According to the given statement the intensity of the sound wave 100.0 m from the bell is approximately 3.18 x 10^-8 W/m^2.
To calculate the intensity of the wave 100.0m from the bell, we can use the formula:
I = P/4πr^2
where I is the intensity of the wave, P is the power of the wave, r is the distance from the source of the wave, and π is a mathematical constant.
Substituting the values given in the problem, we have:
I = (4.00*10^-3W)/[4π(100.0m)^2]
I = 1.01*10^-8 W/m^2
So, the intensity of the wave 100.0m from the bell is 1.01*10^-8 W/m^2.
It's important to note that intensity is a measure of the energy carried by the wave per unit area, and it's proportional to the square of the amplitude of the wave. The higher the intensity, the more energy the wave carries. In this case, the intensity is quite low, indicating that the sound energy from the bell is not very intense at a distance of 100.0m.
The intensity of a sound wave is defined as the power per unit area. In this case, the bell produces sound energy at a rate of 4.00 x 10^-3 W and radiates it uniformly in all directions. To find the intensity at a distance of 100.0 m from the bell, we can use the formula for the intensity of a spherical wave:
Intensity (I) = Power (P) / Surface Area (A)
The surface area of a sphere is given by the formula A = 4πr^2, where r is the radius (distance from the bell). In this case, r = 100.0 m.
Surface Area (A) = 4π(100.0)^2 = 4π(10,000) = 40,000π m^2
Now, we can find the intensity:
Intensity (I) = Power (P) / Surface Area (A)
I = (4.00 x 10^-3 W) / (40,000π m^2)
I ≈ 3.18 x 10^-8 W/m^2
The intensity of the sound wave 100.0 m from the bell is approximately 3.18 x 10^-8 W/m^2.
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On Earth's surface at sea level, what is the weight of an object with a mass of 180 kg?
860 newtons
1764 newtons
400 newtons
200 pounds
Considering the definition of weight, on Earth's surface at sea level, the weight of an object with a mass of 180 kg is 1764 N.
What is weightMass is the amount of matter that a body contains and weight is the action exerted by the force of gravity on the body.
The mass of an object will always be the same, no matter where it is located. Instead, the weight of the object will vary according to the force of gravity acting on it.
The weight is calculated as the product of the mass of the object and the value of the gravitational acceleration or gravity:
Weight= mass× gravity
The value of the acceleration constant on Earth is 9.8 m/s². The weight is proportional to the mass of the object. The unit of weight is expressed in Newton (N).
Weight of the object in this caseIn this case, you know:
mass= 180 kggravity= 9.8 m/s²Replacing on the definition of weight:
Weight= 180 kg× 9.8 m/s²
Solving:
Weight= 1764 N
Finally, on Earth's surface at sea level, the weight of an object with a mass of 180 kg is 1764 N.
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when nasa (national aeronautics and space administration) first tried to launch a man into orbit, there were a lot of factors that had to be considered when making the calculations (back in the day, by hand) for the launch. today, these calculations are done with computers, but still need to be entered in by the astronauts right before lift-off. some factors that need to be entered include information about weather - including temperature, wind speed, humidity and dew point. how should this information be presented to the astronaut so that they can enter it into the computers easily and correctly?
The information about weather factors such as temperature, wind speed, humidity, and dew point should be presented to the astronaut in a clear and organized format, possibly using a table or a simple list. This will ensure easy understanding and accurate entry into the computers right before lift-off, thus contributing to a successful launch for NASA (National Aeronautics and Space Administration).
To present the weather information to the astronaut in a clear and concise manner, it is important to use easy-to-read visual aids and simple language. One approach could be to display the weather information on a screen or monitor in a format that is easy to understand, such as a chart or graph. The information should be organized logically and labeled clearly so that the astronaut can quickly find the data they need. Additionally, it may be helpful to provide a brief explanation of how each piece of weather data affects the launch, so that the astronaut can understand the importance of each input. Overall, the goal should be to present the information in a way that is easy to digest and that allows the astronaut to make quick, accurate inputs into the computer system.
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newton's three laws of motion and his law of gravity have helped us better understand and describe the behavior of objects on earth. how have they also been instrumental in helping us understand the solar system?
Newton's laws helped him mathematically describe the motion of the planets.
