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teacher with a thick accent that doesn\'t explain well. Help me out please!! A c

ID: 2237702 • Letter: T

Question

teacher with a thick accent that doesn't explain well. Help me out please!! A crate of 42.8-{ m kg} 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 343N . After that you must reduce your push to 201 N to keep it moving at a steady 29.8cm/s} . What is the coefficient of static friction between the crate and the floor? What is the coefficient of kinetic friction between the crate and the floor? What push must you exert to give it an acceleration of 1.48 m/s^2 ? 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 { m{ m/s}}^2. What magnitude push would cause it to move? What would its acceleration be if you maintained the push in part C?

Explanation / Answer

weight of crate = 42.8x9.8 = 419.44 N

reaction force from ground R = 419.44

static friction force = (coeff of static friction)x419.44 = 343

coeff of static friction = 0.817

kinetic friction forrce = (coeff of kinetic friction) x 419.44 = 201

coeff of kinetic friction = 0.479


balancing force

F - 201 = 42.8 x 1.48

F = 264.34 is required to accelerate it with 1.48 m/s


on moon push required = 0.817 x 42.8 x 1.62 = 56.64 N


now again balancing force

264.34 - (42.8 x 1.62 x 0.479) = 42.8xa

aceeleration = 5.4 m/s^2