Answer:
An air mass acquires these characteristics above an area of land or water known as its source region. When the air mass sits over a region
____ is the amount of matter an object and the mass of an _____ does not change location.
Answer:
Mass
Object
Explanation:
Answer:
Mass is the amount of matter in an object and the mass of an object does not change location.
A cylindrical water tank open to the atmosphere, 10 m tall and 6 m in diameter, is mounted with its base 25 m above ground level, and filled with water. Calculate a) the water pressure and force at the base of the tank?
The water pressure at the base is 98,000 Pa, and the force exerted at the base of the tank is 2,768,460 N.
To find the water pressure at the base of the tank, take the formula:
Pressure = density × gravity × height
In which
Density = density of water (1000 kg/m³)
Gravity = acceleration due to gravity (9.8 m/s²)
Height = height of the column
According to question:
Height of the water column = 10 m
Take the formula:
P = 1000 kg/m³ × 9.8 m/s² × 10 m
= 98,000 Pa
To find the force at the base of the tank, take the formula:
Force = Pressure × Area
In which
Pressure = pressure at the base of the tank
Area = base area of the tank
The base area of a cylindrical tank can be found by the formula:
Area = π × r²
In which:
Diameter of the tank = 6 m
To find the radius, divide the diameter by 2:
Radius = 6 m ÷ 2
= 3 m
Put the values into the formula:
Area = π × (3 m)²
= 28.27 m²
Now, find the force:
Force = 98,000 Pa × 28.27 m²
= 2,768,460 N
Thus, the water pressure at the base is 98,000 Pa, and the force exerted at the base of the tank is 2,768,460 N.
Learn more about water pressure, here:
https://brainly.com/question/32422833
#SPJ1
2
A crane has an arm to which is attached a frictionless pulley. A cable passes over the pulley and
supports a load of 10 kN as shown.
frictionless pulley
104N
30
30°
crane arm
load
10 KN
The crane arm exerts a force F on the pulley.
What is the value of F?
C
8.7 KN
10 KN
D
A
17 kN
B
5.0 KN
Answer:
17kN
Explanation:
The force of 10 kN in the cable and the load of 10 kN both have a component along the crane arm.
The force F exerted by the crane arm on the pulley is the sum of these 2 components.
Component of force in cable along the crane arm = 10 cos 30°
Component of load along the crane arm = 10 cos 30°
Considering the forces on the pulley,
F = 10 cos 30° + 10 cos 30°
Force F = 17.32 kN = 17 kN
What does meaningful learning require the learner to do? 1.Relate new knowledge to what is already known 2.Use rote learning strategies to memorize facts 3.Eliminate prior schema 4.Teach others
Answer: I think the answer is A Relate new Knowledge
Explanation:
It kinda just makes sense.
Answer:
A. Relate new knowledge to what is already known
Explanation:
I took the test
PLS ANSWER I NEED HELP
How is an electromagnetic wave (such as a radio wave) different from an ocean wave?
A) An electromagnetic wave cannot travel through empty space, but an ocean wave can.
B) An electromagnetic wave does not require a physical medium to travel through.
C) An electromagnetic wave is a longitudinal wave and an ocean wave is an oblong wave.
D) An electromagnetic wave travels more slowly than an ocean wave.
Answer:
mmmm im going to say B but i’m not sure
Explanation:
Electromagnetic waves can travel through air and unlike ocean waves or sound waves they do not need physical molecules for like a medium to travel
Voltage
Depends on the amount of resistance
Depends on the amount of current
Is the measurement of electrical pressure
All of the above
Voltage depends on the amount of resistance, current according to the Ohm's law, and, by definition, is the measurement of electrical pressure.
According to the Ohm's Law, the current through a conductor between two points is directly proportional to the voltage across the two points.
Mathematically,
V ∝ I
V = IR
where, R is the resistance of the conductor and I is the current flowing in the conductor. So, the voltage depends on the amount of resistance and current.
