Answer:
The magnitude is 63 kg m²/s, and the direction is -k.
Explanation:
Plug the values into the equation:
L = m v×r
L = (3.0 kg) (<5 i + 3j> m/s × <2i − 3j> m)
Take the cross product. The cross product of two dimensional vectors is:
<v₁ i + v₂ j> × <r₁ i + r₂ j> = <(v₁ r₂ − v₂ r₁) k>
Therefore:
L = (3.0 kg) <((5)(-3) − (3)(2)) k m²/s>
L = (3.0 kg) <-21 k m²/s>
Multiply:
L = <-63 k kg m²/s>
The magnitude is 63 kg m²/s, and the direction is -k.
A random sample of 10 of the 2005 Nextel Cup NASCAR drivers produced the following ages: 33, 48, 41, 29, 40, 48, 44, 42, 49, 28. a. Find the mean age for the 10 NASCAR drivers of the 2005 Nextel Cup. b. Find the median age for the 10 NASCAR drivers of the 2005 Nextel Cup. c. Find the midrange of age for the 10 NASCAR drivers of the 2005 Nextel Cup. d. Find the mode, if one exists, for age for the 10 NASCAR drivers of the 2005 Nextel Cup.
Answer:
Mean 40.2Median 41.5Mid-range 38.5Mode 48Explanation:
Arrange the given data in increasing order
Given, 33, 48, 41, 29, 40, 48, 44, 42, 49, 28.
⇒28,29,33,40,41,42,44,48,48,49
⇒number of sample ,n, =10
⇒The mean is sum of sample÷number of samples
[tex]28+29+33+40+41+42+44+48+48+49=402\\\\\\\\n=10\\\\mean=\frac{402}{10} =40.2[/tex]
⇒Median is the center value in the data set
28,29,33,40,41,42,44,48,48,49---------In this case , median is half sum of 41 and 42
[tex]median=\frac{41+42}{2} =\frac{83}{2} =41.5[/tex]
⇒The mid-range is the mean of the sum of the least and greatest value
=(28+49)÷2 =77÷2=38.5
⇒Mode is the value that appears most in the data set
28,29,33,40,41,42,44,48,48,49-----------mode is 48
In the equation Ca(s) + 2H2O(l) -->Ca(OH)2(aq) + H2(g) list each element used as a reactant, and tell how many atoms of each are needed for this reaction.
The reactants are Calcium, Hydrogen and Oxygen.
We need 1 atom of Calcium, 4 atoms of Hydrogen and 2 atoms of Oxygen.
Hope this helps.
r3t40
A mass of 5 kg is moving at 5 m/s when it collides with another mass of 2 kg moving in the same direction at 2 m/s. After the collision they become bonded together. What is the final velocity of the two masses together? 2.22 m/s
6.23 m/s
3.56 m/s
4.14 m/s
Answer:
4.14 m/s
Explanation:
m¹u¹+m²u²=(m¹+m²)v
5(5)+2(2)=(5+2)v
25+4=7v
29=7v
29/7=v
v=4.14 m/s
What is the name of the system for conducting a scientific investigation?
Please need help
Answer:
The scientific method
Explanation:
Answer:
the answer would be Scientific method !
Explanation:
:)
by what are isotopes identified?
A.mass numbers
B.atomic masses
C.atomic mass units
D.average atomic masses
A body has density of 2kg/m² and volume 2m². Find the mass of the volume
Answer:
4kg
Explanation:
density is mass/ volume, 4/2= 2
Answer:
The mass is 4kg
Explanation:
Density of an object is defined as the ratio of the mass of the object to its volume. Mathematically,
Density = mass/volume
Mass is measured in kilogram (kg)
Volume is measured in m³
From the formula;
Mass = Density × volume
Mass = 2kg/m³ × 2m³
Mass = 4kg
How is centripetal force affected if an object increases its mass?
Explanation:
Centripetal force is:
F = m v² / r
where m is mass, v is velocity, and r is radius.
Force is proportional to mass, so if mass increases, then force also increases.
If mass increases centripetal force will also increase
What is centripetal force ?A centripetal force is a net force that acts on an object to keep it moving along a circular path.
centripetal force = m[tex]v^{2}[/tex] /r
where m = mass of the object
v = velocity of the object
r = radius of the circular path
since . mass is directly proportional to centripetal force
hence , if mass increases centripetal force will also increase
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an object in uniform circular motion must be changing its speed in order move in a circular path
Answer:
False
Explanation:
An object in uniform circular motion must be changing its velocity in order to move in a circular path.
