1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Darina [25.2K]
3 years ago
9

When the displacement in SHM is equal to 1/3 of the amplitude xm, what fraction of the total energy is (a) kinetic energy and (b

) potential energy? (c) At what displacement, in terms of the amplitude, is the energy of the system half kinetic energy and half potential energy? (Give the ratio of the answer to the amplitude)
Physics
2 answers:
Nesterboy [21]3 years ago
7 0

Answer:

Explanation:

Given

Displacement is \frac{1}{3} of Amplitude

i.e. x=\frac{A}{3} , where A is maximum amplitude

Potential Energy is given by

U=\frac{1}{2}kx^2

U=\frac{1}{2}k(\frac{A}{3})^2

U=\frac{1}{18}kA^2

Total Energy of SHM is given by

T.E.=\frac{1}{2}kA^2

Total Energy=kinetic Energy+Potential Energy

K.E.=\frac{1}{2}kA^2 -\frac{1}{18}kA^2

K.E.=\frac{8}{18}kA^2

Potential Energy is \frac{1}{8} th of Total Energy

Kinetic Energy is \frac{8}{9} of Total Energy

(c)Kinetic Energy is 0.5\times \frac{1}{2}kA^2

P.E.=\frac{1}{4}kA^2

\frac{1}{2}kx^2=\frac{1}{4}kA^2

x=\frac{A}{\sqrt{2}}                  

frutty [35]3 years ago
3 0

Answer:

Explanation:

Let the amplitude is A.

Displacement, x = one third of the amplitude = A/3

The total energy of the body executing Simple Harmonic Motion is given by

T=\frac{1}{2}KA^{2}

(a) Kinetic energy of the particle executing SHM is given by

K=\frac{1}{2}K\left (A^{2} -x^{2} \right )

K=\frac{1}{2}K\left (A^{2} -\frac{A}{9}^{2} \right )

K=\frac{1}{2}\times \frac{8A^{2}}{9}

So, the ratio of kinetic energy to the total energy is given by

K / T = 8 / 9

(b) Potential energy of a particle executing SHM is given by

U=\frac{1}{2}Kx^{2}

T=\frac{1}{2}\times \frac{A^{2}}{9}

So, the ratio of potential energy to the total energy is given by

U / T = 1 / 9

(c) Let at a displacement y the kinetic energy is equal to the potential energy

\frac{1}{2}\times K\times \left ( A^{2}-y^{2} \right )=\frac{1}{2}\times K\times y^{2}

y=\frac{A}{\sqrt{2}}

You might be interested in
Which of these statements is correct about photosynthesis and decomposition?
Ede4ka [16]
<span>The last option. Plants absorb carbon dioxide from the atmosphere, water from the soil and other nutrients also from the soil - salts containing nitrogene, potassium, sulphur, etc. They use water and carbon dioxide to produce sugar through photosyntesis. Decomposition is the reaction that converts any organic compound back into inorganic compounds - water, carbon dioxide and salts containing nitrogene, potassium, sulphur, etc. So it's basically the opposite. So photosyntesis uses carbon dioxide as a reactive and take it from the atmosphere, whereas decomposition generates carbon dioxide as a product and releases it to the atmosphere.</span>
7 0
3 years ago
A garage door opener has a power rating of 350 watts.
Lelechka [254]
We Know, Power = Energy/Time
Substitute the known value. which is P = 350 watt, & T = 30 sec
350 = E/30 
E = 350 * 30
E = 1050 Joules.

So, your answer is 1050 Joules.
Hope this helps! Keep studying! 
6 0
3 years ago
Read 2 more answers
If a boulder has a weight of 675,000 N what is it’s mass
Anarel [89]

Weight = (mass) x (acceleration of gravity where the object is)

You didn't tell us WHERE the boulder is, so I have to assume that it's on Mars, where the acceleration of gravity is 3.71 m/s².

675,000 N = (mass) (3.71 m/s²)

Mass = (675,000 N) / (3.71 m/s²)

<em>Mass = 181,941 kilograms</em>

The same weight on Earth would suggest a mass of only 68,807 kg, so you can see how important it is to know where you are when you make your measurements.

6 0
2 years ago
Two fire trucks have sirens that emit waves of the same frequency. As the fire trucks approach a person, the person hears a high
Mumz [18]

Answer:

Only option A is correct

Explanation:

From the concept of Doppler effect, only speed matters. Thus, the faster a vehicle is moving, the closer together the sound waves get compressed and the higher the frequency. For example, for a very fast vehicle traveling at the speed of sound; the compressions are all right on top of each other. Thus, faster speed means closer compressions and higher frequencies. Hence, option only option A must be true because X is a higher frequency and so it must be going faster. The distance to the person will affect the volume but will not the pitch so Option B is not correct. Option C too is not correct because It doesn’t matter whether you are speeding up or slowing down, it only matters who is going faster. For example, from option c concept, if truck X was going 10 m/h and speeding up while truck Y was going 50 mph and slowing down, it would not meet the requirement that X has a higher frequency because only actual speed matters, not what is happening to that speed. Thus only option A is the correct answer

5 0
3 years ago
Discuss the elements of a successful business man or woman
Mrac [35]

In order to indicate that ones business is indeed successful, you need to look into the following characteristics:

<span>·         </span>Planning – oversee the possible mistakes and create plan Bs. Know the company’s statement of purpose, goals, etc.

<span>·         </span><span>Evaluation – assess the plan after its pilot test for area of improvement</span>

3 0
3 years ago
Other questions:
  • A tennis player standing 12.6 m from the net hits the ball at 3.18° above the horizontal. To clear the net, the ball must rise a
    5·1 answer
  • The base of a pyramid covers an area of 13.0 acres (1 acre = 43,560 ft2) and has a height of 481 ft. If the volume of a pyramid
    6·2 answers
  • A tiger travels 3m/s^2 for 4.1s,what was its initial speed if it's final speed was 55k/h?
    15·1 answer
  • A flower pot falling 45 meters hits the ground with a speed of _________.a. about 60 m/s. b. about 120 m/s. c. more than 120 m/s
    12·1 answer
  • Is this true of false <br> Apples and Onions taste the same if you plug your nose?
    14·1 answer
  • If a 8860 N horse has been lifted 4.5 meters by a crane, what work does it have?
    13·1 answer
  • An object is attached to a vertical spring and bobs up and down between points A and B. Where is the object located when its kin
    14·1 answer
  • 2. Kevin works as a janitor, and he is pushing a fully-
    8·1 answer
  • You and your partner want to investigate how the mass of various sports balls will impact their force as they accelerate down a
    15·1 answer
  • The deepest section of ocean in the world is the Marianas Trench, located in the Pacific Ocean. Here the ocean floor is as low a
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!