Answer:
The new location of center of mass from the initial position of 40 kg is 2.73 m.
Explanation:
Given that,
Distance = 4.0 m
Mass of person = 40 kg
Suppose, Two people (40 kg and 86 kg) holding hands stand on roller blades 1.0 m apart. The two people push off each other and roll apart so the distance between them is now 4.0 m. Determine the new location of the center of mass (the distance from the initial position of 40-kg person).
We need to calculate the center of mass
Using formula of center of mass
[tex]X_{cm}=\dfrac{m_{1}x_{1}+m_{2}x_{2}}{m_{1}+m_{2}}[/tex]
Put the value into the formula
[tex]X_{cm}=\dfrac{40\times0+86\times4.0}{40+86}[/tex]
[tex]X_{cm}=2.73\ m[/tex]
Hence, The new location of center of mass from the initial position of 40 kg is 2.73 m.
