Final answer: How fast does the block of wood move after being hit?

In summary, the question involves a 10g bullet traveling at 400 m/s hitting a block of wood and emerging at 350 m/s. To solve, the conservation of linear momentum equation is used, with the final velocity of the block being calculated as 0.25 m/s. The mass of the block is not stated in the problem but is included as 2kg in the work. Units should also be included in the answer.
  • #1
chibichibi7554
12
0
I am not sure if I am doing this question right.

A 10g bullet, traveling at 400 m/s hits a block of wood & emerges going at 350 m/s. How fast goes the block of wood move after being hit?

Is this the right way to solve it?:

mv of the bullet + mv of the block = mv' of the bullet + mv' of the block
(.01)(400)+0=(.01)(350)+(2)v
v=.25
 
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  • #2
You left the mass of the block out of your problem statement but included it in the work as 2kg (right?). Other than that it looks like a correct application of the conservation of linear momentum. Oh, and be sure to include units on the answer -- many folks (including me) will mark you down for leaving them off.
 
  • #3
m/s

I cannot confirm if this is the correct way to solve the problem without knowing all the variables and assumptions made. However, based on the information given, it appears that the block of wood moves at a velocity of 0.25 m/s after being hit. It is also important to consider the conservation of momentum in this scenario, as the total momentum before and after the collision should be equal. Further calculations and analysis may be needed to accurately determine the speed of the block of wood after being hit.
 

Related to Final answer: How fast does the block of wood move after being hit?

1. What is linear momentum?

Linear momentum is the product of an object's mass and velocity. It is a measure of an object's motion and is represented by the symbol p.

2. How is linear momentum calculated?

Linear momentum is calculated by multiplying an object's mass (m) by its velocity (v). The formula for linear momentum is p = m * v. It is measured in units of kilogram-meters per second (kg*m/s).

3. What is the principle of conservation of linear momentum?

The principle of conservation of linear momentum states that the total linear momentum of a closed system remains constant, regardless of any internal forces or interactions between its components. This means that the total momentum before a collision or interaction is equal to the total momentum after the collision or interaction.

4. How is linear momentum related to Newton's laws of motion?

Linear momentum is related to Newton's laws of motion, specifically the second law which states that the net force acting on an object is equal to its mass times its acceleration (F=ma). This can be rearranged to show that an object's acceleration is directly proportional to its net force and inversely proportional to its mass. This means that a larger mass will have a greater linear momentum for the same velocity.

5. What are some real-life examples of linear momentum?

Some examples of linear momentum in everyday life include a moving car, a swinging pendulum, a basketball being thrown into a hoop, or a rocket launching into space. In each of these scenarios, the object's mass and velocity contribute to its linear momentum and determine its motion.

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