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A 39 kg crate sits on a horizontal floor. The coefficients of static and kinetic friction...

A 39 kg crate sits on a horizontal floor. The coefficients of static and kinetic friction between the crate and floor are 0.6 and 0.4, respectively. Use a coordinate system with +y pointing upwards.

a) How much force do you need to apply to get the crate sliding along the floor?
[  ,  ,  ] N

b) If the crate is moving with a speed of [0.8, 0, 0] m/s, what force is it experiencing due to friction as it slides?
[  ,  ,  ] N

c) If you instead have a crate with wheels, and the associated coefficients of static and kinetic friction are 0.5 and 0.3, respectively, how much force would you need to apply to get the wheeled crate moving from rest?
[  ,  ,  ] N

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