Answer:
The speed and height at 0 sec are 20 m/s and 0 m.
The speed and height at 1 sec are 10.2 m/s and 15.1 m.
The speed and height at 2 sec are 0.4 m/s and 20.4 m.
The speed and height at 3 sec are 9.4 m/s and 15.9 m.
The speed and height at 4 sec are 19.2 m/s and 1.6 m.
Explanation:
Given that,
Initial speed = 20 m/s
Suppose, given time in charge are t= 0, 1, 2, 3, 4 sec
At t=0 sec,
We need to calculate the velocity and height
Using equation of motion
\(v=u-gt\)
Put the value into the formula
\(v=20-9.8\times0\)
\(v=20\ m/s\)
Now, using second equation of motion
\(h=ut-\dfrac{1}{2}gt^2\)
Put the value into the formula
\(h=20\times 0-\dfrac{1}{2}\times9.8\times0\)
\(h=0\ m\)
At t=1 sec,
We need to calculate the velocity and height
Using equation of motion
\(v=u-gt\)
Put the value into the formula
\(v=20-9.8\times1\)
\(v=10.2\ m/s\)
Now, using second equation of motion
\(h=ut-\dfrac{1}{2}gt^2\)
Put the value into the formula
\(h=20\times1-\dfrac{1}{2}\times9.8\times1^2\)
\(h=15.1\ m\)
At t=2 sec,
We need to calculate the velocity and height
Using equation of motion
\(v=u-gt\)
Put the value into the formula
\(v=20-9.8\times2\)
\(v=0.4\ m/s\)
Now, using second equation of motion
\(h=ut-\dfrac{1}{2}gt^2\)
Put the value into the formula
\(h=20\times2-\dfrac{1}{2}\times9.8\times2^2\)
\(h=20.4\ m\)
At t=3 sec,
We need to calculate the velocity and height
Using equation of motion
\(v=u-gt\)
Put the value into the formula
\(v=20-9.8\times3\)
\(v=-9.4\ m/s\)
Negative sign shows the opposite direction of motion
Now, using second equation of motion
\(h=ut-\dfrac{1}{2}gt^2\)
Put the value into the formula
\(h=20\times3-\dfrac{1}{2}\times9.8\times3^2\)
\(h=15.9\ m\)
At t=4 sec
We need to calculate the velocity and height
Using equation of motion
\(v=u-gt\)
Put the value into th formula
\(v=20-9.8\times4\)
\(v=-19.2\ m/s\)
Negative sign shows the opposite direction of motion
Now, using second equation of motion
\(h=ut-\dfrac{1}{2}gt^2\)
Put the value into the formula
\(h=20\times4-\dfrac{1}{2}\times9.8\times4^2\)
\(h=1.6\ m\)
So, The ball has hit the ground at 5 sec.
Hence, The speed and height at 0 sec are 20 m/s and 0 m.
The speed and height at 1 sec are 10.2 m/s and 15.1 m.
The speed and height at 2 sec are 0.4 m/s and 20.4 m.
The speed and height at 3 sec are 9.4 m/s and 15.9 m.
The speed and height at 4 sec are 19.2 m/s and 1.6 m.
Here is my question.
A ball is thrown vertically upward from the surface of theearth. Consider the following quantities:
1. the speed of the ball. 2. The velocity ofthe ball 3. The acceleration of the ball
Which of these is (are) zero when the ball has reached themaximum height?
a. 1 b. 2 only c. 1 and 2 d. 1 and 3 e. 1,2, and 3
Please tell my why when you have the answer.
A ball is thrown vertically upward from the surface of the earth. both velocity and speed will become zero at highest point. so correct option is c. 1 and 2
what is velocity and speed ?Speed is a scalar quantity and velocity is a vector. Speed only determines the magnitude that is how fast is a body moving whereas velocity determines the direction also that is in which direction the body is moving. Speed is the rate of change of distance whereas velocity is the rate of change of displacement.
Velocity is a measure of how fast something moves in a particular direction. To define it needs both magnitude and direction.
