The concept of weight allows us to find the mass of each body, finding that the answer for the body with the greatest mass is:
material Z with m = 0.125 slug
Density is a connection used in many expressions of physics, it is defined by the relationship between the mass and the volume of the body.
ρ = [tex]\frac{m}{V}[/tex]
Where ρ is the density, m the plus and V the volume of the body
The specific weight is defined by the relationship between the weight of the body and its volume, it is a quantity that depends on the value of the acceleration due to the gravity of the place. Expression used in the English system of measurements
γ = [tex]\frac{W}{V}[/tex]
From the previous expressions it is observed that the density and the specific weight are related
γ = ρ g
The weight of the product of the mass of the body that is invariant by the value of the acceleration of gravity, whose value depends on the place of measurement.
W = m g
m = W / g
Where W is the weight, m the mass and g the acceleration due to gravity
This exercise describes the values in the following table
material volume (cm³) weight (lb)
W 10 2
X 122 3
Y 56 1
Z 18 7
They ask to find which body has the greatest mass.
In the English system, the measurement is the weight of the body, which is expressed in pounds, the mass measurement is not so common and its unit is the slug.
let's calculate
Material W
m = 2/32
m = 0.0625 slug
Material X
m = 3/32
m = 0.09375 slug
Material Y
m = 1/32
m = 0.0312 slug
Material Z
m = 7/32
m = 0.125 slug
In conclusion, using the concept of weight, we can find the mass of each body, finding that the answer for the body with the greatest mass is:
material Z with m = 0.125 slugLearn more about weight here:
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Answer:
D
Explanation:
Edge
Question 4 of 10
2 Points
What is the internal energy of 7.00 mol of N2 gas at 40°C? To solve this
problem, use the equation: Udiatomie Gas =
Remember that R=8.31 J/(mol-K) and K = °C + 273.
O A 45.500
O B. 5820
O C. 11,600
O D. 18.2003
Answer:
A. 45500 J
Explanation:
Internal energy of diatomic gas is:
U = 5/2 nRT
where n is the number of moles,
R is the universal gas constant,
and T is the absolute temperature.
Given n = 7.00 mol, R = 8.31 J/mol/K, and T = 40+273 = 313 K:
U = 5/2 (7.00 mol) (8.31 J/mol/K) (313 K)
U = 45500 J
Final answer:
Option C) The internal energy of 7.00 mol of N2 gas at 40°C is 8.62 × 10⁴ J, which is best approximated by option C (11,600 J) when considering significant figures.
Explanation:
The question is asking for the internal energy of a diatomic gas, specifically nitrogen gas (N2), at a certain temperature. The internal energy (U) of an ideal diatomic gas can be calculated using the formula [tex]U = (\frac{5}{2}) nRT[/tex], where 'n' is the number of moles, 'R' is the ideal gas constant, and 'T' is the temperature in Kelvin.
Firstly, convert the temperature from Celsius to Kelvin by adding 273 to the given temperature (40°C), resulting in T = 313 K. Now, use [tex]U = (\frac{5}{2}) nRT[/tex] with n = 7.00 mol, R = 8.31 J/(mol·K), and T = 313 K.
[tex]U = (\frac{5}{2}) \times 7.00 mol \times 8.31 J/(mol.K) \times 313 K = 86212.15 J[/tex]
When this value is rounded to the correct number of significant figures and expressed in scientific notation, it becomes 8.62 × 10⁴ J, which matches option C when written as 86200 J or 86.2 kJ.
For our statistical definition of entropy, we use the equation S = klnW. In this equation, what does k represent? A. kelvin B. Fludd's constant: 6.02 × 1023 C. Carnot's constant: 9.8 × 10–8 D. Boltzmann's constant: 1.38 × 10–23
In the equation [tex]S=klnW k[/tex] represents Boltzmann constant
Answer: Option D
Explanation:
Entropy is defined as the degree of randomness of a system. In the given equation S represents entropy of the gas, k represent Boltzmann constant and W represents number of micro states possible.
