Answers
It is a false statement that a person should be able to find all the answers to their science questions in the text because there are billions of scientific questions and it is almost impossible for any kind of textbook to contain all the answers.
What is science?Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.
A method of learning about the world is science. Science allows people to participate in the creation of new knowledge as well as use that knowledge to further their goals.
The idea that someone should be able to find all the answers to their scientific inquiries in the text is untrue since there are countless unanswered scientific questions, making it nearly impossible for any textbook to provide them all.
Thus, the statement is false.
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Related Questions
In what ways does ecotourism help living things in ecosystems?
Answers
Ecotourism has the potential to eliminate the requirement to hunt wildlife for a living. Ecotourism generates revenue by maintaining the rainforest; deforestation is discouraged because it reduces tourist revenue.
What role does ecotourism play in biodiversity conservation?Ecotourism firms safeguard biodiversity by preserving animals in their natural habitats and preserving natural ecosystems in biosphere reserves, wildlife sanctuaries, and national parks.
Can tourism save the environment?Ecotourism contributes to the preservation of a destination's ecological and biological diversity. For example, since Costa Rica's jungle is so popular with visitors, inhabitants work hard to protect it instead of attempting deforest it for a short-term profit.
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Explain the working and principle of perisocope.
Answers
Answer:
a periscope use total internal reflection to allow us to see things
the reflection happens at 45°
Explanation:
A system gains 1500J of heat and 2200J of work is done by the system on its surroundings. Determine the change in internal energy of the system
Answers
Answer:
-700
formula is heat gained - work done
The change in internal energy if A system gains 1500J of heat and 2200J of work is done by the system on its surroundings, is 700 joules.
What is Energy?Energy is the ability to perform work in physics. It could exist in several different forms, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc.
Additionally, there is heat and work, which is energy being transferred from one body to another. Energy is always assigned based on its nature once it has been transmitted. Thus, heat transmitted may manifest as thermal energy while work performed may result in mechanical energy.
Given:
A system gains 1500J of heat and 2200J of work is done by the system on its surroundings,
Calculate the change in internal energy as shown below,
The change in internal energy = heat gained - work done
The change in internal energy = 1500 - 2200
The change in internal energy = -700 J
Thus, the change in internal energy is 700 joules.
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An astronaut measure the period of a mass spring system on Earth. How would the period be affected if the astronaut measured the period of the same mass spring system on the moon? (Moon's gravity = 1/6 Earth's gravity.)
Answers
An astronaut measure the period of a mass spring system on Earth.
The period of a mass spring system on the moon would be longer than the period on Earth. This is because the period of a mass spring system is dependent on the square root of the ratio of the mass to the spring constant, and the acceleration due to gravity. Since the acceleration due to gravity on the moon is only 1/6th of that on Earth, the restoring force on the mass will be weaker, resulting in a longer period. Therefore, the astronaut would measure a longer period for the same mass spring system on the moon than on Earth.
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From the edge of a cliff, a 0.41 kg projectile is launched with an initial kinetic energy of 1430 J. The projectile's maximum upward displacement from the launch point is 150 m. What are the (a) horizontal and (b) vertical components of its launch velocity
Answers
Answer:
v₀ₓ = 63.5 m/s
v₀y = 54.2 m/s
Explanation:
First we find the net launch velocity of projectile. For that purpose, we use the formula of kinetic energy:
K.E = (0.5)(mv₀²)
where,
K.E = initial kinetic energy of projectile = 1430 J
m = mass of projectile = 0.41 kg
v₀ = launch velocity of projectile = ?
Therefore,
1430 J = (0.5)(0.41)v₀²
v₀ = √(6975.6 m²/s²)
v₀ = 83.5 m/s
Now, we find the launching angle, by using formula for maximum height of projectile:
h = v₀² Sin²θ/2g
where,
h = height of projectile = 150 m
g = 9.8 m/s²
θ = launch angle
Therefore,
150 m = (83.5 m/s)²Sin²θ/(2)(9.8 m/s²)
Sin θ = √(0.4216)
θ = Sin⁻¹ (0.6493)
θ = 40.5°
Now, we find the components of launch velocity:
x- component = v₀ₓ = v₀Cosθ = (83.5 m/s) Cos(40.5°)
v₀ₓ = 63.5 m/s
y- component = v₀y = v₀Sinθ = (83.5 m/s) Sin(40.5°)
v₀y = 54.2 m/s
Calculate the amount of air in a room 6m long, 5m wide and 3mm high.
