If the system is operated on mars, through what distance would the 15. 0 kg mass have to fall to give the same amount of kinetic energy to the drum?.
Answers
The required distance through which the 15.0 kg mass has to fall to give the same amount of kinetic energy to the drum on Mars is 8.08 meters.
According to the principle of conservation of energy, this kinetic energy is equal to the kinetic energy that the drum gains, which is given by,K = (1/2) Iω²
Here, I = moment of inertia of the drumω = angular velocity of the drum.
From the equation (1) and (2), we have,(1/2) mv² = (1/2) Iω²....(3)From the above equation (3), we get
h = v² / 2gwhere g is the acceleration due to gravity of Mars.
The velocity of the mass just before striking the drum can be found as,
Total energy at height, mgh = mgh + (1/2) mv² + (1/2) Iω²where,mgh = potential energy at height
mh = (15.0 kg)(9.81 m/s²)(1.0 m) = 147.15 J (potential energy at height)I = (1/2) MR²
= (1/2) (25.0 kg) (0.050 m)²
= 0.0156 kg·m² (moment of inertia of the drum)r = radius of the drum = 0.050 mv = velocity of the mass just before striking the drum
v = √(2gh + (Iω²) / m)v = √[(2 × 147.15 J + (0.0156 kg·m² ω²) / 15.0 kg]
At the bottom of the drop, all the potential energy is converted into kinetic energy.
Therefore, the kinetic energy of the mass when it strikes the drum is,
K = (1/2) mv²K = (1/2) (15.0 kg) [√(2gh + (Iω²) / m)]²K = (1/2) (15.0 kg) [√(2 × 9.81 m/s² × h + (0.0156 kg·m² ω²) / 15.0 kg)]²
Now, substituting the values in the above equation, we get:h = (2K / m g) - I ω² / (2 m² g)Put the given value of mass m and g of mars.
Then, the distance through which the 15.0 kg mass has to fall to give the same amount of kinetic energy to the drum is given by,h = (2 × 500 J / (15.0 kg) (3.71 m/s²)) - 0.0156 kg·m² ω² / (2 × (15.0 kg)² (3.71 m/s²))= 8.08 meters (approximately)
Hence, the required distance through which the 15.0 kg mass has to fall to give the same amount of kinetic energy to the drum on Mars is 8.08 meters.
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Related Questions
A ball rolls 14.4 m in 12 12 sec. what is the speed
Answers
Answer:
1.2 mph
Explanation:
14.4 ÷ 12 = 1.2
What are the standard units of length, mass, volume, and temperature in the metric system?
Answers
The conventional units for length are meters, grams, liters, and degrees Celsius for temperature.
What is the scientific definition of temperature?Temperature is a measure of how much an object's ions' particle power rises. These particles move at an increased speed when the temperature rises. To measure the temperature, use a thermometer or a calorimeter.
Does temperature have a role in physics?Physics' study of heat and temperature is known as thermodynamics. The laws of thermodynamics regulate the flow of energy throughout the cosmos. They are investigated throughout a wide range of technical and scientific fields, including as chemistry, geology, and meteorology.
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Which object has the most potential energy...
ASAP
Answers
what is the work done by a horizontal spring (spring constant k) expanding from a compression distance x to an extension distance of x to an attached mass?
Answers
Answer: The work done by a horizontal spring with spring constant k expanding from a compression distance of x to an extension distance of x due to an attached mass is kx².
Explanation:
When a spring expands or compresses, it does work on the object attached to it. The work done by a spring on an object is given by the formula:
W = (1/2) k (x₂² - x₁²)
where W is the work done by the spring, k is the spring constant, x₁ is the initial compression distance, and x₂ is the final extension distance.
