Answered

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A 150g mass tied on a string is whirled in a vertical circle of radius 30cm with a uniform
speed. At the lowest position the tension in the string is 9.5N.Calculate the velocity of the
mass.
(2 marks)​

Sagot :

Answer:

v = 4 m/s.

Explanation:

Given that,

Mass of the object tied on a string, m = 150 g = 0.15 kg

The radius of the vertical circle, r = 30 cm = 0.3 m

At the lowest position, the tension in the string is 9.5N.

We need to find the velocity of the mass.

At the lowest point, the net centripetal force is given by :

[tex]F=\dfrac{mv^2}{r}+mg[/tex]

Putting all the values to find v.

[tex]\dfrac{mv^2}{r}=F-mg\\\\v^2=\dfrac{r(F-mg)}{m}\\\\v^2=\dfrac{0.3\times (9.5-0.15\times 10)}{0.15}\\\\v=4\ m/s[/tex]

So, the velocity of the mass is 4 m/s.

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