An object in motion will remain in motion unless something acts upon it. Because a planet is moving in an ellipse this law states that there must be some “force” acting upon the planet.
The second law tells how the motion will change when a force acts upon the object. An accelerating object can either change how fast it is moving, the direction it is moving, or both.
The third law describes, when the sun pulls on a planet with the force of gravity, the planet pulls on the sun with a force of equal magnitude. But, because the sun is so much more massive than the planet.
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--The complete question is, Newton's three laws of motion and his law of gravity have helped us better understand and describe the behavior of objects on Earth. How have they also been instrumental in helping us understand the Solar System?
Choose one:
Newton's laws helped prove that we are part of the Milky Way Galaxy.
Newton's laws helped him mathematically describe the motion of the planets.
Newton's laws helped prove that the Sun is at the center of the Solar System.
Newton's laws helped describe the formation of the Solar System.--
Calculate the surface area (SA). volume and the surface-sree-to-volume mbi (SAV) of two different sized cubes Drag the numbers to their correct locations in the table Reset Help 0.28 0.4 0.9 10 24 150 30 375 78 253.5 2740 Surface area (cm) Volume (cm) Surface-area-to-volume ratio 2.5 cm cube 6.5 cm cube
The surface area (SA) volume and the surface-sree-to-volume mbi (SAV) of two different sized cubes Surface area (cm^2) Volume (cm^3) Surface-area-to-volume ratio (cm^(-1)) is 2.4/ 0.923
To calculate the surface area (SA), volume, and surface-area-to-volume ratio (SAV) of the two different sized cubes, let's use the following formulas:
Surface Area (SA) of a cube: SA = 6 * (side length)^2
Volume of a cube: V = (side length)^3
Surface-Area-to-Volume ratio (SAV) of a cube: SAV = SA / V
Let's calculate them for the two cubes:
For the 2.5 cm cube:
Side length = 2.5 cm
Surface Area (SA) = 6 * (2.5 cm)^2 = 6 * 6.25 cm^2 = 37.5 cm^2
Volume (V) = (2.5 cm)^3 = 15.625 cm^3
Surface-Area-to-Volume ratio (SAV) = 37.5 cm^2 / 15.625 cm^3 ≈ 2.4 cm^(-1)
For the 6.5 cm cube:
Side length = 6.5 cm
Surface Area (SA) = 6 * (6.5 cm)^2 = 6 * 42.25 cm^2 = 253.5 cm^2
Volume (V) = (6.5 cm)^3 = 274.625 cm^3
Surface-Area-to-Volume ratio (SAV) = 253.5 cm^2 / 274.625 cm^3 ≈ 0.923 cm^(-1)
Placing these values in the table:
Surface area (cm^2) Volume (cm^3) Surface-area-to-volume ratio (cm^(-1)) is( 2.4 cm^(-1))/(0.923 cm^(-1))
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A research submarine has a 40-cm-diameter window that is 8.1 cm thick. The manufacturer says the window can withstand forces up to 1.2×106 N . What is the submarine's maximum safe depth in salt water?
The pressure inside the submarine is maintained at 1.0 atm.
Please, provide a detailed answer, thank you!
The maximum safe depth of the submarine in saltwater is approximately 446 meters.
Here, the diameter of the window, d = 40 cm, Radius, r = 20 cm. The thickness of the window, t = 8.1 cm. The force that the window can withstand, is F = 1.2 × 106 N. The pressure of the inside of the submarine, P1 = 1.0 atm. Pressure at the maximum safe depth, P2 =?
The water pressure at a depth of h meters can be calculated using the formula: P = hρg + P0 where,ρ = density of salt water = 1025 kg/m3g = acceleration due to gravity = 9.8 m/s2P0 = atmospheric pressure at the surface = 1.013 × 105 N/m2At the maximum safe depth, the force due to the pressure outside the window must be less than or equal to the force the window can withstand.
Therefore, P2 = F/ (πr2) + P1= 1.2 × 106 / [(3.14)(0.2)2] + 1 × 105= 1.14 × 107 N/m2. At this pressure, the depth h can be calculated as follows: 1.14 × 107 = h × 1025 × 9.8 + 1.013 × 105h = 446 meters. Therefore, the maximum safe depth of the submarine in saltwater is approximately 446 meters.
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What is acceleration?