At highest point acceleration is not zero because we have acc due to gravity acting downwards.But since velocity and speed is zero the ball reaches the ground back
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A man who has type B blood (genotype: BB) is married to a woman with type O blood. What blood type will their children have? blood typing
A light, inextensible cord passes over a light, frictionless pulley with a radius of 4.8 cm. It has a(n) 15 kg mass on the left and a(n) 3.2 kg mass on the right, both hanging freely. Initially their center of masses are a vertical distance 4.4 m apart. The acceleration of gravity is 9.8 m/s 2 At what rate are the two masses accelerating when they pass each other
The two masses are accelerating toward each other at a rate of approximately 7.78 m/s² when they pass each other.
When solving this problem, we can consider the system as a whole and apply Newton's second law to determine the acceleration. The tension in the cord is the same on both sides of the pulley. Let's denote the tension as T. For the 15 kg mass, the net force acting on it is T - (15 kg * g), where g is the acceleration due to gravity. For the 3.2 kg mass, the net force acting on it is (3.2 kg * g) - T. Since the masses are connected by a cord passing over the pulley, their accelerations are equal in magnitude but opposite in direction.
We can set up the following equations:
T - (15 kg * g) = (15 kg * a) (1)
(3.2 kg * g) - T = (3.2 kg * a) (2)
Simplifying equation (1), we get T = (15 kg * g) + (15 kg * a)
Substituting this value into equation (2), we have (3.2 kg * g) - [(15 kg * g) + (15 kg * a)] = (3.2 kg * a)
Simplifying further, we find:
3.2 kg * g - 15 kg * g - 15 kg * a = 3.2 kg * a
-11.8 kg * g = 18.2 kg * a
Finally, solving for a:
a = (-11.8 kg * g) / (18.2 kg) ≈ -7.78 m/s²
The negative sign indicates that the acceleration is directed toward the left. The magnitudes of the accelerations of both masses are the same, so when they pass each other, they are accelerating toward each other at a rate of approximately 7.78 m/s².
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The two masses are accelerating toward each other at a rate of approximately 7.78 m/s² when they pass each other.
When solving this problem, we can consider the system as a whole and apply Newton's second law to determine the acceleration. The tension in the cord is the same on both sides of the pulley. Let's denote the tension as T. For the 15 kg mass, the net force acting on it is T - (15 kg * g), where g is the acceleration due to gravity. For the 3.2 kg mass, the net force acting on it is (3.2 kg * g) - T. Since the masses are connected by a cord passing over the pulley, their accelerations are equal in magnitude but opposite in direction.
We can set up the following equations:
T - (15 kg * g) = (15 kg * a) (1)
(3.2 kg * g) - T = (3.2 kg * a) (2)
Simplifying equation (1), we get T = (15 kg * g) + (15 kg * a)
Substituting this value into equation (2), we have (3.2 kg * g) - [(15 kg * g) + (15 kg * a)] = (3.2 kg * a)
Simplifying further, we find:
3.2 kg * g - 15 kg * g - 15 kg * a = 3.2 kg * a
-11.8 kg * g = 18.2 kg * a
Finally, solving for a:
a = (-11.8 kg * g) / (18.2 kg) ≈ -7.78 m/s²
The negative sign indicates that the acceleration is directed toward the left. The magnitudes of the accelerations of both masses are the same, so when they pass each other, they are accelerating toward each other at a rate of approximately 7.78 m/s².
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What do velocity, acceleration, force, and displacement, have in common?
Velocity, acceleration, force, and displacement, have magnitude and direction (ie vector quantity) in common
What is a vector quantity?This is a which have both magnitude and direction. Example include:
VelocityDisplacement ForceAccelerationMomentWeightWhat is a scalar quantity?This is a quantity which has magnitude but no direction. Example include:
WorkEnergySpeedMassTimeDistanceFrom the above, we can see that velocity, acceleration, force, and displacement, have magnitude and direction (ie vector quantity) in common
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a concave mirror forms an image on a screen twice as large as the object. both object and screen are then moved to produce an image on the screen that is three times the size of the object. if the screen is moved 75 cm in the process, how far is the object moved? what is the focal length of the mirror?
The size of the image is determined by the distance between the object and the mirror (object distance) and the distance between the mirror and the screen (image distance).
