Final answer:
To find the child's speed v while riding a bicycle, use the momentum formula P = mv, solve for v (v = P/m), and substitute the given values for momentum P and mass m.
Step-by-step explanation:
The child's speed v on a bicycle can be calculated using the formula for linear momentum, which is P = mv, where P is the linear momentum, m is the mass, and v is the speed of the combined system.
Given that the linear momentum P is 666 kg·m/s and the combined mass m of the child and the bicycle is 12 kg, we can rearrange the formula to solve for v, the speed of the child:
v = \(\frac{P}{m}\) = \(\frac{666\ kg·m/s}{12\ kg}\)