In fact, remind that velocity is a vector which consists of a magnitude (the speed) and a direction.
When an object is moving in uniform circular motion, the direction of the motion is constantly changing (since the trajectory is a circle): so, this means that the velocity is also changing. However, this does not imply that the speed of the object is changing. In fact, in a uniform circular motion, the speed of the object remains constant.
The first law of thermodynamics describes how the heat added to a system is conserved. Heat the internal energy of the system or is transformed into , or both. Heat is just transformed, not created or destroyed.
Answer:
The first law of thermodynamics describes how the heat added to a system is conserved. Heat
⇒ increases the internal energy of the system or is transformed into
⇒ work, or both. Heat is just transformed, not created or destroyed.
Explanation:
edge 2020
The first law of thermodynamics states that the change in internal energy of a system is equal to the net heat transfer into the system minus the net work done by the system. This law emphasizes that energy can be transferred into or out of a system through heat or work, but it cannot be created or destroyed.
Explanation:The first law of thermodynamics is a fundamental principle that applies to energy conservation in thermodynamic systems. It states that the change in internal energy of a system is equal to the net heat transfer into the system minus the net work done by the system.
In equation form, the first law of thermodynamics is represented as AU = Q - W, where AU is the change in internal energy, Q is the net heat transfer, and W is the net work done by the system.
This law emphasizes that energy can be transferred into or out of a system through heat or work, but it cannot be created or destroyed.
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In a video game, a ball moving at 0.6 meter/second collides with a wall. After the collision, the velocity of the ball changed to -0.4 meter/second. The collision takes 0.2 seconds to occur. What’s the acceleration of the ball during the collision? Use .
Answer:
-5 m/s²
Explanation:
Acceleration = change in velocity / change in time
a = (v − v₀) / (t − t₀)
a = (-0.4 m/s − 0.6 m/s) / 0.2 s
a = -5 m/s²
The ball decelerates at a rate of -5 m/s².
Answer: -5 m/s²
Explanation:
Explain reflection and refraction
A measure of the force that moves charges through a conducting material
Answer:
Voltage
Explanation:
Answer:
the answer of this is voltage
The period and frquency of a wave are inversely related true or false
Answer:
True
Explanation:
As frequency increases, the length of the wave (period) decreases.
As frequency decresaes, the length of the wave (period) increases.
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The statement is true; period and frequency have an inverse relationship because the period is the time for one complete wave cycle and frequency is the number of cycles that occur per second.
The statement that the period and frequency of a wave are inversely related is true. The period (T) of a wave is defined as the time for one complete wave cycle, whereas the frequency (f) is the number of waves that pass a point in one second. Because these two quantities measure opposite concepts - time per cycle versus cycles per time - their relationship is inherently inverse, which can be represented mathematically as f = 1/T. Considering electromagnetic waves, we acknowledge that as the wavelength increases, the frequency decreases, demonstrating again the inverse relationship. Similarly, a higher frequency means waves have less time between cycles, leading to a shorter period. This principle is a fundamental concept in wave physics and applies to all types of waves, including sound, light, and mechanical waves.
A missile is moving 1810 m/s at a 20.0 degree angle. It needs to hit a target 19,500 m away in a 32 degree direction in 9.20 seconds. What is the direction of the acceleration that the engine must produce?
Answer:
79.1°
Explanation:
Given:
x₀ = 0 m
y₀ = 0 m
x = 19500 cos 32°
y = 19500 sin 32°
v₀x = 1810 cos 20°
v₀y = 1810 sin 20°
t = 9.20
Find:
ax, ay, θ
First, in the x direction:
x = x₀ + v₀ t + ½ at²
19500 cos 32° = 0 + (1810 cos 20°) (9.20) + ½ ax (9.20)²
16537 = 15648 + 42.32 ax
ax ≈ 21.01
And in the y direction:
y = y₀ + v₀ t + ½ at²
19500 sin 32° = 0 + (1810 sin 20°) (9.20) + ½ ay (9.20)²
10333 = 5695 + 42.32 ay
ay ≈ 109.6
The direction of the acceleration is therefore:
θ = atan(ay / ax)
θ = atan(109.6 / 21.01)
θ ≈ 79.1°
Answer:
79.1°
Explanation:
A missile is moving 1810 m/s at a 20.0 degree angle. It needs to hit a target 19,500 m away in a 32 degree direction in 9.20 seconds. The direction of the acceleration that the engine must produce is 79.1°
A cylindrical piece of aluminum is 6.00cm y’all and 2.00cm in radius how much does it weigh
Answer:
2.00 N
Explanation:
Weight is mass times gravity:
W = mg
Mass is density times volume:
m = ρV
Volume of a cylinder is:
V = πr²h
Finding the volume:
V = π (2.00 cm)² (6.00 cm)
V = 75.4 cm³
The density of aluminum is 2.7 g/cm³. Finding the mass:
m = (2.7 g/cm³) (75.4 cm³)
m = 204 g
Finding the weight:
W = (0.204 kg) (9.8 m/s²)
W = 2.00 N
The aluminum cylinder weighs 2.00 N.
