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 ms. 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 formula for centripetal force is ( F_c = \frac{mv^2}{r} ), where ( m = 0.5 , \text{kg} ), ( v = 6 , \text{m/s} ), and ( r = 1.5 , \text{m} ). Substituting the values, we get ( F_c = \frac{0.5 \times 6^2}{1.5} = \frac{0.5 \times 36}{1.5} = 12 , \text{N} ). Therefore, the tension in the string is 12 N.