a ball that has a mass of 0.25 kg spins in a circle at the end of a 1.6 m rope. the ball moves at a…
a ball that has a mass of 0.25 kg spins in a circle at the end of a 1.6 m rope. the ball moves at a tangential speed of 12.2 m/s. what is the centripetal force acting on the ball? 1.9 n 23 n 59 n 93 n
Answer
Explanation:
Step1: Recall centripetal - force formula
The formula for centripetal force is $F_c=\frac{mv^2}{r}$, where $m$ is the mass, $v$ is the tangential speed, and $r$ is the radius of the circular path.
Step2: Identify given values
We are given that $m = 0.25\ kg$, $v=12.2\ m/s$, and $r = 1.6\ m$.
Step3: Substitute values into formula
$F_c=\frac{0.25\times(12.2)^2}{1.6}=\frac{0.25\times148.84}{1.6}=\frac{37.21}{1.6}=23.25625\ N\approx23\ N$
Answer:
23 N