Helioseismology In 1962, physicists at Cal Tech discovered that the surface of the Sun vibrates due to the violent nuclear reactions that roil within its core. This has led to a new field of solar science known as helioseismology. A typical vibration of the Sun is shown in Figure 13.39 ; it has a period of 5.7 minutes. The blue patches in Figure 13-39 are moving outward; the red patches are moving inward. (a) Find the angular frequency of this vibration. (b) The maximum speed at which a patch of the surface moves during a vibration is 4.5 m/s. What is the amplitude of the vibration, assuming it to be simple harmonic motion ? Figure 13-39 A typical vibration pattern of the Sun. (Problem 78)
Helioseismology In 1962, physicists at Cal Tech discovered that the surface of the Sun vibrates due to the violent nuclear reactions that roil within its core. This has led to a new field of solar science known as helioseismology. A typical vibration of the Sun is shown in Figure 13.39 ; it has a period of 5.7 minutes. The blue patches in Figure 13-39 are moving outward; the red patches are moving inward. (a) Find the angular frequency of this vibration. (b) The maximum speed at which a patch of the surface moves during a vibration is 4.5 m/s. What is the amplitude of the vibration, assuming it to be simple harmonic motion ? Figure 13-39 A typical vibration pattern of the Sun. (Problem 78)
Helioseismology In 1962, physicists at Cal Tech discovered that the surface of the Sun vibrates due to the violent nuclear reactions that roil within its core. This has led to a new field of solar science known as helioseismology. A typical vibration of the Sun is shown in Figure 13.39; it has a period of 5.7 minutes. The blue patches in Figure 13-39 are moving outward; the red patches are moving inward. (a) Find the angular frequency of this vibration. (b) The maximum speed at which a patch of the surface moves during a vibration is 4.5 m/s. What is the amplitude of the vibration, assuming it to be simple harmonic motion?
Figure 13-39 A typical vibration pattern of the Sun. (Problem 78)
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
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Yanıtınız
Two identical objects A and B fall
10 puan
from rest from different heights to
the ground and feel no appreciable
air resistance. If object B takes
TWICE as long as object A to reach
the ground, what is the ratio of the
heights from which A and B fell?
O hA/hB = 1/sqrt(2)
%3D
hA/hB = 1/2
%3D
O hA/hB = 1/3
%3D
O hA/hB = 1/4
%3D
O hA/hB = 1/8
%3D
10 puan
An object is moving in a straight line along the x-axis. A plot of its velocity in the x direction as a
function of time is shown in the figure. Which graph represents its acceleration in the x direction
as a function of time?
5A
=
Material point of mass m moves under the influence of force F-kr = –krî
With in other words, the mass m is at the tip of an isotropic harmonic oscillator with
equilibrium position at the origin of the axes.
a) Calculate the potential energy V(r) of m.
b) To design qualitatively
1) the potential energy V(r) of the mass m,
2) its "centrifugal" dynamic energy (r) = 1² /2mr² where L is the measure of
angular momentum of the mass m and r its distance from the origin of the axes, and
3) the active potential energy of U(r) = V (r)+ Vä(r).
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