a) The length of time required for the total pressure to rise from 0.110 atm to 0.145 atm is approximately 35.2 seconds.
b) The length of time required for the total pressure to rise from 0.110 atm to 0.220 atm is approximately 92.9 seconds.
c) Pf ≈ 0.054 atm
The total pressure after 110 seconds of reaction is approximately 0.054 atm.
To solve this problem, we can use the integrated rate law for a first-order reaction:
ln(Pf/Pi) = -kt
Where:
Pf is the final pressure
Pi is the initial pressure
k is the rate constant
t is the time
Let's solve each part of the problem:
Part A:
Using the given information:
Pi = 0.110 atm
Pf = 0.145 atm
k = 7.48 × 10^-3 s^-1
ln(Pf/Pi) = -kt
ln(0.145/0.110) = -(7.48 × 10^-3 s^-1) * t
0.263 = -7.48 × 10^-3 t
t ≈ 35.2 s
Part B:
Using the given information:
Pi = 0.110 atm
Pf = 0.220 atm
k = 7.48 × 10^-3 s^-1
ln(Pf/Pi) = -kt
ln(0.220/0.110) = -(7.48 × 10^-3 s^-1) * t
0.693 = -7.48 × 10^-3 t
t ≈ 92.9 s
Part C:
Using the given information:
t = 110 s
k = 7.48 × 10^-3 s^-1
We can rearrange the integrated rate law to solve for the final pressure (Pf):
ln(Pf/Pi) = -kt
Pf/Pi = e^(-kt)
Pf = Pi * e^(-kt)
Pf = (0.110 atm) * e^(-(7.48 × 10^-3 s^-1) * (110 s))
Pf ≈ 0.054 atm
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Which statement is correct?
a Star formation begins in the nebula
b White dwarfs become main-sequence stars when they gain mass
c Supergiants are stars that can absorb black holes
d Main-sequence stars are formed by comets
on an energy diagram, where is a stable equilibrium point? on an energy diagram, where is a stable equilibrium point? at a turning point where potential energy is changing the fastest at a local maximum point where the energy is zero at a local minimum point
On an energy diagram, a stable equilibrium point is found at a local minimum point. An energy diagram is a graph showing how potential energy varies as a reactant progresses to products in a chemical reaction.
Energy is graphed on the vertical axis, while the reaction's progress is graphed on the horizontal axis. Potential energy is indicated by the graph's contour, with valleys representing minimum potential energy and hills representing maximum potential energy.
An equilibrium point refers to the state of a reaction in which the reactants and products are present in the same quantities and rates, with no further progress. A system is said to be in a stable equilibrium if the response to a minor perturbation is to return to its original position.
In other words, the reaction will remain constant unless disturbed. In an energy diagram, a stable equilibrium point is found at a local minimum point.
Thus, we can conclude that on an energy diagram, a stable equilibrium point is found at a local minimum point.
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How many times larger is the mass of the Sun than the Earth? Hint
3.33
33.3
333
3,330
33,300
333,000
3,330,000
33,300,000
333,000,000
3,330,000,000
The mass of the Sun is approximately 333,000 times larger than the mass of the Earth.
The Sun is significantly larger and more massive than the Earth. To estimate the difference in mass between the two, we can compare their relative sizes.
The mass of the Sun is approximately 333,000 times larger than the mass of the Earth. This means that if we were to take the mass of the Earth as a unit (1x), the mass of the Sun would be approximately 333,000 times that unit.
This significant difference in mass is due to the Sun's much larger size and gravitational influence. The Sun is a massive star, while the Earth is a relatively small planet in comparison. The Sun's immense mass allows it to generate and sustain nuclear fusion reactions at its core, which produces the vast amount of energy that radiates from the Sun.
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In an element's square on the periodic table, the number with the greatest numerical value represents the
number of neutrons.
number of electrons.
atomic number.
atomic mass.
