Here are the solutions to the problems:
7.6 How does the magnitude and direction of the horizontal force of the lawn that counters the movement of the roller in Question 7.5 differs to when the man pulls the roller with the same force?
Step 1: Compare the vertical components of the applied force.
When pushing (as in 7.5), the vertical component of the applied force is directed downwards, adding to the weight of the roller. This increases the normal force exerted by the roller on the lawn.
When pulling, the vertical component of the applied force is directed upwards, opposing the weight of the roller. This decreases the normal force exerted by the roller on the lawn.
Step 2: Compare the frictional forces