(Solved): In the figure here, a stationary block explodes into two pieces \( L \) and \( R \) that slide acro ...

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 \( 2.6 \mathrm{~kg} \). encounters a coefficient of kinetic friction \( \mu_{L}=0.31 \) and slides to as stop in distance \( d_{L}=0.34 \mathrm{~m} \). Piece \( R \) encounters a coefficient of kinetic friction \( \mu_{R}=0.47 \) and slides to a stop in distance \( d_{R}=0.43 \mathrm{~m} \). What was the mass of the block? Number Unit