Answer:
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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.
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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An observer recorded the following data for the motion of a car undergoing constant acceleration.
Time (s)
3.0
5.0
6.0
Speed (m/s)
4.0
7.0
8.5
What was the magnitude of the acceleration of the car?
4.5 m/s2
O 2.0 m/s2
3.0 m/s2
1.5 m/s2
Option D) 1.5 m/s² is the correct answer.
The magnitude of the acceleration of the car is 1.5 m/s².
given the data in the question;
record of the observation;
Time(s) Speed(m/s)
3.0 4.0
5.0 7.0
6.0 8.5
Since its undergoing constant acceleration, we can make use any two from the three data recorded.
So, lets consider motion between t₁ = 3.0s and t₂ = 5.0s
Initial velocity at t₁ ; u = 4.0 m/s
final velocity at t₂; v = 7.0 m/s
Now, Time Elapsed; [tex]t = t_2 - t_1 = 7.0s - 5.0s = 2.0s[/tex]
To determine the magnitude of acceleration "a", we use the first equation of motion which says;
[tex]v = u + at[/tex]
we make "a" the subject of the formula
[tex]a =\frac{v - u}{t}[/tex]
so we substitute in our values;
[tex]a = \frac{(7.0m/s) - (4.0m/s)}{2.0s}[/tex]
[tex]a = \frac{3.0m/s}{2.0s}[/tex]
[tex]a = 1.5 m/s^2[/tex]
Therefore, the magnitude of the acceleration of the car is 1.5 m/s².
Option D) 1.5 m/s² is the correct answer.
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force
(smaller)
large piston
small piston
distance
moved
distance
moved
A
force (greate
liquid that cannot
be compressed
The weight of the car is 5000N. The area of the piston (B) that lifts the car is 0.
(a) What is the pressure needed in the liquid to lift the car?
Answer:
Answer is a force liquid that cannot be compresed
on edgenuity
Explanation:
A ball is shot horizontally at 17.3m/s from the roof of a building 55.2 m tall, (use g = 9.8 m/s ^ 2) How far from the base of the building does the ball land?
Given that,
The initial speed of a ball, u = 17.3 m/s
It is shot from the roof of a 52 m tall building, h = 52 m
It is required to find the distance from the base of the building the ball land. Let the distance be d.
Final velocity of the ball, v = 0 (when it lands)
We can use third equation of motion to find it.
[tex]v^2-u^2=2ad[/tex]
a = -g
[tex]-u^2=-2gd\\\\d=\dfrac{u^2}{2g}\\\\d=\dfrac{(17.3)^2}{2\times 9.8}\\\\d=15.26\ m[/tex]
So, it will land at a distance of 15.26 m.
What does normal force have to do with gravity?
Answer:
grav times mass equals force
Explanation:
my little cousin wanted me to ask this so, How does thermal energy travel to Earth?
Heat moves in three ways: Radiation, conduction, and convection. Radiation happens when heat moves as energy waves, called infrared waves, directly from its source to something else. This is how the heat from the Sun gets to Earth. In fact, all hot things radiate heat to cooler things.
on Mars, the acceleration due to gravity is 3.8 m/s². what would a book weigh on the surface of Mars?
Answer: 5.5
Explanation: its simply different from the others
why displacement has a fixed direction and change in position
The position of an object is where it sits on the number line. When the object moves to another position, its displacement is the second position minus the first position.
Δ x = x2 − x1
The word displacement implies we keep track of which way the movement occurs. In one dimension the direction is indicated by the sign: negative if to the left and positive if to the right. The word distance means how far the object moves regardless of direction. It is always positive and is equal to the absolute value, or magnitude, of the displacement.
If one follows the rule of always subtracting the first position from the second, the sign always works out to be positive if the displacement is to the right and negative if the displacement is to the left.
In the lab, a student is investigating the effects of texting and driving on reaction time. A
student determines his/her reaction time by having a friend release a meter stick at
random intervals while the driver sends text messages. The student, on average,
catches the meter stick after it has traveled 0.64 m.
How far will the student
travel in a car moving at 25 m/s horizontally before reacting?
9.0 m
0.64 m
69 m
We know that we can write the speed of something as the quotient between the distance it moves and the time it takes to move that distance.
speed = distance/time
Using this, we will find that the correct option is the first one, 9.0 m
The information we know is:
The student, on average, catches the meter stick after it has traveled 0.64m
We need to transform this into time.
Assuming that the meter stick is just released, the only acceleration it will have is the gravitational one, so we have:
a(t) = -9.8m/s^2
To get the velocity of the stick we need to integrate over time, as the it is just released, it will not have initial velocity, thus the constant of integration is zero:
v(t) = (-9.8m/s^2)*t
To get the position equation we need to integrate again, and as the initial position is relative, we can define it as zero, so again the constant of integration is zero:
p(t) = (1/2)(-9.8m/s^2)*t^2
p(t) = (-4.9 m/s^2)*t
We know that the student catches the stick after it traveled (downwards) 0.64m
Then we need to solve:
-0.64m = (-4.9 m/s^2)*t
√[(-0.64m)/(-4.9m/s^2)] = t = 0.36s
So the reaction time of the student is 0.36 seconds.
Now we can use the first equation:
speed = distance/time
And rewrite it as:
distance = speed*time
So if the car moves at 25m/s and the student needs 0.36 s to react, the distance that he/she will move in that time frame is:
d = (25m/s)*0.36s = 9.0m
So the correct option is the first one.
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HELP FAST PLEASE. NEWTON'S LAWS.
Two persons A and B are walking with the speed of 5km/h and 6km/h respectively in the same direction. Find how far will B be from A after 2 hours??
Answer:2 km
Explanation:
A girl lifts a ball of 2 kg from the ground up vertically a height of 0.5 meters. How much
work does she do?
How is spring force different in a compressed spring versus a stretched spring?
Answer:
if you pull on a spring and stretch it, then you do work. that's bc you're applying a force over a displacement. your pull is the force and the amount that you stretch the spring is the displacement. a spring can be stretched or compressed.
A care package is dropped from an airplane flying at 1000 m above sea level with a velocity of 200 m/s to an island. If it takes the package 15s to fall how far away from the island must the package be dropped?
Answer:
3000
Explanation:
PLEASE HELP ASAP!! IF YOU CAN
As current increases, the magnetic field strength increases.
An oil drop (m = 1.6 x 10-16 kg) is suspended between plates separated by 1.8 cm. The voltage
across the plates is 125 V. Is this possible?
Answer:
E = V / d 125 V / .018 m = 6940 V/m electric field
F = E Q force on Q due to E
F = E n e where n is the number of electrons in Q
m g = E n e
n = m g / E e where n is the number of electrons e needed to support drop
n = 1.6 * 10E-16 * 9.8 / (6940 * 1.6 * 10E-19)
n = 1.41
Since n needs to be an integral number of charges, the drop would
not be suspended (motionless under these conditions).
Chanel has some cotton candy that came in a cloudy shape. She wants to make it more dense. Which describes the candy before and after Chanel manipulated it? The candy before was a cube, and the candy after was a ball. The candy before was compacted, and the candy after was fluffy. The candy before was fluffy, and the candy after was compacted. The candy before was a ball, and the candy after was a cube.
Answer:
The candy before was fluffy, and the candy after was compacted.
Explanation:
By definition, something that is fluffy is something very soft, and when you talk about fluffy food (e.g. cakes, cotton candy) it is food that has a lot of air in it. In this case, the cotton candy originally had the shape of a cloud and was not dense, therefore, it was fluffy.
Something that is compact, it something that is dense, solid and generally small. Since Chanel wanted her cotton candy to be more dense, she compacted it .
