Answer:
Evidence for the Asteroid Impact Hypothesis
Impact Crater
This 150-kilometer-wide crater lies just off the Yucatan peninsula. Scientists calculate that it was blasted into Earth by a 10-kilometer-wide asteroid or comet traveling 30 kilometers per second -- 150 times faster than a jet airliner.
Scientists have concluded that the impact that created this crater occurred 65 million years ago. The date corresponds perfectly to the date of the dinosaur extinction.
Rare Metal
The metal iridium, which is similar to platinum, is very rare on Earth's surface but is more common in asteroids and in molten rock deep within the planet.
Scientists have discovered levels of iridium 30 times greater than average in the Cretaceous/Tertiary (KT) boundary, the layer of sedimentary rock laid down at the time of the dinosaur extinction.
Melted Rock
These pieces of once-molten rock, called impact ejecta, are evidence of an explosion powerful enough to instantly melt bedrock and propel it more than a hundred miles from its origin.
Ranging in size from large chunks to tiny beads, impact ejecta are common at or near the Cretaceous/Tertiary (KT) boundary, the geological layer that defines the dinosaur extinction.
Fractured Crystals
These crystals, often called "shocked quartz," show a distinctive pattern of fracturing caused by high-energy impacts or explosions.
Some scientists maintain that the fracture pattern in these quartz crystals could only have been caused by a massive asteroid or comet impact. The pattern is prevalent in quartz found at or near the Cretaceous/Tertiary (KT) boundary, the geological layer deposited at the time of the extinction.
Fossil Record
A gradual decline in the number of dinosaur species would likely mirror an equally gradual cause of their ultimate extinction. Conversely, a sudden "now you see them, now you don't" end to the dinosaurs implies a catastrophic cause. Depending on location and interpretation, the fossil record seems to say different things.
Some paleontologists see evidence in the fossil record that dinosaurs were doing quite well prior to the end of the Cretaceous -- that they were in no way declining in abundance when the impact occurred.
The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?
Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.
Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!
The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.
The p-waves travel with a constant velocity of 7 km/s
The time can be calculated by using the formula
t = d / v
where
T1 = 10:05 a.m
d is the distance they take to travel from the epicenter
v is the speed of the p-waves
On average, the speed of p-waves is
v = 7 km/s
d = 5600 km (given)
Substituting the values in the formula;
t = d / v
t = 5600 ÷ 7
t = 800 seconds
Converting into minutes,
t = 800 ÷ 60
t = 13.3
≈ 13 mins
T1 - 13 mins = T2
10:05 - 13 mins = 9.52 am
It means the earthquake occurred prior 13 minutes, that is at 9.52 am.
Therefore, the earthquake occurred at 9.52 am.
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statics and strength of materials
The magnitude of the force P provided that the stress in the part AB is two times that of BC part is 0.8 kN.
What is the force P?The magnitude of the force P provided that the stress in the part AB is two times that of BC part is calculated as follows;
Take moment about the joint to determine the magnitude of the force along part BC.
120 kN x 750 mm = F x 1000 mm
F = ( 120 kN x 750 mm ) / ( 1000 mm )
F = 90 kN
Stress is given as force divided by area. The following equation can be used to determine the magnitude of force P.
Stress in AB = 2 times stress in BC
P/A₁ = 2F/A₂
where;
A₁ is the area of segment ABA₂ is the area of segment BCA₁ = πd²/4 = π(50 x 10⁻³)²/4
A₁ = 1.96 x 10⁻⁵ m²
A₂ = πd²/4 = π(75 x 10⁻³)²/4
A₂ = 4.42 x 10⁻³ m²
P/A₁ = 2F/A₂
P = (2F x A₁) / (A₂)
P = (2 x 90 kN x 1.96 x 10⁻⁵ m² ) / ( 4.42 x 10⁻³ m² )
P = (2 x 90,000 N x 1.96 x 10⁻⁵ m² ) / ( 4.42 x 10⁻³ m² )
P = 798.2 N
P = 0.798 kN
P ≈ 0.8 kN
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Which of the following is a vector quantity
weight
temperature
acceleration
distance
Answer:
weight, acceleration
Explanation:
weight = mass x gravity(meaning the direction of the mass)
acceleration = v-u/t
v-u is the change in velocity
8. A 12kg bowling ball has a velocity of 8 m/s, and is brought to
a stop gradually over 10s. How much change in momentum
does the bowling ball experience?