A.speed
B.distance over time
C.speed with direction
D.a change in motion over time
Answer:
c
Explanation:
Five grams of nitrogen gas at an initial pressure of 3.0 atm and at 20? C undergo an isobaric expansion until the volume has tripled.
a. What is the gas volume after the expansion?
b. What is the gas temperature after the expansion? The gas pressure is then decreased at constant volume until the original temperature is reached.
a. To determine the gas volume after the isobaric expansion, we can use the ideal gas law:
PV = nRT
Where P is the pressure, V is the volume, n is the amount of substance (in moles), R is the ideal gas constant, and T is the temperature (in Kelvin).
Since the pressure remains constant during the expansion, we can write:
(V1)(P1) = (V2)(P2)
where V1 and P1 are the initial volume and pressure, respectively, and V2 and P2 are the final volume and pressure, respectively. We can solve for V2:
V2 = (V1)(P1)/(P2) = (5 g)/(28.0134 g/mol)(3.0 atm) x 3 = 6.39 L
Therefore, the gas volume after the isobaric expansion is 6.39 L.
b. To determine the gas temperature after the isobaric expansion and subsequent decrease in pressure at constant volume, we can use the combined gas law:
(P1)(V1)/(T1) = (P2)(V2)/(T2)
where P1, V1, and T1 are the initial pressure, volume, and temperature, respectively, and P2, V2, and T2 are the final pressure, volume, and temperature, respectively.
Since the volume remains constant during the pressure decrease, we can write:
(P1)/(T1) = (P2)/(T2)
Solving for T2:
T2 = (P2)/(P1)(T1) = (1 atm)/(3.0 atm)(293 K) x 20 + 273 = 300.8 K
Therefore, the gas temperature after the isobaric expansion and pressure decrease is 300.8 K (27.65 °C).
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What approximately is the small-signal resistance, in ohms, of a silicon p-n junction diode when it is biased to ID=1 mA ?
The small-signal resistance of a silicon p-n junction diode biased at 1 mA is approximately 26 ohms.
The small-signal resistance of a p-n junction diode is the reciprocal of the slope of the diode's current-voltage (I-V) curve at a particular bias point. At low bias currents, such as 1 mA, the I-V curve of a silicon p-n junction diode is nearly exponential, and the small-signal resistance is approximately equal to the dynamic resistance of the diode.
The dynamic resistance of a silicon p-n junction diode can be approximated using the following equation:
rd = (n * VT) / ID
where rd is the dynamic resistance in ohms, n is the ideality factor of the diode (typically between 1 and 2 for a silicon diode), VT is the thermal voltage (approximately 26 mV at room temperature), and ID is the bias current in amperes.
Plugging in ID = 1 mA and assuming an ideality factor of 1, we get:
rd = (1 * 26 mV) / (1 mA) = 26 ohms
Therefore, the small-signal resistance of a silicon p-n junction diode biased at 1 mA is approximately 26 ohms.
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A snowball rolls off a barn roof that slopes downward at an angle of α= 44.0∘ . (See the figure below) The edge of the roof is H= 14.0 m above the ground, and the snowball has a speed of v = 4.00 m/s as it rolls off the roof. Ignore air resistance.
The horizontal distance traveled by the snowball is 4.11 m.
your question is not complete, it seems to be missing the following information;
how far does the ball travel horizontally ?
The given parameters;
angle of inclination, α = 44.0∘height of the roof, H = 14 mvelocity of the ball, v = 4 m/sThe time of flight of the snowball is calculated as;
\(h_y = v_0_yt + \frac{1}{2} gt^2\\\\14 = (4\times sin(44))t + 0.5\times 9.8t^2\\\\14 = 2.78t + 4.9t^2\\\\4.9t^2 +2.78t - 14 = 0\\\\solve \ the \ quadratic \ equation \ using \ formula \ method;\\\\a = 4.9, \ b = 2.78 ,\ c = -14\\\\t = \frac{-b \ \ +/- \ \ \sqrt{b^2 - 4ac} }{2a} \\\\t = \frac{-2.78 \ \ +/- \ \ \sqrt{(2.78)^2 - 4(4.9\times -14)} }{2\times 4.9}\\\\t = 1.43 \ s\)
The horizontal distance traveled by the snowball is calculated as;
\(X = v_0_x \times t\\\\X = (4 \times cos(44) ) \times 1.43\\\\X = 4.11 \ m\)
Thus, the horizontal distance traveled by the snowball is 4.11 m.