Answer: Atomic mass
Explanation:
I took the test!
your welcome
Answer:
Atomic Mass on edge2020
Explanation:
Just did it. And got it correct.
which term refers to a variable that is not allowed to change during an experiment
Answer:
Control Variable
Explanation:
The Control is a constant and not allowed to change.
How does an object’s motion change as a result of centripetal acceleration?
The speed decreases in the same direction.
The speed increases in the same direction.
The direction changes along with the speed.
The direction changes but not the speed.
Answer:D
Explanation:
Just took the test on ed
Answer:
D
Explanation:
The use of insulation in the walls of homes minimizes heat loss through which process?
Conduction
Convection
Radiation
Vaporization
The use of insulation in the walls of homes minimizes heat loss primarily through the process of conduction.
Conduction is the transfer of heat through direct contact between objects or substances that are at different temperatures. Insulation materials, such as foam, fiberglass, or cellulose, are poor conductors of heat, which means they restrict the transfer of heat between the warmer interior of the home and the colder external environment. By reducing heat conduction, insulation helps to maintain a more stable and comfortable temperature inside the home and reduces the need for excessive heating or cooling.
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how does the acceleration change when the radius is multiplied by x?
When the radius is multiplied by a factor of x, the acceleration will change by a factor of 1/x. When the radius of an object undergoing uniform circular motion is multiplied by a factor of x, the acceleration of the object will change inversely proportional to the square of x.
The acceleration of an object undergoing uniform circular motion is given by the equation:
a = [tex](v^2) / r[/tex]
Where a is the acceleration, v is the velocity of the object, and r is the radius of the circular path.
If we multiply the radius by a factor of x, the new radius would be x times the original radius[tex](r_new = x * r).[/tex]
Substituting the new radius into the equation for acceleration, we get:
[tex]a_{new = (v^2) / r_{new[/tex]
[tex]a_{new = (v^2) / (x * r)[/tex]
Now, let's compare the new acceleration ([tex]a_{new)[/tex] to the original acceleration (a):
[tex]a_{new / a = ((v^2) / (x * r)) / ((v^2) / r)[/tex]
Simplifying the expression, we have:
[tex]a_{new / a = r / (x * r)[/tex]
[tex]a_{new / a = 1 / x[/tex]
From the equation above, we can see that the ratio of the new acceleration to the original acceleration is equal to the inverse of x. This means that when the radius is multiplied by a factor of x, the acceleration will change by a factor of 1/x.
For example, if the radius is doubled (x = 2), the acceleration will be halved (1/2). If the radius is tripled (x = 3), the acceleration will be one-third (1/3) of the original value. This relationship holds true for any value of x.
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While standing in a low tunnel, you raise your arm and push against the ceiling with a force of 100 N. Your mass is 70 kg.
(a) What force does ceiling exert on you?
(b) What force does the floor exert on you?
The force exerted by the floor on you is 686 N. (a) The force exerted by the ceiling on you would be 100 N. The force that you exert on the ceiling, pushing upwards, would be equal and opposite to the force exerted by the ceiling on you.
This is in accordance with the Third Law of Newton which states that “For every action, there is an equal and opposite reaction.”The force exerted by you on the ceiling is called the action and the force exerted by the ceiling on you is called the reaction. Thus, the force exerted by the ceiling on you is 100 N.
(b) The force exerted by the floor on you would be your weight, that is, 70 kg × 9.8 m/s² = 686 N.The force exerted by the floor on you is known as the weight force. It is the force with which the Earth pulls on an object due to gravity. The weight force is always directed downwards, towards the center of the Earth, and is equal to the product of an object's mass and the acceleration due to gravity. Thus, the force exerted by the floor on you is 686 N.
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how far away (in km) is the moon (3,480 km linear diameter) from the earth if it has this angular diameter on the sky?solving for d in the small angle formula gives us:dkm
Given that the linear diameter of the moon is 3,480 km and we need to find how far away the moon is from the earth if it has this angular diameter on the sky. In order to find the distance,
we can use the small angle formula which is:θ = S / d
where,θ = angular diameter
S = actual size of the object
d = distance between object and
observer Solving for d gives: d = S / θ Now, we know that the linear diameter of the moon is 3,480 km and we need to find θ.
To find θ, we can use the following formula:θ = 2 arctan (d / 2D)
where, D = distance between the moon and the earth Since we need to find D,
we can rearrange the formula to get: D = d / tan(θ / 2) Now, we can substitute the given values in the formulas to find D. d = 3,480 kmθ
= ? (since this is given in the question)
We know that the angular diameter of the moon is given as the size of the moon in degrees on the sky. So, let's assume that the angular diameter of the moon is 0.5 degrees (this is a typical value).
θ = 0.5°
= (0.5 x π) / 180 radians
= 0.0087 radians D
= d / tan(θ / 2)
= 3480 / tan(0.0087 / 2)
= 384,400 km
Therefore, the moon is approximately 384,400 km away from the earth.
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What do you mean by the speed of car is 40 km per hour
Answer:
It means that the car is covering 40 kilometer per hour
Explanation:
a gardener pushes a box of tools across a driveway by applying a 37.5- n force that pushes downward at an angle of 22.8 o with respect to the horizontal. how much work is done if the box moves 4.05 m in the horizontal direction?
The work done when the box moves 4.05 m in the horizontal direction is calculated as to be equal to approximately 142 J. Formula for the work done is as : Work done (W) = Force (F) × Distance (d) × cosθ
To calculate the work done by a gardener who pushes a box of tools across a driveway by applying a 37.5-N force that pushes downward at an angle of 22.8° with respect to the horizontal, and moves 4.05 m in the horizontal direction, use the formula for work done, that is,
Work done (W) = Force (F) × Distance (d) × cosθ
Where: F = 37.5 N, d = 4.05 m, and θ = 22.8°
Substituting the values, we get
Work done (W) = 37.5 × 4.05 × cos 22.8°
≈ 142 J
Therefore, the work done is approximately 142 J.
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Scientists are exploring ways to increase the shelf life of milk by using pulsed electric fields to kill bacteria. One specific system uses 9.9 cm diameter circular plates which are separated by 0.75 cm. The space between the plates is filled with milk, which has the same dielectric constant κ as water. The plates are then charged to 31000 V. What is the capacitance of the system? Note: ǫ0 = 8.85 × 10−12 C 2 /(N ∗ m2 ) and κ = 80 for water. Answer in units of F.
The capacitance of the system with 9.9 cm diameter circular plates separated by 0.75 is 0.0247 Farads (F).
The capacitance (C) of a parallel plate capacitor can be calculated using the formula:
C = (ε₀ * κ * A) / d
where:
ε₀ = 8.85 × 10⁻¹² C^2/(N * m^2) is the vacuum permittivity constant,
κ = 80 is the dielectric constant of water (and milk in this case, since they have the same dielectric constant),
A = π * r^2 is the area of one of the circular plates (where r is the radius of the plate),
d = 0.75 cm = 0.0075 m is the separation between the plates.
First, let's find the radius (r) of the circular plates:
r = diameter / 2
r = 9.9 cm / 2 = 0.0495 m
Now, we can calculate the area (A) of one of the plates:
A = π * (0.0495 m)^2 = 0.007661 m²
Now, we can plug these values into the capacitance formula:
C = (8.85 × 10^(-12) C^2/(N * m^2) * 80 * 0.007661 m²) / 0.0075 m
C ≈ 0.0247 F
So, the capacitance of the system is approximately 0.0247 Farads (F).
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explain how different wavelengths of light are reflected or absorbed to cause different objects to appear different colors
Different wavelengths of light are reflected or absorbed to cause different objects to appear different colors. When light shines on an object, some wavelengths of light are absorbed by the object, while others are reflected. The wavelengths that are reflected determine the color of the object that we see.