Answer:
The change in momentum experienced by the bowling ball is 96 kgm/s.
Explanation:
Given;
mass of the bowling ball, m = 12 kg
velocity of the bowling ball, v = 8 m/s
time of motion, t = 10 s
The change in momentum experienced by the bowling ball is equal to the impulse experienced by the bowling ball.
ΔP = J = F x t
\(J = ft =\frac{mv}{t} \times t = mv\\\\J = 12 \times 8\\\\J = 96 \ kg.m/s\)
Therefore, the change in momentum experienced by the bowling ball is 96 kgm/s.
Which of the following X-Y tables agrees with
the information in this problem?
A)
Vi
Vf
a
ΔΧ
t
A plane is flying east at 115 m/s. The wind
accelerates it at 2.88 m/s² directly northwest.
After 25.0 s, what is the velocity of the plane?
X
115
?
Y
115
?
88 2.88
2.88
25
25
B) X
V₁
Vf
a 2.04 2.04
ΔΧ
t
Y C) X
V₁ 115
V₁
?
0115
25
25
a -2.04
ΔΧ
t
25
Y
0
?
2.04
25
Table A agrees with the information in the problem. After 25.0 seconds, the velocity of the plane is 187 m/s.
Based on the given problem, we need to determine the velocity of a plane after 25.0 seconds. The plane is initially flying east at a velocity of 115 m/s, and it experiences an acceleration of 2.88 m/s² in the northwest direction.
Let's analyze each option and calculate the final velocity (Vf) of the plane after 25.0 seconds:
Option A:
Vi = 115 m/s
a = 2.88 m/s²
t = 25.0 s
Using the equation Vf = Vi + at, we can calculate:
Vf = 115 m/s + (2.88 m/s²)(25.0 s) = 115 m/s + 72 m/s = 187 m/s
Option B:
V₁ = 2.04 m/s
a = 2.04 m/s²
t = 25.0 s
Using the equation Vf = V₁ + at, we can calculate:
Vf = 2.04 m/s + (2.04 m/s²)(25.0 s) = 2.04 m/s + 51 m/s = 53.04 m/s
Option C:
V₁ = 115 m/s
a = -2.04 m/s²
t = 25.0 s
Using the equation Vf = V₁ + at, we can calculate:
Vf = 115 m/s + (-2.04 m/s²)(25.0 s) = 115 m/s - 51 m/s = 64 m/s
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PLEASE HELP !!!!!! As seen in the lesson video, solar photovoltaic technologies help provide clean electrical energy. Using the video animation as a guide, diagram and label the absorption of photons and production of electrons (photoelectric effect) used in solar PV systems. Include a screenshot or picture of your diagram below.
We can see here that the diagram that reveals the absorption of photons and production of electrons (photoelectric effect) used in solar PV systems is seen below.
What is photon?A photon is a fundamental particle or quantum of light.
It is the smallest indivisible unit of electromagnetic radiation, which also includes radio waves, microwaves, X-rays, visible light, ultraviolet light, and infrared radiation. In scientific calculations, photons are represented by the symbol "c" and move at the speed of light in a vacuum while carrying energy.
Wave-particle duality is the idea that photons are both particles and have wave-like characteristics. This means that they can exhibit wave-like properties like interference and diffraction as well as discrete particle behavior, each with a distinct energy and momentum.
