Answer:
The percent uncertainty in the volume [tex]\frac{\delta V}{V} * 100 = 14.286\%[/tex]
Explanation:
From the question we are told that
The radius is [tex]r = 0.84 \pm 0.04 \ m[/tex]
From the given value
The uncertainty of radius is [tex]\delta r = 0.04[/tex]
Generally the volume of a spherical beach ball is mathematically represented as
[tex]V = \frac{4\pi }{3}* r^3[/tex]
Now taking the log of both sides
[tex]log V = log [\frac{4\pi}{3} ] * r^3[/tex]
=> [tex]log V = log [\frac{4\pi}{3} ] + log( r^3)[/tex]
=> [tex]log V = log [\frac{4\pi}{3} ] + 3log( r)[/tex]
Differentiating both sides
[tex]\frac{1}{V} \delta V = 0 + 3 [\frac{1}{r} ] \ \delta r[/tex]
Now converting them to percentage by multiplying by 100
[tex]\frac{\delta V}{V} * 100 = [\frac{ 3 \delta r }{r} ] \ * 100[/tex]
=> [tex]\frac{\delta V}{V} * 100 = [\frac{ 3 * 0.04 }{ 0.84} ] \ * 100[/tex]
=> [tex]\frac{\delta V}{V} * 100 = 14.286\%[/tex]
Activity
In this activity, you will solve the following problems using the rules for adding and subtracting and multiplying and dividing with significant
figures
Part A
28.97 + 45.876
Explanation:
We need to add 28.97 and 45.876.
Here, the first no is 28.97 and other no is 45.876
Here, 28.97 is the least precise value and 45.876 is most precise.
28.97 + 45.876 = 74.846
We need to write the final answer such that there is two digit after the decimal. So, 28.97 + 45.876 = 74.85 because 6 is more than 5 i.e. we add 1 to 4.
Answer:
28.97
+ 45.876
74.846
Explanation:
Because 28.97 has only two decimal places, round off the answer to two decimal places: 74.85.
Light of wavelength 500nm shines on a pair of slits. This produces an interference pattern on a screen 2.00m behind the slits. Measuring from the center of the pattern, we find that the fifth dark spot is 4.00cm away. What is the spacing between the slits
Answer:
The value is [tex]d = 0.000125 \ m[/tex]
Explanation:
From the question we are told that
The wavelength is [tex]\lambda = 500 \ nm = 500 *10^{-9 } \ m[/tex]
The distance is of the screen is [tex]D = 2.0 \ m[/tex]
The width of the fifth dark spot is [tex]y = 4.00 \ cm = 0.04 \ m[/tex]
Generally the width of a fringe is mathematically represented as
[tex]y = \frac{ n * \lambda * D }{d }[/tex]
=> [tex]0.04 = \frac{ 5 * 500 *10^{-9} * 2 }{d}[/tex]
=> [tex]d = \frac{ 5 * 500 *10^{-9} * 2 }{0.04}[/tex]
=> [tex]d = 0.000125 \ m[/tex]
A long, straight wire of radius R carries a steady current I that is uniformly distributed through the cross section of the wire. Calculate the magnetic field a distance r from the center of the wire in regions r ≥ R and r < R.
Answer:
a
When [tex]r \ge R[/tex]
[tex]B = \frac{ \mu_o * I}{ 2 \pi r }[/tex]
b
When [tex]r< R[/tex]
[tex]B = [\frac{\mu_o * I }{ 2 \pi R^2} ]* r[/tex]
Explanation:
From the question we are told that
The radius is R
The current is I
The distance from the center
Ampere's law is mathematically represented as
[tex]B[2 \pi r] = \mu_o * \frac{I r^2 }{R^2 }[/tex]
[tex]B = \frac{ \mu_o}{2 \pi } * \frac{r}{R^2}[/tex]
When [tex]r \ge R[/tex]
=> [tex]B = \frac{ \mu_o * I}{ 2 \pi r }[/tex]
But when [tex]r< R[/tex]
[tex]B = [\frac{\mu_o * I }{ 2 \pi R^2} ]* r[/tex]
Which of the following best describes the position of the Sun in the geocentric model? A. It is at the center of the Universe. B. It orbits Earth. C. It is at the center of the Milky Way Galaxy. D. It orbits another star.
Answer:
option B is correct
Explanation:
in geocentric model earth is at the center of the universe and sun,moon star etc orbited the earth thats why option B is correct
Which step of the scientific method do you perform after you state the
problem?
O A. Collect data and observations.
B. Conduct an experiment.
C. Form a hypothesis.
D. Draw conclusions.
Answer:
form a hypothosis
Explanation:
A person travels 1.5 km in 6 minutes, how fast were they traveling in meters per second?
