An ideal air-filled parallel-plate capacitor has round plates and carries a fixed amount of equal but opposite charge on its pla
1 answer:
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Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The tension is
b
The time taken is
c
The position for maximum velocity is
S = 0
d
The maximum velocity is
Explanation:
The free body for this question is shown on the second uploaded image
From the question we are told that
The mass of the bob is
The angle is
The length of the string is
The tension on the string is mathematically represented as
substituting values
The motion of the bob is mathematically represented as
=>
Where is the angular speed
and is the phase change
At initial position S = 0
So
Generally can be mathematically represented as
Where T is the period of oscillation which i mathematically represented as
So
substituting values
Looking at the equation
We see that maximum velocity of the bob will be at S = 0
i. e
The maximum velocity is mathematically represented as
Where A is the amplitude which is mathematically represented as
So
Recall
substituting values
Answer:
1) The maximum jump height is reached at A.
2) The maximum center of mass height off of the ground is B.
3) The time of flight is C.
4) The distance of jump is B.
Explanation:
First of all we need to decompose velocity in its rectangular components, so
1) We use, , as we clear it for
and using the fact that
at max height, we obtain
2) We can use the formula for
, so
3) We can use the formula , to find total time of fligth, so
, as it is a second-grade polynomial, we find that its positive root is
4) Finally, we use , as it has an additional displacement of
due the leg extension we obtain,
, aprox