For example, a blue object appears blue because it reflects blue wavelengths of light and absorbs other colors. Similarly, a red object appears red because it reflects red wavelengths of light and absorbs other colors. The main answer to the question of how different wavelengths of light are reflected or absorbed to cause different objects to appear different colors is through selective absorption and reflection of light.Explanation:The way different wavelengths of light are absorbed or reflected by different objects depends on the object's physical and chemical properties, such as its atomic structure and the type of molecules it contains. When light interacts with an object, its energy can be absorbed by electrons in the object's atoms or molecules, causing the electrons to move to higher energy levels. The amount of energy required to move an electron to a higher energy level depends on the wavelength of the light. Therefore, different colors of light can cause electrons in an object to move to different energy levels, depending on their wavelengths.
When an electron in an atom or molecule absorbs energy from light, it becomes excited and unstable. The electron can then release this energy by emitting a photon of light. The wavelength of the emitted photon depends on the energy level difference between the excited state and the ground state. The emitted light can have the same, higher, or lower energy than the absorbed light, depending on the energy level difference.The selective absorption and reflection of light by different objects is what gives them their characteristic colors. For example, a red object appears red because it absorbs blue and green wavelengths of light and reflects red wavelengths. A blue object appears blue because it absorbs red and green wavelengths of light and reflects blue wavelengths. A white object appears white because it reflects all wavelengths of light equally, while a black object appears black because it absorbs all wavelengths of light and reflects none.
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A squirrel in a tree drops an acorn. How long does it take the acorn to fall 40 feet?
Answer:
I need more information to answer this question. Like what is the acorns mass?
Explanation:
You want to buy a jacket that is on sale for $59.95, including tax. If you are paid $10.00 an hour for babysitting, how many hours will you have to babysit in order to earn enough money to pay for the jacket? You are paid to work only by the full hour.
Answer:
We need to work 6 hours to get 59.95$.
Explanation:
We need to get 59.95$ and the paid for each hour is 10.00$, hence:
[tex] \frac{10.00$}{h}*x = 59.95$ [/tex]
[tex] x = \frac{59.95$}{10.00$/h} = 5.995 h = 6 h [/tex]
Therefore, we need to work 6 hours to get 59.95$.
I hope it helps you!
Neha while driving to school computes the average speed for her trip to be 30km/h. While returning along the same path the average speed was 40km/h. What is her average speed for the whole journey?
Neha while driving to school computes the average speed for her trip to be 30km/h. While returning along the same path the average speed was 40km/h. Neha's average speed for the whole journey is approximately 34.29 km/h.
To calculate Neha's average speed for the whole journey, we can use the concept of average speed as the total distance traveled divided by the total time taken.
Let's assume Neha's one-way distance to school is "D" kilometers.
On her way to school:
- Neha's average speed is given as 30 km/h, which means she traveled the distance D at an average speed of 30 km/h. Therefore, the time taken for this part of the journey can be calculated as T1 = D / 30.
On her way back from school:
- Neha's average speed is given as 40 km/h, so she traveled the same distance D at an average speed of 40 km/h. The time taken for this part of the journey can be calculated as T2 = D / 40.
Now, to find the average speed for the whole journey, we need to calculate the total distance and the total time.
Total distance = 2D (since she traveled the same distance to and from school)
Total time = T1 + T2
Substituting the values, we have:
Total distance = 2D
Total time = (D / 30) + (D / 40) = (4D + 3D) / 120 = 7D / 120
Average speed = Total distance / Total time = 2D / (7D / 120) = 240D / 7D
Simplifying, we find:
Average speed = 240 / 7 ≈ 34.29 km/h
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A cheerleader waves her pom-pom in SHM with an amplitude of 17.2cm and a frequency of 0.895Hz.
I found\omega=5.6206
1. Find the acceleration when the pom-pom's coordinate is x= 9.00cm .
2. Find the speed when the pom-pom's coordinate is x= 9.00cm .
3. Find the time required to move from the equilibrium position directly to a point a distance 12.9cm away.
1. The acceleration when the pom-pom's coordinate is x = 9.00 cm isa = -ω^2x(t)= - (5.6206)^2 (9.00) = -284.5 cm/s²2.
2. The velocity when the pom-pom's coordinate is x = 9.00 cm is:v = - 97.4 sin(π/5) cm/s≈ - 74.0 cm/s (rounded to one decimal place)
3. The time required to move from the equilibrium position directly to a point a distance 12.9 cm away is 0.159 s.
1. The acceleration when the pom-pom's coordinate is x= 9.00cm, when the cheerleader waves her pom-pom in SHM with an amplitude of 17.2 cm and a frequency of 0.895 Hz can be found as follows:Given amplitude A = 17.2 cm, the angular frequency ω = 5.6206, and x = 9.00 cm.The displacement of the pom-pom is given by:x(t) = Acos(ωt)For SHM, acceleration is given bya = -ω^2x(t)Therefore, the acceleration when the pom-pom's coordinate is x = 9.00 cm isa = -ω^2x(t)= - (5.6206)^2 (9.00) = -284.5 cm/s²2. The speed when the pom-pom's coordinate is x = 9.00 cm can be calculated using the following formula:
Given amplitude A = 17.2 cm, the angular frequency ω = 5.6206, and x = 9.00 cm.The displacement of the pom-pom is given by:x(t) = Acos(ωt)For SHM, the velocity is given byv = -ωAsin(ωt)When the pom-pom's coordinate is x = 9.00 cm, the velocity can be found as:v = -ωAsin(ωt)= - (5.6206) (17.2)sin(ωt)= - 97.4 sin(ωt) cm/sAt x = 9.00 cm,sin(ωt) = sin(π/5)The velocity when the pom-pom's coordinate is x = 9.00 cm is:v = - 97.4 sin(π/5) cm/s≈ - 74.0 cm/s (rounded to one decimal place)3. The time required to move from the equilibrium position directly to a point a distance 12.9 cm away can be found using the following formula:
Given amplitude A = 17.2 cm, the angular frequency ω = 5.6206, and x = 12.9 cm.The displacement of the pom-pom is given by:x(t) = Acos(ωt)At x = 0.0 cm, cos(ωt) = 1.0At x = 12.9 cm, cos(ωt) = 0.490The time required to move from x = 0.0 cm to x = 12.9 cm can be found as:T = (π/2ω) cos⁻¹(x/A) = (π/2 × 5.6206) cos⁻¹(0.490/17.2) = 0.159 s (rounded to three decimal places)Therefore, the time required to move from the equilibrium position directly to a point a distance 12.9 cm away is 0.159 s.
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a storm wind is blowing at a high speed of 100 km/hr over a flat roof of 100 m2. if inside the house there is 1 atm pressure and the density of air is 1.3 kg/m3, calculate the pressure difference between the inside and the outside of the roof.
The pressure difference between the inside and the outside of the roof is 498.895 N/m² (rounded off to three significant figures). Pressure difference between the inside and the outside of the roof is given as follows: ΔP = 0.5ρv².
Given: Wind Speed = 100 km/h, Area of the roof = 100 m²
Pressure inside the house = 1 atm, Density of air = 1.3 kg/m³
The pressure difference between the inside and the outside of the roof is given as follows:ΔP = 0.5ρv² Where,ΔP = pressure difference between the inside and the outside of the roof
ρ = density of air, v = velocity of air over the roof
Calculation of Velocity
We know that, Velocity = distance/time, Where, distance = 1000 m (As 1 km = 1000 m)time = 1 h
Therefore, Velocity = 100 km/hr
= (100 x 1000) / (60 x 60) m/s
= 27.78 m/s
Calculation of Pressure Difference
Using the above formula,
ΔP = 0.5 × ρ × v²
= 0.5 × 1.3 kg/m³ × (27.78 m/s)²
= 0.5 × 1.3 × 768.97
= 498.895 N/m²
Hence, the pressure difference between the inside and the outside of the roof is 498.895 N/m² (rounded off to three significant figures).
