Calculating Speed for a Bullet to Pass Through 10 Planks

In summary, the problem involves finding the speed at which a bullet must be fired in order to pass through 10 identical planks after just passing through one plank. Using Newton's equations of motion and the fact that v2 is directly proportional to the distance, the speed can be calculated to be 10√10.
  • #1
The legend
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0

Homework Statement


A gunman shot a bullet with a speed of 10ms-1 which just penetrates into a plank of wood. So with what speed should he fire the bullet so that it passes through 10 similar planks?


Homework Equations


Newtons equations of motion.


The Attempt at a Solution


v2 - u2 = 2as
v2 is directly proportional to s

So,
v21/v22 = s1/s2

That means
v22 = 10*10*10
Therefore
v = 10 root 10



Well that's what I have done but I aint sure!
 
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  • #2
Welcome to PF!

Hi The legend! Welcome to PF! :smile:

(have a square-root: √ :wink:)
The legend said:
v2 - u2 = 2as
v2 is directly proportional to s
…
v = 10 root 10

Yes, that's fine! :smile:

(btw, you could also have used the work-energy theorem … change in KE = work done = force x distance, is proportional to distance :wink:)
 

FAQ: Calculating Speed for a Bullet to Pass Through 10 Planks

What is the formula for calculating speed for a bullet to pass through 10 planks?

The formula for calculating speed for a bullet to pass through 10 planks is speed = distance/time. In this case, the distance would be the combined thickness of the 10 planks, and the time would be the amount of time it takes for the bullet to pass through all 10 planks.

What units should be used for the distance and time in the formula?

The distance should be measured in meters (m) and the time should be measured in seconds (s) to ensure accurate results.

How can the speed of a bullet be measured?

The speed of a bullet can be measured using a chronograph, which uses sensors to detect the time it takes for the bullet to pass through two different points. The distance between these two points is known, so the speed can be calculated using the formula mentioned above.

What factors can affect the speed of a bullet passing through 10 planks?

The speed of a bullet passing through 10 planks can be affected by a number of factors, including the type of bullet being used, the velocity of the bullet when it hits the first plank, the density and thickness of the planks, and any external forces such as wind or gravity.

Can the speed of a bullet passing through 10 planks be increased?

Yes, the speed of a bullet passing through 10 planks can be increased by using a bullet with a higher velocity, reducing the density or thickness of the planks, or by minimizing any external forces acting on the bullet. However, it is important to note that increasing the speed of a bullet can also increase the potential danger and should only be done in a controlled and safe environment.

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