what 2 things keep windows from shattering?
video- Mechanical Universe: Resonance
Two things that keep windows from shattering are the strength of the glass and the ability of the window frame to dampen vibrations.
What is the shattering of windows?The strength of the glass is important because it determines how much force the glass can withstand before it breaks. Modern windows are typically made of tempered glass, which is treated with heat to make it stronger and more resistant to shattering.
The ability of the window frame to dampen vibrations is also crucial because glass is prone to resonance, which is a phenomenon that occurs when an object is subjected to vibration at its natural frequency.
If the frequency of the vibration matches the natural frequency of the glass, the glass can begin to vibrate and eventually shatter. To prevent this, window frames are designed to be sturdy and to dampen vibrations, which helps to prevent the glass from vibrating and shattering.
In summary, both the strength of the glass and the ability of the window frame to dampen vibrations are important factors that help to prevent windows from shattering.
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Making progress by conducting studies for research, project or article and presenting these progress to scientists.
Which category does this belong to? :
A. Science
B. Technology
C. Reading
D. Engineering
Sorry I didn't know which Subject to pick.
Making progress by conducting studies for research, project or article and presenting this progress to scientists represent a category that belongs to Science (Option A).
What is the meaning of science?Sciences can be defined as a body of empirical knowledge whose development is based on the presentation of results from experiments in peer-reviewed publications and the generation of projects to investigate different issues of the real world.
Therefore, we can conclude that Science is a body of info based on the transference of knowledge which involves developing projects or writing scientific articles (Option A).
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24. A total of 165 J of work is done on a gaseous refrigerant as it undergoes compression. If the internal energy of the gas increases by 123 J during the process, what is the total amount of energy transferred as heat
The total amount of energy transferred as heat is equal to 288 Joules.
Given the following data:
Internal energy = 123 Joules Work done = 165 JoulesTo calculate the total amount of energy transferred as heat, we would apply the first law of thermodynamics.
The first law of thermodynamics.Mathematically, the first law of thermodynamics is given by the formula:
\(\Delta E = Q - W\)
Where;
\(\Delta E\) is the change in internal energy.Q is the quantity of heat transferred.W is the work done.Substituting the given parameters into the formula, we have;
\(123 = Q - 165\\\\Q=123+165\)
Q = 288 Joules.
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What is true of the bottom layer of the ocean
Answer:
well i tough it was infinte but its not an the layer is a d i c k
Explanation:
When a psychologist wants to conduct a research study, the study design will be reviewed for ethical standards before a(n) __________. A. College exam board b. Institutional review board c. Experiment submission board d. Alimentary consideration board please select the best answer from the choices provided a b c d.
Answer:
The best answer is b. Institutional review board.
Psychologists are required to adhere to ethical guidelines when conducting research involving human participants. Before beginning their research study, they must have their study design reviewed and approved by an Institutional Review Board (IRB) to ensure that the study meets ethical standards and that the rights and welfare of the participants are protected. The IRB is an independent committee of experts that reviews and monitors research involving human participants.
Explanation:
Answer: B is correct
Explanation:
Which graph shows the change in velocity of an object in free fall?
Answer:
The graph of the velocity of an object in free fall would look like a straight line sloping downward. As the object falls, its velocity increases at a constant rate, so the graph of its velocity versus time will be a straight line with a negative slope. This is because acceleration due to gravity is a constant -9.8 meters per second squared, so the velocity of a free-falling object will increase by 9.8 meters per second every second.
Therefore, the graph that shows the change in velocity of an object in free fall is a straight line with a negative slope. Here is an example of such a graph:
Free Fall Velocity Graph
Which of the following can be studied by science?
O A. Value judgments
O B. Matters of opinion
O C. Questions of right and wrong
O D. Natural phenomena.
A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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You are piloting a small airplane in which you want to reach a destination that is 750 km due north of your starting location. Once you are airborne, you find that (due to a strong but steady wind) to maintain a northerly course you must point the nose of the plane at an angle of 22 west of true north. From previous flights on this route in the absence of wind, you know that it takes you 3.14 h to make the journey. With the wind blowing, you find that it takes 4.32 h. A fellow pilot calls to ask you about the wind velocity (magnitude and direction). What is your report? FYI so you can check yourself the answers are 101 km/h at 62 degrees east of south.
