if a particle performing shm of amplitude 10 cm at what distance from the mean position is the kinetic energy 2 time the potential energy
Answers
The equation for kinetic energy of shm system is given by;
KE=0.5mw²(A²-x²)
where m is the mass of the object
w² is the angular frequency
A is the amplitude
and x is the positive
The equation for the potential energy is given by;
PE=0.5mw²x²
Solve KE=2PE and you get ur answer
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Given:
Amplitude [tex]\displaystyle\sf A = 10\,\text{cm} = 0.1\,\text{m}[/tex]
We want to find [tex]\displaystyle\sf x[/tex] such that the kinetic energy [tex]\displaystyle\sf KE[/tex] is twice the potential energy [tex]\displaystyle\sf PE[/tex].
Using the formulas for kinetic energy and potential energy in SHM:
[tex]\displaystyle\sf KE = \dfrac{1}{2}mv^{2}[/tex]
[tex]\displaystyle\sf PE = \dfrac{1}{2}kx^{2}[/tex]
Since we are considering the same particle, the mass [tex]\displaystyle\sf m[/tex] cancels out. Therefore, we can compare the expressions for [tex]\displaystyle\sf KE[/tex] and [tex]\displaystyle\sf PE[/tex]:
[tex]\displaystyle\sf \dfrac{1}{2}kx^{2} = 2\left(\dfrac{1}{2}kA^{2}\right)[/tex]
Simplifying this equation:
[tex]\displaystyle\sf kx^{2} = 2kA^{2}[/tex]
Dividing both sides by [tex]\displaystyle\sf k[/tex]:
[tex]\displaystyle\sf x^{2} = 2A^{2}[/tex]
Taking the square root of both sides:
[tex]\displaystyle\sf x = \sqrt{2}A[/tex]
Substituting the value of [tex]\displaystyle\sf A[/tex]:
[tex]\displaystyle\sf x = \sqrt{2} \times 0.1\,\text{m}[/tex]
Calculating the value:
[tex]\displaystyle\sf x = 0.1414\,\text{m}[/tex]
Converting to centimeters:
[tex]\displaystyle\sf x = 0.1414 \times 100\,\text{cm}[/tex]
[tex]\displaystyle\sf x \approx 14.14\,\text{cm}[/tex]
Therefore, the distance from the mean position at which the kinetic energy is twice the potential energy is approximately [tex]\displaystyle\sf 14.14\,\text{cm}[/tex].
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Related Questions
Scientific knowledge builds upon previous knowledge."
Which situation does NOT illustrate this statement?
A) Theodor Schwann using his knowledge about plant cells and experimenting to see if the same was true about animal cells.
B) Becquerel's accidental discovery of radiation when photographic plates were inadvertently left near a radioactive rock.
C) Robert Hooke using the Galileo's microscope to help create a compound microscope which is stronger and better that Galileo's.
D) Matthias Schleiden taking the knowledge gained by Robert Brown about the nucleus of the cell to develop a new thought about the role of the nucleus in cell development.
Answers
Answer:
c
Explanation:
Which best describes the definition for the atomic mass of an element?
It is a weighted average of the masses of an element’s isotopes.
It is a ratio based on the mass of the carbon-12 atom.
It is the sum of the protons and neutrons in one atom of the element.
It is twice the number of protons in one atom of the element.
Answers
Answer:
It is a weighted average of the masses of an element’s isotopes.
Explanation:
The best definition of the atom mass of an element is that it is a weighted average of the masses of an element's isotopes.
Isotopes of an element have the same electronic configuration but differ in only their masses. The atomic mass of an element can be derived from the geonormal abundances of this isotopes. It is the average of all the isotopes of an element.Atomic mass = ∑m[tex]_{i}[/tex] a[tex]_{i}[/tex]
where m[tex]_{i}[/tex] is the mass of the isotope i
a[tex]_{i}[/tex] is the abundance of the isotope i
PLEASE HELP!!!! WILL MARK BRAINLEST!!