Also, Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.
Hence All of the above option in the given question are true.
To know more about Ohm's Law, refer:
https://brainly.com/question/1247379?referrer=searchResults
A candle is placed in front of a concave mirror as it is shown . State the image characteristics (SALT)
As a result, the picture behind the mirror is virtual, upright, and enlarged.
What does SALT in concave mirrors stand for?You will find that the properties of an image (SALT) created in a concave mirror depend on the object's position. A) if the item is larger than C. Size, attitude, and location are all important considerations.
The image will be true, but reversed and much reduced. To obtain a crisp flame image, move the burning candle towards the mirror while moving the screen away from it. The size of the inverted picture grows.
Concave mirrors may create both physical and virtual images. A virtual and enlarged picture is produced when the item gets closer to the mirror. When the item is placed further away from the mirror,.
learn more about Concave mirrors
https://brainly.com/question/27841226
#SPJ1
Question #2: Do all supply curves look basically the
same (forget about the numbers attached to them,
just answer in terms of slope (steepness) and shape
(direction)? Why or why not (use the terms you
defined above to answer this)?
Answer:
No, all supply curves do not look basically the same in terms of slope and shape. The slope and shape of a supply curve depend on the specific market conditions and the behavior of the suppliers. The supply curve can have different slopes, ranging from being perfectly elastic to perfectly inelastic. The slope of the supply curve reflects the responsiveness of the quantity supplied to changes in the price of the good or service.
In terms of shape, the supply curve can take on different forms such as being linear or curved. The shape of the supply curve depends on the behavior of the suppliers and their ability to adjust the quantity supplied to changes in the price of the good or service. For example, if suppliers can easily adjust their production levels in response to changes in price, then the supply curve may be flatter or more horizontal, indicating a more elastic supply. On the other hand, if suppliers face higher costs or constraints on their ability to increase production, the supply curve may be steeper or more vertical, indicating a less elastic supply.
Therefore, the slope and shape of a supply curve can vary depending on the market conditions and the behavior of the suppliers, and cannot be generalized as being the same for all supply curves.
In a DC generator, the generated emf is directly proportional to the
In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.
This relationship is described by the equation for the generated emf in a DC generator:
Emf = Φ * N * A * Z / 60
Where:
Emf is the generated electromotive force (in volts),
Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),
N is the number of turns in the armature winding,
A is the effective area of the armature coil (in square meters),
Z is the total number of armature conductors, and
60 is a constant representing the conversion from seconds to minutes.
From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.
The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.
The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.
Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.
By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.
For more such information on: DC generator
https://brainly.com/question/23037391
#SPJ8
A 5kg objects is sliding across a floor at 10m/s. How much work is done by friction to bring it to a stop?
If A 5kg objects is sliding across a floor at 10m/s.then the work done by friction to bring the 5 kg object to a stop is -250 Joules.
To calculate the work done by friction to bring the object to a stop, we need to determine the change in kinetic energy.
Given:
Mass of the object, m = 5 kg
Initial velocity, u = 10 m/s
Final velocity, v = 0 m/s (object comes to a stop)
The work done by friction can be calculated using the equation:
Work = Change in Kinetic Energy
The change in kinetic energy (ΔKE) can be calculated as:
ΔKE = (1/2) * m * (v^2 - u^2)
Plugging in the values:
ΔKE = (1/2) * 5 kg * (0 m/s)^2 - (10 m/s)^2
= (1/2) * 5 kg * (0 - 100 m^2/s^2)
= (1/2) * 5 kg * (-100 m^2/s^2)
= -250 J
The negative sign indicates that the work done by friction is in the opposite direction of the displacement of the object.
Therefore, the work done by friction to bring the 5 kg object to a stop is -250 Joules.
