Answer:
All particles of matter have mass, and they are composed of atoms.
when is an explicit time integration scheme for one-dimensional heat conduction equation with second order spatial discretization unstable?
Integration scheme for one-dimensional heat conduction equation with second order spatial discretization can be unstable if the time step used in the scheme is too large. Specifically, the stability of the scheme depends on the value of the dimensionless Courant-Friedrichs-Lewy (CFL) number, which is given by αΔt/Δx^2, where α is the thermal diffusivity, Δt is the time step, and Δx is the grid spacing.
If CFL number is greater than a certain critical value the scheme will become numerically unstable and the solution will not converge to a physically realistic result. Therefore, when using an explicit time integration scheme for the heat conduction equation, it is important to choose a time step that satisfies the stability criterion.
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2 paged essay on acceleration, speed, time, distance how they’re connected and a sport as an example
In physics, the motion of an object is described by the concepts of acceleration, speed, time, and distance. These ideas are crucial for comprehending and analyzing athletic performance in a sport like track and field.
Define acceleration.
The pace at which an object's velocity changes is known as acceleration. It gauges how rapidly an object alters its direction and speed. Acceleration is essential for sprinters in track and field to get off the starting blocks fast and attain their top speed as soon as feasible. A sprinter with a high rate of acceleration will get off to a faster start and be in a better spot on the track.
Contrarily, speed is the rate at which an object travels a predetermined distance. In track and field, competitors must cross the distance as quickly as possible in events like the 100-meter dash and the 400-meter relay. Time is a crucial element in calculating an object's speed and range. An object's speed directly relates to how long it takes it to travel a certain distance. Timing is essential for athletes to compete against one other and set personal records in track and field.
Distance is a unit of measurement for the separation between two places. Distance is a crucial component in track and field because it allows competitors to cover as much territory as possible in events like the long jump.
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If a neighbor pushes a lawnmower four times
exerts only half the force, which one of you
as far as you do but
does more work and by
how much?
It is quite easy.
Say that the work you did was w, so that the force you exert is F.
Furthermore, the displacement is s.
How can you explain this situation?AT THIS TIME
the work you(w)=Fs
Now, AT YOUR NEIGHBOR'S CASE.
Let his work be credited as W
IF, then force is half, or F/2.
with five times the displacement.
therefore, work done (W)=F/2*5s
hence, W=2.5Fs
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? switching is a technique to control general light levels by switching individual lamps or groups of lamps in a multi-lamp fixture separately.
Switching is a technique commonly used to control general light levels in buildings.
It involves the use of individual switches to control the lamps or groups of lamps within a multi-lamp fixture separately. This enables the user to control the amount of light produced in different areas of a room or building according to their needs. Switching can be done manually or automatically, using various technologies such as timers, motion sensors, and light sensors. It offers a simple and cost-effective way to improve energy efficiency and reduce energy consumption, as well as to create more comfortable and flexible lighting environments that meet the specific needs of different users. Switching is a technique commonly used to control general light levels in buildings.
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A space alien named Zorg is working hard. In fact, as time goes by, Zorg works harder and
harder: Zorg's power output depends on time as P= b3 where b is a constant coefficient.
How much work will Zorg be able to perform between t = 0 and t = T?
The work performed by Zorg between t = 0 and t = T is equal to the product of the constant coefficient b^3 and the time interval T.
How did we get the value?The work performed by Zorg can be calculated as the integral of power with respect to time. If Zorg's power output is given by P = b^3, then the work performed by Zorg between time t = 0 and t = T can be calculated as:
W = ∫_0^T P(t) dt = ∫_0^T b^3 dt = b^3 * t |_0^T = b^3 * T
So, the work performed by Zorg between t = 0 and t = T is equal to the product of the constant coefficient b^3 and the time interval T.
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A brass rod is 2m long at a certain temperature.Calculate the linear expansion of the rod for a temperature change of 100K (Take the linear expansivity of brass as 1.8 x 10^-5K^-1)
Answer:
To calculate the linear expansion of a brass rod due to a temperature change of 100K, we can use the formula:
ΔL = α * L * ΔT
where:
α = linear expansivity of brass (1.8 x 10^-5K^-1)
L = original length of the rod (2m)
ΔT = change in temperature (100K)
Plugging in the values:
ΔL = 1.8 x 10^-5K^-1 * 2m * 100K = 0.036m
So the linear expansion of the brass rod due to a temperature change of 100K is 0.036 meters.
A car speeds up from 13. 5 m/s to 34. 4 m/s in 4. 8 seconds. What is the average speed during this time? round your answer to 2 decimal places
The average speed during the acceleration is 23.95 m/s.
The average speed of the car during the time it takes to accelerate can be calculated as the average of the initial and final speeds.
Speed is equal to the total distance covered by the car divided by the time required to cover the distance.
As per the given information,
The initial speed of the car is 13.5 m/s, and
the final speed is 34.4 m/s.
Therefore, the average speed can be calculated as:
Average speed = (initial speed + final speed) / 2
Average speed = (13.5 m/s + 34.4 m/s) / 2
Average speed = 23.95 m/s
Rounding to two decimal places, the average speed during the acceleration is 23.95 m/s.
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a). Show that the average speed of Leslie is 10 km/h when she runs to the store 5 km away in 30 min.
(b) How fast is this in m/s?
6. (a) Calculate the acceleration for a ball that starts from rest and rolls down a ramp and gains a speed of 30 m/s in 4 s.
(b) What would acceleration be if the ball rolls at 60 m/s?
