A ball is allowed to roll from rest down an inclined plane, and the distances are marked every 1.7 s. the the second mark is made 1.4 m from the starting point. where is the first mark?
Answers
the first mark is approximately 1.026 meters from the starting point along the inclined plane.
To determine the location of the first mark, we need to analyze the motion of the ball rolling down the inclined plane. Given that the distances are marked every 1.7 seconds and the second mark is made 1.4 meters from the starting point, we can calculate the distance traveled by the ball in 1.7 seconds.
The key information needed to solve this problem is the acceleration of the ball due to gravity (g) and the time (t) interval.
Using the equations of motion for constant acceleration, we have:
d = v₀t + (1/2)at²
Since the ball starts from rest (v₀ = 0), the equation simplifies to:
d = (1/2)at²
We can rearrange this equation to solve for the acceleration (a):
a = (2d) / t²
Substituting the given values:
d = 1.4 m
t = 1.7 s
a = (2 * 1.4) / (1.7)²
≈ 0.905 m/s²
Now that we know the acceleration, we can calculate the distance traveled in the first 1.7 seconds:
d₁ = (1/2)at²
= (1/2) * 0.905 * (1.7)²
≈ 1.026 m
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Related Questions
show that the following functions are solutions of the wave equation ztt = c2(zxx zyy). (a) x2 −y2 (b) cos(ct)cos(x) (c) cos(ct)sin(y) (d) sin( √ 2ct)cos(x y)
Answers
(a) The function x² - y² is a solution of the wave equation\(ztt = c²(zxx + zyy).\)
(b) The function cos(ct)cos(x) is a solution of the wave equation\(ztt = c²(zxx + zyy).\)
(c) The function cos(ct)sin(y) is a solution of the wave equation\(ztt = c²(zxx + zyy).\)
(d) The function sin(√2ct)cos(x + y) is a solution of the wave equation\(ztt = c²(zxx + zyy).\)
How to find the solutions of wave equation?The wave equation ztt = c²(zxx + zyy) describes the behavior of waves in a medium, where z represents the displacement, t represents time, x represents the spatial coordinate in the x-direction, y represents the spatial coordinate in the y-direction, and c represents the wave speed.
To determine if the given functions are solutions of the wave equation, we need to substitute them into the equation and verify if the equation holds true.
(a) Substituting z = x² - y² into the wave equation, we find that the partial derivatives with respect to time and spatial coordinates satisfy the equation, thus making x² - y² a solution.
(b) Substituting z = cos(ct)cos(x) into the wave equation, we again find that the partial derivatives satisfy the equation, confirming that cos(ct)cos(x) is a solution.
(c) Substituting z = cos(ct)sin(y) into the wave equation, we find that the partial derivatives satisfy the equation, indicating that cos(ct)sin(y) is a solution.
(d) Substituting z = sin(√2ct)cos(x + y) into the wave equation, we observe that the partial derivatives also satisfy the equation, demonstrating that sin(√2ct)cos(x + y) is a solution.
Therefore, all four given functions (a), (b), (c), and (d) are solutions of the wave equation \(ztt = c²(zxx + zyy).\)
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67.0mi/hr to m/s
please show work
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NEED ASAP
WILL GIVE YOU 100 BRAINLY
The far point of a nearsighted person is 100 cm. What power glasses must they use to correct this problem and be able to see signs while driving?
Answers
Answer:
I need help with this
Explanation:
Indications of past climates in tree rings are determined by examination of the: a. thickness of growth rings. b. density of growth rings. c. presence of frost rings. d. all of these e. thickness and density of growth rings only.
Answers
The answer is d. all of these. Tree rings provide valuable information about past climates as they grow in response to the environmental conditions of their surroundings.
The thickness of growth rings is affected by factors such as temperature, precipitation, and soil moisture, and can indicate the overall climate conditions during the growing season. The density of growth rings is also influenced by these factors, and can provide information on the severity of drought or other environmental stresses.
Additionally, the presence of frost rings, which are formed when a tree is damaged by frost, can provide evidence of past cold weather events. By analyzing all of these factors together, scientists can gain a comprehensive understanding of past climate conditions, which can inform our understanding of climate change and its potential impacts on the environment.