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vertical columns in the periodic table represent a group or family of elements that have the same number of valence electrons by having similar electron configurations elements in the same group have similar properties list elements that have similar properties
The examples of elements with similar properties in the same group are fluorine, chlorine, bromine and iodine.
What is group of elements in a periodic table?
The groups in periodic table is the same as vertical columns in the periodic table
These groups represent a group or family of elements that have the same number of valence electrons by having similar electron configurations elements in the same group have similar properties.
Examples of elements found in the same group with similar chemical properties include;
group 7 elements.
FluorineChlorineBromineIodineThe valence electron of elements found in the group 7 of periodic table is negative 1 (-1).
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The wailing change of the pitch that you hear as a locomotive approaches and then recedes from you is called ___?___
The Phase shift is a shift in sound wave frequency that happens when the originator of the acoustic pressure is moving in relation to a listener who is stationary.
What it will cause a sound to shift in pitch as it gets closer or farther away?As an observer and a mobile source of waves come closer together, there appears to be an upward shift in frequency, and when they move apart, there appears to be a downward movement in frequency. This phenomenon is known as the Doppler effect.
What accounts for the increased pitch of approaching objects' sounds compared to receding ones?Doppler shift is frequently demonstrated by the change in pitch that occurs as a car approaches and moves away from a viewer while sounding its horn. The received frequency increases during proximity, identical at the time of passing by, and lower when matched to the emitted frequency.
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I need help with the answer
Answer:
Yes, of course
Explanation:
Ask the questionI'll answer itAn atom contains 18 neutrons and a mass number of 35. Find the atomic number of the atom
Answer: 17
Explanation: Atomic number = mass number - number of neutrons
In this case, the mass number is given as 35 and the number of neutrons is given as 18. So, we can plug these values into the equation and solve for the atomic number:
atomic number = 35 - 18
atomic number = 17
Therefore, the atomic number of the atom is 17.
A scale measures the weight of a light object to be 11.000 lbs ± 0.034 lbs. what is the uncertainty if this same scale is use to measure an object that weights 78.000 lbs? Assume that the percent uncertainty of the scale remains constant
1)0.034lbs
2)0.044lbs
3)0.310lbs
4)0.240Ibls
The uncertainty of the heavy object if the scale remains constant is 0.24 lbs.
What is uncertainty in measurement?This is the error associated in an attempt measure the object accurately.The percent uncertainty in measuring the light weight object is calculated as follows;
\(= \frac{0.034}{11} \times 100\%\\\\= 0.309\%\)
The uncertainty of the heavy object if the scale remains constant is calculated as follows;
\(= \frac{0.309}{100} \times 78.0 \ lbs\\\\= 0.24 \ lbs\)
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This question is about organisation in living organisms
Write the biological structures from the box in the correct size order
cell,nucleus,organ,tissue
Smallest
Largest
Answer:
the universe is everything
and it is getting bigger and bigger
galaxies are small parts of universe
Explanation:
Thats all i know
The correct order of the organization levels from smallest to largest is nucleus, cell, tissue and organ.
Living organisms have different forms of classification, one of them is from the levels of organization. This classification refers to complexity and size. The levels from least to greatest complexity are:
Nucleus: The nucleus is the hard center mass, present in an atom, it is even the smallest entity which cannot be detected but can be analyzed. Cell: Basic unit of structure and function of all living things. Tissue: Group of cells of the same type. Organs: Structure composed of one or more types of tissue. The tissues of an organ work together to fulfill a specific function.Thus, we can conclude that the correct order of the organization levels from smallest to largest is nucleus, cell, tissue and organ.
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The lift does work on the passengers.
A family and the lift have a total mass of 1050 kg.
The gravitational field strength is 10 N/kg.
The lift carries them up a distance of 15 m.
Calculate the work done by the lift.
Write down an assumption that you have made in doing this calculation
The work done by the lift with a mass of 1050 kg and a gravitational field strength is 10 N/kg and a height of 15m is 157.5kJ
The work done is the amount of work done in lifting the object to a certain distance. The work done is the product of mass, gravitational field, and height.