To learn more about Workdone click:
brainly.com/question/28172139
#SPJ1
Consider a simple pendulum that consists of a massless 2.00-meter length of rope attached to a 5.00-kg mass at one end. What happens to the frequency of oscillation of the pendulum if we double the length of the rope
Answer:
If we double the length we will have:
\(f'=\frac{f}{\sqrt{2}}\)
Explanation:
The equation of the angular frequency of a pendulum is given by:
\(\omega=\sqrt{\frac{g}{L}}\)
Where:
g is the gravityL is the length of the pendulumBy definition the period is:
\(T=\frac{2\pi}{\omega}\)
And frequency is 1 over the frequency T:
\(f=\frac{1}{T}\)
\(f=\frac{1}{2\pi}\sqrt{\frac{g}{L}}\)
Now, if we double the length we will have:
\(f'=\frac{1}{2\pi}\sqrt{\frac{g}{2L}}\)
\(f'=\frac{1}{2\pi\sqrt{2}}\sqrt{\frac{g}{L}}\)
\(f'=\frac{f}{\sqrt{2}}\)
Therefore, the new frequency is the old frequency over √2.
I hope it helps you!
Resistance between opposite faces of a unit cube. Expressed in ohm-centimeters or ohms per cubic centimeter.
Resistivity is the resistance between opposite faces of a unit cube.
The electrical resistance of a conductor with a unit cross-sectional area and unit length is called resistivity. Resistivity is a distinctive attribute of any material that may be used to compare different materials based on how well they conduct electric currents. Low conductivity is indicated by high resistance.
The Greek letter rho is frequently used to represent resistance, which is numerically equivalent to the resistance R of a wire-like specimen, multiplied by its cross-sectional area A, and divided by its length l; RA/l. The ohm is the measurement of resistance. Units of ohm-centimeter can be used to represent resistance when lengths are measured in centimeters. The temperature of the material also affects the value of resistivity.
To learn more about resistivity please visit-
https://brainly.com/question/13532749
#SPJ9
HELP PLEASE HELP AND QUICK!!!! Colin is helping the librarian return books to the shelves where they belong. he picks up books from the librarian’s desk, as shown in figure a. he then carries them to the shelves, as shown in figure b. two illustrations with the left one showing a boy lifting books up that have been sitting on a desk, and the second one showing a boy carrying books toward a bookcase on the right. explain why figures a and b do or do not show work being done. then, provide two examples (not including lifting or carrying) of how work could be done on the books. ITS NOT MULTIPLE CHOICE
Answer:
he can get sombody else to pick up the boosk bc he is lazy
a rectangular loop of wire has area A it is placed perpendicular to a uniform magnetic field B and spun around one of its side at frequency f the maximum induced emf is
When a rectangular loop of wire has area A it is placed perpendicular to a uniform magnetic field B and spun around one of its sides at frequency f the maximum induced emf is 2πBAf
What is a magnetic field?A magnetic field could be understood as an area around a magnet, magnetic material, or an electric charge in which magnetic force is exerted.
The maximum induced emf is 2πBAf when a rectangular wire loop of area A is spun around one of its sides at frequency f, perpendicular to a uniform magnetic field B.
therefore the correct answer is option C
Learn more about the magnetic fields from here
brainly.com/question/23096032
#SPJ1
Your question seems incomplete, the complete question is as follows
A rectangular loop of wire has area A. It is placed perpendicular to a uniform magnetic field B and then spun around one of its sides at frequency f. The maximum induced emf is:
A. BAf
B. 4πBAf
C. 2πBAf
D. 2BAf
explain the term tenscopo
Answer: Here you go, i hope this kinda helps.
Explanation:Disambiguation is just a fancy way of saying "asking clarifying questions".
Watson Assistant replies to user's questions based on a confidence score.
Sometimes the customer's question could be interpreted in two or three different ways.
For example, if you say you'd like to "book a table for 8", the assistant is able to ask a clarifying question:
Did you mean booking a table for 8PM, 8AM, or booking a table for 8 guests?