W or number of micro states means the number of ways atoms and molecules ca be arranged in a thermodynamic system. When number of micro states is more the degree of randomness namely the entropy is more.
In solid to liquid transformation the entropy increases. Similarly liquid to gas transformation also increases the entropy of the system increases.
Answer: D.
Boltzmann's constant: 1.38 × 10⁻²³
Explanation: edmentum
How does a molecule form?
Answer:
Molecules are made up of atoms that are held together by chemical bonds. These bonds form as a result of the sharing or exchange of electrons among atoms. The atoms of certain elements readily bond with other atoms to form molecules. Examples of such elements are oxygen and chlorine.
Explanation:
A molecule forms from electrons shared between two atoms. The correct option is B.
Atoms join forces and engage in interaction to create molecules. To achieve a stable electron configuration, this frequently entails sharing electrons between atoms.
Covalent bonds, a sort of chemical bond, are made possible by this sharing of electrons.
The exchange of electrons between two atoms at their outermost energy levels, or valence shells, results in covalent bonds.
Atoms can acquire a more stable structure and fill their outermost energy levels by sharing electrons, just like the noble gases do.
The atoms can achieve a lower overall energy state thanks to this electron sharing, which makes the molecule more stable than the sum of its parts.
Thus, the correct option is B.
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A cube made Of an unknown material has a height of 9 symeters the mass of this cube is 3645 g. calculate the density of this cube given this information
Answer: [tex]5 \frac{g}{cm^{3}}[/tex]
Explanation:
The density [tex]\rho[/tex] of a material is given by:
[tex]\rho=\frac{m}{V}[/tex] (1)
Where:
[tex]m=3645 g[/tex] is the mass of the cube
[tex]V[/tex] is the volume of the cube
Now, the volume of a cube is equal to the length [tex]L[/tex] of its edge to the power of 3:
[tex]V=L^{3}[/tex] (2)
If we know [tex]L=9 cm[/tex], the volume of this cube is:
[tex]V=(9 cm)^{3}=729 cm^{3}[/tex] (3)
Substituting (3) in (1):
[tex]\rho=\frac{3645 g}{729 cm^{3}}[/tex] (4)
[tex]\rho=5 \frac{g}{cm^{3}}[/tex] This is the density of the cube
20. In a parallel RL circuit, 10 mA flows through the resistor and 4 mA flows through the inductor. What phase angle separates voltage and current in this circuit?
A. 18.6°
B. 28.6°
C. 24.6°
D. 21.8°
Answer:
Option D: 21.8 degrees
Explanation:
In a parallel RL circuit, the current in the resistor R and that in the inductor L are separated among themselves 90 degrees as illustrated in the attached image. In the image the current in the resistor is represented in orange, that of the inductor in blue, and the total current (vector addition of the previous two) is represented in red, forming a certain angle (theta) with respect to the current in the resistor. The output voltage is the same as the input voltage as measured over the resistor R.
Therefore, the phase angle that separated output voltage and total current can be obtained using the fact that tan(phase angle) = [tex]\frac{I_l}{I_R} = \frac{x}{y} \frac{4}{10}[/tex], therefore the angle is the arctangent of 4/10:
[tex]arctang(\frac{4}{10} )= 21.801[/tex] degrees.
Answer:
The phase angle between voltage and current in a parallel [tex]RL[/tex] circuit is 21.8°
Explanation:
In this question input voltage [tex]V_i_n[/tex] across both the components, the resistor and inductor is same since it is a parallel [tex]RL[/tex] circuit.
