Question

Hello, i just need to check this problem, thanks in advance!

Answer 1

Given:

The mass of the bucket is m = 0.25 kg

The length of the string from the center is L = 0.4 m

The speed of the bucket is v = 5 m/s

To find The tension in the string at the bottom of the circle.

Explanation:

Forces acting on the bottom of the circle are tension due to the string and force due to gravity.

The tension in the string at the bottom of the circle can be calculated by the formula

`T=(mv^2)/(L)+mg`

Here, g = 9.8 m/s^2 is the acceleration due to gravity.

Substituting the values, the tension in the string at the bottom of the circle is

`\begin{gathered} T\text{ = }(0.25*(5)^2)/(0.4)+0.25*9.8 \\ =18.075\text{ N} \end{gathered}`

Final Answer: Thus the tension in the string at the bottom of the circle is 18.075 N