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A 730 N student stands in the middle of a frozen pond having a radius of 5.8 m. He is unable to get to the other side because of a lack of friction between his shoes and the ice. To overcome this difficulty, he throws his 2.6 kg physics textbook horizontally toward the north shore at a speed of 6.1 m/s. The acceleration of gravity is 9.81 m/s². How long does it take him to reach the south shore? Answer in units.

Respuesta :

Answer:27.35 s

Explanation:

Given

weight of man =730 N

mass of man [tex]m_1=\frac{730}{9.8}=74.48 kg[/tex]

radius of pound r=5.8 m

mass of book [tex]m_2=2.6 kg[/tex]

velocity of book [tex]v_2=6.1 m/s[/tex]

let [tex]v_1[/tex] be the velocity of man

conserving momentum

[tex]0=m_1v_1+m_2v_2[/tex]

[tex]0=74.48\times v_1+2.6\times 6.1[/tex]

[tex]v_1=\frac{15.86}{74.48}=0.212 m/s[/tex]

time taken by man to reach south end

[tex]t=\frac{5.8}{0.212}=27.35 s[/tex]

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