Answer:
v_wind = 101.46 km / h , θ = 61.8
Explanation:
This is a velocity composition exercise.
Let's do the problem in parts. Let's start by knowing the speed of the plane without air.
v = d / t
v = 750 / 3.14
v = 238.85 km / h
This is the speed of the plane relative to the Earth and it does not change.
In the second part, when there is wind, the travel time is greater than when there is no wind, therefore the wind delays the plane. To be more general, suppose that the wind has two components vₓ and \(v_{y}\)
Let's use trigonometry to find the components of the plane's speed
cos θ = v_N / v
sin θ = v_W / v
v_N = v cos θ
v_W = v sin θ
let's calculate
V _N = 238.85 cos 22 = 221.46 km / h
v_W = -238.85 sin 22 = -89.47
the negative sign is because the plane is going west and the positive sign is the east direction.
As it indicates that the destination of the avine is towards the north, the x component of the wind must be
vₓ - v_W = 0
vₓ = v-w
vₓ = 89.47 km / h
in the direction to the East.
Now let's analyze the component of the wind in the Nort-South direction,
Indicate the travel time, let's calculate the speed that the component must have the speed of the plane
v_total = d / t
v_total = 750 / 4.32
v_total = 173.61 km / h
This is the final speed of the plane, which can be written
v_total = v_n - vy
vy = v_n - v_total
vy = 221.46 - 173.61
vy = 47.85 km
this component is directed towards the south
Let's use the Pythagorean Theorem, to find the magnitude
v_wind² = vₓ² + vy²
v_wind = √ (89.47² + 47.85²)
v_wind = 101.46 km / h
the address will then be found using trigonometry
θ = Vy / vx
θ = tan⁻¹ (vy / vx)
θ = tan⁻¹1 (47.85 / 89.47)
θ = 28.14
Therefore, the magnitude of the wind speed is 101.5 km / h and its direction is 28º south of the East, to give this value
90- θtea = 90- 28.2
θ = 61.8
East of South
Which is a way to improve self esteem?
O being around negative people
O positive talk
O being hard on ones self
o being a perfectionist
Answer: Positive Talk
Explanation:
When does a force do maximum work
Answer:
when the angle between the displacement and direction of force is zero
Answer:
Only when the force is applied in the same direction as the displacement of the object on which it acts, it does maximum work. This is because the work done by a force is given by the dot product of the force and displacement vectors. The dot product of two vectors is maximum when they are parallel to each other. Therefore, when a force is applied in the direction of displacement, it does maximum work.
When a force is applied perpendicular to the displacement, it does no work at all. This is because the dot product of two perpendicular vectors is zero. When a force is applied at an angle to the displacement, it does some work but not maximum.
It's important to note that the amount of work done by a force also depends on its magnitude and the distance over which it acts. The greater the magnitude of the force and the longer the distance over which it acts, the more work it will do.
In summary, a force does maximum work only when it is applied in the same direction as the displacement of the object on which it acts.
The dimension of a rectangular shape is 5.9 by 4.1mm s measured with a veneer calliper whose minimum scale is 0.05 mm. The percentage error in its surface area is approximately.
Answer:
e% = 2.2%
Explanation:
In the measurements it is very important the precision of the readings and the knowledge of how the uncertainty or errors in each measurement propagates when carrying out the different calculations
In this case the area of the body is its length l = 5.9 mm, for its width a = 4.1 mm
S = l a
The error can be calculated using derivatives and considered the worst of all cases
Δs = ds /dl Δl + dS /da Δa
in this case the derivatives are very simple
dS / dl = a
dS / Da = l
we substitute
ΔS = a Δl + l Δa
this is the absolute error
Let's calculate its value
Δs = 4.1 0.05 + 5.1 0.05
Δs = 0.5 mm²
the percentage error is this error between the magnitude of the mediated by 100
e% = ΔS / S 100
e% = 0.5 / (5.1 4.1) 100
e% = 2.2%
A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.1 m3/min, how fast (in m/min) is the water level rising when the water is 10 cm deep
Answer:
0.238 m/min
Explanation:
The volume of water in the trough V =Ah' where A = area of cross-section = area of isosceles trapezoid = 1/2(a + b)h where a = length of bottom of isosceles trapezoid = 40 cm = 0.4 m, b = length of top of isosceles trapezoid = 100 cm = 1 m and h = height of isosceles trapezoid = 60 cm = 0.6 m. So,
A = 1/2(a + b)h = 1/2(0.4 m + 1 m)0.6 m = (1.4 m)0.3 m = 0.42 m² and h' = height of water level in trough = H - h" where H = length of trough = 10 m and h" = depth of water level in trough = 10 cm = 0.1 m
So, V = Ah'
V = A(H - h") = A(10 - h")
Now, the rate of change of volume of the trough with respect to time dV/dt = d[A(10 - h")]/dt
dV/dt = -Adh"/dt
dh"/dt = -dV/dt/A
Since dV/dt = 0.1 m³/min, substituting the other variables into the equation, we have
dh"/dt = -dV/dt/A
dh"/dt = -0.1 m³/min/0.42 m²
dh"/dt = -0.238 m/min
This is the rate at which the depth is decreasing
Since the height h' = 10 - h"
dh'/dt = d(10 - h")/dt
= -dh"/dt
= -(-0.238 m/min)
= 0.238 m/min
So the water level is increasing at a rate of 0.238 m/min
A ball is launched from the surface of a planet. Air resistance and other frictional forces are neglected. The graph shows the position of the ball every 0.20 s.
a. Use this graph to determine:
I. The components of the initial velocity of the ball
II. The angle to the horizontal the ball was launched at
III. The acceleration of free fall on this planet.
b. Make a copy of the graph and draw two arrows to represent the velocity and the acceleration vectors of the ball at t = 1.0 s.
c. The ball is now launched under identical conditions from the surface of a different planet where the acceleration due to gravity is twice as large. Draw the path of the ball on your graph.
The angle to the horizontal the ball was launched at can be determined using trigonometry. Once you have the initial horizontal and vertical velocities, you can use the tangent function to calculate the launch angle.
What are the velocities ?Velocity is a physical quantity that describes the rate at which an object changes its position. It is a vector quantity, which means it has both magnitude and direction. The magnitude of velocity is the speed of the object, while its direction is the direction of motion.
What is time ?Time is a concept that refers to the sequence of events that occur in a continuous progression, from the past, through the present, and into the future. It is a way to measure the duration or the length of events or periods, and it is a fundamental aspect of our experience and understanding of the world.
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A 2.0 g metal cube and a 4.0 g metal cube are 6.0 cm apart, measured between their centers, on a horizontal surface. For both, the coefficient of static friction is 0.65. Both cubes, initially neutral, are charged at a rate of 7.0 nC/s .
(a) Which cube moves first?
(b) How long after charging begins does one cube begin to slide away?
Draw a Sketch of the Problem and Create a "Parameter Panel" for the Problem.
Cube moves first, that the cube which is neutral in nature. Hence, the cube which is neutral will move.
To solve this problem, we need to calculate the electrostatic force between the two charged cubes and compare it with the force of static friction between the cubes and the surface. The cube with the smaller force of friction will begin to move first. The parameter panel and sketch of the problem are shown below:
Parameter Panel:
Mass of cube 1 (m1) = 2.0 g = 0.002 kg
Mass of cube 2 (m2) = 4.0 g = 0.004 kg
Distance between the centers of the cubes (d) = 6.0 cm = 0.06 m
Charge rate of each cube (q) = 7.0 nC/s
Coefficient of static friction (μ) = 0.65
Sketch:
|-----------| |-----------|
| 2 | | 1 |
|-----------| |-----------|
| |
d=6.0 cm d=6.0 cm
| |
|-----------------|
(a) To determine which cube moves first, we need to calculate the electrostatic force between the charged cubes and compare it with the force of static friction between the cubes and the surface. The electrostatic force between two charged objects is given by Coulomb's law:
F = (k * q1 * q2) / d^2
where k is the Coulomb constant (9.0 x 10^9 N m^2/C^2), q1 and q2 are the charges on the cubes, and d is the distance between them. For each cube, the charge is increasing at a rate of 7.0 nC/s, so the charge at any time t is given by:
q = 7.0 x 10^-9 C/s * t
At t = 0, the cubes are neutral and have no charge. At some later time t, the charges on the cubes are:
q1 = 7.0 x 10^-9 C/s * t
q2 = 7.0 x 10^-9 C/s * t
The electrostatic force between the cubes is then:
F = (9.0 x 10^9 N m^2/C^2) * (q1 * q2) / d^2
= (9.0 x 10^9 N m^2/C^2) * [(7.0 x 10^-9 C/s * t)^2 / (0.06 m)^2]
The force of static friction between each cube and the surface is:
Ff = μ * N
= μ * m * g
where N is the normal force, m is the mass of the cube, μ is the coefficient of static friction, and g is the acceleration due to gravity (9.81 m/s^2).
The normal force N is the force exerted by the surface on the cube, and is equal in magnitude to the weight of the cube:
N = m * g
Plugging in the values for each cube, we get:
Ff1 = μ * m1 * g
= 0.65 * 0.002 kg * 9.81 m/s^2
= 0.0127 N
Ff2 = μ * m2 * g
= 0.65 * 0.004 kg * 9.81 m/s^2
= 0.0254 N
Comparing the electrostatic force between the cubes and the force of static friction, we find:
F - Ff1 = (9.0 x 10^9 N)
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What is the vibrating source that creates sound waves?
Answer:
Sound is produced when an object vibrates, creating a pressure wave. This pressure wave causes particles in the surrounding medium (air, water, or solid) to have vibrational motion. As the particles vibrate, they move nearby particles, transmitting the sound further through the medium.
IS BMI = Hight /Weight?
Yes or no ?
Answer:
Yes,BMI is a simple indicator of weight for height and can't differentiate between muscle mass and fat mass. So BMI tends to overestimate the health risk for adults with a high muscle mass, such as some athletes, and underestimate the risk for adults with a low muscle mass, as can occur with sedentary lifestyles.
Explanation:
Hope it is helpful...
Star A has a magnitude of 1.0 and is 60 times brighter than B. What is magnitude of B?
Answer:
The magnitude scale used in astronomy is logarithmic, meaning that each increase in magnitude represents a decrease in brightness by a factor of approximately 2.512. Therefore, if Star A has a magnitude of 1.0 and is 60 times brighter than Star B, we can calculate the magnitude of Star B as follows:
Brightness ratio = 2.512^(magnitude difference)
60 = 2.512^(magnitude of A - magnitude of B)
Taking the logarithm base 2.512 of both sides:
log base 2.512(60) = magnitude of A - magnitude of B
Solving for the magnitude of B:
magnitude of B = magnitude of A - log base 2.512(60)
magnitude of B = 1.0 - log base 2.512(60)
Calculating the value:
magnitude of B ≈ 1.0 - 2.799
magnitude of B ≈ -1.799
Therefore, the magnitude of Star B is approximately -1.799.
Explanation:
Using the magnitude equation, we deduced that given star A has a magnitude of 1.0 and is 60 times brighter than star B, the magnitude of star B comes out to be approximately 4.4. This computation confirms that the larger the magnitude, the fainter the star.
Explanation:To find the magnitude of star B given that star A is 60 times brighter, we first need to understand the concept of magnitude in astronomy. In general, in the magnitude system, each difference of 1 in magnitude corresponds to a difference in brightness by a factor of about 2.512 (which is the fifth root of 100). This is represented in the equation m2 = m1 - 2.5 log(b2/b1), where m1 and m2 are the magnitudes of the two stars, and b1 and b2 are their brightness levels.
