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 per seconds. What is the tension in the string connecting the yo yo to the boy's finger disregarding gravity?

To find the tension in the string, we first calculate the centripetal force required to keep the yo-yo moving in a circle. The centripetal force ( F_c ) can be calculated using the formula ( F_c = \frac{mv^2}{r} ), where ( m ) is the mass (0.5 kg), ( v ) is the speed (6 m/s), and ( r ) is the radius (1.5 m). Plugging in the values, we have:

[ F_c = \frac{0.5 , \text{kg} \times (6 , \text{m/s})^2}{1.5 , \text{m}} = \frac{0.5 \times 36}{1.5} = 12 , \text{N}. ]

Thus, the tension in the string is 12 N.