Final answer:
In Case A, both blocks have the same acceleration. In Case B, Block 1 has a lower acceleration than Block 2 due to its higher mass. The tension in the connecting rope and the frictional force on Block 2 can be calculated.
Step-by-step explanation:
In Case A, since the blocks have the same mass of 4.0 kg, the acceleration of both blocks will be the same. In both Case A and Case B, the tension in the connecting rope will be equal to the force required to accelerate the blocks. The frictional force on Block 2 can be calculated using the equation Ff = μk * m * g, where μk is the coefficient of kinetic friction, m is the mass of Block 2, and g is the acceleration due to gravity.
In Case B, since Block 1 has a higher mass of 8 kg compared to Block 2, the acceleration of Block 1 will be lower than Block 2. The tension in the connecting rope will be different for Block 1 and Block 2 because the force required to accelerate Block 1 is greater due to its higher mass.