Answer:
4.167m/sec
Explanation:
1km=1000m
1.5km=1500m
1min=60sec
6min=360sec
In 360sec they travel 1500m
In 1 sec they travel=1500m/360
1sec=4.167m
What is the magnitude of the total acceleration of point A after 2 seconds? The bar starts from rest and has a constant angular acceleration of 1.0 rad/s2 clockwise.
Answer:
a_total = 2 √ (α² + w⁴) , a_total = 2,236 m
Explanation:
The total acceleration of a body, if we use the Pythagorean theorem is
a_total² = a_T²2 + [tex]a_{c}[/tex]²
where
the centripetal acceleration is
a_{c} = v² / r = w r²
tangential acceleration
a_T = dv / dt
angular and linear acceleration are related
a_T = α r
we substitute in the first equation
a_total = √ [(α r)² + (w r² )²]
a_total = 2 √ (α² + w⁴)
Let's find the angular velocity for t = 2 s if we start from rest wo = 0
w = w₀ + α t
w = 0 + 1.0 2
w = 2.0rad / s
we substitute
a_total = r √(1² + 2²) = r √5
a_total = r 2,236
In order to finish the calculation we need the radius to point A, suppose that this point is at a distance of r = 1 m
a_total = 2,236 m
Imagine that you are seeking treatment from a provider who offers complementary, alternative, or integrative treatment. Write at least one (1) question you would want to ask the provider about their education or credentials.
Explanation:
It is important to reach a decision only after noting the quality of responses received about the following pertinent questions;
1. What training program(s) have they gone through?
2. Do they have any licences?
3. Have they received any certifications from a recognized body?
4. Do they have any ongoing or past scientific research work?
5. Awards they've received, if any?
As this is a key decision of someone's life, making the decision on the basis of the provider's experience with similar cases and quality of service is the most important.
We should ask the following questions to the provider,
1. Does the practitioner have licenses for such practice?
2. Where did the practitioner receive their educational qualifications from and do they still learn to be up to date with the advanced treatments available in the market?
3. Was the practitioner awarded for any similar cases or handled similar cases?
4. For how long they have been practicing?
5. Does the practitioner have a membership of any organizations or professional societies?
6. Can the treatment be covered by the insurance?
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Suppose that the clay balls model the growth of a planetesimal at various stages during its accretion. Choose the planetesimal that is most likely
to pull in debris particle A.
Answer:2
Explanation:
Suppose that the clay balls model the growth of a planetesimal at various stages during its accretion, the planetesimal that is most likely to pull in debris particle A would be option B.
What is science?Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.
Science is a way of learning about the world.
People may contribute to the development of new knowledge through science and utilize it to promote their objectives.
It is a method, a thing, and an organization all at once.
If the clay balls represent the formation of a planetesimal at different phases of its accretion, then option B represents the planetesimal that is most likely to draw in debris particle A.
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Suppose you attempt to pour out 100 g of salt, using a pan balance for measurements, while an elevator that is accelerating upward. Will the quantity (weight) of salt be too much, too little, or the correct amount? Explain
Answer:
the correct amount
Explanation:
The pan balance has two pans . When the elevator is accelerating upward , the apparent weight of both objects placed on either pan increase . The net effect is that they cancel out the effect of accelerating elevator . Hence the apparent weight of salt remains same as and equal to its real weight.
In case of spring balance, its apparent weight would have increased . Its apparent weight would have measured more than its true weight.
By calculating its wavelength (in nm), show that the second line in the Lyman series is UV radiation.
Answer:
λ = 102.78 nm
This radiation is in the UV range,
Explanation:
Bohr's atomic model for the hydrogen atom states that the energy is
E = - 13.606 / n²
where 13.606 eV is the ground state energy and n is an integer
an atom transition is the jump of an electron from an initial state to a final state of lesser emergy
ΔE = 13.606 (1 / [tex]n_{f}^{2}[/tex] - 1 / n_{i}^{2})
the so-called Lyman series occurs when the final state nf = 1, so the second line occurs when ni = 3, let's calculate the energy of the emitted photon
DE = 13.606 (1/1 - 1/3²)
DE = 12.094 eV
let's reduce the energy to the SI system
DE = 12.094 eV (1.6 10⁻¹⁹ J / 1 ev) = 10.35 10⁻¹⁹ J
let's find the wavelength is this energy, let's use Planck's equation to find the frequency
E = h f
f = E / h
f = 19.35 10⁻¹⁹ / 6.63 10⁻³⁴
f = 2.9186 10¹⁵ Hz
now we can look up the wavelength
c = λ f
λ = c / f
λ = 3 10⁸ / 2.9186 10¹⁵
λ = 1.0278 10⁻⁷ m
let's reduce to nm
λ = 102.78 nm
This radiation is in the UV range, which occurs for wavelengths less than 400 nm.
