If a bullet losses 1/20 of it's velocity by passing through a plank. H...
Calculating the Number of Planks Required to Stop a BulletTo calculate the number of planks required to stop a bullet, we need to consider the following factors:
- Initial velocity of the bullet
- The velocity loss of the bullet after passing through a single plank
- The thickness of the plank
Step 1: Calculate the Velocity Loss of the BulletIf a bullet loses 1/20 of its velocity after passing through a plank, we can calculate the bullet's final velocity after passing through one plank using the following formula:
Final Velocity = Initial Velocity - (1/20) * Initial Velocity
Step 2: Determine the Thickness of the PlankThe thickness of the plank is an important factor in calculating the number of planks required to stop the bullet. A thicker plank will slow down the bullet more effectively than a thinner one. Therefore, we need to consider the thickness of the plank in our calculation.
Step 3: Calculate the Number of Planks RequiredTo calculate the number of planks required to stop the bullet, we need to divide the initial velocity of the bullet by the velocity loss of the bullet after passing through one plank. The formula is as follows:
Number of Planks = Initial Velocity / (Final Velocity x Thickness of Plank)
For example, if the initial velocity of the bullet is 1000 m/s, the thickness of the plank is 5 cm, and the velocity loss of the bullet after passing through one plank is 50 m/s, we can calculate the number of planks required to stop the bullet as follows:
Number of Planks = 1000 / (950 x 0.05) = 21.05
Therefore, we would need 22 planks (rounded up) to stop the bullet.
ConclusionCalculating the number of planks required to stop a bullet is a simple process that involves considering the initial velocity of the bullet, the velocity loss of the bullet after passing through a single plank, and the thickness of the plank. By following the steps outlined above, we can calculate the number of planks required to stop a bullet and ensure that we use the appropriate number of planks to effectively stop the bullet.