How Do You Calculate the Magnitude of a Daughter Nucleus's Momentum?

In summary, the conversation is about a homework problem involving a parent nucleus transforming into a daughter nucleus by emitting an electron and a neutrino. The parent was at rest at the origin of an xy coordinate system, and the electron and neutrino moved away from the origin with specific linear momentums. The question asks for the magnitude and angle of the linear momentum of the daughter nucleus. The equation p=mv is used to solve the problem, but the person is having trouble getting the velocity from the given vectors. They are advised to figure out which ideas to use and then determine which equation to use.
  • #1
sophzilla
20
0
Hello, I need help with my homework problem:

A certain radioactive (parent) nucleus transforms to a different (daughter) nucleus by emitting an electron and a neutrino. The parent was at rest at the origin of an xy coordinate system. The electron moves away from the origin with linear momentum (-5.8 x 10-22 kg m/s)i; the neutrino moves away from the origin with linear momentum (-2.9 x 10-23 kg m/s)j. What are (a) the magnitude and (b) angle (from the +x axis) of the linear momentum of the daughter nucleus?

I easily got part B, but I'm having a problem with part A. They want the momentum, so the equation to use is p=mv. However, I don't know how to get the velocity from the 2 vectors. It seems very easy and it probably is, but I'm not getting the answer right (I tried adding them, etc). I clearly see that i is x-direction and j is y-direction, but that's as far as I can get.

I would appreciate it if someone can help. Thanks.
 
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  • #2
They want the momentum, so the equation to use is p=mv.
Why is that the equation to use? As you know, that relates momentum, mass, and velocity. What made you interested in velocity and mass?

You should figure out what ideas you want to use to solve the problem, then figure out which equation to use.
 
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  • #3
Thank you; you are right. Clearly I missed the word MAGNITUDE that was right in front of my face.
 

FAQ: How Do You Calculate the Magnitude of a Daughter Nucleus's Momentum?

What is linear momentum?

Linear momentum is a physical quantity that describes the motion of an object. It is defined as the product of an object's mass and its velocity.

How is linear momentum calculated?

Linear momentum can be calculated by multiplying an object's mass (m) by its velocity (v), according to the equation p = mv.

What is the difference between linear momentum and angular momentum?

Linear momentum describes the motion of an object in a straight line, while angular momentum describes the rotational motion of an object around a fixed axis. Both are conserved quantities in a closed system.

How are vectors used in calculating linear momentum?

Vectors are used in calculating linear momentum because they represent both magnitude (mass) and direction (velocity) of an object's motion. The direction of the momentum vector is the same as the direction of the object's velocity.

Why is linear momentum an important concept in physics?

Linear momentum is an important concept in physics because it is a fundamental quantity that helps us understand and predict the motion of objects. It is also a conserved quantity, meaning it remains constant in a closed system, making it a useful tool for analyzing collisions and other interactions between objects.

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