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[solution]: In the figure here, a stationary block explodes into two pieces L


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In the figure here, a stationary block explodes into two pieces L and R that slide across a frictionless floor and then into regions with friction, where they stop. Piece L, with a mass of 3.8 kg, encounters a coefficient of kinetic friction ?L = 0.38 and slides to a stop in distance dL = 0.36 m. Piece R encounters a coefficient of kinetic friction ?R = 0.35 and slides to a stop in distance dR = 0.36 m. What was the mass of the block?


Name

 


 

Block R

 

K0 ?

 

Ff

 

d

 

= Kf

 

2

 

½ m vo ?

 

?R

 

mg (dR) = 0

 

½ m vo2 =

 

?R

 

mg (dR)

 

2

 

vo =

 

0.35 x 9.81 x 0.36 x 2

 

vL =

 

1.57 m/s

 


 

Block L

 

K0 ?

 

Ff d = Kf

 

2

 

½ x 3.8 x vo ? 0.38 mg (0.36) = 0

 

vL =...

 


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