Answers
Answer:
0.09kg of air
Explanation:
The dimensions of the room are given
change the height to meters by dividing it by thousand.
For the volume multiplying the length,width and height (all should be in the same unit most suitable being meters).
Volume refers to the amount of space inside a box or a object.
The amount of air is equal to the volume.
Answer:
90 m^3
Explanation:
Volume of the room:
6 m * 5 m * 3 m = 90 m^3 <=====( I changed 3mm to 3 m)
if 3mm is not a typo mistake
volume becomes ( 3 mm = .003 m)
6 m * 5 m * .003 m = .09 m^3 ( though unlikely )
if the evaporator oulet temperature on an r-410A system is 50f and the evaporator superheat is 10f, what is the evaporating pressure of the refrigerant in the system
Answers
Answer: 143 psig
Explanation:
Given data:
System heat = 50f
Evaporator superheat = 10f
System = r410a.
Solution:
Evaporating pressure of the refrigerant in the system
= system heat - evaporator superheat.
= 50f - 10f
= 40f.
Using the r-410a temperature chart
40f = 143 psig.
A worker drops a wrench from the top of a tower 80 m tall. What is the velocity when the wrench strikes the ground? Round to the nearest 100ths place.
Answers
Answer:
39.60 m/s
Explanation:
An appropriate formula is ...
v = √(2gd) = √(2·9.8 m/s^2·80 m) ≈ 39.60 m/s
Please help me with the attached image.
Answers
a. The two cars are moving at the same speed at t = 3.88 seconds.
b. The two autos are moving at a speed of 4.18 cm/s at that moment.
c. The cars pass each other at time t = 1.05 s and t = 2.54 s, respectively.
d. At t = 1.05 seconds, the first car is located at 12.15 cm, and the second car is located at 16.55 cm. At t = 2.54 seconds, the first car is located at 10.69 cm, and the second car is located at 17.39 cm.
What is the speed of the two cars?
The speed of the cars is derived using the formula for linear velocity.
The velocity of the first car is calculated as follows:
v = v₀ + at
where;
v₀ is the initial velocity,a is the acceleration, andt is the time elapsed.The velocity of the second car can be calculated as:
v = v₀
where;
v₀ is the initial velocity since there is no acceleration.
We equate the two velocities of the two cars and solve for time:
-4.40 + 2.70t = 6.10
2.70t = 10.50
t = 3.88 seconds
b. To find the speeds of the cars at time t, we can substitute t = 3.88 seconds in the velocity equation for the first car:
For the first car:
v = -4.40 + 2.70 * 3.88
v = 4.18 cm/s
c. Solving for the time when the positions of the cars are equal allows us to determine when they pass one another.
The position of the first car will be:
x = x₀ + v₀t + 1/2 at²
where x₀ is the initial position.
The position of the second car will be:
x = x₀ + v₀t
equating the two positions equal and solving for time:
13.5 - 4.40t + 1/2 * 2.70t² = 10.5 + 6.10t
1.35t² + 1.70t + 3.00 = 0
Solving the quadratic equation, we get two times:
t = 1.05 s and t = 2.54 s
d. We can re-insert the time values into the position equation for each car to determine where the automobiles were at the times indicated in (c).
For t = 1.05 seconds:
First car:
x = 13.5 - 4.40 * 1.05 + 1/2 * 2.70 * 1.05²
x = 12.15 cm
Second car:
x = 10.5 + 6.10 * 1.05
x = 16.55 cm
For t = 2.54 seconds:
First car:
x = 13.5 - 4.40 * 2.54 + 1/2 * 2.70 * 2.54²
x = 10.69 cm
Second car:
x = 10.5 + 6.10 * 2.54
x = 17.39 cm
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PLEASE HELP! Will give BRAINILIEST! An amplifier can magnify the intensity of sound waves by a factor of 1,000. If a 30dB sound is fed into the amplifier, how many decibels will come out?
Answers
Answer:
30,000dB
Explanation:
30,000dB because 30 multiplied by a factor of 1000 is 30,000
Hope this helps! :)
When the applied force is 150 N and the friction is 94 N, what is the motion? A. Accelerated motion b. Decelerated motion c. No motion D. Uniform motion
Answers
Answer:
the answer to this question is Accelerated motion
Joe walked 8 meters from his seat to his teacher's desk to turn in an assignment. On
the way back to his seat Joe stops and talks to Sarah. Sarah's desk is in the front row,
exactly 2 meters from the teacher's desk. What is Joe's displacement in meters?
Answers
Answer: Joe's displacement is 6
Step-by-step explanation:
8-2=6
The displacement of Joe for the entire journey is 6 m backwards.
The given parameters;
fist position of Joe, x₁ = 8 mfinal position of Joe, x₂ = 2 mDisplacement is the change in the position of an object. It can also be described as the shortest distance between the final position and the initial position.
Displacement = Δx = x₂ - x₁
Let the forward direction be negativeLet the backward direction be positiveDisplacement = -2 - (-8)
Displacement = -2 + 8
Displacement = 6 m backwards
Thus, the displacement of Joe for the entire journey is 6 m backwards.
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Which law of thermodynamics does each of the following scenarios violate (if any)?
A machine that can turn 1000J of heat directly into 1000J of electricity
1.
The first law of thermodynamics
2.
The second law of thermodynamics
3.
The third law of thermodynamics
4.
It is allowed
Answers
Answer: The scenario violates the second law of thermodynamics.
Explanation: The second law states that heat cannot be converted into work without some loss of usable energy, and that the amount of usable energy in a closed system will always decrease over time. Therefore, the machine described in the scenario cannot exist because it would violate the second law by converting all of the heat into electricity without any loss of usable energy.
HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Answers
Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.
To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.
In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.
To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.
Total cost covered by the five friends = Total cost - Cost of one person's meal
= (£12 x 6) - £12
= £72 - £12
= £60
Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).
Amount each friend needs to pay = Total cost covered by the five friends / Number of friends
= £60 / 5
= £12
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To a stationary observer, a man jogs east at 2 m/s and a woman jogs west at
3 m/s. From the woman's frame of reference, what is the man's velocity?
Answers
Answer:
5 m/s east
Explanation:
i just took the test and it was correct
Answer:
Just took the test. 5 m/s east.
Explanation:
The Periodic Table & Atomic Structure Unit Notes: Part I
Learning Target 1: Development of the Atomic Theory
GO TO-->Chemistry-->Unit 2: Atomic Theory-->Concept 2.5: Development of the Atomic Theory-->Explore Tab 1
Essential Question: How Did the Atomic Theory evolve from Ancient Greece to Modern Day, and Which Key Scientists Made Which Contributions?
Ancient Greek philosophers were the first to discuss atoms and matter. This became known in time as____________. Atomic theory states that matter is composed of ____________ units called atoms.
Democritus (460–370 BCE) proposed that all matter in the world consisted of invisible and indivisible corpuscles (or small particle-like objects). He called these corpuscles ______________.
John Dalton (1766–1844) is best known for his work on ________________, which came about during his development of partial pressure gas laws.
John Dalton's atomic theory had five points:
________________ of particles called atoms.
Atoms of a given element have unique properties. While atoms of the ________________are identical, atoms of ________________ elements differ in size, mass, and properties.
Atoms cannot be subdivided, ________________, or ________________.
Atoms of different elements combine in simple ratios to form chemical _________________.
During chemical reactions, atoms are combined, separated, or ________________.
Vocabulary
Law of Conservation of Mass -
Early Developments in Atomic Theory
J. J. Thomson discovered the first subatomic ________________ a little more than a century ago. He used a cathode ray tube to determine that atoms contain ________________charged particles, or electrons.
Video: Thomson's Atomic Model
Question: Why is Thompson’s model called the plum pudding model? What does it say about the negative and positive charges in an atom?
Ernest Rutherford’s Gold Foil Experiment
--considered by some to be the “Father of ________________.” He is perhaps best known for his ________________ experiment.
Rutherford directed a narrow beam of ________________ charged particles toward a thin piece of ________________.
Rutherford predicted that most particles would ________________________________. He also predicted that a few would be ________________ by the electrons in the atoms of the gold foil, but that the path of these particles ________________change much.
Some of the particles, however, were _______________ at the particle source! This proved that something larger than an electron was blocking its path through the foil.
Rutherford concluded that an atom’s _______________and its mass are concentrated in a very small area of the atom.
He believed the electrons occupied the space around the ________________, his model was called the ________________ model of the atom.
He determined the radius of the nucleus to be at least ________________ times smaller than the radius of the entire atom.
Rutherford showed that the nucleus contains positively (+) charged particles we now call ________________.
Refining the Atomic Theory
Niels Bohr, studied the changes that occurred within an atom when _______________ was added to it or removed. He found that the amounts of energy absorbed and emitted by hydrogen atoms were related to the energies of their _______________.
His theory claimed that _______________ orbit the nucleus of an atom.
The amount of energy determines the electron's _______________ from the nucleus.
When Bohr studied the light energy given off by an atom of hydrogen, he found that each electron is associated with a ________________ of energy. These are referred to as ________________.
When an electron absorbs a quantum of energy, it becomes excited and moves to a ________________ energy level, one that is ________________ from the nucleus. When the electron falls from the excited state back to its ground state, it emits energy in the form of ________________ radiation (light).
Vocabulary. Define the term below
Energy Levels -
Video: Structure of the Bohr Model
Question: What are Bohr’s 4 ‘postulates’?
1.
2.
3.
4.
Bohr’s theory gave rise to the planetary or _______________ model of the atom, because it stated that electrons orbited the atom’s nucleus in circular ___________, similar to those of planets in the solar system. Bohr’s model was later proven _______________.
Modern Quantum Theory
Today’s understanding of the atom is built on Bohr’s model. It is now believed that electrons move around the nucleus in a “_______________” instead of circular paths. Quantum theory attempts to explain the fact that energy and electrons have properties similar to particles and _______________.
Video: Electron Cloud Model
Question: Why can’t we say that electrons are in orbits?
Explain Question For Learning Target 1: How did scientists use the work of earlier scientists and the contributions of their peers to develop the atomic theory?
______________________________________________________________________________
Answers
What happens to the temperature of a substance while it is changing state?
A. It decreases first and then remains constant.
B. It increases first and then decreases.
C. It remains constant.
D. It varies randomly.
Answers
The temperature remains constant while the substance is changing state.The correct answer is option C.
When a substance undergoes a change of state, such as melting, boiling, or condensing, the temperature of the substance remains constant during the phase transition. The process of changing state requires the absorption or release of heat energy without a change in temperature.
For example, when a solid is heated, its temperature increases until it reaches the melting point. At this point, the substance starts to change from a solid to a liquid, but the temperature remains constant until all the solid has melted.
The absorbed heat energy is used to break the intermolecular forces holding the particles together, rather than increasing the kinetic energy of the particles.
Similarly, during the process of condensation or freezing, a substance releases heat energy as it changes state. This released energy is used to form intermolecular forces and convert the substance from a gas to a liquid or a liquid to a solid. The temperature remains constant until the phase transition is complete.
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What impulse is needed to stop a 10 kg bowling ball
moving at 6 m/s?
Answers
The impulse is needed to stop a 10 kg bowling ball moving at 6 m/s² is (F)= 60N.
What is force?The force phenomena means that a object of mass is struck by some external thing and move a distance then it is called a force. It is a vector quantity. It can be measured in Newton, Dyne.
How can we calculate the force?To calculate the force we are using the formula here is newtons first law of motion, F=ma
Now we are given,
m= The mass of the object. =10kg.
a =The acceleration of the object = 6 m/s².
we have to calculate the values of force= F N.
Now we put the values in above equation,
F=ma
Or, F= 10*6
Or, F= 60N
According to the formula we can say that, The impulse is needed to stop a 10 kg bowling ball moving at 6 m/s² is (F)= 60N.
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What impulse is needed to stop a 10 kg bowling ball moving at 6 m/s²?
A bicyclist riding northwest along a road at 16 mph feels the wind blowing directly to the east at 17 mph. What wind speed would someone measure if they were standing at rest next to the road? .
Answers
The correct answer 12.611 mph.
Cyclist traveling in a northwest direction at a speed of 16 mph. (Directed 45 degrees from the North)
Cycling speed is therefore 16 sin (45 o) in the direction of the north and 16 cos (45) in the direction of the west
Let's assume that this is located on a cartesian plane. Let the positive Y-axis be north and the positive X-axis be east.
