Starting over, so here's some points! Take em ~Jayden
2 answers:
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The force applied to the spring is the weight of the object that compresses it, so it is equal to:
Because of this force, the spring compresses by
. Using Hook's law,
,
since we know the intensity of the force (the weight W) and the compression of the spring, x, we can find k, the spring constant:
Because of this force, the spring compresses by
since we know the intensity of the force (the weight W) and the compression of the spring, x, we can find k, the spring constant:
The tension in the string B) It quadruples.
Explanation:
The ball is in uniform circular motion in a horizontal circle, so the tension in the string is providing the centripetal force that keeps the ball in circular motion. So we can write:
where:
T is the tension in the string
m is the mass of the ball
v is the speed of the ball
r is the radius of the circle (the lenght of the string)
In this problem, we are told that the speed of the ball is doubled, so
v' = 2v
Substituting into the previous equation, we find the new tension in the string:
Therefore, the tension in the string will quadruple.
Learn more about circular motion:
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