Evaluate tan45/tan45
Answer:
1
Explanation:
tan 45° = √2\2
tan θ = y\x
According to the Unit Circle, when you divide √2\2 by
itself, you get 1.
I'm not sure I completely understand the expression you want evaluated.
It looks like a fraction with the same exact thing in both the numerator and the denominator. A fraction like that always boils down to ' 1 '.
what is the resultant velocity
The sum of more than one velocity vector.
Or the sum of an initial velocity vector and an acceleration vector integrated over time.
What is the sum of two vectors?
A. addition vector
B. displacement vector
c. distance vector
D. resultant vector
Answer:
resultant vector
the answer is the resultant vector
The sum of two vectors D. resultant vector
What is a vector ?
A vector is an object that has both a magnitude and a direction
a) Vector addition is the operation of adding two or more vectors together using laws (such as triangle or parallelogram law ) , hence wrong option
b) Displacement is a vector whose length is the shortest distance from the initial to the final position , hence wrong option
c) Distance is not a vector quantity it is a scaler quantity , wrong option
d) The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together, hence it is a correct option
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The horizontal component of force acting at an angle of 30 degree with the horizontal is 100N.Find the magnitude of the force and its vertical component.
Explanation:
Using trigonometry:
cos θ = Fx / F
cos 30 = 100 / F
F = 115.47
tan θ = Fy / Fx
tan 30 = Fy / 100
Fy = 57.74
The magnitude is 115.47 N and the vertical component is 57.74 N. Round as needed.
Which set of data would be best illustrated with a bar graph?
the effect of hours spent exercising on heart rate
the number of skyscrapers in 5 different cities
an illustration of how the humidity in the air responds to the temperature of the air
data showing how the number of hours spent studying affects the score on an exam
Answer:
the number of skyscrapers in 5 different cities ( second choice)
Answer:
the number of skyscrapers in 5 different cities
Explanation:
A bar graph is a perfect way to show the relation between two components where the components are not variable. Here if you look at second option, the two components are: No. of skyscraper and cities. It is evident that the skyscraper's no. is not a variable and will remain fixed.
While if you look at the other option, the components are variable and thus can not be represented on a bar graph.
Describe how one plays Dr.Dogeball
Final answer:
Dr. Dodgeball is a playful game in which one player, as the virus, hits others with a sensory ball or tags them with their elbow. Those hit must 'self-isolate' or get 'vaccinated' by designated doctors to stay in the game.
Explanation:
How to Play Dr. Dodgeball
Dr. Dodgeball is an imaginative game inspired by current events and offers an interactive understanding of various concepts such as self-isolation and cooperation. To play the game, one player assumes the role of the virus, tasked with hitting their peers with a sensory ball on a trampoline.
If a player is struck by the ball, they must 'self-isolate' on the edge of the trampoline. This 'isolation' involves counting to 10 and can happen up to three times. On the fourth hit, the player performs a dramatic cough and pretends to 'die'.
In another variation, the virus player tags people with their elbow. Once tagged, a player has 10 seconds to receive a 'vaccine' from one of the two players acting as doctors by being untagged with an elbow touch. If a doctor manages to tag the original virus player, the game ends, and either the roles rotate or the same doctor becomes the new virus for the next round.
The game is flexible and can be played in various settings including neighborhoods, parks, and even remotely using mobile devices.
Overall, Dr. Dodgeball can be described as a playful way to engage in physical activity while incorporating themes from the health world, such as virus transmission and preventive measures, into the gameplay.
How did the transcontinental railroad impact travel?
A. It allowed passengers to travel from Chicago to New York.
B. It allowed passengers to travel from Canada to Florida.
C. It allowed passengers to travel from Maine to Florida.
D. It allowed passengers to travel from the Atlantic Ocean to the Pacific.
Answer:
D
Explanation:
The transcontinental railroad was worked on from both sides of America. At the Pacific Ocean and the Atlantic Ocean. The purpose was to make travel easier from one side of the country to the other, and to get American items to the east and west of America for export to other countries, as well as a few other reasons such as building up the interior of America.
