An astronomer would most likely use the doppler effect to question 12 options: 1) measure the color of a star. 2) measure the pa
2 answers:
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Answer:
Approximately , assuming that the acceleration of this ball is constant during the descent.
Explanation:
Assume that the acceleration of this ball, , is constant during the entire descent.
Let denote the displacement of this ball and let
denote the duration of the descent. The SUVAT equation
would apply.
Rearrange this equation to find an expression for the acceleration, , of this ball:
.
Note that and
in this question. Thus:
.
Let denote the mass of this ball. By Newton's Second Law of Motion, if the acceleration of this ball is
, the net external force on this ball would be
.
Since and
, the net external force on this ball would be:
.
To solve this problem we will apply the concepts related to the balance of Forces, the centripetal Force and Newton's second law.
I will also attach a free body diagram that allows a better understanding of the problem.
For there to be a balance between weight and normal strength, these two must be equivalent to the centripetal Force, therefore
Here,
m = Net mass
= Angular velocity
r = Radius
W = Weight
N = Normal Force
The net mass is equivalent to
Then,
Replacing we have then,
Solving to find the angular velocity we have,
Therefore the angular velocity is 0.309rad/s