A 250 g yo-yo is swung on the end of a 50 cm string at a constant speed of 4 m/s. The centripetal force acting on the yo-yo is
To find the centripetal force acting on the yo-yo, we can use the equation:
Centripetal Force = (mass × velocity²) / radius
Where:
- mass is the mass of the yo-yo (250 g or 0.250 kg),
- velocity is the speed of the yo-yo (4 m/s), and
- radius is the length of the string (50 cm or 0.50 m).
Let's plug in the values into the formula:
Centripetal Force = (0.250 kg × (4 m/s)²) / 0.50 m
Simplifying this equation:
Centripetal Force = (0.250 kg × 16 m²/s²) / 0.50 m
Centripetal Force = (4 kg·m²/s²) / 0.50 m
Centripetal Force = 8 N
Therefore, the centripetal force acting on the yo-yo is 8 Newtons.