In the given scenario, the spring is expanding from a compression distance x to an extension distance of x due to an attached mass. The initial compression distance is x₁ = -x, and the final extension distance is x₂ = x. Therefore, the work done by the spring is:
W = (1/2) k (x₂² - x₁²) = (1/2) k [(x)² - (-x)²] = (1/2) k (2x²) = kx²
Hence, the work done by a horizontal spring with spring constant k expanding from a compression distance of x to an extension distance of x due to an attached mass is kx².
i need help with this lab. i have to answer the lab questions 4-10. i will upload the graphs u need to use. someone please answer these questions. i will upload the pictures in different questions because it won’t let me upload 3…
Answers
The speed of an object is the rate of change of its position, and the object's velocity includes its speed as well as its direction of motion. The rate of change of the object's velocity gives the acceleration.
Explain Speed,Velocity and Acceleration?When an object's reference frame is chosen, its motion can be precisely characterized. The pace at which an object's position changes while it is moving is referred to as speed. The object's speed indicates how quickly or slowly it is going. But which way is the item traveling? The velocity of an object includes information about its direction of motion. The rate of change of an object's velocity, or the change in velocity per unit of time, is known as its acceleration.
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If you and two other friends concurrently pull on
an object with the same force, each spread out
evenly, like in the diagram, describe what would happen!
Answers
If two friends simultaneously pull on an object with the same force, each spreading out evenly, then the object will move in a particular straight direction where the force is pulling.
What is the significance of the force?force is applied to a substance, and as a result, the displacement of an object is seen, which affects the directions and the movement of the substance, such as when a high-intensity force changes the velocity more while a lower-intensity force leads to a low velocity.
Hence, if two friends simultaneously pull on an object with the same force, each spreading out evenly, then the object will move in a particular direction where the force is pulling.
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Which of the following is NOT required to maintain healthy soil? Maintaining soil water levels, Maintaining aeration, Maintaining organic matter content, Maintaining diverse microbial communities
Answers
Answer: Which of the following is NOT required to maintain healthy soil?
Maintaining soil water levels
Maintaining aeration
Maintaining organic matter content
Maintaining diverse microbial communities
ANSWER: A
To maintain healthy soil we need not to maintaining soil water levels.
What is healthy soil?When a soil performs its range of ecological tasks in an adequate manner for its surroundings, it is said to be in good health. In more everyday language, the health of soil results from the harmonious interactions of all soil constituents, such as bacteria, plants, and animals. Aggregates in healthy soil help it stick together and resist runoff and erosion. Plants survive better in droughts because it can hold more water. It has more bacteria and fungi, which aid plants in warding against pests and disease.
Add organic matter.Incorporate compost to compacted soil to increase air, water and nutrients for plants.Protect topsoil with mulch or cover crops.Don't use chemicals unless there's no alternative.Rotate cropsTo maintain healthy soil we need not to maintaining soil water levels.
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What is the IMA of the following pulley system?
Answers
Answer ideal mechanical advantage
is wooden blocks transparent,translucent or opaque
Answers
Answer:
opaque
Explanation:
Materials such as wood, stone, and metals are opaque to visible light.
What is the surface area if the shape?
Answers
Explanation:
Fourteen yard (14) yard
reinvention refers to the ability and degree to which the status quo can be reinstated by ceasing to use the innovation. t/f
Answers
False. Reinvention refers to the process of transforming or modifying something in a significant way, often with the goal of improving or changing it fundamentally.
It does not imply reinstating the status quo by ceasing to use innovation. Reinvention typically involves making substantial changes, adopting new approaches, or introducing innovative ideas to bring about transformation or improvement in various aspects of life, such as technology, business, or personal development. It is about embracing change and exploring new possibilities rather than reverting back to the previous state.
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Calculate acceleration of a turtle going from 0.3 m/s to 0.7 m/s in 30 seconds.
Answers
Answer:
acceleration = 0.013 m/s²
Explanation:
formula for acceleration is
a = (v-u) / t
a= (0.7-0.3) / 30
= 0.013
The acceleration of a turtle going from 0.3 m/s to 0.7 m/s in 30 seconds is 0.0133m/s²
Acceleration is defined as the change in velocity of a body with respect to time. Mathematically:
\(a=\frac{v-u}{t}\)
v is the final speed = 0.7m/s
u is the initial speed = 0.3m/s
t is the time taken = 30seconds
Substitute the given values into the formula:
\(a=\frac{0.7-0.3}{30}\\a=\frac{0.4}{30}\\a = 0.0133m/s^2\)
Hence the acceleration of a turtle going from 0.3 m/s to 0.7 m/s in 30 seconds is 0.0133m/s²
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Calculating the Magnitude of the Resultant Vector
R
13 m
5m
What is the magnitude of the resultant vector? Round
your answer to the nearest tenth.
m
Answers
The magnitude of the resultant vector is 13.9m.