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Two carts collide and bounce apart. Cart 1 had a momentum of –6 kg • m/s before the collision. Cart 2 had a momentum of 10 kg • m/s before the collision.
What is the total momentum of the carts after the collision?
–16 kg • m/s
–10 kg • m/s
4 kg • m/s
10 kg • m/s
Answers
Answer:
4 kg m/s
Explanation:
When finding momentum after a collision, you can just add the momentums together, this would be 10 kgm/s -6 kgm/s to get 4 kgm/s
The total momentum of the carts after the collision is 4 kgm/s.
What is momentum?The momentum of an object is the product of mass and velocity of the object.
P = mv
Total momentum of the cartsThe total momentum of the carts is calculated as follows;
P = P₁ + P₂
P = -6 + 10
P = 4 kgm/s
Thus, the total momentum of the carts after the collision is 4 kgm/s.
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Discovering outer space had been an ancient goal of humanity. The first rocket launched ever was by the
American college professor and scientist Robert Goddard who built and flew the world's first liquid propellant
rocket on March 16, 1926. Its flight, though unimpressive (it climbed only 12.5 meters), was the forerunner of
the Saturn V Moon rocket 43 years later. Answer the following question using your math and science skills.
While launching a rocket into space, the rocket thrust (force) is calculated to be 20,000 N.
OOD
a) The mass of the rocket is approximately 3,000 kg, what would be the acceleration of the launched rocket?
b) The rocket starts from rest, what would be the final speed after 5 min?
Answers
The earliest known observations of the night sky date back to ancient civilizations such as the Babylonians, Egyptians, and Chinese, who recorded the positions of stars, planets, and other celestial bodies.
Explain about goal of humanity:Discovering outer space has been a goal of humanity for centuries. Throughout history, people have looked to the stars with a sense of wonder and curiosity, trying to understand the nature of the universe. a) To calculate the acceleration of the launched rocket, you can use the formula:However, it wasn't until the 20th century that humans were able to physically explore space. With the development of rocket technology, scientists were able to launch spacecrafts beyond Earth's atmosphere, allowing for the study of celestial bodies and the exploration of the Solar System and beyond.a = F / m
where F is the force (thrust) acting on the rocket and m is the mass of the rocket.
In this case, F = 20,000 N and m = 3,000 kg
So, a = 20,000 N / 3,000 kg = 6.67 m/s²
b) To calculate the final speed of the rocket after 5 minutes, you can use the formula:
v = a * t
where v is the final speed, a is the acceleration and t is the time.
In this case, a = 6.67 m/s² and t = 5 minutes = 300 seconds.
So, v = 6.67 m/s² * 300 seconds = 2,001 m/s
It's worth noting that the acceleration and final speed calculations are assuming that the rocket thrust is constant during the entire flight, which is not the case in reality, thrust changes during different stages of the rocket's flight.To learn more about goal of humanity refer to:
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Find the magnitude of the sum of these two vectors: B 101 m 60.0 ° 85.0 m A
Answers
Answer:
M= 161.1 m Deg= 32.9
Explanation:
Which arrow is the action and which arrow is the reaction?
Answers
help please 10 pts and quick!
Answers
Explanation: as you can see it would be a 50/50 chance because there is 2 for each hope this helps(:
8.
A stunt performer, standing at the edge of a 10 m high
building, jumps off and lands on a trampoline (a type of
spring. ) The trampoline brings him to a stop at ground level.
(Middle situation) The trampoline then bounces him 5 m in the
air. (Final situation).
Answers
The given information provided in the question can be computed as follows:
According to the information we know, H won't be equal to 10. It is 0.9 in value. They will be eager to reach 0.9 times 10, which will be equivalent to nine, because it will be equal to 0.9 times H not. 9.2 times nine is equal to H sub two. Eight Sub Two is identical to H Sub 3. 0.8 times 8.1, therefore. This is going to equal 7.29.
The first four terms will be 10.9, 8.1, 7.29, and 9. When specific formulas are beat apart. is going to be equal to 10 and then multiply that by simply 9/10 at the appropriate moment, 0.9 at the finish, and so forth. The value of four is 0123. Four is equal to 0123 and so on, and we have 10 times to the N.
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2. What best describes the radiation emitted from the sun?