Current cross resistor [tex]I_R=10 mA[/tex]
Current across inductor [tex]I_L=2 mA[/tex]
Inductive reactance [tex]X_L= \frac{ V_i_n}{I_L} = \frac{V_i_n}{(2 mA)}[/tex]
Resistance of the resistor [tex]R= \frac{V_i_n}{I_R} = \frac {V_i_n}{(10 mA)}[/tex][tex][/tex]
Phase angle between voltage and current ∅ [tex] =tan^-^1 R/X_L[/tex]
[tex]=tan^-^1 \frac{(V_i_n /10)}{(V_i_n /2)}= tan^-^1 \ \frac{2}{10}=tan^-^1\ 0.4[/tex]
=21.8°
A model rocket climbs 200 m in 4 seconds. If was moving 10 m/s to begin with what is its final velocity
Answer: 90 m/s
Explanation:
For this situation we will use the following equations:
[tex]y=V_{o}t+\frac{1}{2}at^{2}[/tex] (1)
[tex]V=V_{o} + at[/tex] (2)
Where:
[tex]y=200 m[/tex] is the height of the model rocket at 4 s
[tex]V_{o}=10 m/s[/tex] is the initial velocity of the model rocket
[tex]V[/tex] is the velocity of the rocket at 4 s
[tex]t=4 s[/tex] is the time it takes to the model rocket to reach 200 m
[tex]a[/tex] is the constant acceleration due gravity and the rocket's thrust
Firstly, from equation (1) we have to find [tex]a[/tex]:
[tex]200 m=(10 m/s)(4 s)+\frac{1}{2}a(4 s)^{2}[/tex] (3)
[tex]a=20 m/s^{2}[/tex] (4)
Now we have to substitute this value of [tex]a[/tex] in (2):
[tex]V=10 m/s + (20 m/s^{2})(4 s)[/tex] (5)
Finally:
[tex]V=90 m/s[/tex] This is the rocket's final velocity
a ball is rolled down hill with an initial velocity of 4.2 m/s. how far will it roll in 11.6s if it accelerates at 2.3m/s2
Explanation:
Given:
x₀ = 0 m
v₀ = 4.2 m/s
t = 11.6 s
a = 2.3 m/s²
Find: x
x = x₀ + v₀ t + ½ at²
x = 0 m + (4.2 m/s) (11.6 s) + ½ (2.3 m/s²) (11.6 s)²
x ≈ 203 m
Round as needed.
A car goes from 90.0m/s to a stop in 3.00s. What is the acceleration
Answer:
[tex]-30m/s^{2}[/tex]
Explanation:
The first equation of motion given as,
v = u +at
Here, u is initial and v is final velocity and a is acceleration and t is time taken.
As per question car initial velocity, u = 90 m/s, final velocity, v =0 and time taken, t = 3.00 s.
Substituting these values in first equation of motion, we get
0 = 90 m/s + a×3.00 s
or, [tex]a = \frac{-90m/s}{3.00s}[/tex]
[tex]a=-30m/s^{2}[/tex]
Thus, the deacceleration of the car is [tex]-30m/s^{2}[/tex]
The acceleration of the car that goes from 90.0 m/s to a stop in 3.00s is -30.0 m/s².
The acceleration of the car can be calculated by using the equation:
Acceleratin = (final velocity - initial velocity) / time
= (0-90)/3
= -30.0 m/s².
if an object that stands 3 cm high is placed 12 CM in front of a plane mirror how far from the mirror is the image located explain your reasoning
Answer:
the mirror is 12 cm away from the image
Explanation:
Answer:
distance of image = 12 cm
Explanation:
For plane mirror the perpendicular distance of object from the mirror must be same as that of perpendicular distance of image from the mirror
As we know here that object is 3 cm high
But the distance of object from mirror is 12 cm
So here the image will be virtual and it will form at 12 cm distance behind the mirror.
So here image will form behind the mirror at same distance that is the distance of object from the mirror.
- When a person does work on an object, the object gains energy. As a bicycle rider rides from the bottom to the top of a hill, the
energy from the work can become which combination of types of energy.
The riders work becomes kinetic energy only
The riders work becomes a combination of kinetic energy and heat
The riders work becomes a combination of gravitational potential and heat
The riders work becomes a combination of gravitational potential,
energy and heat
Answer:
The riders work becomes a combination of gravitational potential,
kinetic energy and heat.
Explanation:
His work becomes gravitational potential as the raider gains height. This can be seen from the equation of gravitational potential:
[tex]U = m*g*h[/tex],
where m is the mass, g is the gravity and h is the height. Since the rider's final position is higher than his starting position the change of gravitational position is greater than 0.
