# Solving for the Speed of an 8kg Bullet

• midey
In summary, the problem involves an 8 kg bullet being fired into a stationary 9 kg block of wood, with the bullet getting lodged in the wood and the wood having a velocity of 40 cm/s after the impact. The question is asking for the initial speed of the bullet. To solve this, we need to use the conservation of momentum. The type of collision is unclear and further information is needed to determine if it is elastic or inelastic.
midey

## Homework Statement

An 8 kg bullet is fired into a stationary 9 kg block of wood which is free to move. The bullet is stopped in the wood which has a velocity of 40 cm/s after the impact. What was the speed of the bullet?

## The Attempt at a Solution

use the conservation of momentum

Well we know from the question that the bullet gets lodged into the wood upon impact. What kind of collision would that be? Elastic or Inelastic? What kind of properties, specifically with conservation of momentum/kinetic energy does that collision contain?

Let me know if you need more help.

## 1. How do you solve for the speed of an 8kg bullet?

To solve for the speed of an 8kg bullet, you can use the formula v = √(2KE/m), where v is the speed, KE is the kinetic energy, and m is the mass of the bullet. You will also need to know the value of the kinetic energy, which can be calculated by multiplying the mass of the bullet by the square of its velocity.

## 2. What units are typically used for the speed of a bullet?

The speed of a bullet is typically measured in meters per second (m/s) or feet per second (ft/s). These units represent the distance the bullet travels in one second.

## 3. Can you solve for the speed of an 8kg bullet if you only know its mass?

No, to solve for the speed of an 8kg bullet, you will also need to know its kinetic energy or velocity. Without this information, it is not possible to accurately determine the speed of the bullet.

## 4. How accurate is the formula for solving the speed of a bullet?

The formula v = √(2KE/m) is a simplified version that does not take into account factors such as air resistance and drag. Therefore, it may not be 100% accurate in real-world scenarios. However, it is a good approximation for calculating the speed of a bullet in a controlled environment.

## 5. Are there any other methods for determining the speed of a bullet?

Yes, there are other methods for determining the speed of a bullet, such as using high-speed cameras or measuring the distance the bullet travels in a given time. However, these methods may require more advanced equipment and may not be as accurate as using the formula v = √(2KE/m).

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