Watson Assistant will ask the question when its confidence score is divided between a few options to ensure that your customers get exactly the right service they need.
Rhea is driving north in a straight line. After driving for 2.4 kilometers, she turns west, and drives for 3.1 km. At the end of her drive, what is the magnitude of her displacement vector? To find the magnitude of a resultant vector, use the Pythagorean theorem: a² + b² = c² A) 3.9 km B) 5.5 km (this one is incorrect) C) 2.8 km D) 2.3 km
Option A) 3.9 km is the correct answer. the magnitude of Rhea's displacement vector is approximately 3.92 km.
In order to find out the magnitude of Rhea's displacement vector, we have to add up all of the displacement vectors.
Then we can use the Pythagorean theorem to calculate the magnitude of the resultant vector.
Since Rhea is first driving north for 2.4 km and then west for 3.1 km, we can represent her displacement vectors as follows: Δx = 0 km and Δy = 2.4 km for the first vector, and Δx = -3.1 km and Δy = 0 km for the second vector.
We can then add these vectors together by adding their components: Δx = 0 km + (-3.1 km) = -3.1 km and Δy = 2.4 km + 0 km = 2.4 km.
This gives us a resultant vector of -3.1 km east and 2.4 km north.
Using the Pythagorean theorem, we can find the magnitude of this vector: \(\sqrt{(\(-3.1 km)^{2} + (2.4 km)^{2} ) } = \sqrt{(9.61 + 5.76) km^{2} } = \sqrt{15.37 km^{2} } \approx 3.92 km.\)
Therefore, the magnitude of Rhea's displacement vector is approximately 3.92 km.
Therefore, option A) 3.9 km is the correct answer.
For more questions on displacement vector
https://brainly.com/question/28952425
A truck travels up a hill with a 6.9" incline.
The truck has a constant speed of 24 m/s.
What is the horizontal component of the
truck's velocity?
Answer in units of m/s.
With the application of resolution of vectors, the horizontal velocity is 23.99995 m/s
What is Uniform Speed ?Uniform speed is also known as constant speed. This can be defined when the distance travel by an object per time taken is constant.
Given that a truck travels up a hill with a 6.9" incline. The truck has a constant speed of 24 m/s.
First convert minute to degree.
1 minute = 0.0166667
6.9 minute = 6.9 × 0.016667 = 0.115 degree
The formula for the horizontal component of the truck's velocity will be UcosФ, while the vertical component is UsinФ
Substitute all the parameters into the equation.
Horizontal velocity = 24cos 0.115 = 23.99995 m/s
Therefore, the horizontal component of the truck's velocity will be 23.99995 m/s which can be approximated to 24 m/s
Learn more about Velocity here: https://brainly.com/question/24767211
#SPJ1
how does mass relates to latent heat?
The mass of a substance is not directly related to latent heat. Instead, latent heat is a parameter that describes the amount of energy required or released during a phase shift of a substance.
What is latent heat?Latent heat can be thought of as hidden energy that is supplied or extracted to change the state of a substance without changing its temperature or pressure.
Latent heat is energy released or absorbed, by a body or a thermodynamic system, during a constant-temperature process—typically a first-order phase transition.
Learn more about latent heat here:
https://brainly.com/question/10850467
#SPJ1
Using atleast 4 sentences. Please share three facts you have learned this year in Physical Education and how you will adapt what you have learned to your everyday life.
Three facts I have learned this year in Physical Education are:
a) The importance of stretching before and after exercising.
b) The benefits of cardiovascular exercise.
c) The importance of staying hydrated during exercise.
Firstly, I have learned the importance of stretching before and after exercising. Stretching helps prevent injury and improves flexibility. I will make sure to incorporate stretching into my daily routine, whether it's through a short stretching session in the morning or by taking a few minutes to stretch before and after a workout.
