Max Impact of Free-Falling Bomb on Target

In summary, the problem involves a free-falling bomb with an initial velocity of 0 and a sound speed of 340 m/s. The maximum impact of the bomb to be heard by people at the target can be calculated using the equations for free fall and uniform motion. The bomb's trajectory is affected by both gravity and air friction, and the sound reaches the target just before the bomb.
  • #1
Numeriprimi
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Homework Statement


I have got a nice problem about free fall.
Consider a free-falling bomb vertically down at the target. The movement starts from rest. Bomb is giving sound - speed c= 340 m/s (from friction of air). What is the maximum impact of the bombs to her target (people) to hear sound alive ?


Homework Equations


I think I will use the equation of free fall and then the general equation for speed and acceleration.
s=1/2gt^2 (free fall)
s=ct (uniform motion sound)
v=gt (current speed uniformly accelerated motion)

The Attempt at a Solution


I think the basic premise is sound and that the bomb travels the same path:

1/2gt^2 = ct (calculate t)

Then t multiply the acceleration of gravity:

v= gt (and it is maximum velocity impact)

Of course it is, that the sound must be at the target faster (just) before the bomb.

It is right? Thanks very much (and sorry for my English).
 
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  • #2
Looks right.
 

1. What is the concept of "Max Impact" in relation to a free-falling bomb?

"Max Impact" refers to the maximum amount of damage that a free-falling bomb can cause when it hits its intended target. This is determined by factors such as the size and weight of the bomb, the height from which it is dropped, and the type of target it is intended for.

2. How is the max impact of a free-falling bomb calculated?

The max impact of a free-falling bomb is calculated using mathematical equations that take into account the bomb's weight, velocity, and angle of impact. These calculations help determine the potential destruction and impact radius of the bomb.

3. What factors can affect the max impact of a free-falling bomb?

The max impact of a free-falling bomb can be affected by various factors such as wind speed and direction, the altitude of the target, and the type of terrain the bomb is dropped on. Other factors like bomb design and accuracy of the drop can also play a role in determining the max impact.

4. Can the max impact of a free-falling bomb be controlled or altered?

Yes, the max impact of a free-falling bomb can be controlled and altered through various means. For example, bombs can be equipped with guidance systems to increase accuracy and precision, thereby maximizing the impact on the intended target. Bombs can also be designed with different payloads and detonation mechanisms to achieve different levels of destruction.

5. What are the potential consequences of a free-falling bomb not reaching its max impact?

If a free-falling bomb does not reach its max impact, it may not cause as much damage as intended, resulting in a potential failure of the mission or a less severe impact on the target. This could also potentially lead to collateral damage to unintended areas or a failure to neutralize the intended target effectively.

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