A Cardinal and Baseball: Momentum Ratio Calculation

Introduction

Let's consider a scenario where a cardinal (Richmondena cardinalis) with a mass of 3.80*10^-2 kg and a baseball with a mass of 0.149 kg both have the same kinetic energy. The question we want to answer is: What is the ratio of the cardinal's magnitude of momentum to the baseball's magnitude of momentum?

Calculating Momentum Ratio

To find the ratio of the cardinal's magnitude of momentum to the baseball's magnitude of momentum, we need to calculate the momentum of each object. Momentum (p) is given by the equation p = mv, where p is momentum, m is mass, and v is velocity. Since both the cardinal and the baseball have the same kinetic energy, their velocities will be related by the equation 0.5mv1^2 = 0.5mv2^2.

We can solve for v1/v2 using this equation and then calculate the ratio of the cardinal's momentum to the baseball's momentum.

Final Answer

To calculate the ratio of the cardinal's magnitude of momentum to the baseball's magnitude of momentum, we need to determine the velocities of both objects based on their mass and kinetic energy relationship. Once we find the velocities, we can use the momentum formula to calculate the ratio.