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 25 N acts on a certain object, the acceleration of the object is 5 /ms2. If the force is changed to 40 N, what will be the acceleration of the object?
Answers
Answer:
3
Explanation:
the change in velocity is 15, and if I'm right which I may not be you divide your change in velocity by your speed being 5 and get 3. i googled the equation to find acceleration and found a = v/t. this could be absolutely wrong but I hope it helps
Which factor affects the speed of a wave?
A. medium the wave travels through
B. reflection of the wave
C. transmission of the wave
D. amplitude of the wave
Answers
The minimum resultant of two forces of 20N and 5N is:
a) 10N
b) 5N
c) 20N
d) 25N
Answers
Answer:
if it's combined forces then it would be 25N if it was an unbalanced force then it would be 15N
Parents play a key role in educational success.true or false
Answers
The periodic table was created by grouping elements according to their properties. An unknown substance was shown to contain a metal element with an atomic mass around 28. With which of the following elements is it most likely grouped?
A. nitrogen
B. carbon
C. boron
D. oxygen
Answers
What is the speed of a snail moving at a rate of 3 inches per minute in [m/s]? Recall that 1 [m] = 39 [in]. Round to the nearest ten thousandth (4 places after the decimal).
Answers
Answer:
0.0013 m/s
Explanation:
Speed in inches per minute = 3 inches per minute
Speed in m/s =?
Next, we shall convert 3 inches per minute (3 in/min) to metre per minute.(m/min)
39 in/min = 1 m/min
Therefore,
3 in/min = 3 in/min × 1 m/min / 39 in/min
3 in/min = 1/13 m/min
Finally, we shall convert 1/13 m/min to m/s. This can be obtained as follow:
1 m/min = 1/60 m/s
Therefore,
1/13 m/min = 1/13 m/min × 1/60 m/s / 1 m/min
1/13 m/min = 1/780 m/s
1/13 m/min = 0.0013 m/s
Thus, 3 in/min is equivalent to 0.0013 m/s.
Therefore the speed of the snail in m/s is 0.0013 m/s
1. A buoyant force of 790 N lifts a 214 kg sinking boat.What is the boat's
net acceleration?
Answers
1. Explain a stretching routine for your work environment. As you consider your routine, keep in mind the specific individuals within your work environment who will be using this plan. How will you account for differences in sizes, ages, and cultures?
Answers
Answer:
Explanation:
A stretching routine should target most of the main muscles in the body and at least one stretching exercise per section of the body. Also in a work environment since individual's sizes, ages, and cultures vary you should design a routine that is for beginners and very easy and effective. Regardless, each individual should be able to move at their own pace and push as far as they are physically able. One such routine would be the one in the attached picture below which targets all major areas, is easy and effective. It starts at the neck muscles and works its way down the arms, back, and legs.
A place with a tropical climate would most likely be located (1 point)
a. near the equator
b. at high altitudes
c. near the poles
d. in the middle of a continent
Answers
Answer:
near the equator
Explanation:
the equator is at the center of both hemispheres, and gets the most direct sunlight year round. Therefore, it would be the most tropical.
four friends argued about why an apple on the ground eventually ros away and disappears. This is eventually what they said
Anna:"I think it's just something that happens over time
Selma: "I think small organisms use it for energy building material"
Felicia: I think the atoms and molecules in the Apple just break apart
Logan: I think wind and water soften it and it dissolves into the soil
Eli: I think water and air rot into it then small animals come and eat the rest
jack: I think it gets old and breaks apart into pieces too small to see
which student do you agree most with explain_________
Answers
Answer:
All but felicia are right I believe?
Explanation:
Where does the energy in the explosion of a firecracker come from?
Answers
Answer:
The firecracker has chemical potential energy that is released when it is ignited.
Explanation:
Eric traveled east for 150 miles in 2 hours. Then he went west for 40 miles in 1 hour. What is the average velocity?
Answers
Answer:
190 is the average velocity.
Explanation:
Just add them together
pls awnser short i need awnsers
Answers
Answer:
4. 0.12mm
5:
a. screw gauge
b. caliper
Answer:
0.11 mm
vernier calipers
im not sure about the sure about B
Explanation:
Light travels slower in oil than in air. If a light wave moves through the oil at a speed of 2 x 108 m/s and the wavelength of this light wave is 2 x 10-3 m, what is the frequency of this wave?
1 x 105 Hz
4 x 10-24 Hz
4 x 105 Hz
1 x 1011 Hz
Answers
The frequency of this wave will be 1 × 10¹¹ Hz. Option d is correct. Frequency is the inverse of the time period.
What is the frequency?Frequency is defined as the number of repetitions of a wave occurring waves in 1 second.
The given data in the problem is;
v is the speed of light = 2 x 10⁸ m/s
[tex]\lambda[/tex] is the wavelength = 2 x 10⁻³ m,
f is the frequency of the wave is to be found;
Frequency is given by the formula as,
[tex]\rm v = \lambda \times f \\\\\ \rm f = \frac{v}{\lambda} \\\\ \rm f = \frac{2 \times 10^8}{2 \times 10^-3} \\\\ \rm f = 1 \times 10^{11} \ Hz[/tex]
Hence the frequency of this wave will be 1 × 10¹¹ Hz. Option d is correct.
To learn more about the frequency reference the link;
https://brainly.com/question/14926605
Ice melts in your
glass of water. What method of heat transfer causes this?
Answers
The driver of a car slams on the brakes, causing the car to slow down at a rate of
20.0ft/s as the car skids 295ft to a stop.
How long does the car take to stop?
What was the car’s initial speed?
Answers
Answer:
The time taken for the car to stop is 5.43 s.
The initial velocity of the car is 108.6 ft/s
Explanation:
The following data were obtained from the question:
Acceleration (a) = –20 ft/s² (since the car is coming to rest)
Distance travalled (s) = 295 ft
Final velocity (v) = 0 ft/s
Time taken (t) =?
Initial velocity (u) =?
Next, we shall determine the initial velocity of the car as shown below:
v² = u² + 2as
0² = u² + (2 × –20 × 295)
0 = u² + (–11800)
0 = u² – 11800
Collect like terms
0 + 11800 = u²
11800 = u²
Take the square root of both side
u = √11800
u = 108.6 ft/s
Therefore, the initial velocity of the car is 108.6 ft/s.
Finally, we shall determine the time taken for the car to stop as shown below:
Acceleration (a) = –20 ft/s² (since the car is coming to rest)
Final velocity (v) = 0 ft/s
Initial velocity (u) = 108.6 ft/s
Time taken (t) =?
v = u + at
0 = 108.6 + (–20 × t)
0 = 108.6 + (–20t)
0 = 108.6 – 20t
Collect like terms
0 – 108.6 = – 20t
– 108.6 = – 20t
Divide both side by –20
t = – 108.6 / –20
t = 5.43 s
Therefore, the time taken for the car to stop is 5.43 s.
Shira listed the steps for protein production in cells. 1. A strand of RNA is made. 2. RNA leaves the nucleus. 3. RNA moves to the ribosome. 4. A protein is made. Which step is missing? DNA unzips after step 1. DNA unzips before step 1. DNA is replicated after step 3. DNA is replicated before step 3.
Answers
Answer: DNA unzips before step 1
Explanation:
RNA is gotten from DNA.
Answer: (B)
Explanation:
im as shure this answer is right as the world is round and slightly slanted
HELP ASAP am being timed will brain crown mark!
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Two descriptions about physical quantities are given below:
Quantity A: It remains constant.
Quantity B: It depends on gravitational pull.
What quantities are these most likely describing?
Both Quantity A and Quantity B are mass.
Both Quantity A and Quantity B are weight.
Quantity A is weight and Quantity B is mass.
Quantity A is mass and Quantity B is weight.
Answers
Answer:
The answer is D.
Explanation:
This is because mass always remains constant and weight is dependent on a gravitational pull.
Erica tells Michael she is 160 centimeters tall, while Michael says he is 70 inches tall. If there are 2.54 centimeters in an inch, whos taller?