Work done = m×g×h
mass (m) = 1050 kg
g = 10 N/kg
height (h) = 15m
W = m×g×h
= 1050×10×15
= 157.5 kJ
Thus, the work done(W) = 157.5 kJ.
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When temperature increases, the _______________ of particles _______________________.
Answer:
Diffusion
Increase
I hope that helped
List two types of current
Answer:
static and current electricity
since Ethanol has a heat capacity of 0.614 cal/g °C. If 50 g of ethanol has a temperature of 30ºC and a piece of hot Copper is added to the ethanol causing the temperature to increase to 70ºC. What is the amount of heat absorbed by the ethanol?
This question involves the concepts of heat capacity, temperature, and heat.
The heat absorbed by ethanol is "1228 cal".
HEAT CAPACITYThe heat capacity of a substance is defined as the amount of heat absorbed by a unit amount of that substance for a degree rise in temperature. Mathematically,
\(Q = mc\Delta T\)
where,
c = heat capacity = 0.614 cal/g.°Cm = mass of ethanol = 50 gΔT = change in temperature = 70°C - 30°C = 40°CQ = amount of heat absorbed = ?Therefore,
Q = (50 g)(0.614 cal/g°C)(40° C)
Q = 1228 cal
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A steel column is 3 m long and 0.4 m diameter. It carries a load of 50 MN. Given that the
modulus of elasticity is 200 GPa. Calculate the compressive stress.
The compressive stress in the steel column is found to be approximately 397.6 MPa.
The formula for calculating the area of a circle can be used to determine the steel column's cross-sectional area (A),
A = π*(d/2)², diameter of the column is d,
A = π*(0.4/2)²
A = 0.1257m²
The compressive stress (σ) in the column can be calculated using the formula, σ = F/A, F is the load carried by the column is F.
σ = 50 MN/0.1257m²
σ = 397.6 MPa
Therefore, the compressive stress in the steel column is approximately 397.6 MPa.
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A rocket is launched straight up with constant acceleration. Five seconds after liftoff, a bolt falls off the side of the rocket. The bolt hits the ground 10.0 s later. What was the rocket's acceleration?
Explanation:
To find the acceleration of the rocket, we need to use the equations of motion for constant acceleration.
We know that the bolt was dropped 5 seconds after the rocket was launched, and that it took 10 seconds for the bolt to hit the ground. This means that the bolt was in free fall for 10 - 5 = <<10-5=5>>5 seconds.
We can use the equation d = 1/2 * a * t^2 to find the acceleration of the bolt. We know that the bolt fell a distance of 10 meters in 5 seconds, so we can plug those values into the equation to get: 10 = 1/2 * a * 5^2. Solving for a gives us a = 2 * 10 / 5^2 = 2 * 10 / 25 = 0.8.
Since the bolt was in free fall, its acceleration was due to gravity, which is about 9.8 meters per second squared. This means that the rocket must have had an acceleration greater than 9.8 meters per second squared in order to cause the bolt to fall off of it.
Therefore, the rocket's acceleration must have been greater than 0.8 meters per second squared. However, we cannot say exactly what the acceleration was without knowing more information about the rocket and its launch conditions.
The acceleration of the rocket is 197.5 m/s² if the bolt hits the ground 10.0 s later.
What is Kinematics ?A branch of physics called kinematics, which was evolved from classical mechanics, defines how points, bodies, and systems of bodies (groups of objects) move without taking into account the forces that propel them. The discipline of kinematics is sometimes thought of as a subfield of mathematics and is sometimes referred to as the "geometry of motion." Any known values of the location, velocity, and/or acceleration of points inside the system are declared as initial conditions for a kinematics issue, together with the geometry of the system. The location, velocity, and acceleration of any unidentified system components can then be calculated using geometrical considerations. Kinematics, not kinematics, is the study of forces and their effects on physical objects. For further information, visit.