A. It travels at different speeds
B. It is made up of one type of electromagnetic wave
C. It is made up only of yellow light
D. It is made up of different frequencies of light
Answers
Answer:
Electromagnetic radiation
put B !
Explanation:
Radiation from the Sun The sun gets its energy from the process of nuclear fusion. This energy eventually makes its way to the outer regions of the sun and is radiated or emitted away in the form of energy, known as electromagnetic radiation.
Molecular nitrogen (N2) has 14 electrons, so this
structure of N2 is correct and complete.
False
True
Answers
The twisting force an object exerts on a see-saw is called torque (τ). How do you think the torque depends on the distance of object a from the fulcrum?
Answers
The torque produced is given by:
\($\tau=r \times F=r F \sin \theta$\)
- The SI unit of torque is \($\mathrm{N}-\mathrm{m}$\)
The cross product of a force and a distance perpendicular to a rotational axis is torque.
The perpendicular distance between a fixed point and the force's path of action is known as the moment arm of a force system.
So torque is dependent on both force and moment arm.
What is torque?
The force that may cause an item to revolve along an axis is measured as torque. Similar to how force accelerates an item in linear kinematics, torque accelerates an object in an angular direction. A vector quantity is a torque.The torque is the product of the force acting on a lever and the distance from the lever's fulcrum. For instance, the torque produced by three newtons of force applied two meters from the fulcrum is equal to one newton of force applied six meters from the fulcrum.To learn more about torque visit:
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What is the mass of a cart that has an acceleration of 5 m/s2 when a net force of 200 N is applied to it?*
Answers
Answer:
40 kg
Explanation:
F = ma
200N = m x 5 m/s²
m = 200/5 = 40 kg
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GIVE ME DAT GOOD STUFF.
An object of height 2.3 cm is placed 27 cm in front of a diverging lens of focal length 17 cm. Behind the diverging lens, and 11 cm from it, there is a converging lens of the same focal length. A 50% Part (a) Find the location of the final image, in centimeters beyond the converging lens. A 50% Part (b) What is the magnification of the final image? Include its sign to indicate its orientation with respect to the object.
Answers
(a) The location of the final image beyond the converging lens is 12.67 cm.
(b) The magnification of the final image is -0.82, indicating that it is inverted with respect to the object.
To find the location of the final image, we can use the lens formula for thin lenses, which is given by 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance.
For the diverging lens, u = -27 cm (since the object is in front of the lens), and f = -17 cm (negative for diverging lens). Using the lens formula, we find v1 = -153 cm.
For the converging lens, the object distance is -11 cm (since it is behind the diverging lens), and f = 17 cm. Using the lens formula again, we find v2 = 12.67 cm.
The magnification of the final image can be calculated using the formula magnification = v2/v1, which gives us -0.82. The negative sign indicates that the image is inverted with respect to the object.
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The average Earth-Moon distance is approximately 3.84x10^5 km, how far is that in mm? Use the 5.7899x10^6mm style format for entering your answer. No spaces between characters. Do not forget the units.
Answers
The average Earth-Moon distance is approximately 3.84x10^5 km. To convert this value to millimeters, we need to multiply it by the conversion factor that represents the number of millimeters in a kilometer. Since there are 1,000,000 millimeters in one kilometer, we can perform the following calculation:
3.84x10^5 km * 1,000,000 mm/km = 3.84x10^5 * 10^6 mm = 3.84x10^11 mm.
Therefore, the average Earth-Moon distance is approximately 3.84x\(10^11\) mm when using the 5.7899x\(10^6\)mm format.
To explain further, the conversion from kilometers to millimeters involves multiplying the given distance by a conversion factor. In this case, we use the conversion factor of 1,000,000 mm/km because there are 1,000,000 millimeters in one kilometer. When we multiply the given distance of 3.84x\(10^5\) km by the conversion factor, the kilometers cancel out, leaving us with the distance in millimeters.
The scientific notation is used to represent large numbers or small numbers conveniently. In this case, the answer is presented in scientific notation as 3.84x\(10^11\) mm, which means 3.84 multiplied by 10 raised to the power of 11. This notation allows us to express the large value in a concise and standardized format.
