Problem Solving | Should your directions to a friend for traveling from one city to another include displacements or distances?
Explain.
1 answer:
This should include distances. Displacement is the shortest distance from point A to point B. Distance is the total length of travel. For an example I have included a simple map.
Displacement would not be an accurate representation of the driving instructions because it would not tell the total length of travel. Basically, the driver would be going through buildings if you told them displacement. Directions would tell them the roads traveled.
Displacement would not be an accurate representation of the driving instructions because it would not tell the total length of travel. Basically, the driver would be going through buildings if you told them displacement. Directions would tell them the roads traveled.
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Answer:
Explanation:
The equation to calculate the center of mass of a particle system is:
In this case we can arrange for one dimension, assuming the geometric center of the Earth and the ladder are on a line, and assuming original center of mass located at the Earth's geometric center:
Where:
is the mass of the Earth
is the mass of 1 billion people
is the radius of the Earth
is the distance between the center of the Earth and the position of the people (2 m above the Earth's surface)
This is the displacement of Earth's center of mass from the original center.
Answers:
a)
b)
c)
d)
Explanation:
For this situation we will use the following equations:
(1)
(2)
Where:
is the <u>height of the model rocket at a given time</u>
is the i<u>nitial height </u>of the model rocket
is the<u> initial velocity</u> of the model rocket since it started from rest
is the <u>velocity of the rocket at a given height and time</u>
is the <u>time</u> it takes to the model rocket to reach a certain height
is the <u>constant acceleration</u> due gravity and the rocket's thrust
<h2>a) Time it takes for the rocket to reach the height=4.2 m</h2>
The average velocity of a body moving at a constant acceleration is:
(3)
For this rocket is:
(4)
Time is determined by:
(5)
(6)
Hence:
(7)
<h2>b) Magnitude of the rocket's acceleration</h2>
Using equation (1), with initial height and velocity equal to zero:
(8)
We will use :
(9)
Finding :
(10)
<h2>c) Height of the rocket 0.20 s after launch</h2>
Using again but for
:
(11)
(12)
We will use equation (2) remembering the rocket startted from rest:
(13)
(14)
Finally:
(15)