Given that star A has a magnitude of 1.0 (m1) and is 60 times brighter than star B (b2/b1), we can plug these values into the equation to get m2 = 1.0 - 2.5 log(1/60). Solving this equation, star B's magnitude comes out to be approximately 4.4. Hence, it is evident from this calculation that a larger magnitude signifies a fainter star, which aligns with the core concept of the magnitude scale in astronomy.
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8. All nuclear power plants have backup generators in case the plant stops producing electricity. Why is this necessary? What exactly are the generators providing power for? What might happen if these backup generators fail?
Nuclear power plants have backup generators to ensure that essential equipment, such as cooling systems, can continue to function in the event of a power outage or other emergency.
Nuclear power plants rely on a constant supply of electricity to operate the equipment that controls the nuclear reaction and cools the reactor. If the power supply is interrupted, the reactor can overheat and damage can occur. Backup generators provide power to essential equipment, such as cooling systems, that keep the reactor and spent fuel pools from overheating. If the backup generators fail, there is a risk of a nuclear accident, as was seen in the disaster in 2011, where the failure of backup generators led to a loss of cooling and a major nuclear incident.
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During the Apollo lunar explorations of the late 1960 s and early 1970 s, the main section of the spaceship remained in orbit about the Moon with one astronaut in it while the other two astronauts descended to the surface in the landing module. If the main section orbited about 50mi50mi above the lunar surface, determine that section's centripetal acceleration.
As a result, the centripetal acceleration of the spaceship's main part throughout its orbit around the Moon was 0.00256 m/s².
What is acceleration?In mechanics, acceleration is defined as the rate of change of an object's velocity with respect to time. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.
Here,
The centripetal acceleration of an object in orbit can be calculated using the formula:
a = (v²) / r
where a is the centripetal acceleration, v is the velocity of the object in orbit, and r is the radius of the orbit.
Since the main section of the spaceship orbited 50 miles above the lunar surface, r = 50 miles = 80,467.2 meters.
To find the velocity, we can use the relationship between the velocity and the gravitational field strength of a planet, given by:
v = (GM / r)¹/²
where G is the gravitational constant (6.67 x 10⁻¹¹ N*(m/kg)²), M is the mass of the Moon (7.34 x 10²² kg), and r is the radius of the orbit (50 miles = 80,467.2 meters).
Plugging in the values, we get:
v = (6.67 x 10⁻¹¹ N*(m/kg)² * 7.34 x 10^22 kg / 80,467.2 m)¹/²
v = 1,706.3 m/s
Finally, plugging in the values for v and r into the formula for centripetal acceleration, we get:
a = (v^²) / r
a = (1,706.3 m/s)² / 80,467.2 m
a = 0.00256 m/s²
So, the centripetal acceleration of the main section of the spaceship during its orbit about the Moon was 0.00256 m/s².
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From shortest to longest wavelength, which of the following correctly orders the different categories of electromagnetic radiation?
A.gamma rays, X rays, ultraviolet, visible light, infrared, radio
B. infrared, visible light, ultraviolet, X rays, gamma rays, radio
C. gamma rays, X rays, visible light, ultraviolet, infrared, radio
D. radio, infrared, visible light, ultraviolet, X rays, gamma rays
The following correctly orders the different categories of electromagnetic radiation; Radio, infrared, visible light, ultraviolet, X rays, gamma rays.
What is the ultraviolet?Ultraviolet (UV) radiation is a type of electromagnetic radiation emitted from the sun. It is a form of energy that is invisible to the human eye, but it can cause damage to living organisms. UV radiation is divided into three categories: UVA, UVB, and UVC. UVA radiation has the longest wavelength and is the least hazardous form of UV radiation. UVB radiation has a shorter wavelength and is more dangerous. UVC radiation has the shortest wavelength and is the most dangerous form of UV radiation. Exposure to UV radiation can cause sunburns, premature skin aging, and an increased risk of skin cancer.