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Confused about this question. Can someone help? :)
Answers
Answer:
1 it could have been the way he put them in and 2it could be the directions there in.
What is the force exerted on a charge of 2. 5 µC moving perpendicular through a magnetic field of 3. 0 × 102 T with a velocity of 5. 0 × 103 m/s? 3. 8 N 38 N 3. 8 × 105 N 3. 8 × 106 N.
Answers
The force acting on a moving charge is known as the magnetic force. The force acting on the charge will be 3.75 N.
What is the force exerted on the charge?Magnetic fields only exert a force on a moving electric charge. A moving charge generates a magnetic field. With an increase in charge and magnetic field strength, this force rises.
when charges have higher velocities, the force is stronger. However, the magnetic force is always perpendicular to the velocity.
Mathematically the force exerted on the charge will be
F=qvBsinα
F= force acting on the charge
v = velocity of charge
q = charge
F=qvBsinα
F=2.5×10⁻⁶×5.0×10³×3.0×10²
F=37.5 N
Hence The force acting on the charge will be 3.75 N.
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F = q V B sinα
Where F is the force applied to a moving charge.
V = charge velocity
q stands for charge.
α = angle between V and B directions
As a result, the moving charge is subjected to a force of 3.75 Newton.
A student writes: “When I rub my dry hands together on a cold morning, they warm up. However, when I repeat this with soapy water my hands don’t warm up as much.” Explain these observations by considering the energy stores and transfers involved.
Answers
Answer:
Its not getting as hot because water and soap can act as a lubricant and it would not heat up easily because of the soapy water.
Answer:
there is less friction when your hands are soapy
Explanation:
Two beakers are at the same temperature. One beaker has more water than the other. Which one contains more heat? Explain why.
Answers
Answer:
I would say the beaker with less water.
Explanation:
I was say this because while they are the same temperature the beaker with more water still has to fluctuate the heat or cold. They do this at the same speed but since there is less water in one beaker it finishes faster where as the beaker with more water will finish later.
Describe how could you use an electromagnete to sort a mixture of iron and copper pieces into two seprate piles of iron and copper
Answers
Answer:
Electromagnetic cranes are used to separate copper from iron in a scrap yard. The current is switched on to energies the electromagnet and pick up the iron pieces from the scrap. Then these iron pieces are moved to another position, the electromagnet in switched off and the iron pieces are released.
Explanation:
How do you think an object's mass relates to its weight?
Answers
Explanation:
w = m.g
g is Gravity acceleration . on surface of Earth it's
9.8 m/s² ≈ 10 m/s²
1.
Which of the following process is /are evaporation process
Answers
The primary pathway that water moves from liquid state back into the water cycle as atmospheric water vapor.
using the method of -substitution, where (enter a function of ) (enter a function of ) (enter a number) (enter a number) (enter a function of ).
Answers
Explanation of how to solve a problem using the method of substitution. Please provide the problem that you need help with so that I can provide a detailed explanation.
Here is the general process for solving a problem using the method of substitution.
Step 1: Identify the function that can be expressed in terms of the other function.
Step 2: Express one of the variables in terms of the other by rearranging the equation.
Step 3: Substitute the expression for the variable in terms of the other variable into the other equation.
Step 4: Simplify the equation by combining like terms and solve for the remaining variable.
Step 5: Use the value of one of the variables to find the value of the other variable.
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Object A represents fixed negatively charged particle and Object B represents fixed. positively-charged particle. Object ( shows a
moving positively charged particle. Identify which arrow would correctly show the force of attraction or repulsion on object C caused
by the other two objects?
Answers
Answer:
Moving electrons by cringing the object near another charged object ... This means that there is a different number of protons and electrons ... the attraction or repulsive electrostatic force between positive and negative charges ... the amount of charge on the particle and the distance between the particles ... fixed in position.ation:
Select the correct answer. If the resistance remains constant and the voltage doubles, what effect will that have on the power? A. The power will remain the same. B. The power will decrease by a factor of 2. C. The power will decrease by a factor of 4. D. The power will increase by a factor of 2. E. The power will increase by a factor of 4.
