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
Vilka [71]
3 years ago
15

What is the magnitude of the velocity when the elastic potential energy is equal to the kinetic energy? (Assume that U=0 at equi

librium.)
Physics
1 answer:
zhannawk [14.2K]3 years ago
6 0

Answer:

Explanation:

General Equation of SHM is given by

x=A\cos \omega t

v=-A\omega \sin \omega t

where x=position of particle

A=maximum Amplitude

\omega =angular frequency

t=time

At any time Total Energy is the sum of kinetic Energy and Elastic potential Energy i.e. \frac{1}{2}kA^2

where k=spring constant

Potential Energy is given by U=\frac{1}{2}kx^2

also it is given that Potential Energy(U) is equal to Kinetic Energy(K)

Total Energy=K+U

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

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

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

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

velocity is v=\frac{A\omega}{\sqrt{2}}

You might be interested in
What is the change in potential energy if the distance separating the electron and proton is increased to 1.0 nm?
Vlada [557]

Answer:

Ep=-2.3*10^{-19}J

Explanation:

The change in potential energy can be expressed as:

Ep=K.\frac{q1.q2}{r}

where K is a constant with a value of 9*10^{9}\frac{N.m^{2}}{C^{2}}, q1 and q2 are the charges of the proton and the electron and r is the distance between them.

The charge for the proton is +1.6*10^{-19}C and the charge for the electron is -1.6*10^{-19}C.

Converting r=1.0nm to m:

1.0nm*\frac{1*10^{-9}m}{1.0nm}=1*10^{-9}m

Replacing values:

Ep=9*10^{9}\frac{N.m^{2}}{C^{2}}.\frac{(+1.6*10^{-19}C).(-1.6*10^{-19}C)}{1*10^{-9}m}

Ep=-2.3*10^{-19}J

5 0
2 years ago
vaccines are used to prevent disease. they are given to patients as dead or weakened forms of a virus. which disease would most
Anton [14]
Flu,because it has the capacity of better fight influenza and it has no bad side effects and it can be taken easily as nasal spray or in the arm.
6 0
3 years ago
Read 2 more answers
What travels faster than anything anything else in the universe?
cluponka [151]

Answer:

The announcement he had made promised to overturn our understanding of the Universe. If the data gathered by 160 scientists working on the project were correct, the unthinkable had been observed. Particles – in this case, neutrinos – had travelled faster than light.

Explanation:  Plz Mark brainleist

4 0
2 years ago
PLEASE HELP WITH THIS QUESTION. ​
Sophie [7]

Answer:

#2 and #3 respectively

Explanation:

6 0
3 years ago
Match the following:
joja [24]

Explanation:

1. study of conversion of heat to mechanics → thermodynamics

A branch of physical science which deals with heat and other forms of energy.

2. The Law of Conservation of Energy  → first Law of Thermodynamics

Energy cannot be created nor be destroyed. According to first law of thermodynamics total energy of the system is always constant.

3. Result of applied energy  → work

Work is the way of system to release its energy.

4. Principle that states that in any energy transformation some energy is dissipated as heat  → Second Law of Thermodynamics

5. energy of motion  → kinetic energy

Kinetic energy is defined as energy possessed by the body due to its motion.

6. work/displacement  → force

Work is product of force and displacement.

Work=Force \times displacement

Force=\frac{Work}{displacement}

7. power · time  → energy

Power is defined energy per unit time.

Power=\frac{Energy}{Time}

Energy=Power\times Time

8. Device that transforms heat energy into mechanical energy →  heat engine

heat engine is a device which converts the heat energy which is released due to combustion of fuel into a useful work that is mechanical energy.

9 . Energy due to position  → potential energy

Potential energy is defined as energy possessed by the body due to its position.

10. efficiency of a heat engine unit of heat  → calorie

11. Measure of molecular motion  → Temperature

Kinetic energy is directly proportional to temperature.

Greater the motion more will be the kinetic energy and with more will be the temperature.

12. Heat given off by a liquid with no change in temperature  → latent heat of fusion

Latent heat of fusion is defined as heat released by 1 mole of substance when it under goes phase change that is from solid to liquid.

13. Motion within solids  → vibrational motion

Vibrational motion is the motion in which particle oscillates from its mean position.

14. Phase of matter on the sun → plasma

Plasma is hot ionized gas with equal number of positive and negative ions. Due to high temperature of sun most the gas are in the plasma state.

8 0
3 years ago
Other questions:
  • Alex collides with a desk as he runs through his office. If the combined
    7·2 answers
  • A cart is loaded with a brick and pulled at constant speed along an inclined plane to the height of a seat-top. If the mass of t
    15·2 answers
  • Which of the following represents a chemical change? (1 point)
    14·1 answer
  • Gravitational force is determined by which of the following
    6·1 answer
  • A resistor is connected in series with a power supply of 23.90 V. The current measure is 0.60 A. What is the resistance (in Ω) o
    15·1 answer
  • What ions are formed when hcl dissolves in water?
    5·1 answer
  • Which moon of uranus has the greatest variety of landforms of any body yet examined?
    10·2 answers
  • A 10.0-g bullet is fired into a stationary block of wood having mass 5.00 kg. The bullet embeds 10 pts into the block and the sp
    6·1 answer
  • If an object is NOT accelerating, then one knows for sure that it is ___.
    5·1 answer
  • A veritical brass rod of circular section is loaded by placing a 10 kg wt on top of it .if it's length is 1 m. it's radius of cr
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!