The Galilean transformation equations describe how, in classical nonrelativistic mechanics, the position, velocity, and accelerations measured in one frame appear in another. Lengths remain unchanged and a single universal time scale is assumed to apply to all inertial frames.
Newton’s laws of mechanics obey the principle of having the same form in all inertial frames under a Galilean transformation, given by
The concept that times and distances are the same in all inertial frames in the Galilean transformation, however, is inconsistent with the postulates of special relativity.
The relativistically correct Lorentz transformation equations are
We can obtain these equations by requiring an expanding spherical light signal to have the same shape and speed of growth,
c , in both reference frames.
Relativistic phenomena can be explained in terms of the geometrical properties of four-dimensional space-time, in which Lorentz transformations correspond to rotations of axes.
The Lorentz transformation corresponds to a space-time axis rotation, similar in some ways to a rotation of space axes, but in which the invariant spatial separation is given by
rather than distances
and that the Lorentz transformation involving the time axis does not preserve perpendicularity of axes or the scales along the axes.
The analysis of relativistic phenomena in terms of space-time diagrams supports the conclusion that these phenomena result from properties of space and time itself, rather than from the laws of electromagnetism.
Problems
Describe the following physical occurrences as events, that is, in the form (
x ,
y ,
z ,
t ): (a) A postman rings a doorbell of a house precisely at noon. (b) At the same time as the doorbell is rung, a slice of bread pops out of a toaster that is located 10 m from the door in the east direction from the door. (c) Ten seconds later, an airplane arrives at the airport, which is 10 km from the door in the east direction and 2 km to the south.
Describe what happens to the angle
and therefore to the transformed axes in
[link] , as the relative velocity
v of the S and
frames of reference approaches
c .
The angle
α approaches
and the
and
rotate toward the edge of the light cone.
Describe the shape of the world line on a space-time diagram of (a) an object that remains at rest at a specific position along the
x- axis; (b) an object that moves at constant velocity
u in the
x- direction; (c) an object that begins at rest and accelerates at a constant rate of in the positive
x- direction.
A man standing still at a train station watches two boys throwing a baseball in a moving train. Suppose the train is moving east with a constant speed of 20 m/s and one of the boys throws the ball with a speed of 5 m/s with respect to himself toward the other boy, who is 5 m west from him. What is the velocity of the ball as observed by the man on the station?
When observed from the sun at a particular instant, Earth and Mars appear to move in opposite directions with speeds 108,000 km/h and 86,871 km/h, respectively. What is the speed of Mars at this instant when observed from Earth?
A man is running on a straight road perpendicular to a train track and away from the track at a speed of 12 m/s. The train is moving with a speed of 30 m/s with respect to the track. What is the speed of the man with respect to a passenger sitting at rest in the train?
A man is running on a straight road that makes
with the train track. The man is running in the direction on the road that is away from the track at a speed of 12 m/s. The train is moving with a speed of 30 m/s with respect to the track. What is the speed of the man with respect to a passenger sitting at rest in the train?
In a frame at rest with respect to the billiard table, a billiard ball of mass
m moving with speed
v strikes another billiard ball of mass
m at rest. The first ball comes to rest after the collision while the second ball takes off with speed
v in the original direction of the motion of the first ball. This shows that momentum is conserved in this frame. (a) Now, describe the same collision from the perspective of a frame that is moving with speed
v in the direction of the motion of the first ball. (b) Is the momentum conserved in this frame?
a. The second ball approaches with velocity −
v and comes to rest while the other ball continues with velocity −
v ; b. This conserves momentum.
In a frame at rest with respect to the billiard table, two billiard balls of same mass
m are moving toward each other with the same speed
v . After the collision, the two balls come to rest. (a) Show that momentum is conserved in this frame. (b) Now, describe the same collision from the perspective of a frame that is moving with speed
v in the direction of the motion of the first ball. (c) Is the momentum conserved in this frame?
In a frame S, two events are observed: event 1: a pion is created at rest at the origin and event 2: the pion disintegrates after time
. Another observer in a frame
is moving in the positive direction along the positive
x -axis with a constant speed
v and observes the same two events in his frame. The origins of the two frames coincide at
(a) Find the positions and timings of these two events in the frame
(a) according to the Galilean transformation, and (b) according to the Lorentz transformation.
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
hello. autism is a umbrella term. autistic kids have different disorder overlapping. for example. a kid may show symptoms of ADHD and also learning disabilities.
before treatment please make sure the kid doesn't have physical disabilities like hearing..vision..speech problem. sometimes these
Jharna
continue..
sometimes due to these physical problems..the diagnosis may be misdiagnosed.
treatment for autism.
well it depends on the severity.
since autistic kids have problems in communicating and adopting to the environment.. it's best to expose the child in situations where the child
Jharna
child interact with other kids under doc supervision.
play therapy.
speech therapy.
Engaging in different activities that activate most parts of the brain.. like drawing..painting. matching color board game.
string and beads game.
the more you interact with the child the more effective
Jharna
results you'll get..
please consult a therapist to know what suits best on your child.
and last as a parent. I know sometimes it's overwhelming to guide a special kid.
but trust the process and be strong and patient as a parent.
Jharna
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