If the strings have the same thickness butdifferent lengths, which of the following parameters, if any, willbe different in the
1 answer:
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a) The centripetal acceleration is
b) The force on the ball is 321.9 N
c) The direction of the force is upward
Explanation:
a)
The centripetal acceleration of an object in circular motion is given by
where
v is the speed of the object
r is the radius of the circle
In this problem, we have:
r = 50 cm = 0.50 m (the radius of the circle is equal to the distance between the shoulder and the ball)
is the speed
Substituting,
b)
The force exerted by the hand on the ball is equal to the centripetal force, which is given by:
where
m is the mass of the ball
a is the centripetal acceleration
In this problem, we have:
m = 0.19 kg
Substituting, we find:
c)
In a uniform circular motion, the direction of the centripetal acceleration is always towards the centre of the circle.
As a result, since the direction of the force is the same as the direction of the acceleration, the direction of the centripetal force is also towards the centre of the circle.
Therefore in this case, since the ball is at the lowest point in the circle, the direction of the force is upward (because it is towards the centre of the circular trajectory).
Learn more about centripetal force and acceleration:
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