Speed = \(V_c\) = (-16/√2 i + 16/√2 j) mph
In relation to a cyclist, the wind speed is = \(V_{cw\) = 17 i mph
Let, V_w thus,
\(V_{cw = V_w - V_c\)
\(V_w = V_{cw + V_c\)
\(V_w\) = 17i + (-16/√2 i + 16/√2 j)
\(V_w\) = (17 - 16/√2) i + 16/√2 j
\(V_w\) = 5.6 i + 11.3 j
| \(V_w\)| = 12.611
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You wish to heat 20 kg of water from 40°C to 80°C. How many kcal of heat are necessary to do this? To how many kJ does this correspond?
Answers
20Kg x 1000g x 1 Equals 20000 gram of water. 10 000 gram times a temperature range of 40 to 80 is 12000 calories. 5023200 joules are equal to 10,000 gram times 4.186 joules at 40 or 80 degrees.
What is the equation to calculate kJ?kilojoules (kJ), energy. A equation E Equals mc2, were E is already in joules, m is now in kilogrammes, and c seems to be the light speed in metres per second, can be used to recall the base unit conversion. To view the outcomes displayed in the table, enter the quantity of kJ you wish to convert into the text box.
How does heat transmission use kJ?Heat has kJ of energy (or BTU). The quantity of heat transmitted per unit of time is known as the rate of heat transfer. Heat has a magnitude, a direction, and an action point because it is a direction (or vector) quantity. Heat transmission quantity is noted as Q (kJ).
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An ideal massless spring, inclined plane, that makes an angle theta with the horizontal, and mass arrangement is given. A block of mass m is released from rest at the top of a frictionless incline. The block comes to rest momentarily after it has compressed this spring by ∆x. Initially, distance between the block and the spring is d.
Find ∆x.
Answers
Compression is Δx = √(2mgd·sinθ/k).
Given parameters:
Mass of the block = m.
Distance between the spring and the block is = d
The spring constant = k.
And, angle of inclination = θ.
And, The block comes to rest momentarily after it has compressed this spring by ∆x.
Now, loss of potential energy of the block = mgd sinθ.
And, gain in potential energy of the spring due to compression = 1/2k(Δx)²
From principle of conservation of energy,
1/2k(Δx)² = mgd sinθ.
⇒ Δx = √(2mgd·sinθ/k)
So, amount of compression is Δx = √(2mgd·sinθ/k).
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1. Consider the position vs time graph for objects A and B .
a. Describe how the motion of object A is different from that of object B.
Answers
Answer:
obj A is making a parabolic path whereas object B is moving in a straight path . on going further the position of object A decreases whereas the position of object B goes on increasing
A ball from to a planet that has a gravitational acceleration that double that of Earth How does the gravitational force on the new planel c gravitational force on the ball when on Earth?
Answers
Answer:
Explanation:
The gravitational force on the ball when it is on the new planet is double the force on the ball when it is on Earth. The gravitational force on the ball when it is on the new planet is half the force on the ball when it is on Earth.
A hare can run at a rate of 15 m/s, while a turbocharged tortoise can now crawl at a rate of 3 m/s, how much of a head-start (time-wise) does the tortoise need in order to tie the hare in a 250 meter race?
A.
16.7 seconds
B.
66.7 seconds
C.
83.3 seconds
D.
100 seconds
Answers
Answer:
t = 66.7 s
Explanation:
Given that,
Speed of a hare, v = 15 m/s
Speed of a turbocharged tortoise, v' = 3 m/s
The hare in a 250 meter race
Let the Hare takes time t. It can be calculated as follows :
\(t=\dfrac{250}{15}=16.67\ s\)
Let a turbocharged tortoise takes t'. It can be calulated as follows :
\(t'=\dfrac{250}{3}= 83.33\ s\)
To tie the race, required time is given by :
\(\Delta t = t'-t\\\\=83.33-16.67\\\\=66.66\ s\\\\\approx 66.7\ s\)
Hence, the correct option is (b) i.e. 66.7 seconds.
How does a positive charge and a negative charge interact when they are brought close together
Answers
A positive charge and a negative charge will attract when they are brought close together.
What is Law of magnetism?The law of magnetism states that like poles repel one another and unlike poles attract each other.
This is commonly tested using a magnet in the laboratory by scientists in which the North pole and the South attract each other while similar poles such as North and North will repel each other. In this scenario, a positive charge and a negative charge interacting will lead to attraction which is therefore the reason why it was chosen as the correct choice.
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GIVING BRAINLIEST!!
How would you describe the relationship between an object's mass an a objects ability to pick up speed or accelerate? use words constant, increase, force, mass, and acceleration.
