A ball starts from rest. It rolls down a ramp and reaches the ground after 4 seconds. Its final velocity when it reaches the gro
2 answers:
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Answer:
The resonant frequency of this circuit is 1190.91 Hz.
Explanation:
Given that,
Inductance,
Resistance, R = 150 ohms
Capacitance,
At resonance, the capacitive reactance is equal to the inductive reactance such that,
f is the resonant frequency of this circuit
So, the resonant frequency of this circuit is 1190.91 Hz. Hence, this is the required solution.
Answer:
8.6 m
Explanation:
The motion of a soccer ball is a motion of a projectile, with a uniform motion along the horizontal (x-) direction and an accelerated motion along the vertical (y-) direction, with constant acceleration towards the ground (we take upward as positive direction, so acceleration is negative).
The initial velocity along the vertical direction is
Now we can consider the motion along the vertical direction only. the vertical velocity at time t is given by:
At the point of maximum height, , so we can find the time t at which the ball reaches the maximum height:
And now we can use the equation of motion along the y-axis to find the vertical position of the ball at t=1.33 s, which corresponds to the maximum height of the ball: