You place a 3.0-m-long board symmetrically across a 0.5-m-wide chair to seat three physics students at a party at your house. If
60-kg Dan sits on the left end of the board and 50-kg Tahreen on the right end of the board, where should 54-kg Komila sit to keep the board stable? Ignore the mass of the board and treat each student as point-like objects The positive r-direction is to the right, and the origin is at the center of the chair
Part A Determine the coordinate of the leftmost point on the board where Komila can sit to keep the board stable
Part B Determine the coordinate of the rightmost point on the board where Komila can sit to keep the board stable
Part A Determine the coordinate of the leftmost point on the board where Komila can sit to keep the board stable
Part B Determine the coordinate of the rightmost point on the board where Komila can sit to keep the board stable
1 answer:
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<h2>Answer: 277.777 m</h2>
Explanation:
The situation described here is parabolic movement. However, as we are told that the rock was<u> projected upward from the surface</u>, we will only use the equations related to the Y axis.
In this sense, the movement equations in the Y axis are:
(1)
(2)
Where:
is the rock's final position
is the rock's initial position
is the rock's initial velocity
is the final velocity
is the time the parabolic movement lasts
is the acceleration due to gravity at the surface of the moon
As we know , equation (2) is rewritten as:
(3)
On the other hand, the maximum height is accomplished when :
(4)
(5)
Finding :
(6)
Substituting (6) in (3):
(7)
(8) Now we can calculate the maximum height of the rock
(9)
Finally: