Center of mass particle problem

In summary, we discussed how to find the speed of a heavier particle as it approaches the center of mass of a two particle system. We also learned how to calculate the center of mass of a planet-star system and how to find the magnitude of momentum of a lighter particle relative to the center of mass using the equation mv.
  • #1
pringless
43
0
A 4.01g particle is moving at 1.36 m/s toward a stationary 9.43g particle. With what speed does the heavier particle approach the center of mass of the two partciles?

i don't get how cm relates to finding speed

The mass of a star like our sun is 347000 Earth masses, and the mean distance from the center of this star to the center of a planet like our Earth is 6.63*10^8 km. Treating this planet and start as particles, with each mass concentrated at its respective geometric center, how far from the center of the star is the center of mass of the planet-star system? Answer in units of km.
 
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  • #2
Well, how do you find the center of mass of a two particle system?
 
  • #3
is it like V_cm = m1v1+m2v2 / m1 + m2?
 
  • #4
Originally posted by pringless
is it like V_cm = m1v1+m2v2 / m1 + m2?

You probably meant
[tex]V_{cm}=\frac{m_1v_1+m_2v_2}{m_1+m_2}[/tex] which is correct. You should be carefull to put your parens in where necessary.
 
  • #5
thx nate..
i have one more question for that first problem.

how would you calculate the magnitude of momentum of the lighter particle relative to the center of mass?
 
  • #6
Linear momentum is mv.
Since you know the mass already, so all you have to do is figure out the relative velocity.
 

1. What is the center of mass particle problem?

The center of mass particle problem is a concept in physics that involves finding the point at which the mass of a system can be considered to be concentrated. It is commonly used in the study of objects in motion, such as planets and satellites.

2. How is the center of mass particle problem calculated?

The center of mass particle problem is typically calculated by finding the weighted average of the positions of all the particles in a system. This is done by multiplying the mass of each particle by its position and dividing the total by the sum of all the masses.

3. Why is the center of mass particle problem important?

The center of mass particle problem is important because it allows us to simplify complex systems and make predictions about how they will behave. It is also necessary in order to accurately calculate the motion of objects in space.

4. How does the center of mass particle problem relate to Newton's laws of motion?

The center of mass particle problem is closely related to Newton's laws of motion, particularly the first law which states that an object will remain at rest or in motion unless acted upon by an external force. The center of mass is the point at which an object will remain stationary if no external forces are acting on it.

5. Can the center of mass particle problem be applied in everyday life?

Yes, the center of mass particle problem can be applied in everyday life. For example, when designing structures such as bridges or buildings, engineers must consider the center of mass in order to ensure stability and prevent collapse. It is also used in sports, such as in gymnastics and diving, where athletes must maintain their center of mass in order to execute complex movements.

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