Violettarhythmicidn
Answered

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A 2.6 kg mass attached to a light string rotates on a horizontal,
frictionless table. The radius of the circle is 0.525 m, and the
string can support a mass of 17.9 kg before breaking. The
acceleration of gravity is 9.8m/s2. What maximum speed can
the mass have before the string breaks?

Sagot :

Onyebuchinnajiidn

The maximum speed the mass can have before it breaks is 2.27 m/s.

The given parameters:

  • maximum mass the string can support before breaking, m = 17.9 kg
  • radius of the circle, r = 0.525 m

The maximum speed the mass can have before it breaks is calculated as follows;

[tex]T = ma_c\\\\Mg = \frac{Mv^2}{r} \\\\v^2 = rg\\\\v = \sqrt{rg} \\\\v_{max} = \sqrt{0.525 \times 9.8} \\\\v_{max} = 2.27 \ m/s[/tex]

Thus, the maximum speed the mass can have before it breaks is 2.27 m/s.

Learn more about maximum speed of horizontal circle here:https://brainly.com/question/21971127

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