Answer to Question #116393 in Mechanics | Relativity for Foibe Kambala

Question #116393
3. A 0.45 kg ball attached to the end of horizontal cord is rotated in a circle of radius 1.3 m
on frictionless horizontal surface. If the cord will break when the tension in it exceeds 75
N. what is the maximum speed the ball can have?
1
Expert's answer
2020-05-19T11:01:04-0400

When the ball is doing circular motion then it will have a centripetal acceleration which is equal to "\\frac{v^2}{r}"

"T_{max}+mg=mv^2\/r"

"75+0.45\\times10=0.45\\times v^2\/1.3"

"0.45v^2=(75+4.5)1.3"

"v^2=229.67"

"v=15.15m\/s"


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