Using the formula for image distance (1/f = 1/object distance + 1/image distance), we can find the focal length of the mirror:
1/f = 1/object distance + 1/image distance (twice the object size)
1/f = 1/object distance + 2
1/f = 1/object distance + 1/image distance (three times the object size)
1/f = 1/object distance + 3
We know that the image distance (the distance from the mirror to the screen) is 75 cm in both scenarios, so we can set up the equations using that information:
1/f = 1/object distance + 2 (twice the object size)
75 = 2 * object distance + f
1/f = 1/object distance + 3 (three times the object size)
75 = 3 * object distance + f
Solving for object distance in the first equation:
object distance = (75 - f) / 2
Substituting that into the second equation:
75 = 3 * ((75 - f) / 2) + f
Simplifying and solving for f:
75 = (225 - 3f) / 2 + f
150 = 225 - 3f
3f = 75
f = 25 cm
So the focal length of the mirror is 25 cm.
To find the distance the object is moved, we can use the equation for object distance:
object distance = (75 - f) / 2
object distance = (75 - 25) / 2
object distance = 25 cm
So, the object is moved 25 cm in the process.
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Which angle allows the soil to receive the most direct light from the lamp?
0 degrees
20 degrees
45 degrees
90 degrees
Answer:
D. 90 degrees
Explanation:
just finished lab
Not all metals have the same current for a given electric potential
The statement 'Not all metals have the same current for a given electric potential' is TRUE. It is conductivity.
What is conductivity?All the metals are able to conduct electric currents, but some metals have a higher conductivity.
Metals are able to conduct electric currents due to the free movement of negatively charged particles i.e., electrons, across the conductor.
The band theory of metals states that metals can conduct electrons (e-) in an electric current by means of the help of the e- valence.
The density of free electrons in metals is around 10^28 m-3, which indicates the number of states at a particular energy level that negative e- can occupy.
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katie is going to an ent specialist for seasonal allergies. only those progress notes pertaining to treatment of rhinitis and copies of sinus x-rays are sent to the specialist's office. this is an example of:
In summary, sending only the progress notes related to the treatment of rhinitis and copies of sinus x-rays to the ENT specialist's office is an example of selective information transfer, allowing the specialist to focus on the specific condition being addressed.
The situation described is an example of selective information transfer between healthcare providers. Katie is going to an ENT specialist for her seasonal allergies, specifically for the treatment of rhinitis. In this case, only the progress notes related to the treatment of rhinitis and copies of sinus x-rays are being sent to the specialist's office.
This selective transfer of information is done to ensure that the specialist receives only the relevant medical records for the specific condition being addressed. By sending only the progress notes pertaining to the treatment of rhinitis and the sinus x-rays, the specialist can focus on evaluating and treating the specific condition, without being overwhelmed by unnecessary information.
This practice is common in healthcare settings where multiple specialists may be involved in a patient's care. By sending only the relevant information, it helps streamline the communication between healthcare providers and ensures that each provider receives the necessary information to make informed decisions regarding the patient's treatment.
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Where do gamma-ray bursts tend to come from?
Gamma-ray bursts are intense flashes of high-energy radiation that come from various sources in the universe. These bursts are short-lived, lasting only a few seconds to a few minutes, and emit more energy in that brief time than our sun will in its entire lifetime.
The majority of gamma-ray bursts come from the distant reaches of space, beyond our own Milky Way galaxy. Scientists believe that most of these bursts are caused by the collapse of massive stars, which create black holes or neutron stars. These events, known as supernovas, release huge amounts of energy in the form of gamma rays.
However, there are also other types of gamma-ray bursts that come from different sources, such as merging neutron stars or even collisions between galaxies. Some gamma-ray bursts have also been detected coming from our own Milky Way, likely caused by the explosive deaths of massive stars.
In summary, gamma-ray bursts come from a variety of sources in the universe, but the majority are caused by the collapse of massive stars into black holes or neutron stars.
Gamma-ray bursts (GRBs) tend to come from two primary sources in the universe. They are extremely energetic and short-lived bursts of gamma-ray light, the most energetic form of electromagnetic radiation.
1. Long-duration GRBs: These bursts typically last from a few seconds to several minutes and are believed to originate from the collapse of massive stars. When a massive star reaches the end of its life, its core collapses into a black hole or a neutron star. This process, known as a core-collapse supernova, releases a tremendous amount of energy in the form of gamma rays. The resulting jet of energy is called a long-duration gamma-ray burst.
2. Short-duration GRBs: These bursts usually last less than two seconds and are thought to result from the merger of two compact objects, such as neutron stars or a neutron star and a black hole. When these objects collide, they release a vast amount of energy in the form of gamma rays, producing a short-duration gamma-ray burst.