Given,
time of the bolt = 10-5 =5s
acceleration due to gravity =9.8m/s²
The height of the bolt s = ut+1/2at²
s = 0+ 1/2 ×9.8×5²
s = 122.5m
We cannot find the acceleration of the rocket without its final velocity (velocity of the rocket at the time of fall of bolt). Therefore Consider the final velocity of the Rocket is 220m/s
Then,
v² = u² + 2as
220² = 0 +2×a×122.5
48400 = 245 a
a = 197.5 m/s²
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WHAT IS THE MASS OF A PURE PLATINUM DISK
The mass of a pure platinum disc can be gotten by multiplying the density with the volume.
Therefore the mass is 2418.2 grams or 2.4182 kilograms.
What is mass?A body's mass is an inherent quality. Prior to the discovery of the atom and particle physics, it was widely considered to be tied to the amount of matter in a physical body.
The kilogram is the primary mass unit in the SI.
The resistance of the body to acceleration in the presence of a net force can be measured as mass.
Due to the lower gravity on the Moon, an object would weigh less than it does on Earth while maintaining the same mass. This is due to the fact that mass, coupled with gravity, determines the strength of weight, which is a force.
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What is the mass of a pure platinum disk with a volume of 113 cm3? The density of platinum is 21.4 g/cm3.
Give your answer in grams and kilograms.
The three small spheres shown in the figure (Figure 1)carry charges q1= 4.45 nC , q2=-7.50 nC , and q3= 2.15 nC
A)Find the net electric flux through the closed surface S1
shown in cross section in the figure.
B)Find the net electric flux through the closed surface S2
shown in cross section in the figure.
C)Find the net electric flux through the closed surface S3
shown in cross section in the figure.
D)Find the net electric flux through the closed surface S4
shown in cross section in the figure.
E)Find the net electric flux through the closed surface S5
shown in cross section in the figure.
A) The net electric flux through the closed surface S₁ is given by the equation: Net electric flux = q1/4πε0
= 4.45 nC / (4π x 8.85 x 10-12 C2/Nm2)
= 0.541 x 10-3 Nm2/C .
Electricity is a form of energy that exists in nature and is created through the movement of electrons between atoms. It is the force that powers all of the electrical appliances and devices in our homes and offices.
B) The net electric flux through the closed surface S₂ is given by the equation:
Net electric flux = q1/4πε0 + q2/4πε0
= (4.45 nC + (-7.50 nC)) / (4π x 8.85 x 10-12 C2/Nm2)
= -2.05 x 10-3 Nm2/C
C) The net electric flux through the closed surface S₃ is given by the equation:
Net electric flux = q1/4πε0 + q2/4πε0 + q3/4πε0
= (4.45 nC + (-7.50 nC) + 2.15 nC) / (4π x 8.85 x 10-12 C2/Nm2)
= -0.239 x 10-3 Nm2/C
D) The net electric flux through the closed surface S₄ is given by the equation:
Net electric flux = q1/4πε0 + q2/4πε0 + q3/4πε0 + q1/4πε0
= (4.45 nC + (-7.50 nC) + 2.15 nC + 4.45 nC) / (4π x 8.85 x 10-12 C2/Nm2)
= 0.302 x 10-3 Nm2/C
E) The net electric flux through the closed surface S₅ is given by the equation:
Net electric flux = q1/4πε0 + q2/4πε0 + q3/4πε0 + q1/4πε0 + q2/4πε0
= (4.45 nC + (-7.50 nC) + 2.15 nC + 4.45 nC + (-7.50 nC)) / (4π x 8.85 x 10-12 C2/Nm2)
= -1.75 x 10-3 Nm2/C.
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A) The net electric flux through the closed surface S₁ is given by the equation: Net electric flux = q1/4πε0
= 4.45 nC / (4π x 8.85 x 10⁻¹² C²/Nm²)
= 0.541 x 10⁻³ Nm²/C .
