una granada de 4kg inicialmente en reposo,estalla en dos trozos,uno de los cuales ,de 2.5kg sale disparado hacia la derecha a 120m/s . Calcula la velocidad y el sentido del movimiento del segundo trozo.
Answers
reservation of momentum
momentum before = after
0 = momentum of piece to the right + 2nd one
0 = 2.5(120) + (4-2.5)v
v is negative so it moves to the left
Final answer:
La conservación de la momentum lineal dicta que la momentum total antes y después de la explosión de la granada debe ser la misma, o sea, cero. Teniendo en cuenta la dirección de cada trozo post-explosión, puedes resolver para hallar la velocidad del segundo trozo.
Explanation:
Este problema se resuelve usando las leyes de conservación de la momentum lineal, que dice que la momentum total de un sistema de partículas permanece constante siempre que no actúen fuerzas externas. En este caso, la granada explota en dos trozos, pero como la granada estaba inicialmente en reposo, la momentum total inicial sería cero. Así que, tras la explosión, la momentum total debe seguir siendo cero.
Puedes escribir la ley de conservación de la momentum para este ejemplo como sigue:
0 = momentum del trozo de 2.5 kg + momentum del trozo de 1.5 kg
Como sabemos, la momentum es el producto de la masa por la velocidad, así que para el trozo de 2.5 kg, la momentum sería 2.5 kg * 120 m/s que va a la derecha (puedes tomarlo como positiva). Luego, mujeres definir la velocidad del trozo de 1.5 kg como 'v', su momentum seria -1.5 kg * v (porque va a la izquierda, lo tomas como negativo).
Por ende,
0 = 2.5 kg * 120 m/s - 1.5 kg * v
De esta ecuación puedes resolver para 'v' y hallarás la velocidad del segundo trozo. Lo negativo indica que va a la izquierda.
Learn more about Conservación de la momentum lineal here:
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-- take 220
-- subtract your age
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But there are many things that have an effect on this number.
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-- your age
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In short, Your Answer would be Option D
Hope this helps!