/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 41 A trucs carrying chickens is too... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

A trucs carrying chickens is too heavy for a bridge that it needs to cross. The empty truck is within the weight limits; with the chickens it is overweight. It is suggested that if one could get the chickens to fly around the truck (i.z.., by banging on the truck side) it would be safe to cross the bridge. Do you agree? Explain.

Short Answer

Expert verified
No, having the chickens fly around in the truck will not make it safe for the truck to cross the bridge. The total weight (force due to gravity) of the truck system (truck+chickens) remains the same, whether the chickens are on the floor of the truck or flying around inside it.

Step by step solution

01

Analyzing the Situation

Initially, the weight of the system (the truck + chickens) is too much for the bridge to handle. When the chickens fly, the question is whether their weight affects the total force exerted by the truck on the bridge.
02

Understanding the Physics of Weight

Weight is a force due to gravity and acts downwards. It does not depend on whether the object is in the air or on the ground. When the chickens are flying inside the truck, their weight is still part of the system weight. When they push down to fly, the force they exert is transferred to the truck and then to the bridge. Therefore, the total weight of the system (truck + chickens) acting on the bridge does not change whether the chickens are on the ground inside the truck or flying inside the truck.
03

Conclusion

In conclusion, getting the chickens to fly around the truck would not decrease the weight or force exerted by the system on the bridge. It might redistribute the weight, but it won't reduce it. Therefore, the truck is still overweight for the bridge, whether the chickens are stationary or flying within the truck.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Weight Distribution
Weight distribution is crucial when considering the force exerted on structures, like a bridge in this scenario. The truck's total weight includes not just the vehicle itself, but everything inside it, such as the chickens. When these chickens are flying inside the truck, one might think the weight is being removed from the system. However, this is not the case. The force from their wings pushing down translates into the same force they initially added to the truck when resting.
Thus, the weight distribution remains evenly spread across the truck's base and eventually to the surface of the bridge. This understanding is vital as it shows that no weight is truly "removed" when objects are in motion within a confined space.
Force Dynamics
Force dynamics deals with how forces interact within a system, affecting movement and stability. In our truck and chickens example, the primary concern is whether flying chickens reduce the force exerted downward on the bridge.
When a chicken flies, it applies a force downwards, pushing against the air. In a closed environment like a truck, this force isn't lost to the atmosphere but is transferred to the truck's structure. This maintains the same overall downward force acting on the bridge. Essentially, while the physical position of the weight changes—thanks to the chickens flying—the net force acting on the truck from above and below remains constant.
This demonstrates a key principle in force dynamics: movement does not eliminate the force's effects unless external discharge occurs, which here it doesn't.
Bridge Engineering
Bridge Engineering requires understanding and calculating forces to ensure safe structure design. Bridges have specific weight capacities, which this scenario with the truck highlights.
The bridge's design considers the maximum force it can bear, including dynamic and static loads. A static load is a constant or slowly applied load, like the truck alone. A dynamic load involves forces that cause movement, like rushing water or wind, or—hypothetically—flying chickens.
However, since the total weight effect on the bridge remains unchanged by the chickens' flight, the real-world effect is negligible in this case. Conclusively, bridge engineers must account for cumulative forces acting on their structures, ensuring safety through comprehensive loads analysis. In our scenario, if the overall weight exceeds the bridge’s limit, the integrity risks remain, regardless of the chickens' actions.

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