Which of these changes will decrease the acceleration of an object? Select the two correct answers
increasing the applied net force
decreasing its mass
increasing its mass
decreasing the applied net force
Answer:
✔️From Newton's second law of motion we know that
✔️acceleration is inversely proportional to the mass of the body
✔️Here in this question increasing the mass of body will decrease its acceleration.
Explanation:
Hope it will help you :)
A cylindrical can of radius R is rolling across a horizontal surface without slipping.
A. After one complete revolution of the can, what is the distance that its center of mass has moved.
B. Would this distance be greater or smaller if slipping occurred?
Answer:
a) 2πR
b) greater
Explanation:
Radius of the cylinder = R
a) after one complete revolution, the center of mass would have moved a distance equal to the circumference of the radius formed by the cylinder.
distance moved = 2πR
b) If slipping occurred, there will be some distance lost during rotation, which will increase the distance that the center of mass will have to move.
LED light bulbs are more energy efficient, last longer, cost more, and have a smaller environmental impact from manufacture to recycling or disposal. The question is which costs less: incandescent, compact fluorescent (CFL), or LED lights?
(a) Ignore the time value of money. What is the average cost per hour for 25,000 hours of light-mg in a community with exist0.15/kWh electricity: for each choice?
(b) If the light is on 5%, 30%, or 60% of the time, how long until does it take for the 25,000 hours?
(c) Which type of light should a homeowner buy?
Answer:
a) Cost_incandescent = $ 375 , Cost _CFL = $ 75 , Cost_LED = $ 45
b) total = 20833 days , total_day = 3472 days , Total_days = 1736 d
c) LED
Explanation:
This problem is interesting to solve it, we must have a very important factor, such as the equivalence of the light emitted by the three systems, let's perform the calculation for a light intensity of 1000 lumen in the three bulbs.
consumed potence
incandescent 100W = fluorescent (CFL) 20W = Led 12 W
Now if we can solve your exercise
a) Let's find the power consumed by each type of bulb in the 25000 h
E = P t
incandescent
E_incandescent = 100 25000
E_incandescent = 2.5 105 Wh
E_incandescent = 2.5 103 kWh
Fluorescent (Low Power) CFL
E_CFL = 20 25000
E _DFL = 5 102 kWh
LED
E_LED = 12 25000
E_LED = 3 102 kwh
Let's use a direct rule of proportions (rule of three) for the cost of energy, if 1 kWh costs $ 0.15, the energy calculates how much it costs
incandescent
Cost_Incandescent = 2.5 103 kW / h ($ 0.15 / 1kWh)
Cost_incandescent = $ 3.75 102 = $ 375
CFL
Cost_CFL = 5 102 0.15
Cost _CFL = $ 75
LED
Cost_LED = 3 102 0.15
Cost_LED = $ 45
Here we do not take into account the possibility of burning incandescent bulbs and there is an extra replacement cost
b) for this part we use direct proportion rules
If the day has 24 hours and the light is on for 5%, how many days are 25000 hours?
for 5% = 0.05
hours on in a day
#_hoursdays = 24 hrs 0.05 = 1.2 hrs
total days
total = 25000 / 1.2
total = 20833 days
for 30% = 0.30
# _hoursday = 24 0.30 = 7.2 h
Total_days = 25000 h (1 day / 7.2 h)
total_day = 3472 days
for 60% = 0.602
#_hours = 24 0.60 = 14.4 h
Total _days = 25000h (1day / 14.4 h)
Total_days = 1736 d
c) you should decide between the CFL and the Led are much lower.
Between these two should take into account the cost of the bulbs, if we only take into account the cost of the energy consumed, the selection should be LED
From what height must an oxygen molecule fall in a vacuum so that its kinetic energy at the bottom equals the average energy of an oxygen molecule at 300 K ?
Answer:
The value is [tex]h = 11930 \ m[/tex]
Explanation:
From the question we are told that
The temperature is [tex]T = 300 \ K[/tex]
Generally the root mean square speed of the oxygen molecules is mathematically represented as
[tex]v = \sqrt{\frac{3 * R * T }{M} } = \sqrt{ 2 * g * h }[/tex]
Here R is the gas constant with a value [tex]R = 8.314 \ J\cdot K^{-1} \cdot \ mol^{-1}[/tex]
M is the molar mass of oxygen molecule with value [tex]M = 0.032 \ kg /mol[/tex]
So
[tex]\frac{3 * 8.314 * 300 }{0.032} = 2 * 9.8 * h[/tex]
=> [tex]h = 11930 \ m[/tex]
If i push a ball along the floor, which forces are acting upon the ball? Name atleast two forces and explain them !