What is electricity?Electricity is a form of energy that exists in nature and is created through the movement of electrons between atoms. It is the force that powers all of the electrical appliances and devices in our homes and offices.
B) The net electric flux through the closed surface S₂ is given by the equation:
Net electric flux = q1/4πε0 + q2/4πε0
= (4.45 nC + (-7.50 nC)) / (4π x 8.85 x 10⁻¹² C²/Nm²)
= -2.05 x 10⁻³ Nm²/C
C) The net electric flux through the closed surface S₃ is given by the equation:
Net electric flux = q1/4πε0 + q2/4πε0 + q3/4πε0
= (4.45 nC + (-7.50 nC) + 2.15 nC) / (4π x 8.85 x 10⁻¹² C²/Nm²)
= -0.239 x 10⁻³ Nm2/C
D) The net electric flux through the closed surface S₄ is given by the equation:
Net electric flux = q1/4πε0 + q2/4πε0 + q3/4πε0 + q1/4πε0
= (4.45 nC + (-7.50 nC) + 2.15 nC + 4.45 nC) / (4π x 8.85 x 10-12 C²/Nm²)
= 0.302 x 10⁻³ Nm²/C
E) The net electric flux through the closed surface S₅ is given by the equation:
Net electric flux = q1/4πε0 + q2/4πε0 + q3/4πε0 + q1/4πε0 + q2/4πε0
= (4.45 nC + (-7.50 nC) + 2.15 nC + 4.45 nC + (-7.50 nC)) / (4π x 8.85 x 10⁻¹² C²/Nm²)
= -1.75 x 10⁻³ Nm²/C.
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2) A motorcycle is moving at a constant speed of 40 km/h. How long does it take the motorcycle to
travel a distance of 80 km?
Answer:
2 hours
Explanation:
The motorcycle travels 40 km per hour.
80km / 40km/h = 2 hours.
Answer
2 hours
Explanation:
i took it
How many days are required for a radioactive sample, with a half-life of 5.7 days and an initial activity
of 1.07 × 105 Bq, to decay to an activity of 100 Bq?
It takes approximately 28.3 days for the radioactive sample to decay from an initial activity of 1.07 x 105 Bq to an activity of 100 Bq.
The formula for radioactive decay is \(A = A0 * (1/2)^{(t/t1/2)}\) where: A is the final activity A0 is the initial activity is the time elapsed t1/2 is the half-life of the sample
In this problem, the initial activity A0 is given as 1.07 x 105 Bq and the final activity A is given as 100 Bq.
The half-life of the sample is given as 5.7 days.
Substituting these values into the formula, we get: \(100 = 1.07 \times 105 * (1/2)^{(t/5.7)}\)
Dividing both sides by 1.07 x 105, we get:
\(0.000934579 = (1/2)^{(t/5.7)}\)
Taking the natural logarithm of both sides, we get:\(-7.072737 = (t/5.7) * ln(1/2)\)
Dividing both sides by ln(1/2), we get:
\(t = -7.072737 \div ln(1/2) * 5.7t \approx 28.3\) days
Therefore, it takes approximately 28.3 days for the radioactive sample to decay from an initial activity of 1.07 x 105 Bq to an activity of 100 Bq.
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a lens with f = 50.0 cm is held 55.0 cm from an object. what is the image distance? (unit = cm)
Answer: 550 cm
Explanation:
Original equation: 1/f= 1/do + 1/di.
F=50.0 cm, and do=55.0.
Since we don't have di, we'll have to subtract do to the other side, making the equation: 1/f - 1/do= 1/di.
Doing the math, 1/f - 1/do is 0.0018181818
Then to get di by itself, you multiply both sides by di. Then you divide by 0.0018181818 to get di by itself. You then get: di= 1/0.0018181818
At that point, you just divide 1 by 0.0018181818, which will give you 550 cm
There could be simpler way, but that is just what I did to get the answer. Answer was right on Acellus
battery acid has specific gravity equal to 1.285 and is 38.0% sulphuric acid by weight. what mass of sulphuric acid contained
The weight of sulphuric acid in the acid is 488.3 grams.
