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CALCULATING MOMLNTUM orresponding questions! ( Force and laws ... \( \begin{array}{l}\text { (B) a scurrying cockroach of the following has the greatest momentum? } \\ \text { (C) a parked semi-truck }\end{array} \)

Ask by Daniels Chen. in the United States
Feb 19,2025

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The scurrying cockroach has the greatest momentum.

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To determine which object has the greatest momentum, we need to understand the concept of momentum. Momentum (\( p \)) is defined as the product of an object's mass (\( m \)) and its velocity (\( v \)). The formula for momentum is: \[ p = m \cdot v \] ### Known Conditions: 1. **Scurrying Cockroach**: This object has a certain mass and is moving, which means it has a velocity greater than zero. 2. **Parked Semi-Truck**: This object has a large mass but is not moving, which means its velocity is zero. ### Step-by-Step Analysis: 1. **Calculate the Momentum of the Cockroach**: - Let’s assume the mass of the cockroach is \( m_c \) and its velocity is \( v_c \). - The momentum of the cockroach is given by: \[ p_c = m_c \cdot v_c \] 2. **Calculate the Momentum of the Semi-Truck**: - Let’s assume the mass of the semi-truck is \( m_t \) and its velocity is \( v_t = 0 \) (since it is parked). - The momentum of the semi-truck is given by: \[ p_t = m_t \cdot v_t = m_t \cdot 0 = 0 \] ### Conclusion: - The cockroach has a non-zero momentum because it is moving, while the parked semi-truck has zero momentum because it is not moving. - Therefore, the scurrying cockroach has the greatest momentum compared to the parked semi-truck. ### Final Answer: The scurrying cockroach has the greatest momentum.

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Momentum can be defined as the product of an object’s mass and its velocity. In this case, while the parked semi-truck has a significant mass, it has no momentum because its velocity is zero. Conversely, even a tiny, scurrying cockroach can have a greater momentum if it's moving quickly, demonstrating the principle that momentum depends on both mass and speed. In everyday life, momentum plays a crucial role in everything from sports to vehicle collisions. For instance, when a baseball bat strikes a ball, the momentum transfer from bat to ball determines the speed and distance the ball travels. Understanding momentum helps in injury prevention in sports and safe driving practices, providing insights into how forces interact in dynamic scenarios!

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