Answer:
- The magnitude of the vector
is 107.76 m
Explanation:
To find the components of the vectors we can use:

where
is the magnitude of the vector, and θ is the angle over the positive x axis.
The negative x axis is displaced 180 ° over the positive x axis, so, we can take:






Now, we can perform vector addition. Taking two vectors, the vector addition is performed:

So, for our vectors:


To find the magnitude of this vector, we can use the Pythagorean Theorem



And this is the magnitude we are looking for.
Answer:
Part a)

Part b)

Explanation:
Part a)
as the mass of the suspension system is given as

also we have

so now for force balance we have



Part b)
Now we know that amplitude decreases by 63% in each cycle
so after one cycle the amplitude will become 37% of initial amplitude
so it is given as

also we know




here t = time period of one oscillation
so it is



now damping constant is


<span>The
thermal energy found in a piece of coal is lesser than in the thermal energy in
a newly opened coal mine. The newly opened coal mine requires a greater thermal
energy to really open it due to its solid structure. Whereas in a piece of
coal, it only requires a lesser amount of thermal energy to extract it.</span>
The electric field between the plates is equal to the potential difference across the plates divided by the separation of the plates.
The potential difference across the plates is equal to the charge stored divided by the capacitance.
Answer:
the answer from my side is both vertical and horizontal