Both types of gamma-ray bursts are observed at vast distances across the universe, indicating that they come from diverse cosmic environments. These powerful events serve as important probes of the early universe and can provide valuable information about star formation, cosmic evolution, and the nature of matter under extreme conditions.
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Which statement describes all chemical changes, but not all physical changes?
1.bubbles are produced
2.A new substance forms.
3.phase changes occur
4.a color change occurs
2. A new substance forms
Chemical changes change composition, physical never do.
Hope This Helps, Good Luck!
Answer:
2: A new substances forms
Explanation:
20 BRAILY POINTS Which of the following actions will keep the gravitational force between two objects unchanged? Decreasing the mass of the objects Increasing the temperature of the objects Increasing the distance between the objects Decreasing the distance between the objects
Answer:
Explanation:
See attachment.
Decreasing the mass of the objects No. Force will change.
Increasing the temperature of the objects Yes, No change in force (at most a very small change if the heat causes excessive expansion, reducing the distance, although 1/2 will be further apart)
Increasing the distance between the objects No. Force will change.
Decreasing the distance between the objects No. Force will change.
a rocket cruises past a laboratory at 0.900×106m/s in the positive x-direction just as a proton is launched with velocity (in the laboratory frame) v⃗ =(1.55×106i^ 1.55×106j^)m/s. What is the proton's speed in the laboratory frame?
To determine the proton's speed in the laboratory frame, we need to find the magnitude of its velocity vector in the laboratory frame.
The velocity of the rocket is given as 0.900×10^6 m/s in the positive x-direction. The velocity of the proton in the laboratory frame is given as v⃗ =(1.55×10^6i^ + 1.55×10^6j^) m/s.
To find the proton's speed, we need to calculate the magnitude of its velocity vector:
|v⃗| = sqrt(vx^2 + vy^2)
where vx and vy are the x and y components of the velocity vector, respectively.
Substituting the given values:
|v⃗| = sqrt((1.55×10^6)^2 + (1.55×10^6)^2) m/s
|v⃗| = sqrt(2.4025×10^12 + 2.4025×10^12) m/s
|v⃗| = sqrt(4.805×10^12) m/s
|v⃗| ≈ 2.191×10^6 m/s
Therefore, the proton's speed in the laboratory frame is approximately 2.191×10^6 m/s.
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Conduction is greater in solids .explain in your own words Why?
Explanation:
because conduction takes place in objects whose particles are close/touching each other therefore conduction happens in solid as liquid and gas paricles are not close to each other
(3%) Problem 31: A certain heat engine has a power output of 9.1 kW and an efficiency of 21 %. The engine wastes 4500 J of energy in each cycle and converts the rest to work.
a) How much energy, in joules, does the engine absorb from the hot reservoir in each cycle?
b)How much time, in seconds, is required to complete one cycle?
The energy of engine absorb from the hot reservoir in each cycle is (9,100 J/s) / 0.21. 4500 J / (9,100 J/s) .The time is required to complete one cycle is 4500 J / (9,100 J/s).
(A) To determine the amount of energy absorbed by the engine from the hot reservoir in each cycle, we can use the equation for efficiency. The efficiency of the heat engine is given by the ratio of the useful work output to the energy input from the hot reservoir:
Efficiency = (Useful Work Output) / (Energy Input)
In this case, the efficiency is given as 21%, which can be expressed as 0.21. The power output of the engine is 9.1 kW. We can convert this to joules per second (J/s) by multiplying by 1000:
Power Output = 9.1 kW = 9,100 J/s
Now, we can rearrange the efficiency equation to solve for the energy input:
Energy Input = (Useful Work Output) / Efficiency
Energy Input = (9,100 J/s) / 0.21
Calculating this expression gives us the amount of energy the engine absorbs from the hot reservoir in each cycle.
(B) To determine the time required to complete one cycle, we can use the relationship between power and energy. Power is defined as the rate at which energy is transferred or transformed. In this case, we know the power output of the engine is 9.1 kW. To find the time, we need to divide the total energy wasted in each cycle (4500 J) by the power output:
Time = Energy Wasted / Power Output
Time = 4500 J / (9,100 J/s)
By evaluating this expression, we can find the time required to complete one cycle in seconds.
