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A 500g ball swings in a vertical circle at the end of a 1.5-m-long string. When the ball is at the bottom of the circle, the tension in the string is 15N. What is the speed of the ball at that point?

Short Answer

Expert verified

The speed of the ball at that point is5.5m/s.

Step by step solution

01

Given Information

A 500g ball swings in a vertical circle at the end of a 1.5-m-long string.

02

Explanation

From the information given in the question, we obtain that:

m-The mass of the ball =500g

r-The radius of the string is =1.5m

T-The tension in the ring is 15N

g-The acceleration due to the gravity=9.8m/s2

The tension in the string when the body is at the bottom is given by:

T=mv2r+mg

role="math" localid="1648313980593" 15=0.5v21.5+0.5×9.8

15-4.9=0.5v21.5

10.1×1.5=0.5v2

v=5.5m/s

03

Final Answer 

The speed of the ball at the point is5.5m/s

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