A 20.0 F capacitor initially charged to 30.0 uC is discharged through a 3.00 k resistor. How long does it take to reduce the cap
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To solve this problem it is necessary to apply the trigonometric ratios of the given velocity components.
If we make a graph of the velocity vectors in their respective velocities according to the given description we will have something similar to the attached graph.
The angle could be obtained from the components of the opposite leg and the adjacent leg so that
The opposite leg value (y) is 40cm / s and the adjacent leg (x) is 30cm / s
Therefore the final direction that does the first ball is 36.87°
To solve this problem it is necessary to apply the concepts related to the conservation of energy, specifically the potential elastic energy against the kinetic energy of the body.
By definition this could be described as
Where
k = Spring constant
x = Displacement
m = mass
v = Velocity
This point is basically telling us that all the energy in charge of compressing the spring is transformed into the energy that allows the 'impulse' seen in terms of body speed.
If we rearrange the equation to find v we have
Our values are given as
Replacing at our equation we have then,
Therefore he speed of the car before impact, assuming no energy is lost in the collision with the wall is 2.37m/s