Answer:
The moment of inertia of this system is 68 kilogram-square meters.
Explanation:
We have two particles rotating about the z-axis, which is orthogonal to xy plane, the moment of inertia of the system ([tex]I_{z}[/tex]), measured in kilogram-square meters, is determined by the following formula:
[tex]I_{z} = \Sigma \limits_{i=1}^{2}m_{i}\cdot r_{i}[/tex] (1)
Where:
[tex]m_{i}[/tex] - Mass of the i-th particle, measured in kilograms.
[tex]r_{i}[/tex] - Distance of the i-th particle from axis of rotation, measured in meters.
By Pythagorean Theorem we calculate each distance:
[tex](x_{1}, y_{1}, z_{1}) = (4\,m, 0\,m,0\,m)[/tex]
[tex]r_{1}=\sqrt{(4\,m-0\,m)^{2}+(0\,m-0\,m)^{2}+(0\,m-0\,m)^{2}}[/tex]
[tex]r_{1} = 4\,m[/tex]
[tex](x_{2},y_{2}, z_{2}) = (0\,m, 3\,m, 0\,m)[/tex]
[tex]r_{2} = \sqrt{(0\,m-0\,m)^{2}+(3\,m-0\,m)^{2}+(0\,m-0\,m)^{2}}[/tex]
[tex]r_{2} = 3\,m[/tex]
If we know that [tex]m_{1} = 2\,kg[/tex], [tex]r_{1} = 4\,m[/tex], [tex]m_{2} = 4\,kg[/tex] and [tex]r_{2} = 3\,m[/tex], then the moment of inertia of the system is:
[tex]I_{z} = m_{1}\cdot r_{1}^{2}+m_{2}\cdot r_{2}^{2}[/tex] (1b)
[tex]I_{z} = (2\,kg)\cdot (4\,m)^{2}+(4\,kg)\cdot (3\,m)^{2}[/tex]
[tex]I_{z} = 68\,kg\cdot m^{2}[/tex]
The moment of inertia of this system is 68 kilogram-square meters.
a car accelerates from rest to a speed of 36 km/hour in 10 seconds. find
the acceleration
the distance travelled
the speed at the end of the 5th second
Answer: ok, so there should be no speed at the 5th second but there was somehow it was the car fault
∞ω∞
a. Some materials exhibit the property of superconductivity under certain conditions.
State what is meant by superconductivity and explain the required conditions for the
material to become superconducting.
Answer:
Conditions for Superconductivity
The material must be cooled below a characteristic temperature, known as its superconducting transition or critical temperature (Tc). ... The magnetic field to which the material is exposed must be below a characteristic value known as the critical magnetic field (Hc).
What is the area around an object that can attract or repel other objects in that area?
A - field
B - force
C - fission
D - friction
Answer:
A
Explanation:
I got it right with that :>
Why are scientists choosing to colonize Mars rather than another planet?
Scientists are choosing to colonize Mars rather than another planet out of curiosity, the potential for humans to provide more in-depth observational research than uncrewed rovers, economic interest in its resources, and the possibility that the settlement of other planets could decrease the likelihood of human extinction.
What is colonization of mars?Colonization requires the establishment of permanent habitats that have the potential for self-expansion and self-sustenance.
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What is the purpose of using an ammeter to demonstrate that a moving
magnet causes an electric current to flow in a wire coil?
A. It detects any current in the wire.
B. It protects the investigators from receiving an electric shock.
C. It increases the strength of the permanent magnet.
D. It takes the place of the battery needed for an electromagnet.
Answer: A
Explanation:
Answer:
The answer is A. It detects any current in the wire.
Explanation:
I took the quiz.
A 0.10 g flea, having leapt from the surface of a dog’s cranium, is observed to be moving at 1.25 m/s when it is 5.00 cm above the position from which it leapt. What was the elastic potential energy stored in its legs before its leap
Answer:
E.P.E = 1.27 x 10⁻⁴ J = 0.127 mJ
Explanation:
From Law of Conservation Energy, we know that:
Elastic Potential Energy Stored = Gain in Kinetic Energy + Gain in Gravitational Potential Energy
E.P.E = (1/2)mv² + mgh
where,
E.P.E = Elastic Potential Energy = ?
m = mass of flea = 0.1 g = 1 x 10⁻⁴ kg
v = speed = 1.25 m/s
g = 9.8 m/s²
h = height = 5 cm = 0.05 m
Therefore,
E.P.E = (1/2)(1 x 10⁻⁴ kg)(1.25 m/s)² + (1 x 10⁻⁴ kg)(9.8 m/s²)(0.05 m)
E.P.E = 0.78 x 10⁻⁴ J + 0.49 x 10⁻⁴ J
E.P.E = 1.27 x 10⁻⁴ J = 0.127 mJ
A wave has a frequency of 15,500 Hz and a wavelength of 0.20 m. What is the
speed of the wave? Use the equation v=fx2.