The transcontinental railroad revolutionized travel by connecting the Atlantic and Pacific coasts, transforming trade and transportation in the United States.
The transcontinental railroad impacted travel by allowing passengers to travel from the Atlantic Ocean to the Pacific. This monumental achievement connected the West Coast with the eastern rail networks, transforming cross-country travel and trade. It spurred the growth of hub cities like Chicago, which became vital for managing the extensive railroad networks.
The strength of gravitational force is affected by the mass of objects and which of the following?
Answer:
The distance between two objects
Explanation:
Depending on how far away or how close two objects are will affect the gravity.
Gravitational force strength depends only on two factors, mass of objects and distance between the objects.
Explanation:
The distance between two objects experiencing the gravitational force are in inverse relationship in proportionality.
That is, when distance between two increases, “strength of gravitational force decreases”, and vice versa. If the one of the mass is doubled, force of gravity also doubles and if it increases, force of gravity also increases.
Iron oxide reacts with aluminum to give aluminum oxide and iron. What kind of chemical reaction is this? A. combustion B. decomposition C. replacement D. synthesis
Answer: Option (C) is the correct answer.
Explanation:
In a chemical reaction, where two different compounds or a mate and a compound are reacting with each other then more reactive metal is able to displace less reactive metal.
When only one element gets displaced then it is known as a replacement or single replacement reaction.
For example, [tex]Fe_{2}O_{3}(s) + 2Al(s) \rightarrow Al_{2}O_{3}(s) + 2Fe(l)[/tex]
Here, aluminium is more reactive in nature as compared to iron. Hence, iron is replaced by aluminium and this reaction is known as replacement reaction.
Thus, we can conclude that the given chemical reaction is replacement.
The image shows a dam. Which descriptions best fit the labels?
X: kinetic energy
Y: potential energy
X: potential energy
Y: kinetic energy
X: mechanical energy
Y: electrical energy
X: electrical energy
Y: mechanical energy
Answer:
X: potential energy
Y: kinetic energy
Explanation:
At x water is held at a height relative to the turbines the water turns. Water is then forced by gravity to move down the dam to try to reduce the potential energy and create an equilibrium.
This process transforms potential energy into kinetic energy once the water is set in motion.
Answer:
X: potential
Z:kinetic
Just did it on edge nuity 2020
What are three disadvantages of making and using plastic? It pollutes the land and water. It requires cutting down trees for raw materials. It takes an incredibly long time to break down. It freely conducts heat and electricity. It isn’t easy to recycle.
Answer:
The correct answers would be option A, C and E.
Explanation:
A material made up of synthetic or semi synthetic compounds is called Plastic. This material is malleable and can be molded into solid form. There are many disadvantages of using the plastics. Three of the main disadvantages are :
- Plastic pollutes the land and water. Because it does not decay.
- Plastic takes an incredibly long time to break down.
- Plastic is not easy to recycle.
Above mentioned problems make the use of plastic so undesirable.
Answer:
A. It pollutes the land and water.
C. It takes an incredibly long time to break down.
E. It isn’t easy to recycle.
Explanation:
What is the magnitude of the kinetic frictional force
Answer:
Magnitude of kinetic force is the product of the normal force and the coefficient of kinetic friction.
Explanation:
The kinetic frictional force is the force which is experienced in the moving surfaces of bodies.The magnitude of the force is affected by the coefficient of kinetic friction between the material of two bodies in contact. Mathematically, it is expressed as;
Fk=μk*η
where;
Fk=force of kinetic frictionμk=coefficient of kinetic frictionη=normal forcewhat are the full forms of RADAR and SONAR
Answer:
RADAR and SONAR. Although they rely on two fundamentally different types of wave transmission, Radio Detection and Ranging (RADAR) and Sound Navigation and Ranging (SONAR) both are remote sensing systems with important military, scientific and commercial applications
Explanation:
A wheelbarrow is a compound machine
True
False
true
A wheelbarrow is a compound machine made up of a lever and a wheel and axle. The handles of the wheelbarrow act as levers to lift materials.
True
Wheelbarrow is a compound machine.
Does the size of the particles change as the substance changes state?
Answer:
Particles stay the same unless there is a chemical change whether the matter is solid, liquid or gas.
Explanation:
When substances change state there is no change in mass so if 100 g of ice is melted 100g of water are formed this will boil to form 100g of steam (this is called "conservation of mass").
Answer:
No. The size of the particles in the substance remains the same when the state of matter changes.
Explanation: