a 100 kg crate rests on a floor with carpet. a tired worker pushes with a horizontal force of 500 n on the crate initially resting on a thick pile carpet. the coefficients of static and kinetic friction are 0.60 and 0.40, respectively. find the magnitude of the frictional force exerted by the surface of the crate by the carpet. hint: which type of friction acts in this case? what are the properties of different kinds of friction?