23. While sliding a couch across a floor, Andrea and Jennifer exert forces F → A and F → J on the couch. Andrea’s force is due n
1 answer:
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Answer:
1.
2.
3.
4. α = 59.05°
5.
6. α = 59.05°
Explanation:
The position of the center of mass 1s before the collision is:
where
;
;
;
;
Replacing these values:
where
;
;
;
;
Replacing these values:
The velocity of their center of mass is:
where
;
;
;
;
Replacing these values:
where
;
;
;
;
Replacing these values:
So, the magnitude of the velocity is:
The angle of the velocity is:
Since on any collision, the velocity of the center of mass is preserved, then the velocity after the collision is the same as the previously calculated value of 16.66m/s at 59.0° due north of east
Answer:
The distance between the 2 points is 4.6558 meters.
Explanation:
The distance between 2 points is given by
In our case the given 2 points are hence the distance is
Answer:
The polar coordinate of is
.
Explanation:
Given a point in rectangular form, that is , its polar form is defined by:
(1)
Where:
- Norm, measured in meters.
- Direction, measured in sexagesimal degrees.
The norm of the point is determined by Pythagorean Theorem:
(2)
And direction is calculated by following trigonometric relation:
(3)
If we know that and
, then the components of coordinates in polar form is:
Since and
, direction is located at 3rd Quadrant. Given that tangent function has a period of 180º, we find direction by using this formula:
The polar coordinate of is
.