A. 0.0000013 m/s
B. 3100 m/s
O C. 78,000 m/s
D. 0.00032 m/s
Answer:
it's B for a pe x
Explanation:
The intensity of a sound wave at a fixed distance from a speaker vibrating at 1.00 kHz is 0.750 W/m2. (a) Determine the intensity if the frequency is increased to 2.20 kHz while a constant displacement amplitude is maintained.(b) Calculate the intensity if the frequency is reduced to 0.250 kHz and the displacement amplitude is quadrupled.
Answer:
a) I = 3.63 W / m² , b) I = 0.750 W / m²
Explanation:
The intensity of a sound wave is given by the relation
I = P / A = ½ ρ v (2π f [tex]s_{max}[/tex])²
I = (½ ρ v 4π² s_{max}²) f²
a) with the initial condition let's call the intensity Io
cte = (½ ρ v 4π² s_{max}²)
I₀ = cte s² f₀²
I₀ = cte 10 6
If frequency is increase f = 2.20 10³ Hz
I = constant (2.20 10³) 2
I = cte 4.84 10⁶
let's find the relationship of the two quantities
I / Io = 4.84
I = 4.84 Io
I = 4.84 0.750
I = 3.63 W / m²
b) in this case the frequency is reduced to f = 0.250 10³ Hz and the displacement s = 4 s or
I = cte (f s)²
I = constant (0.250 10³ 4)²
I = cte 1 10⁶
the relationship
I / Io = 1
I = Io
I = 0.750 W / m²
*
Which of the following cannot be an example of projectile motion
A. A football flying through the air
B. An apple falling from a tree
C. A pencil rolling on the ground
D.A rocket dropping from its maximum height
How does the velocity of a falling object change with time? How would you describe the mathematical relationship between velocity and time of a falling object?
Answer:
Increases with time via the relationship:
velocity = acceleration * time = g * t
Explanation:
Since the object is falling under the constant acceleration due to gravity, its velocity is increasing with time. Such relationship can be described via the equation:
velocity = acceleration * time = g * t
Where the direction of the acceleration due to gravity (g) (pointing downwards) is in the same direction of that of the object's velocity.
What is the frequency of an xray with a wavelength of 2x10-10m?
a) 1.5x1018hz
b) 6.67x10-19hz
c) 3x108hz
d) 1.5hz
Show calculation
Answer:
1.5 x 10¹⁸hz
Explanation:
Given parameters:
Wavelength = 2 x 10⁻¹⁰m
Unknown:
Frequency = ?
Solution:
To find the frequency, use the expression below;
V = f x wavelength
V is the speed of light = 3 x 10⁸m/s
f is the frequency
Now;
Insert the parameters
3 x 10⁸ = 2 x 10⁻¹⁰ x frequency
Wavelength = [tex]\frac{3 x 10^{8} }{2 x 10^{-10} }[/tex] = 1.5 x 10¹⁸hz
In central Texas there is a large domed hill of pink granite surronund by low hills of more common bedrock of Texas, limestone. Develop and explain your hypothesis for how this mineral dome was formed.
Answer:
It was probably formed by when the particles were pressed together.
Explanation:
Answer:
Formed by particles pressed against each other
Explanation:
What statement best describes how wind weathered this rock
The rock slowly moved over time due to the force of the wind.
The shape of the rock changed when the pressure of wind increased.
The rock broke down when the wind blew particles of sand against it.
The rock broke down when the temperature in the air decreased.
Answer:
the rock breaks down when the wind blows particles of sand against it.
Explanation:
because the sand can easily be decomposed and temperature easily accessible to it cause line of weaknesses of the rock to break down
Which best describes the surface of a concave mirror?
O It is flat.
0 It is textured.
Olt curves outward.
0 It curves inward.
Answer:
It curves inward
Explanation:
Of the choices given it is the only one that makes sense
Considering the concave mirror to be a part of a large sphere and the outer surface polished, we can say it curves inward.