Answer:
c
Explanation:
what is v^2=0.05-4.9 please i need this asap
Answer:
v =2.02
Explanation:
v^2=0.05-4.9
v^2=-4.85
square root both side
v=2.02
^^^^this is a not a perfect square
A force of 6.0 Newton’s gives a 2.0kg block an acceleration of 3.0m/s to the right. The force of friction acting on the block is?
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THANK YOU FOR LIVING ILYYY
Answer:
O: girl- aww your so sweeet thanks for that!!!!! like fr ive
been feeling so sad):
How long does it take a cyclist to increase his velocity from 4.0m/s to 10m/s if he accelerates at 3.0m/s2
The force between two charged balls is 6.0 x 10-6 N. If we
double the distance and the charges on one ball, what's the
new force between the two charged balls? k= 9.0 x 10°
10- The voltage across the generator of
the circuit of figure 13 is 12V and
the voltmeter V2 indicates 8V:
А
ס
N.
V
L1
L2
B
L
Fig.13
a- What would the voltmeter V3 indicate?
Justify the answer
b- What would the voltmeter Vi indicate?
Justify the answer
hey! i just wanted to ask if you found the answer because i’m looking for it
In your own words, explain the difference between a conductor and an insulator.
(4th grade)
Answer: There are different kinds of conductors, most notably electrical and thermal conductors. But they are often inclusive of each other (electrical conductors are typically good thermal conductors). A conductor transmits something through its body with high efficiency while an insulator does not transmit very well. In the case of electricity, a conductor transmits electrical energy between two points while an insulator blocks the flow of electricity. Two examples of conductors are copper and silver. Two examples of insulators are wood and styrofoam.
Explanation:
what are the main components of circulatory system and what is the function?
Answer:
Explanation:
The circulatory system is made up of blood vessels that carry blood away from and towards the heart. Arteries carry blood away from the heart and veins carry blood back to the heart. The circulatory system carries oxygen, nutrients, and hormones to cells, and removes waste products, like carbon dioxide.
What is the mass of a 7 kg bowling ball on the moon?
Answer:
7 kg
Explanation:
Mass remains the same, regardless of gravity. If the mass of the bowling ball is 7kg on Earth, the mass on the moon will be 7kg as well.
The magnitude of vector A is 10. Which of the following could be the components of A?
a) Ax= 5 , Ay= 5
b) Ax= 6 , Ay= 8
c) Ax= 7 , Ay= 9
d) Ax= 10 , Ay= 10
Answer: B. Ax = 6, Ay=8
Explanation:
which of the following is most likely to happen when energy is transferred to an object?
Answer:
B. the object will begin to move
Explanation:
If energy is transferred the object will definitely change so it CANNOT be "A". If you add energy the object will have more force so it CANNOT be "C". The mass of an object can't increase just by giving an object energy so it CANNOT be "D"
physical egicatinal facts
Answer:
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Consider any ocean wave, what is the relationship between an ocean wave and the energy of that wave?
A) Wave energy decreases as the wave moves closer to the shore
B) The greater the wavelength, the more kinetic energy the wave has
C) Wave energy is directly proportional to the amplitude of the wave
D) Wave energy increases with frequency and decreases with wavelength
Answer:
C.
Explanation:
Wave energy is directly proportional to the amplitude of the wave. It is a square function.. double the amplitude (wind/solar power picks up) the energy in the ocean wave is quadrupled.
Wave energy is directly proportional to the amplitude of the wave. Therefore, option C is correct.
What is wave energy?Waves of heat, light, sound, and water carry a variety of energies. All types of energy can be converted into work because energy is defined as the capacity to perform work. The movement of an object in the direction of the force acting on it is referred to as work in science. When they move items, waves do really work. This process is evident when sand is carried or large logs are moved across ocean basins.
Work can also be transformed into the acoustic energy produced when waves crash on the coast. The potent force of waves can also be used to move generator components and generate electricity.
A wave's energy content is influenced by its height, wavelength, and breaking point in addition to other factors. When waves of identical wavelengths fall back to sea level, the wave with the greater amplitude will release more energy than the wave with the lesser amplitude. Therefore, option C is correct.
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