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Derive Isothermal process through ideal gas.(anyone plzz!!)
Answer:
Hey, bro here is the explanation....
Explanation:
Hope it helps...
What conversion takes place in a motor?
O A. An electric current into a magnetic field
B. A lower voltage into a higher voltage
O C. Mechanical energy into electric energy
O D. Electric energy into mechanical energy
Answer:
D. Electric energy into mechanical energy
Explanation:
hope it helps
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Evaluate cos(30°).
ОА. 1.00
ов. 0.87
ОС. 0.50
ОС
D. 0.58
Answer:
The answer for cos(30°) is 0.87
Convert 1.5 days to s
Convert 5.2 ft to m
Convert 3600 s to hr
Convert 10.2 m to ft
Convert 305 g to kg
Convert 180 pm to m
Convert 73 kg to g
Convert 1,366 s to min
Convert 86,000 m to km
Please answer these and SHOW ALL WORK, please please please show ALL WORK. Need this done right now please help! Thank you so much!
One minute has 60 seconds, One hour has 60 minutes and one day has 24 hours. Thus, 80 x 60 x 24 = 86,400 seconds in a day.
What is the formula for days to seconds?The information about how many seconds there are in a minute, how many minutes there are in an hour, and how many hours there are in a day can be used to quickly and efficiently answer this question. The next step is to convert 90 minutes into hours and minutes because there are only 60 minutes in an hour: 90 60 = 1.5 hours. A minute has 60 seconds, thus an hour (60 mins) has 3,600 seconds (60 x 60), and if you multiply that number by three hours, you get 10,800 seconds. Assuming that each month has 30 days, a whole year has 360 days. A different European approach (30E+/360) Date A will be modified if it coincides with the 31st of a given month.To learn more about days to seconds refer to:
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Calculate the work done by a 4.2 N force pushing a 450. g sandwich across a table 0.8 m wide.
Answer:
3.36 Joules
Explanation:
Work done= Force × distance
F=4.2 N
distance= 0.8 m
work done= 4.2 × 0.8
work done= 3.36 Joules
Read the article Watering Livestock with Renewable Energy.
Why does it make sense for ranchers to use renewable energy to pump water?
Animals do not need water during the summer.
In most of the United States, there is not enough wind to run pumping systems.
Solar energy is strongest in the winter, when water is needed for animals and crops.
Wind and solar energy help save money and reduce air pollution.
Answer:
D. Wind and solar energy help save money and reduce air pollution.
Explanation:
Answer:
d
Explanation:
edge 2021
An overhead East-West transmission line carries a current of 250. A in each of two parallel wires. The two wires are separated by 1.20 m, the northern wire carries current to the east, and the southern wire carries current to the west. (a) Please find the magnitude and the direction of the magnetic field at a point midway between the two wires. (Ignore the carth's magnetic field.) (b) Please find the magnitude and the direction of the magnetic field at a point that is 2.00 m below the point of part (a). (lgnore the earth's magnetic field.)
Answer: (a) The magnitude of the magnetic field at a point midway between the two wires is 1.20 × 10⁻⁵ T and the direction of the magnetic field is out of the page.
(b) The magnitude of the magnetic field at a point that is 2.00 m below the point of part (a) is 2.93 × 10⁻⁷ T and the direction of the magnetic field is out of the page.
(a) The magnitude of the magnetic field at a point midway between the two wires is 1.20 × 10⁻⁵ T and the direction of the magnetic field is out of the page. Between two parallel current-carrying wires, the magnetic field has a direction that is perpendicular to both the direction of current flow and the direction that connects the two wires.
According to the right-hand rule, we can figure out the direction of the magnetic field. The right-hand rule says that if you point your thumb in the direction of the current and curl your fingers, your fingers point in the direction of the magnetic field. As a result, the northern wire's magnetic field is directed up, while the southern wire's magnetic field is directed down. Since the two magnetic fields have the same magnitude, they cancel each other out in the horizontal direction.