Concave mirror:There are three types of mirrors: plain mirrors, convex mirrors, and concave mirrors.
The plain mirrors are the ones which we use in our houses. It has both the sides flat, front and back. With the back end polished to reflect light.
It is obvious that the back end of the mirror must be silvered or polished in order to reflect light.
In the case of concave mirrors, if we consider it a part of a large sphere, then the outer surface is silvered or polished and the inner surface is the surface that is used as a mirror,
So, we can say that a concave mirror curves inward.
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A motor requires 400 joules of energy to lift a 5.0 kg mass 2.0 meters. Calculate the efficiency of this motor.
Answer:
25%
Explanation:
use F=mg
then use the answer you get from that and plug it into W=Fxh
take that answer and divide it by 400 J and multiply by 100
round to sig figs
A 15-cm-diameter CD has a mass of 25 g.A. What is the CD's moment of inertia for rotation about a perpendicular axis through its center?B. What is the CD's moment of inertia for rotation about a perpendicular axis through the edge of the disk?
Solution :
The moment of inertia for a circular disc about its centre is given by
[tex]$I=\frac{mr^2}{2}$[/tex]
Given , radius of CD, [tex]$r=\frac{d}{2}$[/tex]
[tex]$r=\frac{1.5 \times 10^{-2}}{2}$[/tex]
[tex]$=7.5 \times 10^{-2} \ m$[/tex]
A).
The moment of inertia of CD about its centre is
[tex]$I_{centre}=\frac{mr^2}{2}$[/tex]
[tex]$=\frac{25 \times 10^{-3}\times (7.5 \times 10^{-2})^2}{2}$[/tex]
[tex]$= 7\times 10^{-5} \ kg \ m^2$[/tex]
B).
The moment of inertia about parallel axis of CD with respect to its central axis is given by the parallel axis theorem,
[tex]$I_{p}=I_c + md^2$[/tex]
where, d is the distance between the parallel axis and central axis
Therefore, moment of inertia of CD about its edge is
[tex]$I_p=I_c +md^2$[/tex]
[tex]$=\frac{mr^2}{2}+mr^2$[/tex]
[tex]$=\frac{3}{2}mr^2$[/tex]
[tex]$=\frac{3(25 \times 10^{-3})\times (7.5 \times 10^{-2})^2}{2}$[/tex]
[tex]$=2.1 \times 10^{-4} \ kg \ m^2$[/tex]
(a) The CD's moment of inertia for rotation about a perpendicular axis through its center is [tex]7.031 \times 10^{-5} \ kgm^2[/tex]
(b) The CD's moment of inertia for rotation about a perpendicular axis through the edge of the disk is [tex]2.11 \times 10^{-4} \ kgm^2[/tex]
The given parameters;
diameter of the CD, d = 15 cmradius of the CD, r = 7.5 cmmass of the CD, m = 25 g = 0.025 kg(A) The CD's moment of inertia for rotation about a perpendicular axis through its center is calculated as follows;
[tex]I_c = \frac{1}{2} mr^2\\\\I_c = \frac{1}{2} \times 0.025 \times (0.075)^2\\\\I_c = 7.03 1 \times 10^{-5} \ kgm^2[/tex]
(B) The CD's moment of inertia for rotation about a perpendicular axis through the edge of the disk is calculated as;
[tex]I_p = I_c + mr^2\\\\I_p = (7.031 \times 10^{-5}) \ + \ 0.025 \times (0.075)^2\\\\I_p = 2.11 \times 10^{-4} \ kgm^2[/tex]
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According to the scientific theory of atoms, which of the following statements best describes the location of electrons ?
Answer:
According to the scientific theory of atoms, which of the following statements best describes the location of electrons? answer choices. in the nucleus of the atom.
Explanation:
Answer: D
Explanation: trust me
If a feather and an iron bar were fired at the same height in a room without any air resistance, which would fall first and why?
Can someone help quickly please and thank you
Answer:
I think D??
Explanation:
3). If you record a light wave at 400 nm long, what is its frequency?
Pleassee helppp!!
Answer:
Violet light has a wavelength of ~400 nm, and a frequency of ~7.5*1014 Hz.
Explanation:
Imagine that you are approaching a black hole in a spacecraft. What would you see? What would happen to you?
