative quantities typically indicate a backward or downward motion.
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What is moment momentum?
In Newton's second law, F = ma, the mass m is a gravitational mass.
(a) True
(b) False.
True: In newton's second law, F = ma, the mass m is a gravitational mass.
What is Newton's second law?
Newton's second law of motion states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. In equation form this can be written as F = ma, where F is the net force applied,
m is the mass of the object, and a is the acceleration of the object. This law explains that the larger the force applied, the greater the acceleration of the object.
Also, the larger the mass of the object, the lower the acceleration when the same force is applied to the object.
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what is the difference between the weight of an object and the mass of an object?
The amount of matter a body's mass is the volume of matter abody's mass. Weight is the gravitational force that pulls on the body.
What sets mass and weight apart from one another?The relationship between mass and weight: Mass is a measure of inertia, whereas weight is a measure of force.
Both of these names are frequently used in the same sentence. In order to determine how much matter a body is made up of, its mass is used as mode of measurement.
The acceleration which is caused by gravity on any mass is measured in terms of weight.
Mass is a measure of the quantity of matter in a material, whereas weight measures how the force of gravity acts upon a mass.
In order to determine how much matter a body contains, its mass is used.
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calculate the kinetic energy of a 50 kg object that is moving at a speed of 12 m/s
Hello there!
Answer:
3600 J
Explanation:
[tex]E = \frac{mv^2}{2}[/tex]
So m = 50 kg and v = 12 m/s then
[tex]E = \frac{50 * 12^2}{2} J = 3600 J[/tex]
Mass = 50 kg
Velocity = 12 m/s
FindThe kinetic energy of an object.
SolutionThe formula that is used to find the kinetic energy of an object is given by :
[tex]K = \frac{1}{2}mv^{2} \\K = \frac{1}{2} X 50 X 12^{2} \\K = \frac{1}{2} X 50 X 144[/tex]
Answer= 3, 600 JHow long would it take for a falling object to reach a final velocity of 147 m/s?
Answer:
15 seconds :)
Explanation:
What happens to matter when thermal energy is added to a substance at its melting and boiling point?
Endothermic processes occur when heat is applied to a substance, as in melting, evaporation, and sublimation. Heat increases the speed of the molecules in this case, forcing them to travel quicker.
Thermal energy is the energy contained inside a system that controls its temperature. The passage of thermal energy is defined as heat. Thermodynamics is a discipline of physics that deals with how heat is transmitted between various systems and how work is done in the process (see the first law of thermodynamics).
Thermal energy transmission is classified into three types: conduction, radiation, and convection. Convection is a cyclical process that happens exclusively in liquids.
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1. When the current I is positive, the capacitor charge Q isdecreasing.
2. When the current I is positive, the measured VOLTAGE IN 2 willbe negative.
3. When the capacitor charge Q is positive, the measured VOLTAGE IN1 is positive.
4. The capacitor charge Q exponentially decays to zero when the RELAY is thrown to position N.O.
5. The transient currents that flow in this experiment decay exponentially to zero
1. The capacitor charge Q is decreasing while the current I is positive is false
2. If the measured voltage in 2 is negative when the current I is positive, it is false.
3. When the measured VOLTAGE IN1 is positive, the capacitor charge Q is positive, which is True.
4. When the RELAY is thrown to the position N.O is False, the capacitor charge Q rapidly decays to zero.
5. This experiment's transient currents flow exponentially decrease to zero, which is false
A capacitor is a type of electric device that can charge and store electrical energy when a voltage is applied to its terminals.
Formulas link the applied voltage to the capacitor's charge Q and currents I.
The final formula shows that while the current is positive, the capacitor's voltage is positive (increasing) and the
Q=CV
I=dQ/dt=C(dQ/dt)
The charge is rising.
As a result, the question's assertion is false.
As the currect is flowing from VOLTAGE IN 2 to VOLTAGE IN 1 it will be positive.
As a result, the question's assertion is false.
The measured VOLTAGE IN1 is positive when the capacitor charge Q is positive.
As a result, the question's assertion is True.
The position of the relay is the N.O. position which stands for "normally opened", i.e. no current can flow through it.
As a result, the question's assertion is false.
The following formula provides the transient current flow in this experiment:
[tex]i=i_0e^{\frac{-t}{RC}}[/tex]
As a result, the question's assertion is false.
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Note: The diagram of the question is added bellow,
The table shows the values Jane obtained when she measured the thickness of a steel pipe. The known thickness of the pipe is 1.32 centimeters. Which statement about her results is true?
As the values are closed to each other, Jane's measurements are precise.
What is precision?The precision of a substance is defined as the degree to which two or more measurements agree with one another.
It is incredibly precise but not always accurate to measure something if you measured it five times and get around 1.50 cm each time. Accuracy is not necessary for precision. There are various categories of precision:
Persistence: The variation that results when the conditions are maintained constant and repeated measurements are done over a brief period of time.Reproducibility: When employing the same measurement method with various instruments and operators over longer time periods, variation occurs.Learn more about precision here:
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Astronomers can use the brightness of two light sources, such as stars, tocompare the distances from the light sources. The intensity, or brightness, of light I is inversely proportional to the square of the distance from the lightsource d. If d is the independent variable and I is the dependent variable, graph the equation from Exercise 42 when k = 16
By looking at the brightness of two stars, astronomers can compare the relative distance of the two stars from Earth.
Who are astronomers?
Astronomers are scientists who study the universe and its phenomena. They observe, analyze, and interpret astronomical data to understand the physical and chemical properties of celestial bodies and their evolution over time. Astronomers use a variety of tools and techniques, including powerful telescopes, spectroscopy, and computer-based analysis, to explore the universe.
Step 1: Write the equation in the form of y= mx + b.
I = k/d^2
y = k/d^2
Step 2: Substitute the given values for k and m.
y = 16/d^2
Step 3: Graph the equation by plotting points for various values of d.
We can plot points for various values of d. For example:
d = 1, y = 16
d = 2, y = 4
d = 3, y = 16/9
d = 4, y = 1
d = 5, y = 16/25
We can plot these points on a graph and connect them with a smooth curve.
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How far up a wall will a 25 ft ladder reach if the base of the ladder is 7 feet from the wall?
The height formed by this 25-foot ladder that leans against a wall is 24 feet.
To find out how far up a wall a ladder will reach, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the ladder forms one side of the triangle, the wall forms another side, and the distance between the base of the ladder and the wall forms the hypotenuse.
Let's call the height of the wall h. Using the Pythagorean theorem, we can set up the following equation:
(25 ft)^2 = h^2 + (7 ft)^2
625 = h^2 + 49
576 = h^2
h = sqrt(576) = 24 ft
Therefore, a 25 ft ladder that is 7 feet from the wall will reach 24 feet up the wall.
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