The magnetic field at the midpoint is therefore perpendicular to the plane formed by the two wires, and the magnitude is given by: B = (μ₀I)/(2πr) = (4π × 10⁻⁷ T · m/A) × (250 A) / (2π × 0.600 m) = 1.20 × 10⁻⁵ T.
The magnetic field is out of the page because the two magnetic fields are in opposite directions and cancel out in the horizontal direction.
(b) The magnitude of the magnetic field at a point that is 2.00 m below the point of part (a) is 2.93 × 10⁻⁷ T and the direction of the magnetic field is out of the page.
The magnetic field at a point that is 2.00 m below the midpoint is required. The magnetic field is inversely proportional to the square of the distance from the wires.
Therefore, the magnetic field at this point is given by: B = (μ₀I)/(2πr) = (4π × 10⁻⁷ T · m/A) × (250 A) / (2π × √(1.20² + 2²) m) = 2.93 × 10⁻⁷ T. The magnetic field at this point is out of the page since the wires are so far apart that they can be treated as two separate current sources. The field has the same magnitude as the field created by a single wire carrying a current of 250 A and located 1.20 m away.
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Which describes the sum of potential energy and kinetic energy of objects or systems? *
a. nuclear energy and electric energy
b. nuclear and mechanical energy
c. thermal energy and electric energy
d. thermal energy and mechanical energy
Answer:
The Total Mechanical Energy
The total amount of mechanical energy is merely the sum of the potential energy and the kinetic energy. This sum is simply referred to as the total mechanical energy (abbreviated TME).
Thermal energy and mechanical energy describes the sum of potential energy and kinetic energy of objects or systems. Correct option is D.
Potential Energy: This is the energy that an object possesses due to its position or condition. For example, a book placed on a shelf has potential energy because it can potentially fall down. The higher the object is positioned, the more potential energy it has.
Kinetic Energy: This is the energy of motion. An object that is moving has kinetic energy. The kinetic energy of an object depends on its mass and its velocity (speed).
Thermal Energy: This is the energy associated with the random motion of particles within a substance. It's related to temperature and is a form of kinetic energy at the microscopic level.
Mechanical Energy: This is the sum of potential energy and kinetic energy in a mechanical system. In other words, it accounts for both the energy an object has due to its position and the energy it has due to its motion.
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A 45 kg wagon is being pulled with a rope that makes an angle of 380 with the horizontal. The applied force is 410 N and the coefficient of kinetic friction between the wagon and the ground is 0. 18.
b) What are the x and y components of the applied force?
c) What is the normal force acting on the wagon? Is this greater than or less than the wagon’s weight? What impact does this have on the kinetic friction force?
d) Find the acceleration of the wagon in the x direction
a) The weight of the wagon can be -249.6 N (negative because the force is acting downwards)
b) The x component of the applied force is 410cos(38°) ≈ 318.7 N and the y component is 410sin(38°) ≈ 252.6 N.
c) The normal force acting on the wagon is 436.5 N, which is greater than the wagon's weight. This means there is a net upward force on the wagon, reducing the force of friction.
d), The acceleration of the wagon in the x direction is\(6.505 m/s^2.\)
a) The weight of the wagon can be calculated as:
Weight = mass x gravity
= 45 kg x 9.8 \(m/s^2\)
= 441 N
The angle of the applied force with the horizontal is 380, so the x and y components of the applied force can be calculated as:
F_x = F_applied * cos(380)
= 410 N * cos(380)
= 327.2 N
F_y = F_applied * sin(380)
= 410 N * sin(380)
= -249.6 N (negative because the force is acting downwards)
b) The normal force, N, acting on the wagon can be calculated as:
N = Weight + F_y
= 441 N - 249.6 N
= 191.4 N
The normal force is less than the wagon's weight, which means that the wagon is experiencing a net force downwards. This impacts the kinetic friction force, which will act in the opposite direction to the wagon's motion to resist this downward force.
c) The coefficient of kinetic friction, μ_k, is given as 0.18. The force of kinetic friction, F_k, can be calculated as:
F_k = μ_k * N
= 0.18 * 191.4 N
= 34.452 N
The acceleration of the wagon in the x direction, a_x, can be calculated using Newton's second law, which states that:
ΣF_x = m*a_x
d) The only force in the x direction is the applied force, so we have:
F_x - F_k = m*a_x
Substituting the values, we get:
327.2 N - 34.452 N = 45 kg * a_x
Simplifying:
292.748 N = 45 kg * a_x
a_x = \(6.505 m/s^2\)
Therefore, the acceleration of the wagon in the x direction is\(6.505 m/s^2.\)
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help me please
1. Since seatbelts simply act as a method to reduce your velocity, why do they need to be used?
2. What is wrong with the assumption that the steering wheel or the dash of the motor vehicle would bring you to a safe stop, similar a seat belt
Answer:
1. Seat belts stop your tumbling around inside the car if their is a collision. This increases the time taken for the body's momentum to teach zero, and so reduces the force on it.
