Final answer:
The mass of the school bus is 13,028 kg, the automobile is moving at a velocity of 6.5 m/s, and the total momentum of the child and wagon is 29.25 kg m/s.
Step-by-step explanation:
The questions presented relate to the topic of momentum, which is the product of an object's mass and its velocity. Momentum is a vector quantity, which means it has both magnitude and direction and is measured in kilogram meters per second (kg m/s).
To find the mass of the school bus, we use the formula for momentum (p = m * v). Given the momentum (p = 157,635 kg m/s) and the velocity (v = 12.1 m/s), we solve for the mass (m) by rearranging the formula to m = p / v. So the mass of the bus is m = 157,635 kg m/s / 12.1 m/s = 13,028 kg.
To find the velocity of the automobile, we again use the momentum formula. The momentum (p = 7800 kg m/s) and the mass of the car (m = 1200 kg) are provided. Solving for velocity (v), we get v = p / m. Therefore, the velocity is v = 7800 kg m/s / 1200 kg = 6.5 m/s.
To find the momentum of the child and wagon, we combine their masses (17 kg + 2.5 kg = 19.5 kg) and multiply by the given velocity (v = 1.5 m/s) using the formula p = m * v. The total momentum is p = 19.5 kg * 1.5 m/s = 29.25 kg m/s.