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an electric-powered snow-thrower machine throws snowballs 0.3 kgkg each at a speed of 9 m/sm/s . the machine throws 2 snowballs per second. what is the average electric power consumption of such a machine? consider that its efficiency is 50 %% . express your answer with the appropriate units.
The average electric power consumption of the electric-powered snow-thrower machine is 48.6 watts.
First, let's calculate the power required to throw one snowball. We know that the machine throws snowballs at a speed of 9 m/s and each snowball weighs 0.3 kg. The kinetic energy of a snowball can be calculated using the formula KE = (1/2)mv^2, where m is the mass and v is the velocity.
Using this formula, the kinetic energy of one snowball is:
KE = (1/2) * 0.3 kg * (9 m/s)^2 = 12.15 J
Now, since the machine throws 2 snowballs per second, the power required to throw these snowballs can be calculated by dividing the total kinetic energy by the time taken to throw the snowballs. In this case, the time taken to throw 2 snowballs is 1 second.
So, the power required to throw 2 snowballs is:
Power = (Total kinetic energy) / (Time taken) = (2 * 12.15 J) / 1 s = 24.3 W
However, we also need to consider the efficiency of the machine. The efficiency is given as 50%. Efficiency is defined as the ratio of useful output energy to the input energy.
Since the efficiency is 50%, only 50% of the electrical energy is converted into kinetic energy. Therefore, the actual power consumption of the machine can be calculated by dividing the power required by the efficiency:
Actual Power Consumption = (Power required) / (Efficiency) = 24.3 W / 0.5 = 48.6 W
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Highway safety engineers want to design roadside barriers that will crumple in the event that a car drives off the road and collides with them, slowing down the car more gradually. The average person has a mass of 68 kg and travels on a highway at a velocity of 27 m/s. If the engineers know that the maximum force that a person can safely withstand is 1180 N, approximately how much time is required to crumple the barrier to safely slow the person with this force?
It would take 1.556 seconds for the barrier to crumple and safely slow down the person with a force of 1180 N.
To calculate the time required to crumple the barrier and safely slow down the person, we can use the concept of impulse.
The impulse, denoted by J, is defined as the product of force and time, and it represents the change in momentum of an object. In this case, the impulse required to safely slow down the person can be calculated using the maximum force and the person's initial momentum.
The momentum of a person is given by the product of their mass and velocity:
Momentum = mass × velocity
Given that the person's mass is 68 kg and their velocity is 27 m/s, the initial momentum is:
Initial momentum = 68 kg × 27 m/s
To safely slow down the person, the impulse provided by the barrier should be equal to the change in momentum.
Therefore, we have:
Impulse provided by barrier = Final momentum - Initial momentum
Since the person is brought to rest, the final momentum is zero. Thus, we have:
Impulse provided by barrier = -Initial momentum
Now we can express the impulse in terms of force and time:
Impulse provided by barrier = Force × Time
Plugging in the known values, we can solve for time:
-Initial momentum = Force × Time
68 kg × 27 m/s = 1180 N × Time
Simplifying the equation, we find:
Time = (68 kg × 27 m/s) / 1180 N
Evaluating the expression:
Time = 1836 kg·m/s / 1180 N
Finally, converting kg·m/s to seconds, we get:
Time ≈ 1.5559 seconds
Therefore, it would take approximately 1.556 seconds for the barrier to crumple and safely slow down the person with a force of 1180 N.
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What do you think happens to kinetic energy with potential energy being increased?
Answer:
If the kinetic energy increases, the potential energy decreases, and vice-versa.
Explanation:
The amount of change in kinetic energy is equal to the amount of change in potential energy.
please help!!!!!!!!!!
Answer:
C
Explanation:
three bricks means 3 times the weight, so 6/3=2
One forecasting model was used to forecast demand for a product. The forecasts and the demand are shown in the table below. B Actual Forecast 11 40 41 35 38 3 38 35 33 30 IX Calculate Moan Absolute Deviation (MAD) and Mean Squared Error (MSE). Show all details and use 1 decimal in your answer For the toolbar, press ALT+F10 (PC) or ALT+FN-F10 (Mac). BI V S Paragraph Arial 14px V QUESTION 1 The department manager is using a combination of methods to forecast sales of tonsters at a local department store. The demanders shown in the be Week Actu Demand 11 24 bo 2 bas x III A Using trend projection, calculate foresting values for week and week & Show details of your answer For the toolbar, pro ALT.F10 PC) O ALT.FN.F10 Mac BIS Paragraph Arial 14 Focus Chile we state
The estimated demand for Week 4 is 36.3
MAD(Mean Absolute Deviation) is used to calculate the average difference between forecast values and actual values. It calculates the deviation by taking the absolute value of the difference between actual and forecasted demand. The formula to calculate Mean Absolute Deviation is:
MAD= Sum of| Actual demand - Forecast demand | / number of periods
In the given table, the Actual demand is shown as B and the forecast demand is shown as F.
