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Evgesh-ka [11]
3 years ago
15

*Please help, Brainliest to first correct answer*

Physics
1 answer:
jek_recluse [69]3 years ago
3 0

The final velocity is 14.4 m/s

Explanation:

We can solve this problem by using the law of conservation of momentum. In fact, in absence of external forces, the total momentum of the two girls must be conserved before and after the collision.

Therefore we can write:

p_i = p_f\\m_1 u_1 + m_2 u_2 = (m_1+m_2)v  

where:  

m_1 = 68 kg is the mass of Anna

u_1 = 17 m/s is the initial velocity of Anna

m_2 = 76 kg is the mass Sandra

u_2 = 12 m/s is the initial velocity of Sandra

v is the final combined velocity of the two girls

By re-arranging the equation and solving for v, we find the  final velocity of the two girls:

v=\frac{m_1 u_1 + m_2 u_2}{m_1+m_2}=\frac{(68)(17)+(76)(12)}{68+76}=14.4 m/s

Learn more about momentum here:

brainly.com/question/7973509  

brainly.com/question/6573742  

brainly.com/question/2370982  

brainly.com/question/9484203  

#LearnwithBrainly

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