A worker pushes horizontally on a 37 kg crate with a force of magnitude 115 N. T

Question

A worker pushes horizontally on a 37 kg crate with a force of magnitude 115 N. The coefficient of static friction between the crate and the floor is 0.37. What is the frictional force on the crate from the floor? N What is the maximum magnitude fS, max of the static frictional force under the circumstances? N Does the crate move? yes no cannot tell from the information given Suppose, next, that a second worker pulls directly upward on the crate to help out. What is the least vertical pull that will allow the first worker's 115 N push to move the crate? N If, instead, the second worker pulls horizontally to help out, what is the least pull that will get the crate moving? N

Explanation / Answer

m = 37 kg F = 115 N s = 0.37            a) F- fs = 0     ===>         fs = F = 115 N b) fs = s m g = 0.37 * 37 *9.8 = 134.62 N c) crate does not move. d)    F = fs = s [ mg - F' ]        ==> F' = mg   - ( F / s)                     = 37 * 9.8 -   ( 115 / 0.37)                     = 51.78 N e)   F + F' = smg        ==> F' = s m g- F = 0.37 * 37 * 9.8   - 115 =19.162 N

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