Answer:
Final speed of the stone, v = 35 m/s
Explanation:
It is given that,
Initial speed of the stone, u = 5.6 m/s
Let v is the velocity of the stone after 3 seconds have passed. It is moving down under the action of gravity. So, using the first equation of motion as :
[tex]v=u+at[/tex]
[tex]v=u+gt[/tex]
[tex]v=5.6+9.8\times 3[/tex]
v = 35 m/s
So, the final speed of the stone is 35 m/s. Hence, this is the required solution.
Two particles move along an x axis. the position of particle 1 is given by x = 9.00t2 + 6.00t + 2.00 (in meters and seconds); the acceleration of particle 2 is given by a = -8.00t (in meters per seconds squared and seconds) and, at t = 0, its velocity is 23.0 m/s. when the velocities of the particles match, what is their velocity?
Final answer:
when the velocities of the particles match, their velocity is approximately 49.10 m/s.
Explanation:
For particle 1:
Given x = 9.00t² + 6.00t + 2.00 (in meters and seconds), we can find its velocity by taking the derivative of x with respect to t:
v₁(t) = dx/dt = 18.00t + 6.00
For particle 2:
Given a = -8.00t (in meters per seconds squared and seconds), we can find its velocity by integrating a with respect to t:
v₂(t) = ∫ a dt = -4.00t² + C
Given that at t = 0, v₂(0) = 23.0 m/s, we can solve for C:
v₂(0) = -4.00(0)² + C = C = 23.0
So, v₂(t) = -4.00t² + 23.0
Now, we need to find when their velocities match:
v₁(t) = v₂(t)
18.00t + 6.00 = -4.00t² + 23.0
Now, solve for t:
4.00t² + 18.00t - 17.0 = 0
Using the quadratic formula:
t = (-b ± √(b² - 4ac))/(2a)
Substituting a = 4.00, b = 18.00, and c = -17.0:
t = (-18.00 ± √(324 + 272))/(8.00)
t = (-18.00 ± √596)/(8.00)
t ≈ -1.70 or 2.45
Since time cannot be negative, we discard t = -1.70. Thus, t = 2.45 s.
Now, substitute t = 2.45 s into either v₁(t) or v₂(t) to find the velocity when their velocities match.
Let's use v₁(t):
v₁(2.45) = 18.00(2.45) + 6.00
v₁(2.45) ≈ 49.10 m/s
Final answer:
When the velocities of the particles match, their velocity is 23.0 m/s.
Explanation:
To find the velocity when the velocities of the particles match, we need to set their velocity functions equal to each other. The velocity of particle 1 is obtained by taking the derivative of its position function:
v1(t) = 18.00t + 6.00
The velocity of particle 2 is given to us as 23.0 m/s. So we set:
v1(t) = 18.00t + 6.00 = 23.0
Now, solve the equation for t:
18.00t + 6.00 = 23.0
18.00t = 17.0
t = 17.00/18.00 = 0.94 s
Therefore, when the velocities of the particles match, their velocity is 23.0 m/s.
when do sea breezes occur
You drive a car for 2.2 h at 45 km/h, then for another 2.2 h at 60 km/h. what is your average velocity?
Newtons thrid law of motion describes?
The cubic centimeter, which is often abbreviated as cc or cm3, is the metric unit of what
Answer:
Submultiplo of volume of the international system of units (cubic meter).
Explanation:
The cubic centimer is a submultiple of the unit of measure of volume in the International System of Units, which is the cubic meter.
It corresponds to the volume of a cube of one centimeter side. It is equivalent to one millionth of a cubic meter and also one milliliter.
Which is a valid ionic compound?
a: sodide chlorine
b: sodium chloride
c: sodium chloride
D : sodide chloride
Answer: The correct answer are (b) and (c).
Explanation:
Ionic compound is a chemical compound. It is a compound of ions. These ions are held together by the electrostatic force. But the compound is neutral overall.
Sodium chloride is an ionic compound. The ions of the sodium chloride compound is sodium ion and chloride ion. Sodium ion is cation while chloride ion is anion.
Cation is positively charged species. Anion is negatively charged species.
Sodide chloride is not an ionic compound.
Therefore, the correct options are (b) and (c).
If you are traveling at 750,000 mm/s, how many km/hr are you traveling?
To make the jump, Neo and Morpheus have pushed against their respective launch points with their legs applying a _____ to the launch points. distance dimension equilibrium force
Final answer:
To make the jump, Neo and Morpheus apply a 'force' to their respective launch points. By Newton's third law, this force results in an equal and opposite reaction force that propels them into the air. The same principle applies to a student jumping from a window, where thrust and mutual gravitational forces come into play.
Explanation:
To make the jump, Neo and Morpheus have pushed against their respective launch points with their legs applying a force to the launch points. When any object wants to jump or launch off the ground, it must exert a force against the ground to propel itself into the air. This concept is described by Newton's third law, which states that for every action, there's an equal and opposite reaction. Therefore, when jumping, our legs push down on the ground, and in response, the ground pushes our bodies upward with an equal force, allowing us to lift off.
This is related to the example of the astronomy student mentioned in the reference material, where the student's and the Earth's mutual forces of gravity result in a change of momentum for both; however, due to Earth's much larger mass, it moves imperceptibly compared to the student. When the student jumps, his acceleration is significantly greater. This can be further explored with the concept of thrust, which is a force that pushes an object forward - in this case, upwards against gravity when the student jumps from the window.
A package of chips weighs 45 grams. How much is that in kilograms?
A 10 kg mass rests on a table. What acceleration will be generated when a force of 20 N is applied and encounters a frictional force of 15 N?
A minivan sells for 33,200 dollars. Give the price of the minivan in a) kilodollars and megadollars
Final answer:
When converting the price of a minivan from dollars to kilodollars and megadollars, it equals 33.2 kilodollars and 0.0332 megadollars respectively.
Explanation:
A minivan selling for $33,200 can be converted into kilodollars and megadollars as follows:
1 kilodollar = 1000 dollars, so in kilodollars, the minivan's price is 33.2 kilodollars.
1 megadollar = 1,000,000 dollars, so in megadollars, the minivan's price is 0.0332 megadollars.
The average mass of an automobile in the United States is about 1.440x10^6 g express this mass in kilograms
The average mass of an automobile in the United States is about 1.440x10^6 g, which is equivalent to 1440 kg.
Explanation:The average mass of an automobile in the United States is about 1.440x106 g. To express this mass in kilograms, you can convert from grams to kilograms by dividing the mass by 1000. Therefore, 1.440x106 g is equal to 1440 kg.
A car accelerates at 2 m/s2. Assuming the car starts from rest, how much time does it need to accelerate to a speed of 20 m/s? A. 2 seconds B. 10 seconds C. 20 seconds D. 40 seconds E. none of the above
The car need 10 seconds to accelerate to a speed of 20 m/s.
Acceleration:
It is defined as the rate of change in velocity with time. The change can speed change or direction change.
The formula,
[tex]\bold {a = \dfrac vt}[/tex]
Where,
a - acceleration = 2 [tex]\bold { m/s^2 }[/tex]
v - velocity = 20 m/s
t -time = ?
Put the values in the formula,
[tex]\bold {a = \dfrac {20}{2}= 10\ s}[/tex]
Therefore, the car need 10 seconds to accelerate to a speed of 20 m/s.
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What is the difference between a foliated and a non-foliated metamorphic rock?
Foliated metamorphic rocks exhibit a layered or banded appearance due to the pressure differential during metamorphism, leading to a preferred orientation of minerals. Non-foliated metamorphic rocks, on the other hand, do not demonstrate this feature as they form under conditions where pressure is exerted equally from all sides or from minerals that don't align in planes.
Explanation:The primary difference between a foliated and a non-foliated metamorphic rock lies in their structure and formation process. Metamorphic rocks undergo a physical and chemical alteration due to high temperature and pressure. This transformation leads to two broad categories: foliated and non-foliated metamorphic rocks.
