To calculate the rotational inertia of this rigid body, we need to use the formula I = Σmr², where I is the rotational inertia, Σm is the sum of the masses of all the particles, and r is the distance of each particle from the axis of rotation.
For part b, the axis of rotation passes through the midpoint of one of the sides and is perpendicular to the plane of the square. This means that the distance of each particle from the axis of rotation is the same, which is the half of the diagonal of the square, given by d/2 = 2.415 m. Thus, the rotational inertia can be calculated as I = 4m(2.415)² = 44.2 kg·m².
For part c, the axis of rotation lies in the plane of the square and passes through two diagonally opposite particles. This means that we need to find the distance of the other two particles from the axis of rotation, which can be calculated using the Pythagorean theorem. The diagonal of the square is given by d = 4.30 m, so the distance of each particle from the axis of rotation is √((d/2)² + (d/2)²) = 3.04 m. Thus, the rotational inertia can be calculated as I = 2m(3.04)² + 2m(2.415)² = 76.8 kg·m².
In summary, the rotational inertia of this rigid body depends on the distribution of the particles and the axis of rotation. For a uniform distribution of particles, the rotational inertia can be calculated using the formula I = Σmr². For part b, where the axis of rotation passes through the midpoint of one of the sides and is perpendicular to the plane of the square, the rotational inertia is 44.2 kg·m².
For part c, where the axis of rotation lies in the plane of the square and passes through two diagonally opposite particles, the rotational inertia is 76.8 kg·m².
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Please I need help in this now
Answer:
a
Explanation:
worng worng
An object of mass M moves in one dimension along the x-axis. A conservative force F(x) is exerted on the object. The potential energy U(x) associated with this force as a function of position x is shown in graph 1. A student used the potential energy graph to construct the graph of F(x) as a function of x shown in graph 2. Are these graphs consistent with one another, and if not, what is the error?
These graphs do not consistent with one another because one is graph of potential energy U(x) vs distance(x) and two is graph of force (F(x)) vs distance(x).
What is potential energy?Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.
Now, if a force F(x) is applied on an object, that caused a displacement of the object a distance x. Then potential energy of the object is:
U(x) = ∫ F(x)dx.
Hence, U(x) ≠ F(x)
That's why, these graphs do not consistent with one another.
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A variable star is observed. it is a giant star and its period of variability is less than a day. what can one say about its average luminosity?
Its average luminance is around 100 times that of the sun.
As Henrietta Swan Levitt discovered, a Cepheid's variability period relates directly to its luminosity. The longer the variability period, the more luminous the Cepheid.
A star that is inherently variable and has a long period would have somewhat regular brightness changes that take months or years to complete one cycle. Without exception, they are all red giant and supergiant stars.
What is luminosity ?Luminous intensity is the quantity of visible light emitted per solid angle in a unit of time. Lumens are a unit of measurement for the quantity of light emitted by a source in a specific time interval (also known as luminous power or luminous flux). In connection to visual perception, the luminance is evaluated.
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calculate the potential energy of a 40 gram sparrow resting on a branch 30 feet above the ground
Answer:
1.43 J
Explanation:
PE = mgh = (0.04 kg)(9.80 m/s2)(3.6576 m) = 1.43 J
You have to convert g to kg, and feet to m
Star A and star B appear equally bright, but star A is twice as far from us as star B. Which of the following is true?
a. Star A is twice as luminous as star B
b. Star A is four times as luminous as star B
c. Star B is twice as luminous as star A
d. Star B is four times as luminous as star A
e. Star A and star B have the same luminosity because they have the same apparent brightness
The correct answer is e. Star A and star B have the same luminosity because they have the same apparent brightness.
Apparent brightness refers to how bright a star appears to an observer on Earth. It is determined by the amount of light received per unit area on Earth's surface. Apparent brightness decreases with increasing distance from the observer, following the inverse square law.
Luminosity, on the other hand, refers to the total amount of light energy emitted by a star per unit time. It is an intrinsic property of the star and represents its true brightness.
In this scenario, since both star A and star B appear equally bright to us, it means they have the same apparent brightness. However, the fact that star A is twice as far from us as star B implies that star A must be emitting four times the amount of light energy to appear equally bright at that distance. This is because the apparent brightness decreases with distance squared.
Mathematically, the relationship between luminosity (L), distance (d), and apparent brightness (B) can be expressed as:
B = L / (4πd^2)
Given that star A and star B have the same apparent brightness, it means their luminosities must be equal. If star A were twice as luminous as star B, it would appear brighter than star B. Similarly, if star B were twice or four times as luminous as star A, it would appear brighter than star A.
Therefore, the correct answer is e. Star A and star B have the same luminosity because they have the same apparent brightness.
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A 1.3 kg book has 11.7 joules of potential energy relative to the floor when it's sitting on top of
Brenda's dresser. Calculate how tall Brenda's dresser is?
Can some smart person help me out here!!!!!!!
Answer:
B
Explanation:
when you put it on a smooth surface and they're both at the same level it'll determine which one is faster and which one has less Mass. hope this helps much love .
There are no smart people available at the moment, but I'll try and help you.
Do the SECOND choice on the list. Keep the forces of the push on both blocks exactly equal. The block that jumps out ahead has less mass. The block that lags behind has more mass.
19. The current in a hair dryer is 12 A. The hair dryer is plugged into a 120-V outlet. How
much electric resistance is there in the hair dryer's circuit? Use the equation for Ohm's
Law.
Answer:
10 ohms
Explanation:
R = V / I
Which of the following characterizes the particles in this diagram?
A. Two positive charges
B. One positive charge and one negative charge
C. Two negative charges
D. Two neutral charges
Answer:
B
Explanation:
One positive charger and one negative charger
A woman walked 115 m. As she did so, her speed increased from 4.20 m/s to 5.00 m/s. How long did it take her to walk this distance?
Answer:
25 seconds
Explanation:
Assuming the woman is accelerating at a constant rate of \(a \;\;m/s^2\) from the initial velocity, u=4.20 m/s, to the final velocity, v=5.00 m/s.
Let she takes t seconds to cover the distance, s=115 m.
As acceleration, \(a=\frac{v-u}{t}=\frac{5-4.2}{t}\)
\(\Rightarrow at=0.8\cdots(i)\)
Now, from the equation of motion
\(s=ut+\frac 12 at^2\)
\(\Rightarrow s=ut+\frac 12 at(t)\)
\(\Rightarrow 115=4.2t+\frac 12 \times 0.8 t\) [ from equation (i)]
\(\Rightarrow 115=(4.2+0.4)t\)
\(\Rightarrow t= 115/4.6 = 25\) seconds.
Hence, she takes 25 seconds to walk the distance.
What is the equation for momentum (p)?
Answer:
p(momentum) = mass(kg) x velocity (m/s)
A 40.0-kilogram child exerts a 100.-newton force on a 50.0-kilogram object. The magnitude of the force that the object exerts on the child is
answer choices
- 0.0 N
- 80.0 N
- 100. N
- 125 N
The magnitude of the force that the object exerts on the child is 100 N.
option C is the correct answer.
What is Newton's third law of motion?
Newton's third law of motion states that for every action there is an equal and opposite reaction. In other words, action and reaction are equal and opposite.
Mathematically, Newton's third is given as;
Fa = Fb
where;
Fa is the applied forceFb is the reaction experienced by the objectIf the child exerts 100 N force on the object, the reaction of the object or the upward force exerted on the child by the object is 100 N in opposite direction.
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A satellite in orbit around Earth is in uniform circular motion. What is the angle between the velocity vector and acceleration vector at any given point on the orbit?
A. 90°
B. 45°
C. 180°
D. 0°
The angle between the velocity vector and acceleration vector at any given point in the orbit would be 90 degrees, therefore the correct answer is option A.
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².
As given in the If a satellite in orbit around Earth is in a uniform circular motion then we have to find the angle between the velocity vector and acceleration vector.
In a uniform circular motion, the angle between the velocity vector and acceleration vector is always π/2.
The angle between the velocity vector and acceleration vector at any given point in the orbit would be 90 degrees.
Thus, the correct answer is option A.
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An airplane travels for 2.5 hours at an average rate
of 130 miles per hour. Use the distance formula, d=rt, to find how
far the plane travels.
The plane travels a distance of 325 miles if the airplane travels for 2.5 hours at an average speed of 130 miles per hour. Using the distance formula (d = rt), we can calculate the distance.
To find the distance traveled by the airplane, we can use the distance formula, which is represented as d = rt. In this formula, "d" represents the distance, "r" represents the rate or speed at which the object is traveling, and "t" represents the time taken for the travel.
Given that the airplane travels for 2.5 hours at an average rate of 130 miles per hour, we can substitute these values into the formula. The rate of the airplane is 130 miles per hour, and the time taken is 2.5 hours.
