Question

A ball of mass 1.86 kilograms is attached to a cord 1.29 meters long and swung in a vertical circle at a constant speed of 5.27 meters per second. What is the centripetal force acting on the ball? Include units in your answer. Answer must be in 3 significant digits.

Answer 1

ANSWER

$\begin{equation*} 40.0N \end{equation*}$

EXPLANATION

Parameters given:

Mass of the ball, m = 1.86 kg

Length of cord, r = 1.29 m

Speed, v = 5.27 m/s

To find the centripetal force acting on the ball, apply the formula:

$F=\frac{mv^2}{r}$

Therefore, the centripetal force acting on the ball is:

$\begin{gathered} F=\frac{1.86*5.27^2}{1.29} \\ F=40.0N \end{gathered}$

That is the answer.