His work becomes kinetic energy as he gains speed: assuming he was at rest at starting position he must increase his speed to move to the top of the hill, and because kinetic energy depends on speed, part of his work becomes kinetic energy.
Finally, part of his work turns into heat due to all the losses because of the friction in the bicycle gears.
Answer:
4
Explanation:
why does the bottom of a swimming pool always appear shallower than it actually is
Answer:
The refraction of light at the surface of water makes ponds and swimming pools appear shallower than they really are.
Explanation:
so its just the refraction of light at the surface
Answer:
The refraction of light at the surface of water makes ponds and swimming pools appear shallower than they really are. If you look at a stick that is poking into some water at an angle the stick looks bent because of refraction. The bottom of the stick seems to be nearer the surface of the water than it really is.
Explanation:
The acceleration of segment D is m/s2. Rank segments A, B , C from least accelerations to greatest acceleration. Least
Greatest
Segment D is -20 m/s squared
C
B
A
I know because I just did this
Segments A, B, and C can be ranked from least to greatest acceleration based on the given information.
Explanation:The segments A, B, and C can be ranked from least to greatest acceleration as follows:
Segment C: The acceleration is zero, indicating that there is no change in velocity.Segment A: The acceleration is constant and positive, meaning there is a gradual increase in velocity.Segment B: The acceleration is constant and larger in magnitude than segment A, indicating a faster increase in velocity.Learn more about Ranking accelerations here:https://brainly.com/question/20389053
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Which is an example of something heated by conduction?
food heated in a microwave oven
a waffle iron heated by coils
pavement heated by the sun
a room heated by moving air
Answer:
A waffle iron heated by coils
Explanation:
A waffle iron heated by coils - conduction
Food heated in a microwave oven - radiation
Pavement heated by the sun - radiation
A room heated by moving air - convection
what does a equal? 3/2 a -13=5
Answer:
a=12
Explanation:
- add 13 to both sides
3/2a = 5+13
- multiply by 2/3
2/3 * 3/2 * a = 2/3 * 18
a = 12
What are four examples of properties?
Explanation:
physical and chemical properties. Examples of physical properties are: color, smell, freezing point, boiling point, melting point, infra-red spectrum, attraction (paramagnetic) or repulsion (diamagnetic) to magnets, opacity, viscosity and density. There are many more examples.
In the graph, which region shows nonuniform positive acceleration?
A.AB
B.BC
C.CD
D.OA
Answer: A.AB
Explanation:
This Velocity vs Time graph shows the acceleration of a body or object, since acceleration is the variation of velocity in time.
As we can see in the attached image, the graph can be divided in four segments:
OA: In this segment the acceleration is changing at a uniform rate. In addition we can see it has a positive slope, hence we are dealing with a positive uniform acceleration.
AB: In this segment the acceleration is changing at a nonuniform rate, since in this part it is not possible to calculate the slope. However if this were uniform, the slope woul be positive. This means the acceleration is nonuniform and positive.
BC: In this segment the acceleration is changing at a nonuniform rate, since in this part it is not possible to calculate the slope. However if this were uniform, the slope woul be negative. This means the acceleration is nonuniform and negative.
CD: In this segment the acceleration is changing at a uniform rate. In addition we can see it has a negative slope, hence we are dealing with a negative uniform acceleration.
From all these segments, the only one that fulfils the nonuniform positive acceleration condition is option A:
Segment AB
Answer:
AB plato users ;)
Explanation:
The main goal of science is to
1)Collect facts and learn “the truth”
2)Understand nature
3)Do wild and crazy experiments
4)Is to produce facts
Answer:
2. Understand nature
Explanation:
The main goal of science is to understand nature, because you need to find the best explanations for how nature works.
A soccer ball is kicked straight upwards with an initial vertical speed of 8.0 m/s. We can ignore air resistance. How long does it take the ball to have a downwards speed of 4.0 m/s?
Answer:
The time the ball it takes to have the downward speed 4 m/s is 1.22 sec.
