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.