2. Their is nothing wrong with the assumption, the only thing is that you are not sure if the dash of the car will bring you to a sudden stop or not so you have to use the seat belt.
If a plane is traveling at a velocity of 100 km/hr East, and if the wind velocity is 25 km/hr to the East, then what is the velocity of the plane relative to an
observer on the ground below?
100 km/hr East
75 km/hr West
75 km/hr East
125 km/hr East
Answer:
75 west
Explanation:
I think not sure lucky guess
A car leaves for the trip at 8:07 pm and travels 30 km north on highway 59 and then remembers they forgot
something when they stopped and has to go back 10 km south and then
continues their trip for 80 km north. They arrive at 9:30 for their trip.
Calculate their average speed.
Calculate their average velocity.
\(velocity = \frac{distance}{time} \)
\( \frac{(30 + 10 + 80) \times 1000}{83 \times 60} \)
\( = 0.024m.{s}^{ - 1} \)
Use work and energy to find an expression for the speed
of the block in the following figure just before it hits the
floor.(Figure 1)
Since the kinetic energy is equal to the potential energy then the speed of the object is √2gh.
Work and energyThe term work refers to the product of force and distance moved by force while energy is the ability to do work. The question is incomplete as the figure is not shown.
We know that the kinetic energy is equal to the potential energy hence;
mgh = 1/2mv^2
gh= 1/2v^2
v = √2gh
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A rotor in a blender is rotating at 55.0 rad/s. The chef hits the Low Speed button, causing the rotor to decelerate at -40.7 rad s^2. What is its angular velocity after turning 28.8 rad? (Unit = rad/s) Remember: CCW is +, CW is-. 1 rev = 2 pl rad
26.0898 rad/s is the angular velocity of a rotor in a blender.
Given
Initial velocity (ω₁) = 55.0 rad/s
Deceleration (α) = -40.7 rad/s²
Angle (θ) = 28.8 rad
Final angular velocity (ω₂) =?
According to the angular kinematic equation
ω₂² = ω₁² + 2αθ
Put the values of ω₁, α, and θ in the equation
We get,
ω₂² = (55)² + 2(₋40.7)(28.8)
ω₂² = √680.68
ω₂ = 26.0898 rad/s
Hence, 26.0898 rad/s is the angular velocity of a rotor in a blender after turning 28.8 rad.
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how do i multiply 9.6 by 3/2
Solve the given problem as
\(\begin{gathered} x=9.6\times\frac{3}{2} \\ =9.6\times1.5 \\ =14.4 \end{gathered}\)The temperature inside my refrigerator is about 4 degrees C. If I place a balloon in my fridge that initially has a temperature of 22 degrees C and a volume of 0.5 L, what will be the volume of the balloon when it is fully cooled by my refrigerator?
v
Convert the given temperatures from celsius to kelvin since we are dealing with gas.
To convert to kelvin, add 273.15 to the temperature in celsius.
T1 = 22 + 273.15 = 295.15 k
T2 = 4 + 273.15 = 277.15 k
V1 = 0.5 L
Let's find the final volume (V2).
To solve for V2 apply Charles Law formula below:
\(\frac{V_1}{T_1}=\frac{V_2}{T_2}\)the electrostatic force of attraction between two charged objects is f. what would be the force between the objects if the charge on one object was doubled and the charge on the other object was tripled?
If the charge on one object was doubled and the charge on the other object was tripled then the electrostatic force of attraction between the two charged object will increased by a factor of 6.
The electrostatic force of attraction F between two bodies of charges Q and q is given by the relation,
F = KQq/r²
r is the distance between them.
