Answer:
- magnitude : 1635.43 m
- Angle: 130°28'20'' north of east
Explanation:
First, we will find the Cartesian Representation of the
and
vectors. We can do this, using the formula

where
its the magnitude of the vector and θ the angle. For
we have:


where the unit vector
points east, and
points north. Now, the
will be:

Now, taking the sum:

This is




Now, for the magnitude, we just have to take its length:



For its angle, as the vector lays in the second quadrant, we can use:




Answer:
1.241/s
Explanation:
From this question, we have the following information:
Mass of oscillator = 310
The time Period, t = 0.180
Decrease = 20 %
Amplitude of oscillation has the formula
A = Aoe^yt
1-20% = 80%
= 0.80
Y x 0.18 = -ln(0.8)
= 0.18Y = 0.2234
Y = 0.2233/0.18
Y = 1.241/s
The damping constant y is Therefore equal to 1.241s