Foliated metamorphic rocks display a layered or banded appearance that's caused by the pressure differential during the metamorphism process. This causes minerals to be reoriented in the direction of the pressure, producing a foliated structure with parallel alignment of minerals, like in the case of slate and gneiss.
In contrast, non-foliated metamorphic rocks do not have this layered or banded appearance. They are generally formed from minerals that don’t align in planes or have uniform pressure exerted in all directions. Therefore, these rocks such as quartzite and marble, present a massive or granular structure without a preferred orientation of the mineral grains.
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40 POINTS CORRECT ANSWER
Why does hot air rise and cold air sink?
A ) Cold air has more kinetic energy than hot air.
B ) Hot air has more potential energy than cold air.
C ) Cold air is more dense than hot air.
D ) Hot air is more dense than cold air.
Hot air rises and cold air sinks because Cold air is more dense than hot air. The correct option is (C).
What is density?Density is a physical property of matter that describes how much mass is packed into a given volume of a substance. It is defined as the amount of mass per unit volume of a substance, and it is commonly measured in units of grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³).
The formula for density is:
Density = Mass / Volume
Where:
Density is the density of the substance (in kg/m³ or g/cm³)
Mass is the mass of the substance (in kg or g)
Volume is the volume of the substance (in m³ or cm³)
Here in The Question,
The main reason that hot air rises and cold air sinks is due to differences in their densities. When air is heated, it expands and becomes less dense. Conversely, when air is cooled, it contracts and becomes more dense. This is known as the density-temperature relationship.
Option (A) "Cold air has more kinetic energy than hot air" is not true because the temperature is a measure of the average kinetic energy of the particles in a substance. Hot air has a higher temperature and therefore, more kinetic energy than cold air.
Option (B) "Hot air has more potential energy than cold air" is not true because potential energy is related to an object's position or configuration. Temperature does not have a direct relationship with potential energy.
Option (D) "Hot air is more dense than cold air" is also not true. When air is heated, it expands and becomes less dense. Therefore, hot air is less dense than cold air.
Therefore, the correct option is (C) Cold air is more dense than hot air, which explains why hot air rises and cold air sinks.
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a force of 100 newtons is applied to a box at an angle of 36 degrees with the horizontal. If the mass of the box is 25 Kilograms, what is the horizontal acceleration of the box
A dart is thrown at some speed v at 45° above the horizontal, with the aim of hitting the bull's eye of a dartboard located 2.5 m away. if the dart leaves the hand of the player at a height located 20 cm below the bull's eye, at what speed v must the dart be thrown?
Final answer:
To hit a target 2.5m away and 20cm above the release point, the dart must be thrown at a speed of approximately 4.95 m/s when launched at a 45° angle. This is derived using projectile motion equations, catering to the horizontal range and maximum height.
Explanation:
To find the initial speed v at which a dart must be thrown at a 45° angle to hit a target 2.5m away, positioned 20cm above the release height, we can use the projectile motion equations. Due to the symmetry of projectile motion at a 45° launch angle, where the horizontal and vertical components of initial velocity are equal, we can solve for v using the formula for the range of a projectile and the formula for the maximum height.
Firstly, assuming no air resistance, the horizontal range R is given by R = v^2 × sin(2°) / g, where g = 9.8 m/s2 is the acceleration due to gravity. At 45°, sin(90°) is 1, thus R = v^2 / g. Setting R = 2.5m gives us the equation to find v.
For the vertical motion, considering the dart must rise 0.20m above the release height, we use the equation y = vy^2 / (2g), where vy is the vertical component of v. Since vy = v × sin(45°), and sin(45°) = sqrt(2)/2, this simplifies the calculation. However, due to the symmetry of the problem, both components contribute equally to achieving the required range and height. Thus, solving the range equation gives us the necessary initial speed directly.
Plugging 2.5m into the range equation R = v^2 / g and solving for v, we find that v = sqrt(R × g). Hence, v = sqrt(2.5 × 9.8), which calculates to approximately 4.95 m/s. Therefore, the dart must be thrown at a speed of roughly 4.95 m/s to hit the bull's eye.