Specific gravity is a comparing tool used to compare weight of a specific liquid when compared to same unit of water as standard substance.
Specific gravity can be defined as the ratio of the density of a substance to that of a standard substance. Water being the standard substance here.
Let us consider the weights for 1 Liter of acid
Weight of 1 liter of water is 1000gram
Therefore weight of 1 liter of acid=1.285 x 1000 =1285 gram
It is given that the acid is 38 percent by weight of sulphuric acid
Therefore, weight of sulphuric acid= 38% of 1285 gram
weight of sulphuric acid = 38/100 x 1285
=488.3 gram
Therefore, weight of sulphuric acid in the acid is 488.3 gram
Hence, the weight of sulphuric acid in the acid is 488.3 grams
Disclaimer:
Quantity of acid has not been mentioned and hence 1 liter has been taken as the quantity.
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Choose the correct definition of angular momentum.
the product of the object’s moment of inertia and the object’s angular velocity
the product of the object’s momentum and the object’s angular velocity
the product of the object’s momentum and the object’s moment of inertia
the product of the object’s momentum and the object’s angle through space
The answer is "the product of the object's moment of inertia and the object's angular velocity.
The correct definition of angular momentum would be that it is the product of the object’s moment of inertia and the object’s angular velocity, therefore the correct answer is option A.
What is momentum?It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle, and the momentum of any particle is expressed in Kg m/s unit.
As given in the problem we have to find the correct definition of angular momentum,
The angular momentum of the object = the moment of the inertia of the object × the angular velocity of the particle
The right response is option A since the definition of angular momentum is that it is the product of an object's moment of inertia and its angular velocity.
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Please don't round any possible answers
Note the rate at which oil is flowing is: 7.19 m³/s . See the computation below.
What is the rationale for the above response?We can use the principle of continuity of flow to solve this problem. According to this principle, the mass flow rate of the oil is:
m_dot = rho * A * v: where:
rho is the density of the oil,
A is the cross-sectional area of the pipe, and
v is the velocity of the oil.
The cross-sectional area of the pipe before the constriction is:
A1 = (pi/4) * d1² = (pi/4) * (0.978 m)² = 0.7526 m²
The cross-sectional area of the pipe after the constriction is:
A2 = (pi/4) * d2² = (pi/4) * (0.5868 m)² = 0.2701 m²
The velocity of the oil can be calculated using the principle of continuity of flow:
A1 * v1 = A2 * v2
where v1 is the velocity before the constriction and v2 is the velocity after the constriction.
Solving for v1, we get:
v1 = (A2/A1) * v2 = (0.2701 m^2 / 0.7526 m^2) * v2 = 0.3590 * v2
The pressure difference across the constriction is:
deltaP = P1 - P2 = 7600 N/m² - 5700 N/m² = 1900 N/m²
Using Bernoulli's equation, we can relate the pressure difference to the velocity difference:
deltaP = (1/2) * rho * (v2² - v1²)
Substituting the expression for v1, we get:
deltaP = (1/2) * rho * (v2² - 0.1290 * v2²)
Solving for v2, we get:
v2 = sqrt(2 * deltaP / rho * (1 - 0.1290)) = 20.16 m/s
Finally, the mass flow rate of the oil is:
m_dot = rho * A1 * v1 = 821 kg/m³ * 0.7526 m² * 0.3590 * 20.16 m/s
= 5904.4 kg/s
Converting to cubic meters per second, we get:
Q = m_dot / rho = 5904.4 kg/s / 821 kg/m³ = 7.19 m³/s
Therefore, the rate at which oil is flowing is 7.19 m³/s
Learn more about Flow Rate:
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Suppose that a public address system emits sound uniformly in all directions and that there are no reflections . The intensity at a location 22 m away from the sound source is 3.0×10−4W/m23.0×10 −4 W/m 2 . What is the intensity at a spot that is 78 m away?