Answer:
Hey there!
You are applying a force, pushing the ball, which makes the ball move forwards.
Friction is working in the opposite direction, slowing the ball down as it rolls on the floor.
Let me know if this helps :)
If you cook a marshmallow a few feet above a camp fire, it will cook mostly
by
A) radiation
OB) conduction
C) convection
Answer:
A) radiation.
Explanation:
Hello,
In this case, heat transfer from a body with a high temperature to a body with a lower temperature may occur when the bodies are not in direct physical contact with each other or when they are separated in space and it is is called heat radiation. Solids, liquids, or gaseous substances are able to emit energy via a process of electromagnetic radiation because of vibrational and rotational movement of their molecules and atoms.
Hence, since the camp fire is not in contact with the marshmallow and it still cooks it, we can infer that the mechanism of heat transfer is A) radiation. Moreover, both conduction and convection occur when the bodies are in contact.
Regards.
Complete the following statement: (In Boyle's law), the volume of a gas ________ when the ________ decreases.
Answer:
In Boyle's law the volume of a gas increases when the pressure decreases.
Explanation:
Boyle's law states that at fixed mass of gas, the volume of a gas is inversely proportional to the gas pressure, provided temperature remain constant.
Mathematically it be expressed as;
P₁V₁ = P₂V₂
As the volume of a gas increases, the pressure decreases, or as the volume of the gas decreases, the pressure of the gas increases.
Therefore, in Boyle's law the volume of a gas increases when the pressure decreases.
What is the gauge pressure in Pascals inside a honey droplet of a 0.1 cm diameter? Assume that air is surrounding this droplet and the surface tension of honey is 0.052 N/m.
Give your answer to the nearest integer (do NOT use scientific notation).
Answer:
The gauge pressure in Pascals inside a honey droplet is 416 Pa
Explanation:
Given;
diameter of the honey droplet, D = 0.1 cm
radius of the honey droplet, R = 0.05 cm = 0.0005 m
surface tension of honey, γ = 0.052 N/m
Apply Laplace's law for a spherical membrane with two surfaces
Gauge pressure = P₁ - P₀ = 2 (2γ / r)
Where;
P₀ is the atmospheric pressure
Gauge pressure = 4γ / r
Gauge pressure = 4 (0.052) / (0.0005)
Gauge pressure = 416 Pa
Therefore, the gauge pressure in Pascals inside a honey droplet is 416 Pa
A cubic container holds 2,350 g of fresh water. Use density and the volume formula below to
compute the dimensions of the tank.
V = 93
Density of Water: 1.00 g/cm3
O 13 cm^3
13.20 cm
O 13.3 cm^3
13.3 cm
O 13 cm
Answer:
Each side is 13.3 cm long
Explanation:
Use the formula for density as the mass per unit of volume, to find the volume of the tank:
[tex]density=\frac{mass}{Vol} \\Vol=\frac{2350}{1} \,\,cm^3\\Vol=2350\,\,cm^3[/tex]
Now we can find the dimensions of the tank knowing that it is cubic, and therefore its volume is [tex]side^3[/tex]:
[tex]side^3=2350\,\,cm^3\\side=\sqrt[3]{2350} \,\,cm\\side\aprox13.3\,\,cm[/tex]
Which of the following is not a way that astronomers can find how much dark matter there is in cluster of galaxies?
a. Using gravitational lensing effects to make a map of how much mass a cluster of galaxies contains.
b. Observe the radio waves coming from all dark matter; from the strength of the radio waves from each cluster, estimate the amount of dark matter needed to produce them.
c. Observing X-rays from the hot gas in the cluster, and using the amount of x-ray radiation to estimate the mass of the cluster.
d. Measuring how much slower galaxies in a rich cluster or supercluster are moving than the Hubble Law would predict.
e. Measuring the speeds with which the galaxies are moving around, to estimate the mass of the cluster needed to keep them from moving away.
Answer:
b. Observe the radio waves coming from all dark matter; from the strength of the radio waves from each cluster, estimate the amount of dark matter needed to produce them.