Using the formula, we can calculate the distance traveled as follows:
d = rt
d = 130 mph × 2.5 hours
Multiplying the rate (130 mph) by the time (2.5 hours) gives us:
d = 325 miles
Therefore, the airplane travels a distance of 325 miles during the 2.5 hours of travel at an average rate of 130 miles per hour.
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You're driving at speed v0 when you spot a stationary moose on the road, a distance d ahead. Find an expression for the magnitude of the minimum constant acceleration you need if you're to stop before hitting the moose. Note: be careful when inputting the square of a variable that has a subscript. For example, the square of v0 should be entered v02 . Don't enter v20 or v02 ! Feel free to use parenthesis to make sure your answer is interpreted correctly. Express your answer in terms of the variables v0 and d. a=
We can derive an expression in terms of the variables v0 (initial velocity) and d (distance to the moose). The expression for the acceleration is a = v0² / (2d).
To stop before hitting the moose, the car needs to come to a complete halt. We can assume the car's final velocity is zero. Using the kinematic equation
v² = u² + 2as, where
v is the final velocity,
u is the initial velocity,
a is the acceleration, and
s is the distance covered,
we have v = 0 and u = v0. Rearranging the equation, we get
0 = v0² + 2as.
Since the car needs to stop, s becomes -d (negative distance) because the car needs to cover a distance equal to d in the opposite direction. Substituting these values, we have 0 = v0² + 2a(-d).
Solving for a, we find a = v0² / (2d), which represents the magnitude of the minimum constant acceleration needed to stop before hitting the moose.
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A Person drops a pile of roof shingles from the top of a roof above the ground. If the time taken to reach the ground was 5 seconds, how high is the roof?
Correct answer get BRAINLIEST and please don’t answer if u don’t know
Answer:
The height of the roof is 4 meters high. Is this the measurement that I was supposed to answer with?
Explanation:
Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped
The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)
The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.
To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).
The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).
In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).
Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.
If co > co_critical, the system is considered overdamped (Option E).
If co = co_critical, the system is considered critically damped (Option D).
If co < co_critical, the system is considered underdamped (Option C).
Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.
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Which statement is true about vectors?
Vectors need direction and magnitude to exist, otherwise, it becomes scalars that do not require direction to be expressed.
eg - Velocity is a vector as it needs direction, but speed is scalar and does not need direction
hope this helps
Answer:
a. All quantities in physics are not vectors. b. A vector may have either magnitude or direction. c. The vector's length should be proportional to its magnitude. d. Two vectors can be added only if they have the same direction.
If the temperature in the past was 2.9 C higher than today what would the corresponding change in the Fahrenheit temperature have been?
Answer:
1 deg C = 5/9 deg F (Ex. 212 F - 32) * 5/9 = 100
So deg F = 9/5 deg C = 9/5 * 2.9 = 5.2 deg F
Calculate the answer to the correct
number of significant digits.
15.3 + 1.285
Consider the interference pattern produced by two slits of width a and separated by a distance d, where d=3a. The slits are illuminated by normally incident light with wavelength one fifth the slit separation (A=d/5).(a) Let's first ignore diffraction effects due to the slit width. At what angles would you expect to see 2-source interference maxima? List all angles -90° ≤ 0 ≤ 90°. [Numeric values for the angles can be obtained from information stated in this question.](b) Now let's include diffraction effects caused by the slit width. At what angles would you expect to see slit diffraction minima? You should conclude that some of the 2-source interference maxima are "missing"-that is, they have intensity of zero. Which are missing?(c) Ifthe wavelength & is large enough, then there will be no minima in the single slit diffraction intensity for -90° ≤ 0 ≤ 90°. Determine the required wavelength. Express your answer in terms of the slit width, a.
(a)Two-source interference maxima would occur at angles of ±45°, ±22.5°, ±67.5°, ±90°, (b) The slit diffraction minima would occur at angles of ±22.5°, ±67.5°, ±90°,(c)The required wavelength for -90° ≤ 0 ≤ 90° is λ ≥ 4a.
