Using the formula for kinetic energy of a moving particle k=12mv2, find the kinetic energy ka of particle a and the kinetic energy kb of particle
b. remember that both particles rotate about the y axis. express your answers in terms of m, ω, and r separated by a comma.
Answers
Complete Question
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Answer:
The kinetic energy for particle a is [tex]K_a = \frac{9}{2} mr^2 w^2[/tex]
The kinetic energy for particle b is [tex]K_b = m w^2r^2 [/tex]
Explanation:
From the question we are told that
The mass of particle a is [tex]m[/tex]
The mass of particle b is [tex]2 m[/tex]
Generally the kinetic energy for particle a is mathematically represented as
[tex]K_a = \frac{1}{2} m v^2[/tex]
Here [tex]v_a[/tex] is the linear velocity of particle a which is mathematically represented as
[tex]v_b = w * 3r[/tex]
So
[tex]K = \frac{1}{2} m {w * 3r}^2[/tex]
=> [tex]K_a = \frac{9}{2} mr^2 w^2[/tex]
Generally the kinetic energy for particle a is mathematically represented as
[tex]K_b = \frac{1}{2} 2m v_b^2[/tex]
Here [tex]v_b[/tex] is the linear velocity of particle a which is mathematically represented as
[tex]v_b = w * r[/tex]
So
[tex]K_b = m (wr)^2[/tex]
=> [tex]K_b = m w^2r^2[/tex]
The kinetic energy of the particle in terms of angular speed (ω), mass of the object (m) and the radius of the path is [tex]\frac{1}{2} m \omega ^2 r^2[/tex].
The given parameters;
kinetic energy of the particle, K.E = ¹/₂mv²The kinetic energy of the of the particle in terms of the angular velocity is calculated as follows;
[tex]K_b = \frac{1}{2} m (\omega r)^2\\\\K_b = \frac{1}{2} m \omega ^2 r^2[/tex]
where;
m is the mass of the objectω is the angular speed of the objectr is the radius of the circular pathThus, the kinetic energy of the particle in terms of angular speed (ω), mass of the object (m) and the radius of the path is [tex]\frac{1}{2} m \omega ^2 r^2[/tex].
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Related Questions
True or False
The ecological niche of a species is the place where its members live.
Answers
Answer:
true
Explanation:
What is the frequency of a wave that has a period of 5 seconds?
O A. 2 Hz
OB. 5 HZ
O C. 20 Hz
O D. 0.2 Hz
Answers
Answer: D
Explanation:
The frequency of a wave that has a period of 5 seconds is 0.2 Hz. Thus, the correct option is D.
What is Frequency?Frequency of a wave is the number of occurrences of a repeating event per unit of the time. Frequency is also occasionally referred to as the temporal frequency for clarity purpose, and it is distinct from that of angular frequency. Frequency is measured in SI units of hertz which is equal to one event per second of the time.
Frequency can be calculated as the number of waves that pass a fixed place in a given amount of time period. The frequency of a wave that has a period of 5 seconds is:
f = 1/T
where, f = frequency,
T = Time taken
f = 1/ 5
f = 0.2 hertz
Thus, the frequency of the wave is 0.2 hertz.
Therefore, the correct option is D.
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A car traveling initially at the speed of 30 m/s slows down at the rate of -2m/s^2 for a distance of 60 meters. What is the car’s velocity after covering this distance?
Answers
Answer:
Vf = 25.7 [m/s]
Explanation:
To solve this problem we must use the following kinematics equation:
[tex]v_{f} ^{2}= v_{i} ^{2}-(2*a*x)[/tex]
where:
Vf = final velocity [m/s]
Vi = initial velocity = 30 [m/s]
a = desacceleration = 2 [m/s^2]
x = distance = 60 [m]
Note: the negative sign in the equation means that the car slows down.