The size of the resulting vector can be determined using the Pythagorean theorem. As you can see from these two examples, the result of adding three or more rectangular vectors is easy to determine using the Pythagorean theorem. The vectors should be added in a different order. Equation 2 Subtracts the vectors in opposite directions from each other to get the resulting vector.
Where vector B is in the opposite direction to vector A and R is the resulting vector. The resulting vector is defined as a single vector that produces the same effect as many vectors produced together. The size of a vector is the length of the vector. The absolute value of vector a is represented by |a|. For more information on vector sizes, see Vectors overview. The formulas for the sizes of 2D and 3D vectors in terms of coordinates are derived on this page.
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a man runs 300m west in 60 seconds. he then runs 100 m north west in 20 second what is his average velocity in the meter per second
Answers
Answer:
Average velocity = 100/3 m/s....................
what makes global winds curve rather than move in a straight line?
Answers
Answer:
because the Earth rotates, circulating air is deflected. Instead of circulating in a straight pattern, the air deflects toward the right in the Northern Hemisphere and toward the left in the Southern Hemisphere, resulting in curved paths. This deflection is called the Coriolis effect.
Which of the following are advantages of
assessments? Check all that apply.
They can provide an accurate picture of
someone's personality.
They may be used to target salary increases.
They can be used to target employee training.
They may lead to increased patience.
They may lead to lower turnover rates.
Answers
Answer:
A. They can provide an accurate picture of someone’s personality.
C. They can be used to target employee training.
E. They may lead to lower turnover rates.
Explanation:
A. They can provide an accurate picture of someone’s personality and C. They can be used to target employee training, E. They may lead to lower turnover rates.
What are assessments?The phrase "assessment" refers to the broad range of techniques or instruments that educators employ to assess, gauge, and record pupils' academic preparedness, learning progress, skill development, or educational requirements.
Education professionals use a wide range of assessment tools and methods to gauge everything from a four-year-readiness old's for kindergarten to a twelfth-grade student's comprehension of advanced physics.
Despite the fact that assessments are frequently mistaken for traditional tests, particularly the standardized tests created by testing companies and given to large populations of students, educators use a variety of assessment tools and methods.
Therefore, A. They can provide an accurate picture of someone’s personality and C. They can be used to target employee training, E. They may lead to lower turnover rates.
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!!HELP PLEASE ILL GIVE BRAINLEST !!
The chemical formula for water, H2O, means that each water molecule contains
a) two hydrogen atoms and zero oxygen atoms.
b) two hydrogen atoms and two oxygen atoms.
c) two hydrogen atoms and one oxygen atom.
d) one hydrogen atom and two oxygen atoms.
Answers
Answer:C
Explanation:
Answer:
c is the correct one......
The mass of each loaf of bread produced by a bakery follows a normal distribution with the mean of 400g and standard deviation of 18g. Find the probability that a loaf of bread chosen at random will have a mass of more than 450g.
Answers
The probability that a loaf of bread chosen at random will have a mass of more than 450g is 0.0026 or 0.26%.
The probability that a loaf of bread chosen at random will have a mass of more than 450g is found by first standardizing the random variable, using the standard normal distribution. We can then use the standard normal table or calculator to find the area to the right of the standardized value. The standardized random variable can be found using the formula
Z = (X - μ) / σ,
where X is the given value, μ is the mean, and σ is the standard deviation.
Substituting the given values, we get:
Z = (450 - 400) / 18 = 2.78
Using the standard normal table or calculator, we can find the area to the right of 2.78. This area represents the probability that a loaf of bread chosen at random will have a mass of more than 450g.
Using a standard normal table or calculator, we find that this area is 0.0026 or 0.26%.
Hence, the probability that a loaf of bread chosen at random will have a mass of more than 450g is 0.0026 or 0.26%.
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A 1.70 m long string has a standing wave with 2 loops at a frequency of 38.4 Hz. What is the speed of the waves in the string? (Unit = m/s)
Answers
Answer:65.28
Explanation:
A long string has a standing wave with 2 loops at a frequency. The speed of the waves in the string is 65.28 m/s
What is frequency?The frequency is the number of cycles completed per second.
Given the length of the string l = is 1.70 m, no of loops n =2, frequency of wave f =38.4 Hz, then the speed of the waves is
f = nv /2l
Substitute the following values, we get
v = 38.4 x 2 x 1.70 / 2
v =65.28 m/s
Thus, the speed of the waves in the string is 65.28 m/s.
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which scientist first theorized that matter was ultimately composed of small indivisible particles called atoms
Answers
Leucippus and Democritus were the first to postulate that matter was made up of tiny, unbreakable particles. These Greek philosophers proposed the idea that atoms, or atomic particles, were the fundamental building blocks of all matter.
Democritus proposed that the universe is made up of small, indivisible solid substances he termed "atom" 2,500 years ago. Democritus' "atoms" idea, however, was despised by other Greek philosophers because they thought it was nonsensical.
The first scientific theory to link chemical changes to the composition, characteristics, and behavior of the atom is Dalton's Atomic Theory. These are the main principles of this theory:
Atoms are the incredibly minuscule building blocks of all stuff.A given element's atoms are all the same size, mass, and other characteristics. Distinct elements' atoms have different mass, size, and other characteristics.Atoms can never be divided, produced, or eliminated.Chemical compounds can be created by combining atoms of various elements in straightforward whole number ratios.Since the discovery of radioactivity, the idea that atoms are unbreakable has been called into question. The fact that atoms can be divided into subatomic particles was discovered (such as protons, neutrons and electrons). Only in chemical reactions, where whole number ratios are used for reaction, are atoms indestructible.
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5. The speed of a car is 15m/s. Its speed in km/h is *
Answers
Answer:
54 Km per hour..
Explanation:
Multiply the speed value by 3.6
15m/s=15*3.6
=54km/hr
What are some questions engineers should ask when researching a problem?
Who will this help?
How long will it take to get it right?
What a materials can be used to solve the problem?
How much will the project cost?
Answers
Answer:
is this a check all that apply or a single answer?
What is mastering physics whit Pearson?
Answers
Mastering Physics with Pearson is an online platform designed to support and enhance the learning experience for students enrolled in physics courses
Mastering Physics with Pearson is an online platform developed by Pearson Education to support and enhance the learning experience of students enrolled in physics courses. It provides a range of interactive tools and resources that help students build their understanding of physics concepts and develop problem-solving skills.
The platform includes a variety of features such as interactive simulations, tutorials, videos, and quizzes. It also provides access to a large library of physics problems and solutions that students can use to practice and test their understanding of the material.
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if a ship weighs 52,000 tons and is in isostatic equilibrium when 6,000 tons of cargo is added, what is the total mass of water that will be displaced by the ship after the cargo is added?
Answers
If a ship weighs 52,000 tons and is in isostatic equilibrium when 6,000 tons of cargo is added, the total mass of water that will be displaced by the ship after the cargo is added is (M)= 58000 tons.
What is weight?The weight is term that means that by how much gravitational force earth going to attract that object. It can be shown easily, W=mg. It is a vector quantity. It can be measured in kg.m/s²
How can we calculate the mass?To calculate the mass we are using the formula,
M=m₁+m₂
Here we are given,
m₁= The weight of the ship according to the question. =52,000 tons.
m₂= The weight of cargo that is added on the ship. = 6000 tons.
We have to calculate the total mass of water that will be displaced by the ship after the cargo is added is =M tons.
Now we put the values in above equation, we get
M=m₁+m₂
Or, M= 52000+6000
Or, M= 58000 tons.
So we can say that, the total mass of water that will be displaced by the ship after the cargo is added is (M)= 58000 tons.
