Calculating Velocity of a 10-gram Bullet

In summary, to calculate the velocity of a bullet fired into a block, you can use the equation m_1v_1 + m_2v_2 = m_1u_1 + m_1u_2, where m_1 and v_1 represent the mass and velocity of the bullet, and m_2 and v_2 represent the mass and velocity of the block. This equation is based on the conservation of momentum principle, which states that the total momentum before and after a collision remains constant. You can use this equation to calculate the velocity of the bullet by plugging in the known values for the mass and velocity of the block and the velocity of the block after impact.
  • #1
Draygon_Phly
6
0
Hi! I would like to know what equation I would use to figure out this question and why?

A 10-gram bullet is fired into a 3.0-kilograme block, given that the block a velocity of 30 cm/sec. With what velocity was the bullet fired?

Thank you for your answer. [?]
 
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  • #2
The conservation of momentum:
[tex]m_1v_1 + m_2v_2 = m_1u_1 + m_1u_2[/tex]
So that:
[tex]m_[/tex] - mass of each object
[tex]v_[/tex] - velocity of each object before impact
[tex]u_[/tex] - velocity of each object after impact

Do you need more help or can you figure this out yourself now? :smile:
 
  • #3
thanx I can figure it out from here.:smile:
 

Related to Calculating Velocity of a 10-gram Bullet

1. How do you calculate the velocity of a 10-gram bullet?

To calculate the velocity of a 10-gram bullet, you will need to know the mass of the bullet (m) in grams, the distance the bullet traveled (d) in meters, and the time it took the bullet to travel that distance (t) in seconds. Then, you can use the formula: v = d/t. This will give you the velocity of the bullet in meters per second.

2. What is the unit of measurement for velocity?

The unit of measurement for velocity is meters per second (m/s). This represents the distance an object travels in one second.

3. How is the velocity of a bullet related to its mass?

The velocity of a bullet is directly proportional to its mass. This means that as the mass of the bullet increases, the velocity will also increase, assuming the other variables (distance and time) remain constant. This is because a heavier bullet will have a greater force behind it, allowing it to travel faster.

4. Can velocity be negative?

Yes, velocity can be negative. This indicates that the object is moving in the opposite direction of the chosen reference point. In the case of a bullet, a negative velocity could indicate that the bullet is moving backwards or in the direction opposite of its intended path.

5. What factors can affect the velocity of a 10-gram bullet?

The main factors that can affect the velocity of a 10-gram bullet are the force behind the bullet (i.e. the gunpowder explosion), the weight and shape of the bullet, and any external factors such as air resistance. Additionally, the angle at which the bullet is fired and the surface it is traveling on can also impact its velocity.

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