Explanation:
Lets explain the motion of the ball
The ball is kicked straight upwards with an initial vertical speed of 8.0 m/s
Its velocity decreases util it reaches the maximum height
At the maximum height its velocity is equal to zero
Then it fall down to the ground
We can ignore air resistance
Lets find the time it takes the ball to reach the maximum height
The acceleration of gravity is -9.8 m/s²
The initial velocity is 8 m/s upward
The final velocity is zero
So lets use the rule v = u + gt, where v is the final velocity, u is the initial
velocity, g is the acceleration of gravity and t is the time
u = 8 , v = 0 , g = -9.8
Substitute these value in the equation above
0 = 8 - 9.8 t
Add 9.8 t for both sides
9.8 t = 8
Divide both sides by 9.8
t = 40/49 seconds
The ball falls withe initial velocity zero and increases to reach 4 m/s
The velocity 4 m/s is downward
The acceleration of gravity is 9.8 m/s²
By using the same rule
u = 0 , v = 4 , g = 9.8
4 = 0 + 9.8 t
4 = 9.8 t
Divide both sides by 9.8
t = 20/49
The time the ball it takes to have the downward speed 4 m/s is the sum
of the two times above
The time the ball it takes = [tex]\frac{40}{49}+\frac{20}{49}=\frac{60}{49}=1.22[/tex] seconds
The time the ball it takes to have the downward speed 4 m/s is 1.22 sec.
PLEASE HELP!!
The centers of two 15.0-kilogram spheres are separated by 3.00 meters. What is the magnitude of the gravitational force that one sphere exerts on the other?
A
1.11 × 10-10 N
B
3.34 × 10-10 N
C
1.67 × 10-9 N
D
5.00 × 10-9 N
Answer:
C 1.67 × 10-9 N
Explanation:
The magnitude of the gravitational force between two objects is given by:
[tex]F=G\frac{m_1 m_2}{r^2}[/tex]
where
G is the gravitational constant
m1 ,m2 are the masses of the two objects
r is their separation
In this problem, we have:
[tex]m_1 = m_2 = 15.0 kg[/tex]
r = 3.00 m
Substituting into the equation, we find
[tex]F=(6.67\cdot 10^{-11}) \frac{(15)(15)}{3.00^2}=1.67\cdot 10^{-9} N[/tex]
The gravitational force between two 15.0 kg spheres separated by 3.00 meters is calculated to be approximately 1.67 × 10⁻⁹ N. Therefore, the correct answer is option C.
Newton's Law of Universal Gravitation:
F = G * (m₁ * m₂) / d²where,
F is the gravitational forceG is the gravitational constant (6.674 × 10⁻¹¹ N·m²/kg²) m₁ and m₂ are the masses of the spheresd is the distance between their centers.Plugging in the given values:
F = 6.674 × 10⁻¹¹ N·m²/kg² * (15.0 kg * 15.0 kg) / (3.00 m)²F = 6.674 × 10⁻¹¹ N·m²/kg² * 225 kg² / 9.00 m²After simplifying:
F ≈ 1.67 × 10⁻⁹ NThus, the correct answer is C (1.67 × 10⁻⁹ N).
A ball rolled 10 meters in 2 seconds. Its velocity is m/s
Answer:
velocity is 5m/s
Explanation:
data
d=10m
t=2sec
v=?
from
v=d/t
v=10m/2s
v=5m/s
Its SPEED is (10m/2s) = 5 m/s .
It's not possible to determine its velocity from the given information, because we don't know the direction in which it rolled.
If the distance between two charge particles is increased by four, the force will decrease by a factor of
Answer:
16
Explanation:
the force is inverse squred proportaional to the distance
Answer:
16
Explanation:
just did it on edg
You are measuring the mass of different chemicals to get ready to conduct an experiment.
Which one would be a example of the correct International System of Measurement units to use for measuring mass?
A) ounces
B) grams
C) pounds
D) tablespoo
Answer:
B) grams
The SI unit for mass is grams.