Secondly, I have learned the benefits of cardiovascular exercise. Cardiovascular exercise, such as running or cycling, helps improve heart health and endurance. I will try to incorporate more cardiovascular exercise into my daily routine, such as going for a run or bike ride after work.
Lastly, I have learned the importance of staying hydrated during exercise. Dehydration can lead to fatigue and muscle cramps, so it's important to drink plenty of water before, during, and after exercise. I will make sure to carry a water bottle with me throughout the day and refill it regularly to ensure that I am staying hydrated.
In summary, by incorporating stretching, cardiovascular exercise, and staying hydrated into my daily routine, I hope to improve my overall physical health and well-being.
for more such question on Physical Education
https://brainly.com/question/31766247
#SPJ11
A force acts on an area to produce a pressure.
Which changes produce the same pressure?
A double the area and double the force
B. double the area and halve the force
C double the area and make the force four times bigger
D halve the area and double the force
The manufacturer of a 9 [V] flashlight battery says that the battery will deliver 20 [mA] for 80 continuous hours. However, during that time the voltage will drop from 9 [V] to 6 [V]. Assume the voltage drop is linear in time, but that the current is constant. How much energy does the batteiy deliver in 80 [h]? Battery "capacity" can be stated in terms of the total charge the battery will deliver, with units of milliamp-hours [mA-h]. If the battery can be considered "dead" when the voltage reaches 6 V, what is the capacity of the flashlight battery in mA-h?
Answer:
a. Energy ≅ 43.2 kJ
b. Capacity of battery = 1600-mAh
Explanation:
average voltage value = (9 + 6)/2 = 15/2 = 7.5
current = 20 mA = 20 x \(10^{-3}\)
time duration = 80 hrs = 80 x 60 x 60 = 288000 sec
If the current is assumed to be constant, then the energy delivered is the product of voltage across, current delivered and the time duration during which it is delivered.
Energy delivered by battery = 7.5 x 20 x \(10^{-3}\) x 288000 = 43200 J
Energy ≅ 43.2 kJ
If the battery is considered dead when it reaches 6-v, then that means that at 6-v, there is no potential difference between them.
capacity of flashlight battery is the product of current delivered and the time duration of delivery.
capacity = 20-mA x 80-hr = 1600-mAh
Jeffrey is using a pulley to get water from a well. He loops a rope over the top of a pulley wheel, then ties the rope to a bucket. He lowers the bucket into the water. To bring the bucket and water up from the well, Jeffrey pulls down on his end of the rope. Why does Jeffrey apply a pulling force to the rope? A. because adding his force to the force generated by the pulley will get the job done faster B. to test the tension in the rope before he uses it to climb down into the well C. to signal to the pulley to start drawing water from the well D. because work must be done on the pulley before it can do work on the bucket
Answer:
D
Explanation:
A solid sphere of radius R, a solid cylinder of radius R, and a rod of length R all have the same mass, and all three are rotating with the same angular velocity The sphere is rotating around an axis through its center. The cylinder is rotating around its long axis, and the rod is rotating around an axis through its center but perpendicular to the rod. Which one has the greatest rotational kinetic energy? a. the sphere b. the cylinder c. the rod d. the rod and the cylinder have the same rotational kinetic energy e. they all have the same kinetic energy
Answer:
b. the cylinder
Explanation:
From the information given:
We understood that the mass of the sphere, cylinder, and rod length is the same with the same angular speed.
Taking their moments:
For the solid sphere; \(\text{The moment of inertia :}\) \(I_s\) = \(\dfrac{2}{5} \times m \times r^2\)
The moment of inertia of the cylinder, \(I_c = 0.5\times m \times r^2\)
The moment of inertia of rod, \(I_r =\dfrac{ m * r^2 }{12}\)
The rotational kinetic energy is directly corresponding to the moment of inertia.
Thus, the cylinder has the greatest rotational kinetic energy.