What is angles ?Angles are geometric shapes which are formed when two straight lines intersect. They are measured in degrees, and can range from 0° to 360°. Angles are used in mathematics to describe the direction or orientation of objects, and can be used to solve many problems. Acute angles are those that measure less than 90°, right angles measure 90°, obtuse angles measure more than 90° but less than 180°, and straight angles measure 180°.
a) Without diffraction effects, the angles of 2-source interference maxima will occur when the path difference between the two slits is equal to an integer multiple of the wavelength (A). The path difference between two slits is d, so the angles for the 2-source interference maxima are given by: θ = ± (2π/A) * (d/2)
Since A = d/5, the angles are given by: θ = ± (2π/d) * (d/10) = ± (2π/10)
Therefore, the angles for the 2-source interference maxima are 0°, ± 18°, ± 36°, ± 54° and ± 72°.
b) When diffraction effects due to the slit width are included, the angles for the 2-source interference maxima will be slightly different. The angles of the 2-source interference maxima that are "missing" are 0°, ± 18° and ± 72°.
c) In order for there to be no minima in the single slit diffraction intensity for -90° ≤ 0 ≤ 90°, the wavelength must be greater than the slit.
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chegg a box is raised at constant speed by a man pulling up on a rope. assume that air resistance on the box is negligible.
When a box is raised at a constant speed by a man pulling up on a rope and air resistance is negligible, the force exerted by the man pulling the rope is equal to the weight of the box. The man is applying a force greater than the weight of the box to overcome gravity and lift the box. The box moves at a constant speed because the force applied by the man balances the downward force of gravity.
1. When the box is raised at a constant speed, it means that the net force acting on the box is zero. This is because the box is not accelerating, so the forces in opposite directions must be equal.
2. In this scenario, the main force acting on the box is the force exerted by the man pulling the rope. The man needs to apply a force that is equal in magnitude and opposite in direction to the weight of the box. This is because the weight of the box is the force of gravity acting on it.
3. Since the box is being lifted at a constant speed, the force applied by the man must balance the downward force of gravity. This ensures that the net force on the box is zero, resulting in a constant speed.
In summary, when a box is raised at a constant speed by a man pulling up on a rope and air resistance is negligible, the force applied by the man must be equal to the weight of the box. This allows the man to overcome gravity and lift the box, resulting in a constant speed as long as the forces remain balanced.
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Superman is flying high above the earth on a straight horizontal path. His wallet falls
out of his tights and falls towards Earth, at some point the wallet's velocity is 45.0
m/s [E 53 S].
a) At the point in question, what were the horizontal and vertical components
of the wallet's velocity?
b)
At the point in question, for how long had the wallet been falling?
c) At the point in question, how far horizontally and vertical had the wallet
traveled?
(a) The horizontal and vertical components of the wallet's velocity is 45 m/s and 53 m/s respectively.
(b) The wallet had been falling for 0 seconds at the point in question.
(c) At the point in question, the wallet had traveled 0 meters horizontally and 0 meters vertically.
What are the component of the velocity?At the point in question, the horizontal component of the wallet's velocity is 45.0 m/s towards the east (or "to the right" from Superman's perspective) and the vertical component of the velocity is 53.0 m/s towards the south (or "downwards" from Superman's perspective).
Assuming that the wallet was initially at rest relative to Superman, and neglecting air resistance, we can use the fact that the vertical motion of the wallet is equivalent to that of an object in free fall.
Using the formula y = 1/2(g)t^2,
where;
y is the vertical displacement g is the acceleration due to gravity and t is the time elapsed,we can solve for t to get:
t = √(2y/g)
t = √(2 x 0/9.8)
t = 0 seconds
c) Again neglecting air resistance, we can use the equations of motion for constant acceleration to determine the horizontal and vertical displacements of the wallet during the time it falls. Since the horizontal velocity of the wallet remains constant at 45.0 m/s, and the vertical acceleration is constant at -9.8 m/s^2, we can use the following formulas:
y = v0yt + 1/2(a) t^2
x = v0xt
where;
v0x is the initial horizontal velocity, = 45.0 m/sSubstituting in the known values, we get:
y = 0 + 1/2(-9.8)(0)^2
y = 0 meters
x = 45.0 (0) = 0 meters
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I need help on this question.
Answer:
A
Explanation:
Match each term with its best description.
Metamorphic
rock
Foliation
Burial
metamorphism
Parent rock
?
?
?
?
The original rock before it
metamorphoses.
Parallel alignment of platy
grains.
A rock changed by heat,
pressure, and fluids.
A process that changes
rock because of pressure
with equal intensity from
Metamorphic rock: A rock changed by heat, pressure, and fluids.
Foliation: Parallel alignment of platy grains.
Burial metamorphism: A process that changes rock because of pressure with equal intensity from all sides.
Parent rock: The original rock before it metamorphoses.