Now replacing:
[tex]v_{f}^{2}=(30)^{2}-(2*2*60)\\ v_{f}^{2} = 660\\v_{f} =\sqrt{660} \\v_{f}=25.7[m/s][/tex]
The boundary between areas of high and low pressure:
A Front
B Barometer
C Weather
D Air pressure
Answers
10. A force of 24 N was required to accelerate an object at a rate of 4 m/s-. What was the object's mass?
11It look 2.3 seconds for a car's velocity to change from 20 m/s to 35 m/s. The mass of the car was 1370 kg. What force was required to cause the acceleration? (Hint: First calculate the acceleration.)
Answers
Answer:
?
Explanation:?
PHYSICS HELP PLEASE ONE QUESTION 10 POINTS:)
Answers
Case 1 has the greatest strength for the push and pull. Option A is correct.
What is force?The pushes and pulls the body experiences are referred to as force. It can occasionally be used to alter the body's size, shape, and direction.
Mass times acceleration equals force, according to the definition. Newton is its measure.
The force transmitted through a rope, string, or wire as it is tugged by opposing forces is referred to as the tension force.
Energy is drawn equally from both ends by the tension force, which is exerted along the whole length of the wire.
The tension force is acting in the rope causing greater strength for the push and pull.
Hence, option A ia correct.
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I need this one fast!!!!
Nitrous oxide is the chemical name for "laughing gas." What are the names and the number of atoms in a molecule of
nitrous oxide, N2O?
1.one nitrogen atom and two oxygen atoms
2.two nitrogen atoms and one oxygen atom
3. one nitrogen atom and one oxygen atom
4. two nitrogen atoms and two oxygen atoms
Answers
Answer:
b
Explanation:
there are 2 nitrogen and 1 oxygen, you can tell by the little number after the letter. if there is no number, then it's just one atom
Answer:
B.
Explanation:
I got it right on my test.
The convection currents in the asthenosphere cause the movement of the
Answers
Describe at least three ways our understanding of the atom has changed.
Answers
Answer:
The first model of the atom was developed by JJ Thomson in 1904, who thought that atoms were composed purely of negatively charged electrons.
This theory was then disproved by Ernest Rutherford and the gold foil experiment in 1911, where Rutherford shot alpha particles at gold foil, and noticed that some went through and some bounced back, implying the existence of a positive nucleus.
In 1926, the Austrian physicist Erwin Schrödinger created a quantum mechanical model of the atom by combining the equations for the behavior of waves with the de Broglie equation to generate a mathematical model for the distribution of electrons in an atom.
Explanation:
Which unit you would use to measure the following objects? This is so confusing
Answers
Answer:
weight of truck in kg, height of person in meter m, amount of water in kiloliter kl, length of eyelash in mm
When your blood pressure is low, choose a choice below that explains what occurs.
A. The nervous system signals smooth muscles in the blood vessels to relax to decrease blood pressure.
B. The nervous signals smooth muscles in the blood vessels to relax to increase blood pressure.
C. The nervous system signals smooth muscles to contract to decrease blood pressure.
D. The nervous system signals smooth muscles in the blood vessels to contract to increase blood pressure
Answers
Answer:
The correct option is;
D. The nervous system signals smooth muscles in the blood vessels to contract to increase blood pressure
Explanation:
The contraction or relaxation of the vascular smooth muscles lead to the blood vessel volume change and blood pressure change such that the blood is redirected to regions of the body that requires instantaneous increased oxygen intake. As such the nervous system signals the blood vessel's vascular smooth muscle to contract, through vasoconstriction so as to raise the blood pressure, when the blood pressure is low.
Which action describes the first step in both scientific investigation and technological design?
researching how solar panels work
identifying a need for a solar panel
communicating to the team that solar panels are easy to install
designing a solution by sketching a prototype for a solar panel
Answers
Answer:
The best answer would be D
Explanation:
This would be best because if you sketch about an object or thing you are making it can help you better picture what you are making or someone else therefore the answer is D
Answer:
Answer is D fs
Explanation:
*designing a solution by sketching a prototype for a solar panel*
A gust of wind blows an apple from a tree. As the apple falls, the force of gravity on the apple is 9.11 N downward, and the force of the wind on the apple is 1.18 N to the right. What is the magnitude of the net external force on the apple? Answer in units of N. Part 2: What is the direction of the net external force on the apple (measured from the downward vertical, so that the angle to the right of downward is positive)? Answer in units of ◦
Answers
Answer:
The net external force on the apple is 9.18 N and the direction of net force is 82.6°.
