To calculate the combined objects' initial momentum, multiply the mass of the baby and scooter by their respective velocities. Then, sum the individual momenta to find the combined initial momentum.
To determine the combined initial momentum of the baby and the scooter, we employ the fundamental principle that momentum is the product of mass and velocity. For the baby, with a mass of 7 kg and a velocity of 6 m/s, the momentum is computed as 7 kg * 6 m/s, resulting in 42 kg·m/s. Simultaneously, the scooter, possessing a mass of 2 kg and a velocity of 6 m/s, contributes a momentum of 12 kg·m/s to the system. Combining these individual momenta, the total initial momentum of the baby-scooter system is determined by summing the baby's momentum and the scooter's momentum, resulting in a combined initial momentum of 54 kg·m/s. This calculation illustrates the conservation of momentum, a fundamental concept in physics, showcasing how the sum of individual momenta provides a comprehensive understanding of the overall motion and dynamics of interacting objects.
Certainly, let's perform the calculations for the combined initial momentum.
The momentum of the baby is given by:
Momentum of Baby = Mass of Baby × Velocity of Baby
Momentum of Baby = 7kg×6m/s = 42kg.m/s
Similarly, the momentum of the scooter is given by:
Momentum of Scooter = Mass of Scooter × Velocity of Scooter
Momentum of Scooter=2kg×6m/s=12kg⋅m/s
Now, we find the combined initial momentum by adding these individual momenta:
Combined Initial Momentum=Momentum of Baby + Momentum of Scooter
Combined Initial Momentum=42kg⋅m/s+12kg⋅m/s=54kg⋅m/s
Therefore, the combined initial momentum of the baby and the scooter is 54kg⋅m/s.