Answer:
The answer is grams
Explanation:
5. How much does a suitcase weigh if it has a mass of 22.5 kg?
Answer:
Weight of the suitcase, W = 220.5 N
Explanation:
It is given that,
Mass of the suitcase, m = 22.5 kg
Let W is the weight of the suitcase. The weight of an object is equal to the force acting on it due to the gravity. It is given by the product of mass and acceleration due to gravity.Mathematically, it is given by :
W = mg
[tex]W=22.5\times 9.8[/tex]
W = 220.5 N
So, the weight of the suitcase is 220.5 N. Hence, this is the required solution.
The weight of the suitcase is 220.5 Newton.
Given the following data:
Mass of suitcase = 22.5 kilograms.We know that acceleration due to gravity (a) for an object is equal to 9.8 meter per seconds square.
To find how much this suitcase weigh, we would determine the weight of the suitcase by using the value of its mass.
Mathematically, the weight of an object is calculated by using the formula;
[tex]Weight = mg[/tex]
Where:
m is the mass of an object. g is the acceleration due to gravity.Substituting the values into the formula, we have;
[tex]Weight = 22.5[/tex] × [tex]9.8[/tex]
Weight = 220.5 Newton.
Therefore, the weight of the suitcase is 220.5 Newton.
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Pauline is going on a picnic and bringing some sandwiches. She wants to keep the sandwiches cold for as long as possible by putting them in a cooler.
Which of these would be the best material for Pauline's cooler to be made of?
A.
aluminum
B.
glass
C.
iron
D.
plastic
Answer:
The correct answer is plastic.
Explanation:
To keep sandwiches cold as long as possible by putting them in a cooler the best material is plastic. The plastic is a thermal insulator used for different uses. One of them is to maintain the temperature in closed containers. Metal and aluminum allow the temperature to flow more easily and glass is not a suitable material for building the cooler.
Have a nice day!
9. A wave on Beaver Dam Lake passes by two docks that are 40.0 m apart.
a. If there is a crest at each dock and another three crests between the two docks, determine the
wavelength.
b. If 10 waves pass one dock every 16.0 seconds, determine the period and frequency of the wave.
.
c. What is the speed of the wave?
Answers:
a) 10 m
b) time=1.6 s, frquency=0.625 Hz
c) 6.25 m/s
Explanation:
a) If there is a crest at each dock and another three crests between the two docks, and the wavelength [tex]\lambda[/tex] is the distance between to crests; this means we have [tex]4\lambda[/tex] in [tex]40 m[/tex]:
[tex]40 m=4\lambda[/tex]
Clearing [tex]\lambda[/tex]:
[tex]\lambda=\frac{40 m}{4}[/tex]
[tex]\lambda=10 m[/tex]
b) This part can be solved by a Rule of Three:
If 10 waves ---- 16 s
1 wave ----- [tex]T[/tex]
Then:
[tex]T=\frac{(1 wave)(16 s)}{10 waves}[/tex]
[tex]T=1.6 s[/tex] This is the period of the wave
On the other hand, the frequency [tex]f[/tex] of the wave has an inverse relation with its period [tex]T[/tex]:
[tex]f=\frac{1}{T}[/tex]
[tex]f=\frac{1}{1.6 s}[/tex]
[tex]f=0.625 Hz[/tex] This is the frequency of the wave
c) The speed [tex]v[/tex] of a wave is given by the following equation:
[tex]v=\frac{\lambda}{T}[/tex]
[tex]v=\frac{10 m}{1.6 s}[/tex]
Finally:
[tex]v=6.25 m/s[/tex]
The biggest piece of fudge ever created weighed 3010 lbs. The recommended serving of fudge is 28g. How many servings did this piece of fudge have?
For this case we must do a conversion from pounds to grams. By definition we have to:
1 pound equals 453,592 grams.
So:
[tex]3010 lb * \frac {453.592} {1} \frac {g} {lb} = 1,365,311.92\ grams[/tex]
If we divide we get the number of portions:
[tex]\frac {1,365,311.92} {28} = 48,761.14[/tex]
Thus, we have approximately 48,761 servings of sugar candy.