I need help with (c) please
The frequency of light with a wavelength of 655 nm is 4.58 x 1014 Hz, the frequency of light with a wavelength of 515 nm is 5.83 x 1014 Hz, and the frequency of light with a wavelength of 475 nm is 6.32 x 1014 Hz. The frequency of light can be calculated using the equation c = λν, where c is the speed of light, λ is the wavelength, and ν is the frequency.
The visible spectrum of electromagnetic radiation has a range of wavelengths that varies from the longest (red) to the shortest (violet) that our eyes can detect. The frequencies of light with wavelengths of 655 nm, 515 nm, and 475 nm can be calculated using the equation c = λν, where c is the speed of light, λ is the wavelength, and ν is the frequency.(a) For light with a wavelength of 655 nm, the frequency can be calculated as: c = λν ==> ν = c/λ where c = 3.00 x 108 m/s (speed of light in a vacuum)λ = 655 nm = 6.55 x 10-7 m. Therefore, ν = (3.00 x 108 m/s) / (6.55 x 10-7 m) = 4.58 x 1014 Hz(b) For light with a wavelength of 515 nm, the frequency can be calculated as: c = λν ==> ν = c/λ where c = 3.00 x 108 m/s (speed of light in a vacuum)λ = 515 nm = 5.15 x 10-7 m. Therefore, ν = (3.00 x 108 m/s) / (5.15 x 10-7 m) = 5.83 x 1014 Hz(c) For light with a wavelength of 475 nm, the frequency can be calculated as: c = λν ==> ν = c/λ where c = 3.00 x 108 m/s (speed of light in a vacuum)λ = 475 nm = 4.75 x 10-7 m. Therefore, ν = (3.00 x 108 m/s) / (4.75 x 10-7 m) = 6.32 x 1014 Hz.For more questions on frequency
https://brainly.com/question/254161
#SPJ8
Two springs are attached to two hooks. Spring A has a greater force constant than spring B. Equal weights are suspended from both. Which statement is true?
Question 6 options:
Spring A will have more extension than spring B.
Spring B will have more extension than spring A.
Both springs are equally stiff.
Both springs will have equal extension.
In a case whereby two springs are attached to two hooks and Spring A has a greater force constant than spring B. Equal weights are suspended from both then Spring B will have more extension than spring A.
What is force constant ?Force constant or spring constant serves as the measure of the stiffness of a spring which can be explained as the force per unit deformation of the spring.
In the case above, we can see that since Equal weights are suspended from both, then there will be more extension at the side of Spring B since A has a greater force constant.
Therefore, option B is correct.
Learn more about force constant at:
https://brainly.com/question/13102262
#SPJ1
How can a spinning ball have more lift than one that is not spinning?
Why does the direction of the spin matter?
Relate Bernoulli's principle to the sport of your choice.
The differential in air pressure on the ball's various sides allows a spinning ball to provide more lift than a non-spinning ball, in accordance with Bernoulli's principle.
According to Bernoulli's principle, the pressure of a fluid decreases as the fluid's velocity increases. A ball is pushed in the opposite direction by a force produced by lower pressure, possibly producing more lift.
The lift is given to the ball by the air because the right side air moves in the same direction of the motion of the ball while the lift side goes into the opposite direction that creates a difference in the air pressure and more lift is the result.
To know more about Bernoulli's principle, visit,
https://brainly.com/question/13344039
#SPJ1
What is the definition of force according to the Newton's first law of motion
Answer:
In physics, a force is any influence that causes an object to undergo a certain change, either concerning its movement, direction, or geometrical construction. In other words, a force can cause an object with mass to change its velocity, i.e., to accelerate, or a flexible object to deform, or both.
Explanation:
QUESTION 12 A car travelling at 25ms along a coastal road goes over the edge of a 45m high cliff What will be the time taken to reach the water below the cliff? C 2.25 8. 3.3s D 1.1s
Time taken by the car to reach the water below the cliff, time of flight is 3.03 s.