Answers
Answer:
They are inversely related
Explanation:
The mass of an object and its ability to pick up speed or accelerate is inversely proportional.
According to newton's second law of motion "the force on an object is the product of its mass and acceleration".
force = mass x acceleration
So; for an object to pick up speed faster, it must have a lower mass. The higher the mass of a body, the lower its acceleration.
At constant speed, there is no acceleration and the mass of the body is not relevant to the motion.
Answer:
you increase the force on the mass and then it will hit the acceleration u seet for it
Explanation:
a car travels in a distance of4kmin 40 seconds find the speed in meter per seconds??
Answers
The speed of the car is 100 meters per second.
Speed is a measure of how quickly an object moves from one place to another. It is calculated by dividing the distance traveled by the time taken to cover that distance.
To find the speed of the car in meters per second, we need to convert the distance traveled from kilometers to meters and the time taken from seconds to hours.
Distance traveled = 4 km = 4,000 meters
Time taken = 40 seconds = 40/3,600 hours = 0.0111 hours
Now, we can use the formula:
Speed = Distance / Time
Speed = 4,000 meters / 0.0111 hours
Speed ≈ 360,360 meters per hour
Finally, to convert the speed to meters per second, we divide by 3,600 (the number of seconds in an hour):
Speed = 360,360 meters per hour / 3,600 seconds per hour
Speed ≈ 100 meters per second
Therefore, the speed of the car is approximately 100 meters per second.
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(20%) Problem 5: Two identical springs, A and B, each with spring constant k=54.5 N/M, support an object with a weight W=11.6N. Each spring makes an angle of θ=20.6 degrees to vertical, as shown in the diagram.
50% Part (a) Write an expression for the tension in spring A (which is equal to the tension in spring B) in terms of W and θ.
T= W cos (θ) -sin (θ)
Answers
The expression for the tension in the spring A is T(A) = √[(-W cos(90 - θ))² + (W sin(90 - θ))²]
What is the tension in spring A?
The tension in spring A can be determined by resolving the forces into x and y components as shown below.
The angle spring A makes with horizontal is calculated as;
A = 90⁰ - θ
The horizontal component of the tension on spring A;
T(Aₓ) = -W cos(A)
T(Aₓ) = -W cos(90 - θ)
The vertical component of the tension of spring A is calculated as;
T(Ay) = W sin(A)
T(Ay) = W sin(90 - θ)
The expression for the tension in spring A is calculated as;
T(A) = √[(T(Aₓ)² + T(Ay)²]
T(A) = √[(-W cos(90 - θ))² + (W sin(90 - θ))²]
Thus, the expression for the tension in the spring A is determined through resolution of vector components.
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WILL DO BRAINLIEST A jar contains seven pink, 6 orange, and four blue marbles. If you pick one without looking, what is the probability that the marble you pick will be orange?
6/10
6/17
11/17
7/11
Answers
Answer:
Choice 2: 6/17
Explanation:
4+7=11. 6+11= 17. so it's 6/17
The components of a 15 meters per second velocity at an angle of 60 degrees above the horizontal are?
Answers
Answer:
x-component of velocity: 7.5 m/s
y-component of velocity: 13 m/s
Explanation:
This problem is pure trigonometry. Assuming you know trig, there are only a couple of steps to solving this problem. First, split the velocity into components; recall that any vector not directed along an axis has x and y components. Then, remember that sinΘ = opposite/hypotenuse. Applying this to your scenario, you get sin60° = vy/15. Multiplying this out gives you vy=15sin60. Put this into a calculator (make sure it's set to degree mode because the angle in this problem is in degrees) and you should get 12.99, which you can round up to 13 m/s. This is the velocity in the y-direction.
The procedure to find the x-velocity is very similar, but instead of using sine, we will use the cosine of theta. Recall that cosΘ=adjacent/hypotenuse. Once again plugging this scenario's numbers into that, you end up with cos60 = vₓ/15. Multiplying this out gives you vₓ = 15cos60. Once again, plug this into your calculator. 7.5 m/s should be your answer. This is the velocity in the x-direction.
By the way, a quick way to find the components of a vector, whether it's velocity, force, or whatever else, is to use these functions. Generally, if the vector points somewhere that's not along an axis, you can use this rule. The x-component of the vector is equal to hypotenuse*cosΘ and the y-component of the vector is equal to hypotenuse*sinΘ.