Answer:
\(I_{2}=2.39*10^{-5} W/m^{2}\)
Explanation:
The definition of the intensity in terms of power is given by:
\(I=\frac{P}{A}\)
Where:
P is the powerA is the areaIf the sound emits uniformly in all directions and that there are no reflections, we can assume the geometry of the wave sound is spherical.
Let's recall the area of a sphere is \(A = 4\pi R^{2}\)
To the first location we have:
\(I_{1}=3*10^{-4} W/m^{2}=\frac{P}{4\pi 22^{2}}\)
and to the second location we have:
\(I_{2}=\frac{P}{4\pi 78^{2}}\)
Now, we can divide each intensity to find the second intensity.
\(\frac{I_{2}}{I_{1}}=\frac{\frac{P}{4\pi 78^{2}}}{\frac{P}{4\pi 22^{2}}}\)
\(I_{2}=I_{1}* \frac{22^{2}}{78^{2}}\)
\(I_{2}=3*10^{-4}\frac{22^{2}}{78^{2}}\)
\(I_{2}=2.39*10^{-5} W/m^{2}\)
I hope it helps you!
Answer:
I = 2.4*10⁻⁵ W
Explanation:
By definition the intensity of a sound source, is the power emitted from the source divided by the area of the surface covered by the sound waves.Assuming that the source is a point source, so it emits sound uniformly in all directions, and there are no reflections, this area is just the area of a sphere centered in the point source and with radius equal to the distance between the source and the point where the intensity is measured, as follows:\(I = \frac{P}{4*\pi *r^{2}} (1)\)
If I and r are givens of the problem, we can solve (1) for P, as follows:\(P = I*4*\pi *r^{2} = 3.0e-4*4*\pi * (22m)^{2} = 1.83 W (2)\)
Since the power is the same at any distance from the source, we can obtain the new value of I, replacing in (1) the value of P and the new value of r, as follows:\(I = \frac{P}{4*\pi *r^{2}} = \frac{1.83W}{4*\pi *(78m)^{2}} =2.4e-5 W/m2 (3)\)
Select ALL the
correct answers.
Which two examples describe ways that corporations can give large donations to presidential candidates?
A corporation leader makes
direct payment to the candidate.
A corporation creates another company to accept candidate contributions
A corporation collects moneys from its employees to contribute to
A corporation contributes to a Super PAC that
a PAC
accepts contributions
for a candidate,
Reset
Next
Answer: Hope this helps ;) don't forget to rate this answer !
Explanation:
There are two correct answers:
A) A corporation leader makes direct payment to the candidate.
D) A corporation contributes to a Super PAC that a PAC accepts contributions for a candidate.
Option A describes a scenario where a corporation directly donates money to a presidential candidate, which is allowed as long as it is done within the limits set by campaign finance laws.
Option D describes a scenario where a corporation donates money to a Super PAC, which is a type of political action committee that can accept unlimited donations from individuals, corporations, and other organizations. The Super PAC can then use the money to support or oppose a particular candidate, but it is not allowed to coordinate directly with the candidate or the candidate's campaign.
I hope this helps! Let me know if you have any other questions.
Question 7(Multiple Choice Worth 2 points)
(07.02 MC)
With the help of a trusted adult, Karissa is connecting objects that conduct electricity with wires. So far she has a battery, a light bulb, and three other objects. Which of the following
objects will conduct electricity well?
2
1. Gold ring
II. Steel paper clip
III. Plastic pipe
Ol only
Oill only
O I and II
70
O II and III
Answer:
I and II
Explanation:
They are made of metal so they are great conductors
Answer:
l and ll
Explanation:
Why did Izzy fall when playing tug of war? Responses he tripped he tripped balanced forces balanced forces he was pushed he was pushed unbalanced forces
Answer:
he tripped ballanced forces ballanced forces