Answers
Answer:
Michael
Explanation:
160cm = 62.9921 inches
70in > 63in
please help me in this
Answers
Answer:
its d
Explanation:
Power is measured in which unit?
joules
O watts
O meters per second
O newtons per meter
Answers
Answer:
Power is measured in Watts
An object with a mass of 2000 g accelerates 8.3 m/s2 when an unknown force is applied to it. What is the amount of the force?
Answers
Answer:
16.6 kg.m/sec^2
Explanation:
force law is mass times acceleration
PLS ANSWER ASAP
A golf ball travels upwards and rightward through the air. Of the forces listed, identify which act upon the golf ball.
a) normal force
b) tension
c) gravity
d) applied
e) air resistance
f) friction
Answers
Answer:
Gravity, normal force, friction, and air resistance.
Explanation:
Assuming the ball is on earth, there is always gravity acted upon the object.
Since the problem said that the golf ball is moving throughout the air, we can tell that there will be air resistance and friction(air resistance is a type of friction). There is also normal force pushing on the ball as it bumps into the air, as the air is pushing back with an equal and opposite force.
I don't know what you mean by "applied", so I don't think there's that type of force exerted on the ball.
Lastly, tension only occurs when you pull a string/rope. There is no string/rope in this case, so there is no tension exerted on the ball.
I hope this helped you.
The force acting upon the golf ball which is traveling upward and rightward through the air is gravity, normal, friction, and air resistance, so options A, C, E, and F are correct.
What is friction?A force that prevents two solid objects from smoothly sliding or rolling over one another is known as friction. Despite the potential benefits of frictional forces, such as the traction needed to walk without slipping, they can still present a sizable amount of resistance to motion. Automobile engines use about 20% of their output to overcome frictional forces in moving parts.
The ball will always be affected by gravity if it is on earth. We can infer that there will be air resistance and friction because the issue said that the golf ball is traveling through the air (air resistance is a type of friction).
The air is pushing back on the ball with an equal and opposite force when it bumps into it, adding to the regular force that is pushing on it. Finally, tension can only be created by pulling a string or rope. Since there is no string or rope present, the ball is not under any tension.
Therefore, the force acting upon the golf ball which is traveling upward and rightward through the air is gravity, normal, friction, and air resistance.
To know more about Friction:
https://brainly.com/question/28356847
#SPJ2
Somebody plz answer these easy questions correct thx!!!
(WILL MARK BRAINLIEST)
:D
Answers
Answer:
6. Dolphins have two nasal passages
7. In a whale flipper there are:
Limbs: Cetacean flippers have the same bones as the forelimbs of other mammals. The humerus, radius, ulna, carpals, metacarpals and phalanges are all present. However, in cetaceans the radius and ulna (forearm) and humerus (upper arm) are fused.
Hope this helps! :D
Answer:
they have 2 nasal passages
A hockey puck sliding on a frozen lake comes
to rest after traveling 176 m.
If its initial velocity is 2.3 m/s, what is its
acceleration
Answers
Given parameters:
Distance traveled = 176m
Initial velocity = 2.3m/s
Unknown:
Acceleration = ?
Solution:
Acceleration is the change in velocity with time. To solve this problem, we apply one of the motion equations;
V² = U² + 2as
where V is the final velocity
U is the initial velocity
a is the acceleration
s is the distance
final velocity is 0;
0² = 2.3² + 2 x a x 176
-5.29 = 352a
a = - [tex]\frac{5.29}{352}[/tex] = - 0.015m/s²
39.Explain the working mechanism of a mercury barometer.
Answers
How far does light travel in 13 s?
Answers
Answer:
2,421,666 miles
Explanation:
light travels 186,282 miles per second in a vaccum.
So 186,282 × 13 = 2,421,666
An object with a negative velocity could have a positive acceleration.
Answers
Answer:
True
Explanation:
An object which moves in the negative direction has a negative velocity. If the object is slowing down then its acceleration vector is directed in the opposite direction as its motion (in this case, a positive acceleration).