Another Centre of Mass problem

In summary, the question asks how far the 40Kg skater will move when two skaters pull themselves along a 10m pole until they meet. The answer is 6.2m, calculated using the equation d = \frac{m2}{m1+m2} d, and taking into account that the center of mass, xcom, moves 3.8m. It seems like this question was too easy for you compared to your other assignments.
  • #1
suspenc3
402
0
Hi, I must be doing something wrong...because i found this question wayyyy too easy.

Two skaters, one with mass 65Kg and the other with mass 40Kg stand on the ice rink holding a pole 10 m long and a negligible mass. Starting from the ends of the pole, they pull themselves along the pole until they meet. How far does the 40Kg skater move?

[tex]\frac{m2}{m1+m2} d[/tex]

[tex]xcom=3.8m[/tex]

m2 travels : 10m - 3.8m

m2 travels 6.2m

Is it as easy as this?
 
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  • #2
suspenc3 said:
Hi, I must be doing something wrong...because i found this question wayyyy too easy.
Two skaters, one with mass 65Kg and the other with mass 40Kg stand on the ice rink holding a pole 10 m long and a negligible mass. Starting from the ends of the pole, they pull themselves along the pole until they meet. How far does the 40Kg skater move?
[tex]\frac{m2}{m1+m2} d[/tex]
[tex]xcom=3.8m[/tex]
m2 travels : 10m - 3.8m
m2 travels 6.2m
Is it as easy as this?


Looks like it. Your other one was even easier :wink:
 
  • #3
it just doesn't make sence...Our assignments are always difficult

weird...
 

1. What is a centre of mass?

The centre of mass is a point in an object or system where the entire mass can be considered to be concentrated. It is the point at which the object or system would balance if suspended from that point.

2. How is the centre of mass calculated?

The centre of mass is calculated by taking the weighted average of the positions of all the particles or components that make up the object or system. The formula is: xcm = (m1x1 + m2x2 + ... + mnxn) / (m1 + m2 + ... + mn)

3. What is the importance of knowing the centre of mass?

Knowing the centre of mass is important in determining how an object or system will behave under different forces and rotations. It also helps in designing structures and vehicles that are stable and balanced.

4. Can the centre of mass be outside the physical boundaries of an object?

Yes, the centre of mass can be outside the physical boundaries of an object. This is possible when the object has an irregular shape or when there are external forces acting on the object.

5. How does the centre of mass affect an object's stability?

The lower the centre of mass, the more stable an object is. This is because a lower centre of mass means that the object has a smaller tendency to tip over when subjected to external forces. This is why most vehicles and structures are designed with a low centre of mass.

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