Question

1. analyze: using the equations $p = mv$ and $k = \frac{1}{2}mv^2$, calculate the momentum and kinetic energy of each car. remember to use the kg and m/s values for each calculation. fill in the last two columns of the table.

a. does the car’s mass alone determine whether the egg breaks? ______________

b. does the car’s speed alone determine whether the egg breaks? ______________

c. does the car’s momentum determine whether the egg breaks? ______________

d. does the car’s kinetic energy determine whether the egg breaks? ______________

explain your answers: ____________________________________________________
_____________________

Explanation:

To answer these questions, we analyze the factors affecting whether the egg breaks:

Part A

The car’s mass alone does not determine if the egg breaks. For example, a car with large mass but very low speed might not break the egg, while a car with smaller mass but high speed could. So mass alone is insufficient.

Part B

The car’s speed alone does not determine if the egg breaks. A car with high speed but very low mass might not break the egg, while a car with moderate speed and larger mass could. So speed alone is insufficient.

Part C

The car’s momentum (\( p = mv \)) does not determine if the egg breaks. Momentum is a measure of motion, but the impact on the egg depends on how much energy is transferred (related to kinetic energy, not just momentum). For example, two objects with the same momentum but different masses/speeds can have different kinetic energies, and the one with higher kinetic energy is more likely to break the egg.

Part D

The car’s kinetic energy (\( K = \frac{1}{2}mv^2 \)) determines whether the egg breaks. Kinetic energy represents the energy of motion available to do work (like breaking the egg). A higher kinetic energy means more energy to transfer during impact, making it more likely to break the egg.

(for all):

• Mass and speed alone are insufficient because the effect on the egg depends on their combined influence (via kinetic energy).
• Momentum is a measure of motion, but kinetic energy (which depends on \( mv^2 \)) better predicts the energy available to break the egg. Higher kinetic energy means more energy to transfer during impact, increasing the likelihood of breaking the egg.

Answer:

s:
A. No
B. No
C. No
D. Yes