A crate of 52.0- tools rests on a horizontal floor. You exert a gradually increa

Question

A crate of 52.0- tools rests on a horizontal floor. You exert a gradually increasing horizontal push on it and observe that the crate just begins to move when your force exceeds 319 . After that you must reduce your push to 227 to keep it moving at a steady 27.1 cm/s


Part A
What is the coefficient of static friction between the crate and the floor?


Part B
What is the coefficient of kinetic friction between the crate and the floor?


Part C
What push must you exert to give it an acceleration of 1.36 ?



Part D
Suppose you were performing the same experiment on this crate but were doing it on the moon instead, where the acceleration due to gravity is 1.62 . What magnitude push would cause it to move?



Part E
What would its acceleration be if you maintained the push in part C?



Please help me. Thank you

Explanation / Answer

(1)By F(applied) = F(static friction) =>F = µs x mg =>345 = µs x 34.6 x 9.8 =>µs = 1.02 (2) By F(net) = F(applied) - F(kinetic friction) =>a v = constant=>a = 0=>F(net) = 0 => F(applied) = F(kinetic friction) =>230 = µk x mg =>230 = µk x 34.6 x 9.8 =>µk = 0.68 (3) By F(net) = F(applied) - F(kinetic friction) =>m x a = F - 230 =>F = 34.6 x 1.21 + 230 =>F = 271.87 Newton

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