Explanation:
Given that,
Force of gravity = 9.11 N
Force of wind = 1.18 N
We need to calculate the net external force on the apple
Using formula of net force
[tex]F'=\sqrt{(9.11)^2+(1.18)^2+2\times1.18\times9.11\cos90}[/tex]
[tex]F'=9.18\ N[/tex]
We need to calculate the direction of net force
Using formula of direction
[tex]\theta=\tan^{-1}(\dfrac{9.11}{1.18})[/tex]
[tex]\theta=82.6^{\circ}[/tex]
Hence, The net external force on the apple is 9.18 N and the direction of net force is 82.6°.
The magnitude of the net external force on the apple is 9.19 N and the direction of the net external force is 82.6⁰.
The given parameters;
weight of the apple, W = 9.11 Nhorizontal force on the apple, F = 1.18 NThe magnitude of the net external force on the apple is calculated as follows;
[tex]F= \sqrt{F_y^2 + F_x^2} \\\\F= \sqrt{9.11^2 + 1.18^2} \\\\F = 9.19 \ N[/tex]
The direction of the net external force on the apple is calculated as follows;
[tex]\theta = tan^{-1}(\frac{F_y}{F_x} )\\\\\theta = tan^{-1}(\frac{9.11}{1.18} )\\\\\theta = 82.6 \ ^0[/tex]
Thus, the magnitude of the net external force on the apple is 9.19 N and the direction of the net external force is 82.6⁰.
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what is the acceleration of an object that entered of a force 200 N if the object mass was 100 kg?
Answers
Answer:
The answer is 2 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
[tex]a = \frac{f}{m} \\ [/tex]
where
f is the force
m is the mass
From the question we have
[tex]a = \frac{200}{100} \\ [/tex]
We have the final answer as
2 m/s²Hope this helps you
A ball is thrown horizontally from a 11 m high building with a speed of 9.0 m/s.
How far from the base of the building does the ball hit the ground?
Express the answer using two significant figures.
Answers
Answer:
the answer to you're question is d=9
Which items are needed for a plant to become fertilized?
egg
pollen
embryo
seed
Answers
Fertilization in flowering plants happens through a process called pollination.
If you force the magnitude of the vector to stay the same, but increase the vertical component value, what happens to the horizontal component of the vector?
Answers
Answer:
The horizontal component reduces
Explanation:
The magnitude of a vector is found by taking the root of the sum of the squares of the components of the vector
Therefore, when the values of one of the components is increased, while the other components of the vector stay the same, the magnitude of the vector increases
In order to increase the value of one of the components of a vector and maintain the magnitude of the vector, the values of one or more of the other components must be reduced.
As such when the magnitude of the vector that has only a vertical and a horizontal component is forced to stay the same, and the vertical component is increased, the horizontal component must be reduced.
The increase in vertical component of the vector, causes a decrease in the horizontal component of the vector.
A vector can be represented in vertical and horizontal components.
[tex]V = V_x + V_y[/tex]
where;
[tex]V_x[/tex] is the horizontal component of the vector[tex]V_y[/tex] is the vertical component of the vector[tex]V = Vsin(\theta) \ + Vcos(90-\theta)[/tex]
From the formula above, as one component vector increases, the other component reduces.
Thus, the increase in vertical component of the vector, causes a decrease in the horizontal component of the vector.
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How much work is done to move a 1,000 N car 20 meters?
Answers
Answer:
The answer is 20,000 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distanceFrom the question
force = 1,000 N
distance = 20 m
We have
workdone = 1000 × 20
We have the final answer as
20,000 JHope this helps you
all known frequencies of the visible spectrum are..
a. solar light
b. light
c. black light
Answers
Explanation:
[tex]b. \: light[/tex]
What is the potential energy of a 2 kg plant that is on a windowsill 1.3 m high
Answers
Answer:
25.506J
Explanation:
Ep = mgh
given that ,
m = 2kg
h =1.3m
g = 9.81 m/s^2
Ep= 2 × 1.3 × 9.81
Ep= 25.506J
If a rock is skipped into a lake at 24 m/s2 with what force as the rock
thrown if it was '1,75 kg?