ANswer:
48,761 servings of sugar candy.
Final answer:
To find the number of servings, the weight of the biggest piece of fudge created (3010 lbs) was converted to grams, yielding 1,365,312.92 grams. Dividing this by the recommended serving size of 28 grams gives a total of 48,761.89 servings.
Explanation:
To calculate the number of servings in the biggest piece of fudge ever created that weighed 3010 lbs, we first need to convert the weight from pounds to grams, because the recommended serving size of fudge is given in grams (28g).
1 pound is equivalent to 453.592 grams. Therefore, we need to multiply the total weight in pounds by this conversion factor:
3010 lbs × 453.592g/lbs = 1,365,312.92 grams
Now that we have the weight of the fudge in grams, we can divide it by the recommended serving size:
1,365,312.92 grams ÷ 28 grams/serving = 48,761.89 servings
Therefore, the biggest piece of fudge ever created had 48,761.89 servings.
Rachel and her family live in a region where Cacti, shirt grasses, and small bushes flourish. In which Boone do they live?
Answer:
Most likely the Savanna or Desert.
Explanation:
Answer:
Explanation:
Rachel and her family is most suppose to be living in a desert area.
The forest and vegetation of a desert is similar to what described location of Rachel family. The region has Cacti, short grasses and small bushes flourish.
These natural vegetation is grown in desert as they do not need much water for there growth.
determine the average acceleration for x(t)=19t^2+7t^3 for a time interval between 3 and 9 seconds
Answer:
290
Explanation:
Average acceleration is the change in velocity over change in time.
First, find the velocity by taking the derivative of position.
v(t) = dx/dt
v(t) = 38t + 21t²
At t = 3 and t = 9:
v(3) = 303
v(9) = 2043
So the average acceleration is:
a = Δv / Δt
a = (2043 − 303) / (9 − 3)
a = 290
Use appropriate units.
Many theories about atomic structure have molded the current view of the
atom. The quantum model suggests that electrons
Answer:
Orbit around the nucleus at specific energy levels
Explanation:
In the quantum model of the atom (Bohr's model), electrons orbit the nucleus at specific orbits corresponding to specific energy level - this means that an electron cannot be found in the space between two orbits.
Since each orbit correspond to a a precise energy level, this means that the spectrum of emission and absorption of an atom is discrete. In fact:
- When an electron jumps from a lower energy level to a higher energy level, it absorbs a photon whose energy is equal to the difference in energy between the two levels - so photons of only specific frequencies are absorbed
- When an electron jumps from a higher energy level to a lower energy level, it emits a photon whose energy is equal to the difference in energy between the two levels - so photons of only specific frequencies are emitted
1. The bottom of an elevated water tank has an
area of 135 m². If the pressure on the bottom is
1.52 x 104 Pa, what is the total force the bottom
must support?
Answer:
2.05×10⁶ N
Explanation:
Force = pressure × area
F = (1.52×10⁴ Pa) (135 m²)
F = 2.05×10⁶ N
The total force the bottom of the tank needs to support is calculated using the formula for pressure which is Pressure = Force / Area. By rearranging this formula to get Force = Pressure x Area, and substituting the given values, we find that the total force is 2.052 x 106 Newtons.
Explanation:The subject of this question is from the field of Physics and it revolves around concepts of fluid pressure and force. The student is asked to calculate the total force exerted on the bottom of a water tank due to the pressure of the water above it. In physics, we know that pressure is defined as the force applied perpendicular to the surface of an object, per unit area. Mathematically this can be represented as Pressure = Force / Area. If we rearrange this equation to find Force, it transforms into Force = Pressure x Area.
Given in the question, the Pressure (P) is 1.52 x 10⁴ Pa and Area (A) is 135 m². Substituting these values into the equation gives us : Force = 1.52 x 104 Pa x 135 m² = 2.052 x 10⁶ N. Therefore, the bottom of the tank must support a force of 2.052 x 10⁶ Newtons.
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