B Actual Forecast 11 40 41 35 38 3 38 35 33 30
Calculation of MAD:
Actual (B) Forecast (F) |B-F|11 40 29.041 35 5.043 38 0.053 3 35.054 38 3.055 35 0.056 33 3.057 30 3.058 0.0 30.0Total 103.0
The number of periods is 9 as shown in the table.
MAD= 103/9MAD= 11.44
Mean Squared Error (MSE) measures the average squared difference between the actual and forecasted values. The formula for MSE is:
MSE= Sum of (Actual demand - Forecast demand)^2 / number of periods.
Calculation of MSE:
Actual (B) Forecast (F) (B-F)^2 11 40 841 35 25 625 38 0 0 3 35 484 38 0 0 35 33 4 30 0 900Total 2854
The number of periods is 9 as shown in the table.
MSE= 2854/9MSE= 317.1
Therefore, the calculated MAD is 11.44 and MSE is 317.1.
Trend Projection formula is given by:
Y = a + bx
where Y is the estimated demand for a particular period.
a is the Y-intercept
b is the slope of the regression line x is the period number
In the given table, the Week number is shown as X and the Actual demand is shown as Y.
Week number Actual Demand 11 24 22 29
Using trend projection for Week 3, we can calculate the demand as follows:
Slope (b) = (nΣ(xy) - Σx Σy) / (nΣ(x^2) - (Σx)^2) =(2*22 - 1*24)/(2*3 - 1*1) = 20/5 = 4
Intercept (a) = Σy/n - b(Σx/n) =(24+22)/2 - 4(2/2) = 23Y = a + bx = 23 + 4(3) = 35
Therefore, the estimated demand for Week 3 is 35.
Using trend projection for Week 4, we can calculate the demand as follows:
Slope (b) = (nΣ(xy) - Σx Σy) / (nΣ(x^2) - (Σx)^2) =(2*29 - 1*24)/(2*5 - 1*1) = 34/9 = 3.78
Intercept (a) = Σy/n - b(Σx/n) =(24+22+29)/3 - 3.78(2.0) = 21.5Y = a + bx = 21.5 + 3.78(4) = 36.3
Therefore, the estimated demand for Week 4 is 36.3.
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Why is air warmer near Earth's surface?
A.
The Sun heats Earth's surface, and in turn the air above it is heated.
B.
Warm air is more dense and sits on top of Earth's surface.
C.
Warm air is less dense and sits on Earth's surface HELP PLZ!!
Answer:
I am pretty sure it is A!
:D
The air is warmer near Earth's surface because warm air is denser and sits on top of the Earth's surface. The correct option is B.
What is air density?The mass of the air per unit volume is known as the air density. Its unit is kg/m³.
Due to the lower pressures in the air above, air expands when it rises. cooling air expands.
The hottest temperatures in the troposphere are often found at the earth's surface because the sun heats the atmosphere predominantly from the surface and because the air cools as it ascends.
Because warm air is denser and lies on top of the surface of the Earth, it is warmer near the surface of the earth.
Hence, the correct option is B.
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PLS HURRY IM TAKING THE TEST! THX
Particles q1 = -75.8 uC, q2 = +90.6 uC, and 93 = -84.2 uC are in a line. Particles q1 and q2 are separated by 0.876 m and particles q2 and q3 are separated by 0.432 m. What is the net force on particle q3?
The net force on particle q3 is -3.49 x 10^-3 N.
What is net force on q3?The net force on particle q3 can be calculated by considering the electric forces between q3 and each of the other particles, and then adding them vectorially. The electric force between two charged particles can be calculated using Coulomb's law:
\(F = k * |q1 * q2| / r^2\)
where k is Coulomb's constant (8.9875 x 10^9 N * m^2/C^2), q1 and q2 are the magnitudes of the charges, and r is the separation between the charges.