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A 0.018 kg marble sliding to the right at 0.42 m/s on a frictionless surface makes a elastic head-on collision with a 0.018 kg marble moving to the left at 0.32 m/s. After the collision, the first marble moves to the left at 0.27 m/s. What is the velocity of the second marble after the collision?A 0.018 kg marble sliding to the right at 0.42 m/s on a frictionless surface makes a elastic head-on collision with a 0.018 kg marble moving to the left at 0.32 m/s. After the collision, the first marble moves to the left at 0.27 m/s. What is the velocity of the second marble after the collision?
The velocity of the second marble after the collision is 0.47 m/s
According to conservation of linear momentum
The law of conservation of momentum states that in an isolated system the total momentum of two or more bodies acting upon each other remains constant unless an external force is applied. Therefore, momentum can neither be created nor destroyed
M1u1 + M2u2 = M1v1 + M2v2
0.018 x 0.42 + 0.018 x 0.32 = 0.018 x 0.27 m/s + 0.018 x v2
0.00756 + 0.00576 = 0.00486 + 0.018 x v2
0.01332 = 0.00486 + 0.018 x v2
0.00846/0.018 = v2
v2 = 0.47 m/s
Hence, velocity of the second marble after the collision is 0.47 m/s
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Electromagnetic induction occurs when
a.
b.
a conductor is moved through a magnetic
a magnet is connected to an electrical circ
electrons are rubbed from one object onto
electrons flow from one chemical to anoth
C.
d.
your hd
Answer:
A
Explanation:
occurs when a magnetic feild and an elctric conductor move relative to one another
calculate the mass of a block of ice having volume 5m³. (density of ice≈920 kg/m³)
Answer:
4600 Kg/m³
Explanation:
Volume of block=5m³
Mass of block= 920 kg/m³
Density=mass × volume
=920 × 5³
=4600 /m³
The density of ice is 4600 Kg/m³
___________________________________
(Hope this helps can I pls have brainlist (crown)☺️)
Explanation:
Solution:
Here
volume=5
Density=920
Density =Mass/Volume
or,Mass=Density*Volume
or,M=920*5
so,M=4600kg
A candle is sitting in front of a concave mirror at a distance of 18.0 cm. It is found that an image of the ca
25.0 cm. What is the focal length of the mirror?
03.52 cm
07.50 cm
O 10.4 cm
022.1 cm
Answer:
The focal length of the mirror is 10.4 cm.
Explanation:
The object distance ( d₀ ) ( distance of the candle from the mirror) is -18 cm.The Image distance ( dᵢ ) ( distance of the image from the mirror) is -25.0 cm.The mirror equation is 1/f = 1/d₀ + 1/dᵢ.So substitute the values of object distance and image distance in the mirror equation,
1/f = 1/(-18cm) + 1/(-25.0cm)
1/f = -25cm/(-18cm x -25cm) - 18cm/(-18cm x 25cm)
1/f = ( -25cm - 18cm)/(18cm x 25cm)
1/f = -43.0/450.0
f = -10.4651 cm.
The focal length of the mirror is approximately -10.4 cm.
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what is the work of a fuse in a socket
Answer:
The fuse in a plug is a safety device designed to protect the lead rather than the appliance. It is a deliberate weak link in a circuit which will 'blow' if an electrical appliance or extension lead draws too much current due to either an overload or a fault.
why is interpretation an important part of meteorology
Strong interpretation is an important thing in meteorology. Because, analyzing the climate level in each area and the factors affecting it with their visual representation is very important in weather forecast.
What is meteorology ?Meteorology is a branch of science dealing with the weather in different regions. On interpreting data, forecasters are tasked with synthesizing available observations from multiple platforms (including surface observations, weather balloons, radar, and satellite), numerical guidance from computer model forecasts, scientific theory, and experience-based intuition to arrive at a forecast.
The forecast process is often collaborative, with teams of meteorologists routinely integrating new information into the forecast as the event approaches.
Increasingly, forecasters are also responsible for effectively communicating the forecast and its anticipated impacts upon life and property to various stakeholders, including the public.