Explanation:
The universe is thought to be made up of 85% dark matters. Dark matter is called dark because it does not appear to interact with the electromagnetic field, which means it doesn't absorb, reflect or emit electromagnetic radiation, and is therefore difficult to detect. This means that option b is wrong since radio wave is an electromagnetic wave. Dark matter is a form of matter that makes up about a quarter of the total mass–energy density of the universe. Dark matter was theorized due a variety of astrophysical observations and gravitational effects that cannot be explained by accepted theories of gravity unless there were more matter in the universe than can be seen.
What factors affect the strength of forces
Speed, weight, and time between impact and stopping all are the factors that affect force.
What is force?A force is an influence in physics that can change the motion of an object. A force can cause a mass object to change its velocity, or accelerate.
Intuitively, force can be described as a push or a pull. A force is a vector quantity because it has both magnitude and direction.
The magnitude of a force expresses its strength. The magnitude of a force is expressed in Newtons, the SI unit of force.
One Newton is the force that can cause an object weighing one kilogram to move one meter per second.
The mass of the objects and the coefficient of friction between them are the two factors. The angle between them is also important.
Thus, these are some factors affecting strength of force.
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Find the lowest two frequencies that produce a maximum sound intensity at the positions of Moe and Curly.
Answer:
hello your question has some missing parts below is the complete question
and the missing diagram
The two speakers emit sound that is 180° out of phase and of a single frequency,ƒ, Find the lowest two frequencies that produce a maximum sound intensity at the positions of Moe and Curly.
answer : 1316.2 hertz
Explanation:
The frequency that produce the maximum sound intensity can be calculated using the relation below
dsin ∅ = n A
where A = dsin ∅ / n when n = 1 . d = 0.800
A = 0.800 * ( 1 / 3.162 )
A = 0.253 m
speed of sound = 333 m/s
frequency = speed / A
= 333 / 0.253 = 1316.2 hertz
A scientist is observing a figure under the microscope that appears to be alive, however she is not sure. The scientist observes a membrane, but after closer observation notices that the image is not clear. What additional observation could she make to support that the object that she is observing under the microscope is alive? A. Bright, vibrant colors. B. Hair that surrounds the object. C. Communicating with another organism. D. The object splitting into two parts to form two organisms. BTW it is either C or D just couldn't figure it out.
Answer:
D. The object splitting into two parts to form two organisms.
Explanation:
The splitting of cell of an organism actually shoes if it's Alive or not .
The splitting can be either mitosis or meosis for either plant or animal.
But for the fact that it's has cell membrane shoes it's either a plant or an animal.
So the splitting will confirm it's alive.
Answer:
D the correct answer is D
Explanation:
I took the test and was going to pick c but changed my mind
Which of the following correctly describes the relative air pressure at the center of a hurricane, with respect to the horizontal direction? Group of answer choices low at the surface, high aloft low at the surface and aloft high at the surface and aloft high at the surface, low aloft
Explanation:
The pressure of hurricane which is high decreases gradually as we move higher . The pressure is maximum at the surface . Hence the relative air pressure is higher at the surface and low at the top . Like wise the pressure is low at the center and keeps on increasing when we move outside . Hence the answer is pressure is high at surface and low aloft.
a box with a weight of 555 N is sitting on the ground and the bottom of the box measures 0.55 m by 0.45. What is the pressure exerted by the box on the ground?
Explanation:
Pressure = force / area
P = 55 N / (0.55 m × 0.45 m)
P = 220 Pa
The average speed of a snail is 0.020 miles/hour and that of a Leopard is 70 miles/hour. Convert these speeds in SI units.
In empty space, which quantity is always larger for X-ray radiation than for a radio wave?
a) amplitude
b) wavelength
c) frequency
d) speed.
Answer:
C
Explanation:
Firecracker A is 300 m from you. Firecracker B is 600 m from you in the same direction. You see both explode at the same time. Define event 1 to be "firecracker A explodes" and event 2 to be "firecracker B explodes." Does.event 1 occur before, after, or at the same time as event 2? Explain.
Answer:
e see that the distances are different, the only way that the two beams of light approach simultaneously is that event 2 (farthest) occurs first than event 1
Explanation:
This is an ejercise in special relativity, where the speed of light is constant.
Let's carefully analyze the approach, we see the two events at the same time.
The closest event time is
c = (x₁-300) / t
t = (x₁-300) / c
The time for the other event is
t = (x₂- 600) / c
since they tell us that we see the events simultaneously, we can equalize
(x₁ -300) / c = (x₂ -600) / c
x₁ = x₂ - 300
We see that the distances are different, the only way that the two beams of light approach simultaneously is that event 2 (farthest) occurs first than event 1
i have been wondering this for a long time, does higher density mean higher solidity?
Explanation:
Solidity means the quality or state of being firm or strong in structure. Density means the degree of compactness in a structure.