First, let's calculate the electric force between q3 and q2:
\(F12 = k * |-84.2 uC * 90.6 uC| / (0.432 m)^2\\= 8.9875 x 10^9 N * m^2/C^2 * (7583.792 uC^2) / (0.432 m)^2\\= 8.9875 x 10^9 N * m^2/C^2 * (7583.792 x 10^-6 C^2) / (0.432 m)^2\\= 3.05 x 10^-3 N\)
Next, let's calculate the electric force between q3 and q1:
\(F13 = k * |-84.2 uC * -75.8 uC| / (0.876 m)^2\\= 8.9875 x 10^9 N * m^2/C^2 * (6399.756 uC^2) / (0.876 m)^2\\= 8.9875 x 10^9 N * m^2/C^2 * (6399.756 x 10^-6 C^2) / (0.876 m)^2\\= -6.54 x 10^-3 N\)
Finally, the net force on particle q3 is given by the vector sum of the individual forces:
Fnet = \(F12 + F13 = 3.05 x 10^-3 N - 6.54 x 10^-3 N = -3.49 x 10^-3 N\)
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A projectile of mass 0.2 kg and an initial velocity of 50 m/s collides with the end of a blade attached to a turbine. The rotational inertia of the turbine is 12.5 kg⋅m2 . Assume the loss of energy of the projectile in the collision is completely transferred to the blades, causing them to spin. If the final rebound velocity of the projectile after hitting a turbine blade is −25 m/s , which of the following is most nearly the rotational velocity of the turbine after the collision?
Answer:
5.5 rad/sec
Explanation:
Answer:
5.47 rad/s
Explanation:
We can solve this problem using the principle of conservation of energy and angular momentum.
First, let's find the initial kinetic energy of the projectile:
K1 = (1/2) * m * v1^2
= (1/2) * 0.2 kg * (50 m/s)^2
= 250 J
where v1 is the initial velocity of the projectile.
Next, let's find the final kinetic energy of the projectile:
K2 = (1/2) * m * v2^2
= (1/2) * 0.2 kg * (-25 m/s)^2
= 67.5 J
where v2 is the final velocity of the projectile after the collision.
The loss of energy in the collision is:
ΔK = K1 - K2
= 187.5 J
This energy is transferred to the blades, causing them to spin. Let's assume that all of this energy is converted to rotational kinetic energy of the turbine.
The final rotational kinetic energy of the turbine is:
K_rot = (1/2) * I * ω^2
where I is the moment of inertia of the turbine and ω is the final rotational velocity of the turbine.
Using the conservation of energy, we can equate the loss of kinetic energy in the collision to the gain in rotational kinetic energy of the turbine:
ΔK = K_rot
187.5 J = (1/2) * 12.5 kg m^2 * ω^2
ω^2 = (2 * 187.5 J) / (12.5 kg m^2)
ω^2 = 30
ω = 5.47 rad/s
Therefore, the rotational velocity of the turbine after the collision is 5.47 rad/s.
An apple in a tree has a GPE of 175 J and a mass of 0.36 KG how high from the ground is the apple Solve for  height
Answer:
The height of the apple from the ground is at 49552.61071 m or is approximately at 5.0 × 10 m
Explanation:
How would the moon appear to people on earth on this day
It would be half dark
It would be. Quarter dark
It would be complete light
It would be completely dark
Answer:
It would be. Quarter dark
Explanation:
Sun's lights going all the way to the moon but there will still a dark part of it
it's obviously won't be neither complete light nor completely dark
so the right answer is: Quarter dark
Why is the term "scientific methods" more accurate than "scientific method"
Answer:
The term "scientific methods" are more accurate than "scientific method" because "s" used in "scientific methods" makes the word plural and science experiments use several observations to get a result and not only based on single observation.
So, "scientific methods" is a plural term that is more accurate than "scientific method".
if an object rolls without slipping down an inclined plane, what is true about static friction force? (select all that apply.) it adds to the translational acceleration of the object. it provides the torque to cause the angular acceleration. it must always be equal to the maximum static friction. it directs energy from the system into thermal energy. it goes against gravity to reduce the acceleration caused by gravity.
When an object rolls without slipping down an inclined plane, the true statement(s) about static friction force are: It provides the torque to cause the angular acceleration and it goes against gravity to reduce the acceleration caused by gravity. The correct answer is B and E.