(please a short simple answer if possible)
A 45 N brick is suspended by a light string over a 2.0 kg pulley. Initially, the pulley is prevented from rotating. The pulley is then released from rest. What is the angular speed of the pulley at the instant it has rotated through 5 radians. The pulley may be considered a solid disk of radius 1.5 m. What is the angular speed of the pulley? I know the answer is 7.33 rad/s but i need to know how they got to this answer.
Answer: 17.3rad/secs.
Explanation:
Given data:
m = 2.0kg
f = 45N
radius of the disk = 1.5m
Solution:
First we determine the kinetic energy of the the system
= 1/2jw^2 + 1/2m(wR)^2
when the brick falls at wR m/s
= 1/2( j + mR^2)w^2
= 1/2 (1/2MR^2 + mR^2)w^2
Loss in potential energy when the brick drops
= 5rad * 1.5m
= 7.5m
Therefore;
45N * 7.5m = 1/2Iw^2
where;
I = 1/2mr^2
angular speed
w = √4*45*7.5/(2*1.5^2)
= 17.3rad/secs
5) True or False: Inertia is the ability for an object to keep its motion
O True
O False
Answer:
true
Explanation:
Sara goes to her apartment on the fifth floor by elevator from
the ground floor. The whole journey is 18.0 meters. If Sara hasmass 60 kg, what is the gravitational potential energy gained
by her? Estimate gas 9.81m/s2.
Answer: 10595 J
Explanation: cK-12 Potential Energy
The gravitational potential energy gained by Sara if she has a mass of 60 kg and the distance of the journey is 18 meters is 10584 Joules.
What is gravitational potential energy?The potential energy that a huge item has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy. When two objects descend toward one another, the potential energy associated with the gravitational field is released (transformed into kinetic energy). Bringing two things farther apart increases the gravitational potential energy.
Given:
The distance of the journey, d = 18 meters,
The mass of Sara, m = 60 kg,
Calculate the potential energy by the following formula,
PE = m × g × d
Here, PE is the potential energy and g is gravitational acceleration,
Substitute the values,
PE = 60 × 18 × 9.8
PE = 10584 Joules
Therefore, the gravitational potential energy gained by Sara if she has a mass of 60 kg and the distance of the journey is 18 meters is 10584 joules.
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explain the flow of energy needed to bring electrical energy to the city
Three elements are required to create an electric current: a supply of freely flowing electric charges (electrons), some kind of push to move the charges across the circuit, and a path to carry the charges.
What is Electrical energy?Electrical energy is a type of energy that is related to forces on electrically charged particles and electrically charged particle motion (often electrons in wires, but not always). Electric current and electric potential, which is also known as voltage because it is measured in volts, are delivered via an electrical circuit to provide this energy.
When charged particles and a voltage difference combine, as in static electricity or a charged capacitor, motion (current) is not necessary. Instead, the moving electrical energy is often transformed into another kind of energy.
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plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help meeeeeeeeeeeeeeeeeeeeeee 15 points
Answer:
ALUMINUM ITS ALUMINUM BRO
Explanation:
Can any answer this plzz
Answer: u failed both sad welp ill try to help
Explanation:
MY weenie hurts ;( pls help am so sad ;(((((((((
Answer:
What??? maybe not keep doing what you are doing.
Explanation:
I don't know
Given a force of 56 N and an acceleration of 7 m/s2, what is the mass?
Answer:
8 kgExplanation:
The mass of an object can be found by using the formula
[tex]m = \frac{f}{a} \\ [/tex]
f is the force
a is the acceleration
From the question we have
[tex]m = \frac{56}{7} \\ [/tex]
We have the final answer as
8 kgHope this helps you
Answer:
8 kg*m/s (8 kg)
Explanation:
f= 56 N
a= 7 m/s^2
m= ?
m= 56 N / 7 m/s^2
= 8 kg*m/s
(8 kg)
Which statement describes how a machine can help make work easier? It can put out more force than the input force by decreasing the distance over which force is applied. It can increase the amount of work performed if the output force is in the same direction as the input force. It can apply a greater output force over a greater distance compared to the input force and distance. It can increase the distance over which output force acts by applying less output force than input force.
Answer:
It can apply a greater output force over a greater distance compared to the input force and distance.
Explanation:
A machine helps to multiply force input and makes it easier to do work. Simple and complex machines are need to make work easier.
Most machines are designed to increase the input force by a system of mechanics. Machines allow force to be applied over great distances and this allows for the input work done to be duly compensated for.Answer:
C. It can apply a greater output force over a greater distance compared to the input force and distance.
Explanation:
