While a roofer is working on a roof that slants at 37.0 ∘∘ above the horizontal, he accidentally nudges his 92.0 NN toolbox, causing it to start sliding downward, starting from rest. If it starts 4.25 m from the lower edge of the roof, how fast will the toolbox be moving just as it reaches the edge of the roof if the kinetic friction force on it is 22.0 N?

The speed is  

Explanation:

From the question we are told that

      The angle of slant is  

       The weight of the toolbox is  

       The mass of the toolbox is

       The start point is   from lower edge of roof

        The kinetic frictional force is  

Generally the net work done on this tool box can be mathematically represented as

The workdone due to weigh is  =    

 The workdone due to friction is  =

Substituting this into the equation for net workdone  

      Substituting values

 According to work energy theorem

From the question we are told that it started from rest so  u = 0 m/s

Making v the subject

Substituting value

the answer to this question is 60 n

2b2t

explanation:

2b2t