Why is symmetry important in an aircraft?
The mass of an object relates to __________
What is the mid-atlantic ridge? how many miles does it stretch?
When car tires are on hot pavement for too long, the pressure inside will ___________ and the volume within the tire will _____________. A) increase; decrease due to deflation B) decrease; remain unchanged C) increase; increase and possibly result in a blowout D) increase; remain unchanged as long as the temperature is constantly rising
When on hot pavement, car tire pressure and volume increase possibly leading to a blowout, hence the correct answer is option c.
When car tires are on hot pavement for too long, the pressure inside will increase and the volume within the tire will increase and possibly result in a blowout. This happens because as the temperature of the pavement increases, so does the temperature of the air inside the tire, causing the pressure to rise. If the pressure gets too high, it can lead to a blowout due to excessive pressure.
A tennis ball, a bowling ball, and a feather are dropped from the top of a tall building at the same time. Consider what you have learned about air resistance. Which object reaches the ground first?
What are 3 ways scientists can take to reduce bias?
Which of the following solid fuels has the highest heating value?
A. Coke
B. Bituminous coal
C. Wood
D. Lignite
Bituminous coal has the highest heating value. Option (B) is correct.
What is heating value of fuels?The amount of heat produced by the combustion of fuel or another substance in a given unit quantity is known as the heating value. Two categories of heating values exist:
The difference between combustion and the latent heat of vaporization of the water vapors produced by burning results in the lower heating value (net).The heat produced by a substance's complete combustion is known as its upper heating value (gross).The elemental composition of the fuel burned influences the difference between the higher and lower heating value.
As in the given coke, bituminous coal, wood, lignite, bituminous coal has the greatest amount carbon. Hence, bituminous coal has the highest heating value. Hence, option (B) is correct.
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Quantum particles acting as a wave or matterr?
What is the purpose of strip cropping? a. prevent soil erosion b. maintain nutrient levels c. reduce plant disease d. all of the above
The purpose of strip cropping is to prevent soil erosion.
What is strip cropping?Strip cropping involves cultivating a field partitioned into long, narrow strips following the natural contours of the terrain to prevent wind and water erosion of the soil.
Apart from improving fertility of soil, strip cropping reduces soil erosion. Due to the strip of soil in between the crops, erosion of wind and water is prevented as the strip in between serves as a break in the movement of both water and wind.
What is soil erosion?Soil erosion is a process of movement and transport of the upper layer of soil also called topsoil by different agents particularly water, wind, and mass movement causing its deterioration in the long term.
Soil erosion decreases soil fertility, which can negatively affect crop yields.
The preventive measures should be taken for soil erosion. Some of them are
Plant trees on barren lands to limit erosion of soil.Preventing excessive grazing.Mulch matting can be used to reduce erosion on the slopes.Prevention of deforestation.Thus, Strip cropping method is used when a slope is too steep or too long, or otherwise, when one does not have an alternative method of preventing soil erosion.
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Gravity is greater when there is
Select one:
A. equal mass and more distance between two objects.
B. less mass and less distance between two objects.
C. more mass and less distance between two objects.
D. more mass and more distance between objects.
True or false a solid object can cast a shadow
The acceleration due to gravity on the surface of Mars is about one third the acceleration due to gravity on Earth’s surface. The weight of a space probe on the surface of Mars is about _____.
Answer:
[tex]\frac{2}{5}[/tex]
Explanation:
Thinking process:
The weight of an object if defined as the gravitational pool on the object. This is the force that pulls an object downward. This is given as follows:
[tex]W = mg[/tex]
where w = weight (gravitational pull)
m = mass of the object (kg)
g = acceleration due to gravity (m/s²)
The acceleration due to gravity on Mars is about 3.924 m/s². This is [tex]\frac{2}{5}[/tex] of the acceleration on the earth.
Therefore, the weight of the object on Mars will weigh 2/5 of what it weighs on earth.
When is steven universe coming back 2017?
its in july now too and we see a peek of ~WHITE DIAMOND~