Question

prompt
use the terms \force\, \weight\, \mass\, and \inertia\ to explain why it is easier to tackle a 220 lb football player than a 288 lb football player
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Explanation:

1. Mass and Weight Relationship: Weight ($W$) is related to mass ($m$) by $W = mg$ (where $g$ is gravitational acceleration). A 288 lb player has more weight than a 220 lb player, so the 288 lb player also has greater mass (since $g$ is constant on Earth).
2. Inertia Definition: Inertia is the resistance of an object to changes in its motion, and it is directly proportional to mass. The player with greater mass (288 lb) has more inertia.
3. Force and Acceleration (Newton’s Second Law): To tackle a player, you need to apply a force ($F$) to change their motion (accelerate them, $F = ma$). A player with more inertia (more mass) requires a larger force to achieve the same change in motion (e.g., stopping or redirecting them). Since the 220 lb player has less mass (less inertia), less force is needed to tackle them, making it easier.

Answer:

To tackle a football player, you must change their motion (accelerate them). Here’s how mass, weight, inertia, and force explain why tackling a 220 lb player is easier than a 288 lb player:

1. Mass & Weight: Weight ($W = mg$) is proportional to mass ($m$) (same $g$ on Earth). The 288 lb player has greater mass than the 220 lb player.
2. Inertia: Inertia (resistance to motion change) is proportional to mass. The 288 lb player (greater mass) has more inertia.
3. Force & Acceleration (Newton’s 2nd Law, $F = ma$): To tackle a player, you apply a force ($F$) to accelerate them (change their motion). A player with more inertia (more mass) requires a larger force to achieve the same acceleration (e.g., stopping them). Since the 220 lb player has less mass (less inertia), less force is needed to tackle them, making it easier.