Acceleration is a physical quantity that describes the rate of change in velocity of an object over time. It is a vector quantity, which means it has both magnitude and direction, and is measured in units of meters per second squared (m/s²).
Describe Acceleration
When an object is accelerating, its velocity is changing, either by increasing or decreasing in speed or changing direction. The magnitude of the acceleration depends on the force applied to the object, which can come from a variety of sources such as gravity, friction, or electromagnetism.
The formula for acceleration is:
a = (v2 - v1) / t
where a is the acceleration, v2 is the final velocity, v1 is the initial velocity, and t is the time it takes to go from v1 to v2.
If an object is moving in a straight line with a constant acceleration, its velocity can be calculated by the following equation:
v = v0 + at
where v is the final velocity, v0 is the initial velocity, a is the acceleration, and t is the time.
Acceleration is a fundamental concept in physics and is used to describe the motion of objects in a wide variety of situations, including free-fall, projectile motion, circular motion, and the behavior of fluids. It is also essential in engineering and design, where it is used to calculate the performance and efficiency of machines and vehicles.
(a) To find the average speed of Leslie, we can use the formula:
average speed = total distance / total time
Leslie runs to the store 5 km away in 30 minutes (0.5 hours), so the total distance is 5 km and the total time is 0.5 hours.
average speed = 5 km / 0.5 hours = 10 km/h
Therefore, the average speed of Leslie is 10 km/h when she runs to the store 5 km away in 30 minutes.
(b) To convert km/h to m/s, we can use the conversion factor:
1 km/h = 0.2778 m/s
So, the speed of Leslie in m/s is:
10 km/h × 0.2778 m/s/km/h = 2.78 m/s
Therefore, Leslie's speed is 2.78 m/s.
(a) To calculate the acceleration of the ball, we can use the formula:
acceleration = (final velocity - initial velocity) / time
The ball starts from rest, so the initial velocity is 0 m/s. After 4 seconds, it gains a speed of 30 m/s.
acceleration = (30 m/s - 0 m/s) / 4 s = 7.5 m/s²
Therefore, the acceleration of the ball is 7.5 m/s².
(b) If the ball rolls at 60 m/s, we can use the same formula to find the acceleration:
acceleration = (60 m/s - 0 m/s) / 4 s = 15 m/s²
Therefore, the acceleration of the ball would be 15 m/s² if it rolls at 60 m/s.
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Suppose you have two metal cubes, one made of iron and one made of aluminum. You transfer the same amount of heat Q to each of them. Which cube will have the higher final temperature, given they have the same masses and initialtemperatures? a. Iron Cube b. Aluminum Cube
If the same amount of heat Q is applied to each cube, the aluminum cube will have a greater end temperature than the iron cube.
The average thermal energy of the particles in a system is measured by temperature. It is a scalar number that represents the amount of heat energy present in a substance and is usually expressed in degrees Celsius (°C), Kelvin (K), or Fahrenheit (°F). The kinetic energy of the particles in a system, which is the energy associated with their motion, is proportional to temperature. When a system's temperature rises, so does the kinetic energy of its particles, resulting in quicker and more chaotic motion. In contrast, when the temperature drops, the The particles' kinetic energy reduces, resulting in slower and less chaotic motion.
Here, The eventual temperature of the two cubes will be determined by their respective heat capacities. The quantity of heat energy required to raise the temperature of a unit of mass of a material by one degree Celsius is defined as its specific heat capacity.
Aluminum has a greater specific heat capacity than iron, which means it takes more heat energy to increase its temperature by the same amount.
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the nearest star is at a distance of 4.4 light-years. given that light travels at 300,000 km/s in space, how far away is the nearest star in kilometers (km)? (1 year
The nearest star is approximately 40.1 trillion kilometers away from us.
The nearest star is located 4.4 light-years away from us. Since one light-year is defined as the distance that light travels in one year and light travels at a speed of 300,000 km/s.
we can calculate the distance to the nearest star in kilometers by multiplying the speed of light by the number of seconds in a year and then multiplying by 4.4:
Distance to nearest star = 300,000 km/s * 60 seconds/minute * 60 minutes/hour * 24 hours/day * 365 days/year * 4.4 years
= 40,152,000,000,000 kilometers
Therefore, the nearest star is approximately 40.1 trillion kilometers away from us.
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In terms of environmental impact, what’s the difference between natural gas, coal, and biomass? Consider both carbon dioxide (CO2) emissions and acid rain
In terms of producing the most energy per unit of carbon dioxide released, natural gas is the best fossil fuel. Because a new crop can be planted after each harvest, biomass is a renewable resource and a low-carbon fuel.
Effects of human activities on the biophysical environment, or environmental challenges, most frequently include. Numerous human activities such as overpopulation, pollution, the burning of fossil fuels, and deforestation have an adverse effect on the physical environment. Climate change, soil erosion, poor air quality, and undrinkable water have all been brought on by changes like these.
There are three main ones that generally have an impact on most of them: the loss of biodiversity, water pollution, ocean acidification, and climate change
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Sam ran a 2000-meter race. He started at 9:00 AM and finished at 9:05 AM.
He started out fast but slowed down toward the end. Calculate Sam’s
average speed during the race.
Answer: Approximately 6.67 meters per second.
Explanation:
Speed is a quantity measured in meters per second, so because the elapsed time is 5 minutes, let's turn it into seconds. 5 minutes multiplied by 60 seconds is 300 seconds.
2000 meters divided by 300 seconds is about 6.67 meters per second, which is the speed.
The distance from Earth to the Moon is 2.389 x 105 mi. Convert this distance to standard form.
Answer:
0.0227528381
Explanation:
2.389/105