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The velocity time graph of an object mass 50 g is shown in figure study graph and answer
1)calculate force acting on object in time interval 0-3 seconds
2)calculate the force acting on the object in the time interval 6-10 seconds
3)Is there any time interval in which no force acts on object.Justify
1) The force acting on the object during the time interval 0-3 seconds is 1/3 N.
2) The force acting on the object during the time interval 6-10 seconds is -0.5 N.
3) There is no time interval in which no force acts on the object.
(i) Force acting on the object in time interval 0-3 seconds. Force acting on the object is equal to the product of its mass and acceleration, i.e.,F = ma.
In the given velocity-time graph, the acceleration of the object can be determined by determining the slope of the velocity-time graph from 0 to 3 seconds.
Slope = (change in velocity) / (change in time)= (20-0) / (3-0) = 20/3 m/s^2
Acceleration, a = slope= 20/3 m/s^2
Mass of the object, m = 50 g = 0.05 kg
∴ Force acting on the object, F = ma= 0.05 × 20/3= 1/3 N.
Therefore, the force acting on the object during the time interval 0-3 seconds is 1/3 N.
(ii) Force acting on the object in time interval 6-10 seconds. Similar to the first question, the force acting on the object in time interval 6-10 seconds can be determined by determining the acceleration of the object during this time interval.
The slope of the velocity-time graph from 6 seconds to 10 seconds can be determined as follows:
Slope = (change in velocity) / (change in time)= (-20-20) / (10-6) = -40/4= -10 m/s^2 (negative sign indicates that the object is decelerating)
Mass of the object, m = 50 g = 0.05 kg
∴ Force acting on the object, F = ma= 0.05 × (-10)= -0.5 N.
Therefore, the force acting on the object during the time interval 6-10 seconds is -0.5 N.
(iii) Time interval in which no force acts on the object. There is no time interval in which no force acts on the object. This is because, as per Newton's first law of motion, an object will continue to remain in a state of rest or uniform motion along a straight line unless acted upon by an external unbalanced force.In other words, if the object is moving with a constant velocity, there must be a force acting on the object to maintain its motion.
Therefore, there is no time interval in which no force acts on the object.
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A car accelerates to a speed of 55 m/s within the span of 8 seconds. If its acceleration
was 4 m/s2, what was its initial velocity? Show all work and units for full credit.
The initial velocity of a car that accelerates to a speed of 55 m/s within the span of 8 seconds is 23m/s.
How to calculate initial velocity?The initial velocity of a moving body can be calculated using the following formula:
a = v - u/t
Where;
a = acceleration (m/s²)v = final velocity (m/s)u = initial velocity (m/s?t = time (seconds)According to this question, a car accelerates to a speed of 55 m/s within the span of 8 seconds. If its acceleration was 4 m/s², the initial velocity is calculated as follows:
4 = 55 - u/8
32 = 55 - u
u = 55 - 32
u = 23m/s
Therefore, the initial velocity of a car that accelerates to a speed of 55 m/s within the span of 8 seconds is 23m/s.
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29. Using a scale of 1 centimeter = 1 newton, represent the following displacement vecto
(a) 5 newtons west
(b) 3 newtons, 270°
(c) 4 newtons, 0°
A box is accelerated to the left horizontally across a floor Draw a free-hody diaoram
3.0
Using a scale of 1 centimeter = 1 newton, the following displacement vector is
(a) 5 newtons west 5 centimeter.
(b) 3 newtons, 270° 3 centimeter.
(c) 4 newtons, 0°, 4 centimeter.
The International System of Units (SI) uses the centimetre (cm) as a measure of length. It is a handy unit for measuring short distances because its definition is one tenth of a metre. 0.01 metres or 0.3937 inches make up one centimetre.
In the SI system, a newton (N) is a unit of force. It is described as the amount of pressure necessary to accelerate a mass of one kilogramme at a speed of one metre per second squared (m/s2). The force required to accelerate a mass of one kilogramme by one metre per second squared is comparable to one newton, in other words.
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