Answers
If the resistance remains constant and the voltage doubles, the power will increase by a factor of 4 (option E)
How do i determine the new power?The following data were obtained from the question:
Initial power (P₁) = PInitial voltage (V₁) = VResistance = ConstantNew voltage (V₂) = 2VNew power (P₂) =?P = V² / R
Resistance is constant, we have
V₁² / P₁ = V₂² / P₂
V² / P = (2V)² / P₂
V² / P = 4V² / P₂
Cross multiply
V² × P₂ = P × 4V²
Divide both side by V²
P₂ = P × 4V² / V²
P₂ = P × 4
From the above, we can conclude that the power will increase by a factor of 4 (option E)
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after a high mass star leaves the main sequence, it will become a
Answers
After a high-mass star leaves the main sequence, it will become a red supergiant star. A high-mass star is a star that has a mass of eight or more times the mass of the sun.
A red supergiant star is a star that has a radius that is several times larger than that of the sun and a luminosity that is thousands of times larger than that of the sun. After a high-mass star leaves the main sequence, it will go through a series of phases before it becomes a red supergiant star. These phases include the subgiant phase, the red giant phase, and the horizontal branch phase. During the subgiant phase, the core of the star has exhausted the hydrogen fuel and is beginning to contract while the outer envelope is still expanding.
As the star continues to evolve, it enters the red giant phase. During this phase, the outer envelope of the star expands even further and cools, which causes the star to become redder in colour. The core of the star continues to contract, which causes the temperature and pressure to increase, and this triggers the next stage in the star's evolution.
Eventually, the core of the star reaches a temperature and pressure where it can begin to fuse helium into heavier elements. This marks the beginning of the horizontal branch phase, which lasts for a relatively short time. After this phase, the star will expand again and become a red supergiant star. During this phase, the star will be several times larger than its original size, and it will be much brighter.
In conclusion, a high-mass star will become a red supergiant star after leaving the main sequence. This evolution involves a series of phases, including the subgiant phase, the red giant phase, and the horizontal branch phase. The red supergiant phase is the final stage in the evolution of high mass stars, and it is characterized by a star that is several times larger than its original size and much brighter.
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What are the two parts of the SCM
A. Sternal head, Lateral Head
B. Bilateral Head, Long Head
C. Sternal Head, Clavicular Head
helpp me please
Answers
Answer:
C. Sternal Head, Clavicular Head
apple seeds contain a compound that forms cyanide when it comes into contact with enzymes in the digestive system. according to the cdc, a fatal dose of cyanide for humans is 1.8mg/kg bw. you measure 2.0mg of cyanide in a single, crushed-up apple seed. how many apple seeds would be ingested to reach this level the threshold dose? (again assume that the average body mass in kg is 62).
Answers
It would take approximately 56 apple seeds to reach the fatal dose of cyanide for an average human.
Apple seeds contain a compound called amygdalin, which can break down into hydrogen cyanide when it comes into contact with enzymes in the digestive system. Cyanide is a highly toxic substance that can interfere with the body's ability to use oxygen, leading to serious health problems and even death.
The CDC has established a fatal dose of cyanide for humans at 1.8 mg/kg body weight. This means that if a person ingests more than this amount of cyanide per kilogram of their body weight, it can be lethal.
If we assume that an average human weighs 62 kg, then the fatal dose of cyanide for that person would be:
1.8 mg/kg bw * 62 kg = 111.6 mg of cyanide
If we measure the amount of cyanide in a single apple seed and find that it contains 2.0 mg of cyanide, we can calculate how many apple seeds would need to be ingested to reach the fatal dose of cyanide for an average human:
111.6 mg / 2.0 mg per seed ≈ 55.8 seeds
It is important to note that ingesting even a small number of apple seeds is not recommended, as the toxic effects of cyanide can still occur at lower doses. It is best to avoid consuming apple seeds altogether and to discard them properly to prevent accidental ingestion.
Therefore, it would take approximately 56 apple seeds to reach the fatal dose of cyanide for an average human.
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Think about the physical activities that you have done as a part of this course. Describe a time during one activity in which a competitor displayed good sportsmanship toward you.
Answers
The activity in which a competitor displayed good sportsmanship towards me was during a football match.
What is Sportsmanship?This is an ethics or attitudes that show respect for the rules of a game and for the other players.
Sportsmanship was shown when i lost the deciding penalty and was consoled by the opponent.
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