Final answer:
The minimum work done by the force of friction is 58.8 J.
Step-by-step explanation:
To find the minimum work done, we need to calculate the force of friction first. The force of friction can be found using the formula F_friction = coefficient of friction × normal force. In this case, the normal force is equal to the weight of the block, which is given by W = mass × gravity.
So, W = 25 kg × 9.8 m/s² = 245 N. The force of friction is then F_friction = 0.8 × 245 N = 196 N.
The work done by the force of friction can be calculated using the formula Work = force × distance. In this case, the distance is given as 30 cm, which is equal to 0.3 m. So, the work done by the force of friction is Work = 196 N × 0.3 m = 58.8 J.