Final answer:
The magnitude of the backfill force on a 1 m wide slice of wall is 29.9 kN.
Step-by-step explanation:
To find the magnitude of the backfill force on a 1 m wide slice of wall, we can use the equation:
F = γ * h * w * cos(φ),
where F is the force, γ is the unit weight of the backfill, h is the height of the slice, w is the width of the slice, and φ is the angle of internal friction.
In this case, γ = 19 kN/m³, h = 6 m, w = 1 m, and φ = 35°.
Therefore, the magnitude of the backfill force on a 1 m wide slice of wall is: F = (19 kN/m³) * (6 m) * (1 m) * cos(35°) = 29.9 kN.