What is friction?Friction is the force that opposes relative motion between surfaces in contact. It is also called a contact force because it operates between the surfaces in contact when they're in motion or when a force tries to move them relative to one another.
What is an inclined plane?An inclined plane is a simple machine that consists of a sloping surface that connects a lower point to a higher point. It is one of the six classical simple machines that is used to reduce the effort needed to raise a weight to a certain height.
What is rolling without slipping?Rolling without slipping is a combination of translational motion (movement in a straight line) and rotational motion (movement around an axis) without any slipping occurring between the surfaces in contact. A wheel or any other circular object rolls without slipping when its forward motion is the same as its rotational motion.
What is static friction?Static friction is the force that keeps an object at rest or in a state of uniform motion on a surface when a force is applied on it. When two surfaces are in contact, static friction is the force required to overcome the sticking between them that resists motion.
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In the space provided, sketch and label a graph of the angular velocity as a function of time, including labels on the axes, standard units, a title, and if applicable, any significant numerical values.
Theta = position angle, t = time, and w = angular velocity, where w = angular velocity, theta = position angle, and t = time. Angular velocity is the rate of change of an object's position angle with respect to time.
Thus, An object's rate of rotation and direction of rotation are both described by its angular velocity.
It is customary for the positive direction to be in the counterclockwise direction. Here are some angular velocity issues for practice. The ratio of the angular displacement () to the time of motion, for a constant angular velocity, is the angular velocity.
Angular velocity only applies to things that are moving in a circular motion, making it less frequent than linear velocity.
A racecar on a circular track, a roulette ball on a wheel, or a Ferris wheel are a few examples of objects with angular motion.
Thus, An object's rate of rotation and direction of rotation are both described by its angular velocity.
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Janet jumps horizontally off a high diving platform with a velocity of 2.76 m/s and lands in the water 2.3 s later. How high is the platform? The acceleration of gravity is 9.8 m/s. Answer in units of m.
How far from the base of the platform does she land? Answer and units of m.
Answer:
(a) Let the height of the platform is h meter,
=>By s = ut + 1/2gt^2
=>h = 0 + 1/2 x 9.8 x (2.3)^2
=>h = 25.92 m
(b) By R = [Ux] x t
=>R = 2.47 x 2.3
=>R = 5.68 m
Explanation:
Explanation:
From the exercise we know the initial horizontal velocity and the time that Janet takes to land in the water
a) Knowing the formula for free falling objects, we can calculate how high is the platform
At t=2.3m the position of Janet is y=0m
So, the platform is 26m tall
b) According to dynamics the displacement of an object can be analyze using the following formula:
So, Janet lands 6 m far from the base of the platform
Three identical capacitors are connected in parallel to a potential source (battery). If a charge of Q flows into this combination, how much charge does each capacitor carry? 3Q Q/2 Q/3 Q
Three identical capacitors are connected in parallel to a potential source (battery). If a charge of Q flows into this combination, Each capacitor will carry a charge of Q/3.
A capacitor is a two-terminal electrical device that can store energy in the form of an electric charge. It consists of two electrical conductors that are separated by a distance. The space between the conductors may be filled by vacuum or with an insulating material known as a dielectric.capacitor, device for storing electrical energy, consisting of two conductors in close proximity and insulated from each other. A simple example of such a storage device is the parallel-plate capacitor.
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P2O5 is a covalent compound used to purify sugar. What is the name of this compound?
diphosphorus oxide
diphosphorus pentoxide
phosphorus oxygen
phosphorus pentoxidei is
Answer:
diphosphorus pentoxide
Explanation:
just checked it!! <3 gl
P2O5 is a covalent compound used to purify sugar. diphosphorus pentoxideis the name of this compound. Hence option B is correct.
Covalent substance diphosphorus pentoxide, with the chemical formula P2O5, is frequently employed in the purification of sugar. It is a two phosphorus and five oxygen atom solid that is white and crystalline in nature.
The term "diphosphorus pentoxide" accurately describes the substance's molecular make-up. In the sugar business, this substance is used as a dehydrating agent to assist remove water from sugar solutions.
Diphosphorus pentoxide accelerates the transformation of sucrose into solid sugar by interacting with water, which reduces the growth of microbes and increases the stability and shelf life of the finished product.
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