Question

in all collisions, both elastic and inelastic, which quantity must be conserved?
options: momentum, velocity, kinetic energy, mechanical energy
pregunta 2
1 puntos
football player position | mass (kg) | velocity (m/s)
halfback | 60 | 8
tight end | 90 | 6
fullback | 110 | 5
lineman | 120 | 3
the game is on the line and its your job to pick one football player to give the ball to, to run for the winning touchdown. you do not want the opposing team to stop him, therefore, you want the one with the largest momentum. which player would you pick?
options: lineman, halfback, tight end, fullback

Explanation:

Pregunta 1

En colisiones, la cantidad conservada en todas (elásticas e inelásticas) es el momento ($p = mv$). La velocidad, energía cinética y energía mecánica no se conservan en colisiones inelásticas (donde hay deformación o disipación de energía).

Step1: Recuerda la fórmula del momento

El momento lineal se calcula como $p = m \times v$, donde $m$ es la masa y $v$ la velocidad.

Step2: Calcula el momento de cada jugador

• Halfback: $m = 60\,\text{kg}$, $v = 8\,\text{m/s}$ → $p = 60 \times 8 = 480\,\text{kg·m/s}$
• Tight end: $m = 90\,\text{kg}$, $v = 6\,\text{m/s}$ → $p = 90 \times 6 = 540\,\text{kg·m/s}$
• Fullback: $m = 110\,\text{kg}$, $v = 5\,\text{m/s}$ → $p = 110 \times 5 = 550\,\text{kg·m/s}$
• Lineman: $m = 120\,\text{kg}$, $v = 3\,\text{m/s}$ → $p = 120 \times 3 = 360\,\text{kg·m/s}$

Step3: Compara los momentos

El Fullback tiene el momento más grande ($550\,\text{kg·m/s}$).

Answer:

A. momentum

Pregunta 2