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The process of a nucleus giving off radioactive particles to become more stable is called
Answers
Answer:
Radioactive Decay
Explanation:
A player kicks a football from ground level with a velocity of
magnitude 27.0 m/s at an angle of 30° above the horizontal.
What is the horizontal distance the ball travels?
(hint: d= 1/2 at^2)
Answers
Answer:
37.33m
Explanation:
To calculate the distance using d= 1/2 at², the time taken for this projectile object (ball) must be calculated.
Time of a projectile = 2u sinθ/ g
Where u = velocity = 27m/s
g = 9.8m/s²
θ = 30°
T = 2usinθ/ g
T = 2 × 27 × sin 30°/9.8
T = 54sin30°/9.8
T = 27/9.8
T = 2.755
T = 2.76s
If the time taken for the ball to move is 2.76s, the distance travelled is:
D = 1/2at²
D = 1/2 × 9.8 × 2.76²
D = 1/2 × 9.8 × 7.6176
D = 74.65248/2
D = 37.33m
The horizontal distance the ball travels is 37.33m
The horizontal distance travel by ball is 37.32 meters.
First we have to calculate time of projectile,
\(Time=\frac{2usin\theta}{g}\)
Where g is acceleration due to gravity and u is velocity.
Given that, \(u=27m/s, \theta=30\)
Substitute values in above relation.
\(Time=\frac{2*27*sin30}{9.8}=\frac{2*27*0.5}{9.8}=2.76s\)
The horizontal distance is given by,
\(d=\frac{1}{2}gt^{2}\\ \\ d=\frac{1}{2}*9.8*(2.76)^{2} \\\\d=37.32m\)
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What is the force required to keep the object sliding on a surface with the same speed?
Answers
The amount of force necessary to maintain an object is moving at precisely the same speed—or sliding friction—is measured. The object begins to move after the imparted force. static or sliding friction measurement.
The definition of friction force
Intensity of Friction What Is Frictional Force? Friction is the force that prevents motion when one object's face scrapes against another's surface. The mechanical advantage of a machine is diminished by friction, or even more specifically by a decline in the output to input ratio.
Why is friction an antagonistic force?
Rubbing acts as just a repelling force when one body moves through a surface. Friction is the result of two surfaces interacting with one another. If a layer is not fluid, then objects cannot move through it.
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Describe the advantages and disadvantage is of living in a floodplain
Answers
Answer:
:) :::::::::::::::::::::::::::::::))))
how much time will it take for a bug to travel 55 M across the floor if it's traveling by 1.1 m / s
Answers
Answer:
The bug will take 50 seconds to travel 55 m across the floor if it's traveling by 1.1 m / s.
Explanation:
Given
Distance covered by bug = d = 55 m
The speed = s = 1.1 m/s
To determine
Time the bug will take to cover the distance = t = ?
Using the formula to determine the time the bug will take to travel 55 m across the floor if it's traveling by 1.1 m/s.
Distance = Speed x Time
d = s x t
t = d/s
t = 55/1.1
t = 50 s
Therefore, the bug will take 50 seconds to travel 55 m across the floor if it's traveling by 1.1 m / s.
Please help me as fast as possible
What is the geologic time scale is and how it is used?
Describe the concept of using radioactive elements to establish the age for a fossil, including how the parent and daughter elements are used in the determination of age?
List two examples of measurements of time that are relative?
List two examples of measurements of time that are absolute?
Describe the conditions on Earth billions of years ago and the factors that controlled the evolution of life?
Answers
There was no oxygen and layer of ozone in the atmosphere of earth billions of year ago.
What is the geologic time scale?The geologic time scale is a “calendar” that show events that occur in Earth history. It is used by geologists and other Earth scientists in order to describe the timing and relationships of events in geologic history.
Describe the concept of using radioactive elements?Geologists commonly use radiometric dating methods, based on the natural radioactive decay of certain elements such as potassium and carbon as reliable clocks in order to date ancient events.
Describe the conditions on Earth billions of years ago?The early Earth had no ozone layer and no free oxygen. Without an oxygen atmosphere very few things could live on the early Earth which did not need oxygen for their survival.
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