Question

question 2 of 29
a boy is swinging a yo - yo with mass 0.5 kg in a circle with radius 1.5 m at a speed of 6 m/s. what is the tension in the string connecting the yo - yo to the boys finger, disregarding the effect of gravity?
a. 20 n
b. 12 n
c. 35 n
d. 9 n

Explanation:

Step1: Identify the centripetal - force formula

The centripetal force $F_c$ acting on an object moving in a circular path is given by $F_c=\frac{mv^2}{r}$, where $m$ is the mass of the object, $v$ is the speed, and $r$ is the radius of the circular path. The tension in the string provides the centripetal force in this case.

Step2: Substitute the given values

We are given that $m = 0.5\ kg$, $v = 6\ m/s$, and $r=1.5\ m$. Substitute these values into the formula $F_c=\frac{mv^2}{r}$.
$F_c=\frac{0.5\times6^2}{1.5}$
$F_c=\frac{0.5\times36}{1.5}$
$F_c=\frac{18}{1.5}$
$F_c = 12\ N$

Answer:

B. 12 N