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A stone pillar has a mass of 3.0 tonnes, if the area of its base is 0.3m2, calculate the pressure under the pillar.
Answer:
P = 98100 [Pa]
Explanation:
In order to solve this problem, we must remember that pressure is defined as the relationship between the force and the area where force is applied.
P = F/A
where:
F = force [N] (Newtons)
A = area = 0.3[m^2]
P = pressure [N/m^2] or [Pa] (pascals)
F = m*g
where:
m = mass = 3 [Ton] = 3000 [kg]
g = gravity acceleration = 9.81 [m/s^2]
F = 3000*9.81 = 29430 [N]
Now replacing
P = 29430/0.3
P = 98100 [Pa]
Many opera singers (and some pop singers) have a range of about 2.5 octaves or even greater. Suppose a soprano’s range extends from A below middle C (frequency 220 Hz) up to Eb -flat above high C (frequency 1244 Hz). Although the vocal tract is quite complicated, we can model it as a resonating air column, like an organ pipe, that is open at the top and closed at the bottom. The column extends from the mouth down to the diaphragm in the chest cavity, and we can also assume that the lowest note is the fundamental. How long is this column of air if v = 354 m/s? Does your result seem reasonable, on the basis of observations of your own body?
Many opera singers (and some pop singers) have a range of about 2.5 octaves or even greater. Suppose a soprano’s range extends from A below middle C (frequency 220 Hz) up to Eb -flat above high C (frequency 1244 Hz). The length of the air column is L = 0.402 m or 40.2 cm.
To determine the length of the air column based on the given frequency range and assuming the lowest note as the fundamental, we can use the formula for the wavelength of a sound wave in a closed-open tube:
λ = 4L,
where λ is the wavelength and L is the length of the air column.
The speed of sound in air is given as v = 354 m/s.
Let's first calculate the wavelength of the lowest note, A below middle C (220 Hz):
λ1 = v / f1,
where f1 is the frequency of the lowest note.
λ1 = 354 m/s / 220 Hz.
Next, calculate the wavelength of the highest note, Eb-flat above high C (1244 Hz):
λ2 = v / f2,
where f2 is the frequency of the highest note.
λ2 = 354 m/s / 1244 Hz.
Since the lowest note corresponds to the fundamental frequency, we can set the length of the air column as one-fourth of the wavelength of the lowest note:
L = λ1 / 4.
Now, let's calculate the length of the air column:
L = (354 m/s / 220 Hz) / 4.
Therefore, the length of the air column is L = 0.402 m or 40.2 cm.
Considering the range of 2.5 octaves from A below middle C to Eb-flat above high C, the resulting length of the air column appears reasonable. It's important to note that this is a simplified model and the actual human vocal tract is more complex. Factors like vocal cord tension, shape of the vocal tract, and resonances in the body can also contribute to the range and quality of the singer's voice.
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In a collision between two unequal masses, which mass receives a greater magnitude impulse? a) the smaller mass b) They receive equal impulses. c) the larger mass d) It depends on direction of masses.
In a collision between two unequal masses, both masses receive equal magnitude impulses.
When two objects collide, the total momentum before the collision is equal to the total momentum after the collision (according to the law of conservation of momentum). However, the individual magnitudes of the impulses experienced by the two masses can differ.
Impulse is defined as the change in momentum of an object and is equal to the force applied to the object multiplied by the time it acts. In the case of a collision between two unequal masses, the change in momentum of each object is the same, resulting in equal magnitude impulses.
The impulse experienced by an object can be calculated using the equation:
Impulse = Force × Time
During a collision, the force exerted on each object is equal and opposite, according to Newton's third law of motion. The duration of the collision is the same for both masses. Therefore, the product of force and time, which determines the impulse, is equal for both masses.
Hence, in a collision between two unequal masses, both masses receive equal magnitude impulses.