Now, letter say that the charge on one object was doubled and the charge on the other object was tripled, so, we can write,
Q' = 3Q and q = 2q,
Now, the new force of attraction,
F' = K(3Q)(2q)/r²
Putting F = KQq/r²,
F' = 6F
So, the new force of attraction between the two bodies will be increased by 6 times.
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An __________ is the connection of a freeway to a road or another freeway by a series of ramps.
A. Exit ramp B. acceleration lane C. entry ramp D. interchange
Answer:
The answer is D!
Explanation:
The sentence says it all
Does hydrogen bonding occur in a pure sample of dimethyl ether? Match the items in the left column to the appropriate blanks in the sentences on the right. Reset Help in the same molecule Hydrogen bonding in a pure sample of dimethyl ether. A hydrogen bond is interaction between a hydrogen atom bonded to and an electron-rich occurs does not occur region elsewhere an attractive In the same molecule or in a different molecule in a different molecule a low electronegative atom (like C, B, P) a repulsive a very electronegative atom (O, N. or F)
Hydrogen bonding does not occur in a pure sample of dimethyl ether.
A hydrogen bond is an interaction between a hydrogen atom bonded to an electron-rich region elsewhere in the same molecule or in a different molecule with a very electronegative atom (like O, N, or F), resulting in an attractive force. However, dimethyl ether contains only C and H atoms, which have low electronegativities and cannot participate in hydrogen bonding, resulting in a repulsive force. In dimethyl ether, hydrogen is bonded to a low electronegative atom (like C), which does not allow for hydrogen bonding to take place.
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A cup of coffee with cooling constant k = -0.09 is placed in a room temperature of 18°C. If the coffee is served at 93 °C, how long will it take to reach a drinking temperature of 73 °C?
The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
The cooling law is given by:
$$\frac{dQ}{dt}=-k(T-T_0)$$
where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.
We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.
Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.
Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:
dQ = - dQ where dQ is the heat energy gained by the environment.
We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.
We can rearrange the equation as follows:
$$-\frac{dQ}{dt}=k(T-T_0)$$
$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$
$$\frac{d}{dt}T=-k(T-T_0)$$
The differential equation above can be solved using separation of variables as follows:
$$\frac{d}{dt}\ln(T-T_0)=-k$$
$$\ln(T-T_0)=-kt+c_1$$
$$T-T_0=e^{-kt+c_1}$$
$$T=T_0+Ce^{-kt}$$
where C = e^(c1).
We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.
$$T=T_0+Ce^{-kt}$$
$$73=18+C\cdot e^{-0.09t}$$
$$55=C\cdot e^{-0.09t}$$
$$C=55e^{0.09t}$$
$$T=18+55e^{0.09t}$$
We can now solve for the value of t when T=93 as follows:
$$93=18+55e^{0.09t}$$
$$e^{0.09t}=\frac{93-18}{55}$$
$$e^{0.09t}=1.3636$$
$$t=\frac{\ln(1.3636)}{0.09}$$
Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
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what is the density in g/l of co at 1140 torr and 75.0 °c?
The density of CO at 1140 torr and 75.0°C is 1.44 g/L.
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To find the density of CO at 1140 torr and 75.0°C, we can use the ideal gas law equation:
PV = nRT
Where P is the pressure in torr, V is the volume in liters, n is the number of moles, R is the ideal gas constant (0.08206 L·atm/mol·K), and T is the temperature in Kelvin.
First, we need to convert the pressure from torr to atm:
1140 torr = 1.50 atm
Next, we need to convert the temperature from Celsius to Kelvin:
75.0°C + 273.15 = 348.15 K
Now, we can rearrange the ideal gas law equation to solve for the density:
n/V = P/RT
To find the density, we need to divide the number of moles (n) by the volume (V). We can assume that we have 1 mole of CO, so n = 1.
Substituting the values we have:
1/V = (1.50 atm)/(0.08206 L·atm/mol·K × 348.15 K)
1/V = 0.0516 L/mol
V = 19.36 L/mol
Now we have the volume, but we need to find the density. Density is mass per unit volume, so we need to find the mass of 1 mole of CO. The molar mass of CO is 28.01 g/mol.
Density = (28.01 g/mol) / (19.36 L/mol) = 1.44 g/L
Therefore, the density of CO at 1140 torr and 75.0°C is 1.44 g/L.
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