A professional baseball player can throw the ball around 45 m/s if the distance between the pitcher and the batter is 18.39 m. H
1 answer:
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Answer:
Explanation:
When the ball is at the bottom position of the vertical circle, the forces acting on the ball are:
- The tension in the string, , upward
- The weight of the ball, , downward
The resultant of these forces must be equal to the centripetal force, which points upward as well (towards the center of the circle), so:
(1)
where is the speed of the ball at the bottom of the circle, r the radius of the circle, and m the mass of the ball.
When the ball is at the top position of the vertical circle, the weight still acts downward, however the tension in the string also acts downward, so the equation of the forces becomes:
(2)
where
is the tension in the string in the top position
is the speed of the ball in the top position
By subtracting eq.(2) from eq.(1), we find:
So, this is the difference in tension between the two positions.