What is a projectile ?Projectile is an object thrown into the space and which is moving under the effect of gravity alone near the surface of earth.
Here,
The car is driven over the edge and so it is having a projectile motion from the top of the cliff to the water. The time taken by the car to reach and hit the sea in the projectile motion is called time of flight. When the car just leaves the edge of the cliff, it tends to rest. So the initial velocity is 0.
The height of the cliff, s = 45 m
Using the equation of motion,
s = ut +1/2 at²
45 = 0 + 1/2 x 9.8 x t²
t² = (2x 45)/9.8 = 9.183
Therefore, time of flight,
t = 3.03 s
Hence,
Time taken by the car to reach the water below the cliff, time of flight is 3.03 s.
To learn more about projectile, click:
https://brainly.com/question/30297855
#SPJ9
a vertical spring stretches 0.03m when a 0.20 kg mass is attached to it. what is the spring constant of this spring
tTe spring constant of the spring, attached with when a mass of 0.20 kg is 0.059 N/m.
What is spring constant?The spring constant, k, is a measure of the stiffness of the spring.
To calculate the spring constant of the spring, we use the formula below.
Formula:
k = Fmge............ Equation 1Where:
k = Spring constant of the springm = Mass attached to the springe = Extensiong = Acceleration due to gravityFrom the question,
Given:
m = 0.20 kgg = 9.8 m/s²e = 0.03 mSusbtitute these values into equation 1
F = 0.2×9.8×0.03F = 0.059 N/mHence, the spring constant of the spring is 0.059 N/m.
Learn more about spring constant here: https://brainly.com/question/22712638
#SPJ1
A thin, light wire is wrapped around the rim of a wheel, as shown in (Figure 1). The wheel rotates without friction about a stationary horizontal axis that passes through the center of the wheel. The wheel is a uniform disk with radius 0.288 m
. An object of mass 4.30 kg
is suspended from the free end of the wire. The system is released from rest and the suspended object descends with constant acceleration.
If the suspended object moves downward a distance of 2.95 m
in 1.85 s
, what is the mass of the wheel?
The mass of the wheel is 0.38 kg. It is related to weight, which is the force exerted on an object due to gravity and is proportional to the object's mass.
What is Mass?
Mass is a measure of the amount of matter in an object. It is a scalar quantity and is usually measured in kilograms (kg) in the SI system of units. Mass is a fundamental property of an object and does not change with its location or motion.
Let's start by finding the tension in the wire using the motion of the object. We can use the kinematic equation:
y = (1/2)at^2
where y is the distance the object moves, a is the acceleration, and t is the time. Substituting the given values:
2.95 m = (1/2)a(1.85 s)^2
Solving for the acceleration:
a = 2.47 m/s^2
Now, we can find the tension in the wire using the rotational dynamics of the wheel. The torque due to the tension is equal to the moment of inertia times the angular acceleration:
τ = Iα
where τ is the torque, I is the moment of inertia, and α is the angular acceleration. Since the wheel is rotating without friction, the torque due to the tension is the only torque acting on the wheel, so:
Tension * radius = (1/2)mr^2 * α
where m is the mass of the wheel and r is its radius. We can rearrange this equation to solve for the tension:
Tension = (1/2)ma
Substituting the values we found:
Tension = (1/2)(4.3 kg)(2.47 m/s^2) = 5.31 N
Now we can use the torque equation again to solve for the moment of inertia of the wheel:
Tension * radius = (1/2)mr^2 * α
Substituting the values we found and solving for the moment of inertia:
I = 2(Tension * radius) / α = 0.033 kg·m²
Finally, we can use the moment of inertia to find the mass of the wheel using the formula:
I = (1/2)mr^2
Substituting the values we found:
0.033 kg·m² = (1/2)m(0.288 m)^2
Solving for the mass:
m = 2I / r^2 = 0.38 kg
Learn more about Mass from given link
https://brainly.com/question/86444
#SPJ1