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Maru [420]
3 years ago
9

Two ice skaters, one with a mass of 45 kg and the other with a mass of 60 kg, push off against one another starting from a stati

onary position. After they have pushed off, the relative speed at which they separate is 0.600m/s. What is the speed of the 60kg skater?
Physics
1 answer:
Lina20 [59]3 years ago
4 0

Answer:

0.25714 m/s

Explanation:

m_1 = Mass of 45 kg skater

m_2 = Mass of 60 kg skater

v_1 = Speed of 45 kg skater

v_2 = Speed of 60 kg skater

As the momentum is conserved

m_1v_1+m_2v_2=0\\\Rightarrow 45v_1+60v_2=0\\\Rightarrow v_1=-\frac{60v_2}{45}\\\Rightarrow v_1=-\frac{4}{3}v_2

v_r = Relative speed = 0.6 m/s

v_r=v_2-v_1\\\Rightarrow v_r=v_2-\left(-\frac{4}{3}v_2\right)\\\Rightarrow 0.6=\frac{7}{3}v_2\\\Rightarrow v_2=\frac{0.6\times 3}{7}\\\Rightarrow v_2=0.25714

The speed of the 60kg skater is 0.25714 m/s

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