Answers
Answer:
Force = Mass * Acceleration
Explanation:
24*1.74= 42 N
jayleen has a mass of 35 kg and is riding her bike and experiences a 62 N force as shown. What is the expected magnitude of acceleration for Jayleen?
1.8 m/s²
2170 m/s²
343 m/s²
0 m/s²
Answers
Answer:
The answer is 1.8 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
[tex]a = \frac{f}{m} \\ [/tex]
where
m is the mass
f is the force
From the question we have
[tex]a = \frac{62}{35} \\ = 1.7714285...[/tex]
We have the final answer as
1.8 m/s²Hope this helps you
Lili 57 seconds to walk from Clash of Clan library at the distance between the classroom in library 30am at whatever speed did Lily walk in m/min __m/min
Answers
Answer:
7mph
Explanation:
What do x-direction and y-direction refer to when discussing an object's motion
Answers
Answer:
The x-direction and y-direction refer are used to refer to the location of an object as well as to the components of the motion of the object in a two dimensional space
Explanation:
In physics, in the analysis of the motion of an object in two dimensional space, the relative location of the object is specified using the measured distances in the x-direction from the y-axes and y-direction from the x-axes
In order to accurately specify the motion of the object, information regarding the component of the motion of the object in the x-direction and the component in the y-direction are required
13. Which of the following would have NO momentum?
A person running
A table
A moving bus
Answers
Answer:
a table
Explanation:
If an object has two forces acting on it, how can the net force equal 0?
Answers
Answer:
Check explanation.
Explanation:
Net force is essentially the sum of the forces enacting upon an object. One example of net force is gravity and normal force. It is commonly accepted that every object has a force acting upon it, even if it is stationary. To give an example, the weight of an object has a force upon the earth but the earth pushes back, essentially meaning that the object will not sink.
A baseball is thrown vertically downward from the top of a 155 m tower with an initial velocity of -25 m/s. How long will it take, until it reaches the ground?
Answers
Answer:
t = 2.55 s
Explanation:
Given that,
Height from which the baseball is thrown, h = 155 m
Initial velocity of the baseball, u = -25 m/s
We need to find the time taken by it to reach the ground. Let the time is t. Using equation of kinematics to find it as follows:
[tex]v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{0-(-25)}{9.8}\\\\t=2.55\ s[/tex]
So, it will take 2.55 seconds to reach the ground.
how long does it take a dollar bill that is 6 inches long to drop through its length (hint: Convert the length to meters and use a formula to find the time taken for the dollar to free fall through this length)
Answers
Answer:
3.4seconds
Explanation:
if a dollar was times for how long it would fall down to its length it would be 3.4 seconds
Igneous rocks are formed from _____.
sedimentary rocks
fossils and shells
magma
eroded land
Answers
Answer:
magma
Explanation:
actually cooling and solidification of magma
. Explain What makes the rock cycle a cycle?
SC.7.E.6.2 hi how do you do this
Answers
The Rock cycle is a model that describes the formation degradation, and regeneration of rocks as a result of sedimentation magma, and metamorphism. All rocks are made of minerals.
Rock circulation is the process by which rocks change continuously between three types igneous sedimentary and metamorphic. The three processes that transform one rock into another are crystallization, metamorphism erosion, and sedimentation. Any rock can be transformed into another rock by undergoing one or more of these processes. This creates a lock cycle.
Rock circulation is a fundamental concept that describes the transition between three rock types metamorphic igneous, and sedimentary rocks. Simply put it is a set of processes that create and transform rock types within the Earth's crust. Rock cycling by definition is the natural process by which sedimentary igneous, and metamorphic rocks are formed, transformed from one type to another, and destroyed.
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