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3. An object of mass 90 kg travels down a slide.
Calculate the change in gravitational potential energy in joules of the object when it moves 15 m
vertically downwards.
(2 Points)
Enter your answer
4. Calculate the maximum possible speed in m/s that the object in question 3 could reach at the
bottom of the slide.
Give your answer to 3.s.f
(3 Points)
Enter your answer
Answer:
3) Ep = 13243.5[J]
4) v = 17.15 [m/s]
Explanation:
3) In order to solve this problem, we must use the principle of energy conservation. That is, the energy will be transformed from potential energy to kinetic energy. We can calculate the potential energy with the mass and height data, as shown below.
m = mass = 90 [kg]
h = elevation = 15 [m]
Potential energy is defined as the product of mass by gravity by height.
[tex]E_{p}=m*g*h\\E_{p}=90*9.81*15\\E_{p}=13243.5[J][/tex]
This energy will be transformed into kinetic energy.
Ek = 13243.5 [J]
4) The velocity can be determined by defining the kinetic energy, as shown below.
[tex]E_{k}=\frac{1}{2} *m*v^{2} \\v = \sqrt{\frac{2*E_{k} }{m} }\\ v= \sqrt{\frac{2*13243.5 }{90} }\\v=17.15[m/s][/tex]
A force of 120 N is applied to the front of a sled so as to pull the sled a distance of 165
meters. How much work was done by the applied force?*
Answer:
The answer is 19,800 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distanceFrom the question
force = 120 N
distance = 165 m
We have
work done = 120 × 165
We have the final answer as
19,800 JHope this helps you
A block weighing 35 N is resting on a steel table (us = 0.40).
The minimum force to start this block moving is
N.
Answer: 14
Explanation: 35•0.40
The minimum force to start this block moving is 14N,formula to be used to find minimum force(F= μ N
What does physics mean by minimum force?those minimal steps, including the use of force, required to defuse a crisis or protect oneself from an aggressive act or hostile intent. Once the target obeys orders or stops taking hostile action, all actions must stop.
How do you determine the greatest and smallest force?To solve such problems, you must find the second derivative: The force is at its minimum if the second derivative is positive; at its maximum if the second derivative is negative.
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A 70 kg man weighs himself at the north pole and at the equator. By how much do the two readings differ? Use 6.4×106m as the earth's radius.
The weight readings of the 70 kg man at the North Pole and the Equator differ by approximately 0.57 N. The weight of an object is given by the formula W = m * g, where W is the weight, m is the mass, and g is the acceleration due to gravity. At the North Pole, the acceleration due to gravity is slightly higher due to the polar flattening of the Earth. At the Equator, the centrifugal force caused by the Earth's rotation slightly reduces the effective gravitational force.
The difference in weight between the two locations can be calculated by subtracting the weight at the North Pole from the weight at the Equator.
Weight at the North Pole: W_north = m * g_north
Weight at the Equator: W_equator = m * g_equator
The difference in weight is: W_difference = W_equator - W_north
The acceleration due to gravity at the North Pole is approximately 9.832 m/s², and at the Equator is approximately 9.780 m/s². Substituting these values into the formula, we get:
W_difference = (70 kg) * (9.780 m/s² - 9.832 m/s²) ≈ 0.57 N.
Therefore, the weight readings of the 70 kg man at the North Pole and the Equator differ by approximately 0.57 N.
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In a house, ten 60-watt electric bulbs, a refrigerator rated at 200 watt, one electric kettle rated 220 V watt, one electric cooker rated 3 K watt and one television set rated 100 watt are all used for 10 hours in a day. Given that the cost for one kilowatt-hour (unit of electrical energy is $100), calculate: a) the number of units that will be measured by the electric meter. b) the cost of energy consumed.
A) The number of units measured by the electric meter is 41.2 units. B) The cost of energy consumed is $4,120.
To calculate the number of units measured by the electric meter, we need to find the total power consumption in kilowatts and multiply it by the number of hours used.