Metamorphic rock: A rock changed by heat, pressure, and fluids. The word metamorphic means change in form. Metamorphic rocks are made by rocks that have been altered in some way. This can happen through heat, pressure, and fluids. Examples of metamorphic rocks include slate, gneiss, and marble.
Foliation: Parallel alignment of platy grains. Foliation is a term used to describe the parallel alignment of platy grains in a metamorphic rock. This is caused by pressure during metamorphism. The platy grains can be minerals like mica or clay.
Burial metamorphism: A process that changes rock because of pressure with equal intensity from all sides. Burial metamorphism is a process that changes rock because of pressure with equal intensity from all sides. This can happen when rocks are buried deep within the earth's crust.
Parent rock: The original rock before it metamorphoses. The parent rock is the original rock before it metamorphoses. This rock is changed into a metamorphic rock through the process of metamorphism.
To summarize, metamorphic rock is a rock that has been changed by heat, pressure, and fluids. Foliation refers to the parallel alignment of platy grains. Burial metamorphism is a process that changes rock because of pressure with equal intensity from all sides. The parent rock is the original rock before it metamorphoses.
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explain why at the atomic level, conductors move charge easily and insulators do not
so i need help with waves what is a transverse wave
Answer:
A wave in which the medium vibrates at right angles to the direction of the propagation is called transverse wave.
Two infinite sheets of current flow parallel to the y-z plane. The left-hand sheet, which intersects the x-axis at x = 0, consists of an infinite array of wires parallel to the z-axis with a density n = 910 wires/m and a current per wire of IL = 0.17 A in the +z direction. The right-hand sheet, which intersects the x-axis at x = a = 12 cm, is identical to the left-hand sheet, except that it has a current per wire of IR = 0.17 A in the -z direction.
a) Calculate the y-components of the net magnetic field in the following places: x1 = -15 cm, x2 = 6 cm, and x3 = 24 cm. (The x- and z-components of the B-field are zero.)
B(x1)y = T
B(x2)y = T
B(x3)y = T
b) Suppose the above configuration of currents is unchanged except that the direction of the current IR is reversed so that now IR also flows in the +z direction. (The magnitude remains the same.) Calculate the y-components of the net magnetic field at the same positions as in part a).
B(x1)y = T
B(x2)y = T
B(x3)y = T
c) Return to the configuration of part a). Suppose you want to have the region 0 < x < a able to confine electrons (qe- = -1.60 x 10-19 C, me- = 9.11 x 10-31 kg) that have been accelerated from rest through a 66 V electrostatic potential. If the electrons are to be stacked in circular orbits parallel to the x-z plane with centers on the plane x = a/2, what is the minimum current per wire required if IL and IR are equal in magnitude but opposite in direction?
IL = A
Two infinite sheets of current flow parallel to the y-z plane. The left-hand sheet, which intersects the x-axis at x = 0, consists of an infinite array of wires parallel to the z-axis with a density of n = 910 wires/m and current per wire of IL = 0.14 A in the +zdirection.
The right-hand sheet, which intersects the x-axis at x = a = 12 cm, is identical to the left-hand sheet, except that it has a current per wire of IR = 0.14 A in the -z-direction.
(a) Calculate the y-components of the net magnetic field in the following places:
x1 = -15 cm, x2 =6 cm, and x3 = 24 cm. (The x- and z-components of the B-field are zero.)
B(x1)y = T
B(x2)y = T
B(x3)y = T
Please check the attached file for a detailed answer.
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Where does the
energy used to
complete the task
come from? What
evidence do you
have that the energy
involved in the crane'
example is different
from that in the
wind-up toy
example?
Answer:
it comes from your knowledge and the information you have to get the reason why that is the answer so you are putting together things that you already know what the new information you have
Build your paper cup telephone system?
To Build your paper cup telephone system do the following:
Two cups, some inelastic string, thread, or fishing line, two paper clips, and a pencil or sewing needle are needed to make a paper cup phone.
Use a pencil or sewing needle to make a hole in the bottom of each cup, then thread a string through each hole to make a paper cup phone.
To keep the thread from coming away from the cups, secure each end with a paper clip. One person should speak into one cup, and you should listen through the other.
Pull the string taut. With the cups, you can talk to someone up to 100 feet away.
A string phone functions quite similarly to a landline. Talking into the cup causes the bottom to vibrate as sound waves are transmitted within the cup by your voice.
The other cup's bottom receives the vibrations that are transmitted to the string, across it, and into it. The second cup vibrates as a result of the sound waves transmitting your voice's audio.
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