First, let's calculate the total power consumption:
10 bulbs x 60 watts = 600 watts
1 refrigerator = 200 watts
1 electric kettle = 220 watts
1 electric cooker = 3000 watts (since 3 K means 3,000)
1 television set = 100 watts
Now, let's convert the power consumption to kilowatts:
600 watts + 200 watts + 220 watts + 3000 watts + 100 watts = 4120 watts
4120 watts ÷ 1000 = 4.12 kilowatts
Next, let's calculate the number of units measured by the electric meter:
4.12 kilowatts x 10 hours = 41.2 kilowatt-hours
Finally, let's calculate the cost of energy consumed:
41.2 kilowatt-hours x $100 = $4,120
Therefore, a) the number of units measured by the electric meter is 41.2 units, and b) the cost of energy consumed is $4,120.
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according to coulomb's law, if the separation between two particles of the same charge is tripled, the potential energy of the two particles: a. is three times as high as it was before the distance separation. b. is one-ninth as high as it was before the separation. c. does not change. d. is one-third as high as it was before the separation.
According to Coulomb's law, if separation between two particles of same charge is tripled, then potential energy of two particles is reduced to d) one-third as high as it was before separation. Option (d) is the correct answer.
Coulomb's law is a formula that relates the force between two charged objects, the distance between them, and the charges themselves.
According to Coulomb's law, the magnitude of the electrostatic force between two point charges is directly proportional to the product of the magnitudes of each charge and inversely proportional to the square of the distance between them.
Coulomb's law equation: [tex]F = k * (q1 * q2) / r^2[/tex]
where F is the electrostatic force, k is Coulomb's constant (8.99 x 10⁹ Nm²/C²), q₁ and q₂ are the magnitudes of the two charges in Coulombs, and r is the distance between the two charges in meters.
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An explanation for planetary differentiation is_____________.
Question 5 options:
all the planets are different colors and some have life, while others do not
different scientist are chosen to explore planet simularities
The process through which distinct layers with characteristic chemical and/or physical properties are formed
planets have different orbits around the sun and therefore consist of varying elements
Answer:
C. The process through which distinct layers with characteristic chemical and/or physical properties are formed
Explanation:
I know It cause i took that test last year. Just wanna help GL.
The process by which distinct layers with distinct chemical and/or physical properties form is one explanation for planetary differentiation.
What is Orbit?In celestial mechanics, an orbit is the curved path taken by an object, such as the trajectory of a planet around a star, a natural satellite around a planet, or an artificial satellite around a space object or location, such as a planet, moon, asteroid, or Lagrange point.An orbit is the curved path taken by a spacecraft, planet, moon, star, or other object as it is drawn by the gravity of another object. Gravity is what attracts mass-containing objects in space. An orbit is the path that an object takes around a specific point in space, such as the path that the Moon takes around the Earth.To Learn more about orbit refer to:
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a pipe of length 6.4 m is closed at one end and sustains a standing wave at its second overtone. determine the distance between a node and an adjacent antinode.
In a standing wave, the distance between a node and an adjacent antinode is equal to one-fourth of the wavelength of the wave. The distance between a node and an adjacent antinode in this pipe is approximately 2.13 meters
Since the pipe is closed at one end, the fundamental frequency (first harmonic) is not present, and the first overtone corresponds to the second harmonic. The second overtone corresponds to the third harmonic.
The wavelength of a standing wave in a closed pipe is given by the formula:
λ = 4L/n
where λ is the wavelength, L is the length of the pipe, and n is the harmonic number.
In this case, the length of the pipe is 6.4 m and the harmonic number is 3 (for the second overtone). Plugging these values into the formula, we get:
λ = 4(6.4)/3 = 25.6/3 = 8.53 m
Therefore, the distance between a node and an adjacent antinode is one-fourth of the wavelength:
8.53 m/4 = 2.13 m
So, the distance between a node and an adjacent antinode in this pipe is approximately 2.13 meters.
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